Cumulative frequency [160 marks]
1a.
Adam is a beekeeper who collected data about monthly honey production in his bee hives. The data for six of his hives is shown in the
following table.
The relationship between the variables is modelled by the regression line with equation .
Write down the value of and of .
P = aN + b
a b
1b. Use this regression line to estimate the monthly honey production from a hive that has 270 bees.
1c.
Adam has 200 hives in total. He collects data on the monthly honey production of all the hives. This data is shown in the following
cumulative frequency graph.
Adam’s hives are labelled as low, regular or high production, as defined in the following table.
Write down the number of low production hives.
1d.
Adam knows that 128 of his hives have a regular production.
Find the value of ;k
1e. Find the number of hives that have a high production.
1f. Adam decides to increase the number of bees in each low production hive. Research suggests that there is a probability of 0.75
that a low production hive becomes a regular production hive. Calculate the probability that 30 low production hives become regular
production hives.
[3 marks]
[2 marks]
[1 mark]
[3 marks]
[2 marks]
[3 marks]
2a.
A city hired 160 employees to work at a festival. The following cumulative frequency curve shows the number of hours employees
worked during the festival.
Find the median number of hours worked by the employees.
2b. Write down the number of employees who worked 50 hours or less.
2c.
The city paid each of the employees £8 per hour for the first 40 hours worked, and £10 per hour for each hour they worked after the first
40 hours.
Find the amount of money an employee earned for working 40 hours;
2d. Find the amount of money an employee earned for working 43 hours.
2e. Find the number of employees who earned £200 or less.
2f. Only 10 employees earned more than £ . Find the value of .k k
3a.
Ten students were surveyed about the number of hours, , they spent browsing the Internet during week 1 of the school year. The
results of the survey are given below.
Find the mean number of hours spent browsing the Internet.
x
10∑
i=1 xi = 252, σ = 5 and median = 27.
[2 marks]
[1 mark]
[1 mark]
[3 marks]
[3 marks]
[4 marks]
[2 marks]
3b. During week 2, the students worked on a major project and they each spent an additional five hours browsing the Internet. For
week 2, write down
(i) the mean;
(ii) the standard deviation.
3c. During week 3 each student spent 5% less time browsing the Internet than during week 1. For week 3, find
(i) the median;
(ii) the variance.
3d.
During week 4, the survey was extended to all 200 students in the school. The results are shown in the cumulative frequency graph:
(i) Find the number of students who spent between 25 and 30 hours browsing the Internet.
(ii) Given that 10% of the students spent more than k hours browsing the Internet, find the maximu ...
This document contains a math review for the 3rd period at Colegio San Patricio for the 2009-2010 school year. It includes 20 practice problems covering various math topics like comparing ratios, measures of central tendency, numerical sequences, linear equations, graphing linear equations, and calculating slope. The student is asked to solve problems involving these concepts and identify things like rules for sequences, solutions to equations, values on graphs, and slopes of lines.
This document contains a 65-question multiple choice mathematics exam covering topics such as mean, median, mode, and range; data interpretation from graphs and tables; order of operations; ratios and proportions; percentages; geometry (lines, angles, polygons); and more. The questions require students to choose the correct answer, perform calculations, classify shapes, interpret data, and explain mathematical statements.
This document contains 200 quantitative aptitude questions divided into different categories such as LCM and HCF, Average, Equations, Time and Work, Partnership, etc. Each section contains 10 questions on the relevant topic with explanations for the answers. The questions range from easy to moderate difficulty levels and test a variety of concepts in mathematics.
This document contains information on various math topics organized under different subheadings:
1. The topics covered include algebra, shapes, data, numbers, adding/subtracting decimals and fractions, direct proportion, BIDMAS rules, factors and HCF, factor trees, directed numbers, equivalent fractions, ratio, finding percentages, HCF and LCM, indirect proportion, fractions/decimals/percentages, limits, multiples, multiplying/dividing fractions and decimals, ordering fractions and decimals, percentage increase/decrease, and rounding to significant figures.
2. There are examples and multi-step problems provided under each topic for practice.
3. The document serves as a review of various math concepts and skills for
This document provides a summary of mathematics content and activities for Grade VII students in Indonesia. It covers two chapters:
Chapter 1 focuses on whole numbers, including expressing temperatures in whole numbers, performing calculations with whole numbers, drawing number lines, and solving word problems involving addition, subtraction, multiplication and division of whole numbers.
Chapter 2 covers fractional numbers, including writing fractions in numeral and word form, reducing fractions to simplest form, comparing and ordering fractions, expressing fractions as mixed numbers or whole numbers, and performing calculations with fractions.
1. This document is a business mathematics exam for grade 12 students containing 10 questions in Group A and 8 questions in Group B. It provides the instructions, questions, and content for the exam.
2. The exam covers a range of business mathematics topics including algebra, calculus, probability, statistics, and financial mathematics. Questions involve rewriting inequalities, evaluating functions, solving equations using Cramer's rule, finding derivatives, integrals, maximum/minimum values, standard deviation, partnership profit sharing, interest calculations, and more.
3. The exam is 3 hours long and students are required to show their work and provide answers in their own words for all questions across the two groups worth a total of 100 marks.
1) The document provides examples of calculating percentages, including converting between fractions, decimals, and percentages. It asks the reader to find percentages of numbers, such as 20% of RM80.
2) Several word problems involve calculating percentages, such as determining the percentage of a village that is Chinese based on information about other percentages, or calculating a person's monthly salary given they spend 60% of it on household expenses.
3) Tables ask the reader to determine percentages of profit/loss when given cost prices and selling prices of items.
This document consists of 18 printed pages and 2 blank pages related to a mathematics exam. It includes 8 multi-part questions covering topics such as ratios, cumulative frequency diagrams, geometry, trigonometry, functions, and vectors. The total number of marks for this paper is 130.
This document contains a math review for the 3rd period at Colegio San Patricio for the 2009-2010 school year. It includes 20 practice problems covering various math topics like comparing ratios, measures of central tendency, numerical sequences, linear equations, graphing linear equations, and calculating slope. The student is asked to solve problems involving these concepts and identify things like rules for sequences, solutions to equations, values on graphs, and slopes of lines.
This document contains a 65-question multiple choice mathematics exam covering topics such as mean, median, mode, and range; data interpretation from graphs and tables; order of operations; ratios and proportions; percentages; geometry (lines, angles, polygons); and more. The questions require students to choose the correct answer, perform calculations, classify shapes, interpret data, and explain mathematical statements.
This document contains 200 quantitative aptitude questions divided into different categories such as LCM and HCF, Average, Equations, Time and Work, Partnership, etc. Each section contains 10 questions on the relevant topic with explanations for the answers. The questions range from easy to moderate difficulty levels and test a variety of concepts in mathematics.
This document contains information on various math topics organized under different subheadings:
1. The topics covered include algebra, shapes, data, numbers, adding/subtracting decimals and fractions, direct proportion, BIDMAS rules, factors and HCF, factor trees, directed numbers, equivalent fractions, ratio, finding percentages, HCF and LCM, indirect proportion, fractions/decimals/percentages, limits, multiples, multiplying/dividing fractions and decimals, ordering fractions and decimals, percentage increase/decrease, and rounding to significant figures.
2. There are examples and multi-step problems provided under each topic for practice.
3. The document serves as a review of various math concepts and skills for
This document provides a summary of mathematics content and activities for Grade VII students in Indonesia. It covers two chapters:
Chapter 1 focuses on whole numbers, including expressing temperatures in whole numbers, performing calculations with whole numbers, drawing number lines, and solving word problems involving addition, subtraction, multiplication and division of whole numbers.
Chapter 2 covers fractional numbers, including writing fractions in numeral and word form, reducing fractions to simplest form, comparing and ordering fractions, expressing fractions as mixed numbers or whole numbers, and performing calculations with fractions.
1. This document is a business mathematics exam for grade 12 students containing 10 questions in Group A and 8 questions in Group B. It provides the instructions, questions, and content for the exam.
2. The exam covers a range of business mathematics topics including algebra, calculus, probability, statistics, and financial mathematics. Questions involve rewriting inequalities, evaluating functions, solving equations using Cramer's rule, finding derivatives, integrals, maximum/minimum values, standard deviation, partnership profit sharing, interest calculations, and more.
3. The exam is 3 hours long and students are required to show their work and provide answers in their own words for all questions across the two groups worth a total of 100 marks.
1) The document provides examples of calculating percentages, including converting between fractions, decimals, and percentages. It asks the reader to find percentages of numbers, such as 20% of RM80.
2) Several word problems involve calculating percentages, such as determining the percentage of a village that is Chinese based on information about other percentages, or calculating a person's monthly salary given they spend 60% of it on household expenses.
3) Tables ask the reader to determine percentages of profit/loss when given cost prices and selling prices of items.
This document consists of 18 printed pages and 2 blank pages related to a mathematics exam. It includes 8 multi-part questions covering topics such as ratios, cumulative frequency diagrams, geometry, trigonometry, functions, and vectors. The total number of marks for this paper is 130.
The document contains multiple math and word problems. It provides the steps to solve union of sets A and B where A = {-4,-2,0,2,4} and B = {-4,-2,0,3,4}. It also calculates the breakeven point given total sales and costs for a business. A third problem determines the number of participants from private teacher education institutions given percentages from different groups.
This document contains a multi-part math exam review with multiple choice and short answer questions. It provides practice problems covering topics like geometry, ratios, equations, expressions, and word problems. The review is designed to help students prepare for their math final exam.
Alhikmah preparation for checkpoint math paper 2Wina Winarni
This document contains 20 math problems for a checkpoint exam covering various topics:
1) Matching shapes to their names
2) Rounding a number to the nearest thousand
3) Identifying equivalent expressions
4) Finding the lowest recorded temperature from a data table
5) Calculating probability using numbers of different colored socks
6) Calculating percentages and ratios to solve problems about test scores
7) Identifying reflections and rotations of shapes
8) Calculating gradients, drawing graphs from tables of values, and solving simultaneous equations graphically
9) Adding brackets to make an expression true
10) Identifying the calculation with the largest answer
11) Interpreting data from bar graphs and determining which class performed
Alhikmah preparation for checkpoint math paper 2Wina Winarni
This document contains 20 math problems for a checkpoint exam covering various topics:
1) Matching shapes to their names
2) Rounding a number to the nearest thousand
3) Identifying equivalent expressions
4) Finding the lowest recorded temperature from a data table
5) Calculating probability using numbers of different colored socks
6) Calculating percentages to determine number of correct test answers
7) Identifying reflections and rotations of shapes
8) Calculating gradient, drawing a line graph, and solving simultaneous equations from graphs
9) Adding brackets to make an expression true
10) Identifying the calculation with the largest answer
11) Determining which class performed better on a test based on range of scores
The document provides an overview of different math topics including whole numbers, fractions, decimals, money, and percentage. It lists the key concepts and formulas for each topic. It also includes review questions to test memorization of important math facts related to time, length, mass, volume, and measurement units.
Multiple Choice Questions (Enter your answers on the enclosed answer.docxclairbycraft
Multiple Choice Questions (Enter your answers on the enclosed answer sheet)
Choose the one alternative that best completes the statement or answers the question.
Write the word name for the given number. 1. 22,000,674
a. Twenty-two million, six thousand seventy-four
b. Two million, two thousand, six hundred seventy-four
c. Twenty-two hundred million, six hundred seventy-four
d. Twenty-two million, six hundred seventy-four
2. 2,601,400,070
a. Two hundred sixty million, one hundred forty thousand, seventy
b. Two hundred sixty-one million, four hundred thousand, seven hundred c. Two billion, six hundred one million, four hundred thousand, seventy d. Two billion, six hundred one million, forty thousand, seventy
Write each whole number in standard form.
3. Andy collected eighty-two thousand dollars for his campaign.
a. 8200
b. 82,000
c. 80,002
d. 802,000
Add.
4. 7,651 + 3,874 =
a. 11,525
b. 34,636
c. 31,487
d. 12,678
5. 148 + 55 =
a. 226
b. 212
c. 203
d. 213
Solve.
6. A town’s population in 1976 was 111,835. By the year 2000 it had increased by 25,952. How many people lived there in 2000?
a. 137,787 people
b. 138,787 people
c. 136,787 people
d. 137,887 people
Subtract.
7. 9699 - 5554 =
a. 9145
b. 4145
c. 4037
d. 4137
Subtract. Use borrowing, if necessary. 8. 83,128 - 58,955 =
a. 24,163
b. 24,123
c. 32,173
d. 24,173
Multiply.
9. 62 × 9 =
a. 551
b. 658
c. 548
d. 558
Provide an appropriate response.
10. What is x if x = 7 ∙ 1 ∙ 5 ∙ 0?
a. x = 35
b. x = 13
c. x = 1
d. x = 0
Simplify.
11. 63 × 83 - (6 - 4) =
a. 286
b. 300
c. 2549
d. 5227
Write using exponential notation. 12. 9 × 9 × 9 × 9
a. 94
b. 94
c. 36
d. 92
Round as indicated.
13. 7101 to the nearest hundred
a. 7100
b. 7110
c. 7000
d. 7200
Solve.
14. A store has gross revenues of $6122, $6695, $4363, and $4601 in its first four weeks of business. What was the gross revenue for those four weeks?
a. $21,881
b. $21,781
c. $20,781
d. $22,331
15. Leslie enjoys skiing in the winter. Last year she skied 21 times and spent a total of $693. How much did it cost her each time?
a. $14,553
b. $672
c. $34
d. $33
Write the fraction.
16. Of the 157 students at a high school, 35 are sophomores. What fraction of the students are sophomores?
a. 157/35
b. 35/157
c. 35/122
d. 122/35
Reduce the fraction by finding a common factor in the numerator and in the denominator and dividing by the common factor.
17. (55/65)
a. (55/65)
b. (5/13)
c. (11/13)
d. (11/5)
Identify if the whole number is prime or composite.
18. 30
a. Prime
b. Composite
Write the improper fraction as a mixed or whole number.
19. (252/11)
a. (11/252)
b. 252252/11
c. 2521 52
d. 2210/11
Reduce the improper fraction.
20. 99/44
11/4
9/11
9/4
4/11
Change to a mixed number and reduce.
21. (344/20)
a. 17
b.174/5
c. 171/5
d. 175/4
Multiply. Write the answer in simplest form.
22. (3/7) × (1/9) =
a. (1/21)
b. (1/4)
c. (7/27)
d. (4/63)
Solve. Write the answer in simplest form.
23. Julie’s Cinema received $5460 i ...
This document contains a 20 question math review covering various topics for the 3rd period at Colegio San Patricio for the 2010-2011 school year. The review includes questions on comparing ratios, measures of central tendency, numerical sequences, linear equations, graphing linear equations, and calculating slope. It provides the student's name, list number, teacher, and date to be completed at the top.
This document contains a 20 question math review covering various topics including:
1) Comparing ratios by analyzing bottles of ketchup and unemployment rates
2) Calculating mean, median, and mode for sets of numbers
3) Identifying patterns in numerical sequences
4) Solving linear equations and writing linear models for word problems
5) Graphing lines using tables, x-y intercepts, and slope
This document contains a 20 question math review covering various topics including:
1) Comparing ratios by analyzing bottles of ketchup and unemployment rates
2) Calculating mean, median, and mode for sets of numbers
3) Identifying patterns in numerical sequences
4) Solving linear equations involving rates, slopes, and algebraic expressions
5) Graphing linear equations using tables, intercepts, and slope-intercept form
The review is intended for an 8th grade math class at Colegio San Patricio for the 2010-2011 school year.
This document contains a 20 question math review covering various topics including:
1) Comparing ratios by analyzing bottles of ketchup and unemployment rates
2) Calculating mean, median, and mode for sets of numbers
3) Identifying patterns in numerical sequences
4) Solving linear equations and writing linear models for word problems
5) Graphing lines using tables, x-y intercepts, and slope
Preparation for checkpoint math paper 2Wina Winarni
This document contains 20 math problems and questions for a checkpoint exam. The questions cover a range of topics including shapes, rounding numbers, expressions, temperature, probability, ratios, graphs, simultaneous equations, fractions, statistics, maps, factorizing expressions, word problems involving time, speed, and distance, geometry, volumes, and the Pythagorean theorem. The questions are presented in the student's native language with translations provided.
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This document contains a practice test with 36 multiple choice questions covering various math and science concepts. It provides instructions to take the test and wait for everyone to finish before answering. It also includes the questions, multiple choice answers, and solutions to each question. The document aims to help students prepare for an exam by providing a sample test for practice.
The document contains a practice test for a 7th grade math assessment with 500 multiple choice questions covering topics like fractions, order of operations, geometry, probability, and more. Each question is numbered and includes 4 answer options with the correct answer indicated. The test reviews essential 7th grade math concepts and skills in a standardized multiple choice format.
The document contains multiple math and word problems. It provides the steps to solve problems involving sets, percentages, rates of interest, and profit calculations. For example, it shows how to calculate the number of subsets of a set with 5 elements (which is 32) and how to determine the profit a bag manufacturer would need to make by calculating the profit per bag and setting up an equation to solve for the number of bags.
This mathematics trial HSC exam contains two sections worth a total of 101 marks. Section I is multiple choice worth 10 marks and allows 15 minutes. Section II contains longer answer questions worth 91 marks and allows around 2 hours and 45 minutes. Questions cover a range of math topics including differentiation, statistics, algebra, integration, series, trigonometry, logarithms and exponentials, and probability. Students are provided with a reference sheet and calculators approved by NESA may be used. Relevant working must be shown for questions 11-34.
This document contains topics related to algebra, shape, data, numbers, decimals, fractions, proportions, BIDMAS rules, factors and HCF, directed numbers, ratios, percentages, fractions and decimals, limits, multiples, and fractions. It includes examples and multi-step problems involving these mathematical concepts.
This document contains 6 math homework assignments with multiple word problems in each assignment. The problems involve skills like calculating sums, differences, products, quotients, percentages, ratios, proportions, measurement conversions, and solving basic equations. Geometry problems include finding perimeters, areas, volumes of basic shapes. Overall, the document provides a variety of math practice problems at an intermediate skill level.
hiExplain what is Hadoop, how its fit into the Data Wareho.docxjeniihykdevara
hi
Explain what is
Hadoop
, how its fit into the Data Warehouse creation/utilization concept, what advantages its bring over the earlier and more traditional DW back-end technologies, and any other material on these topic that you find interesting.
write two paragraphs about that.
.
Hide Folder InformationThis project is due in about 3 12 hour.docxjeniihykdevara
Hide Folder Information
This project is due in about 3 1/2 hours, I submitted the wrong one yesterday (will still pay the service) but need THIS one accomplished soon. Any takers?
Digital media has changed the ways ideas, information, and arguments in society are communicated both locally and globally. Individuals and organizations frequently use digital media as a means to influence individuals and organizations.
Students are required to identify a specific company, organization, or individual and demonstrate how digital media has been used to influence or change its core business processes. You will then create a presentation (using an application like PowerPoint) which interprets and analyzes how the messages within the digital media were used to guide decision-making.
Formatting Requirements
Project must follow APA style
Footers including slide numbers, student name, and project name
File name first initial, last name and project (ex. BWright_presentation)
Minimum of 15 slides, maximum 20 slides (excluding title slide and bibliographical slide)
Use of tables, graphs, images, etc. of appropriate size that are relevant to the information being conveyed is highly encouraged.
Title slide to include:
Your name
Instructor name
Course name and number
Project title
Content Requirements
Introduction and Synopsis of Company, Organization or Individual.
Influence on or change to Organization and/or Individual
Analysis of How Digital Media Guided Decision Making
Conclusion and Analysis of Results of Change
Bibliographical slide with minimum of 2 professional / scholarly sources. Wikipedia is not acceptable.
Keep in mind the 7 x 7 rule with presentation software, which effectively states no more than 7 words per bullet and 7 bullets per slide. This something to keep in mind to assist in effectively communicating information and not a specific requirement of the project.
Complete and submit your project no later than 11:59PM (ET) on 02/14/2016.
.
More Related Content
Similar to Cumulative frequency [160 marks]1a.Adam is a beekeeper
The document contains multiple math and word problems. It provides the steps to solve union of sets A and B where A = {-4,-2,0,2,4} and B = {-4,-2,0,3,4}. It also calculates the breakeven point given total sales and costs for a business. A third problem determines the number of participants from private teacher education institutions given percentages from different groups.
This document contains a multi-part math exam review with multiple choice and short answer questions. It provides practice problems covering topics like geometry, ratios, equations, expressions, and word problems. The review is designed to help students prepare for their math final exam.
Alhikmah preparation for checkpoint math paper 2Wina Winarni
This document contains 20 math problems for a checkpoint exam covering various topics:
1) Matching shapes to their names
2) Rounding a number to the nearest thousand
3) Identifying equivalent expressions
4) Finding the lowest recorded temperature from a data table
5) Calculating probability using numbers of different colored socks
6) Calculating percentages and ratios to solve problems about test scores
7) Identifying reflections and rotations of shapes
8) Calculating gradients, drawing graphs from tables of values, and solving simultaneous equations graphically
9) Adding brackets to make an expression true
10) Identifying the calculation with the largest answer
11) Interpreting data from bar graphs and determining which class performed
Alhikmah preparation for checkpoint math paper 2Wina Winarni
This document contains 20 math problems for a checkpoint exam covering various topics:
1) Matching shapes to their names
2) Rounding a number to the nearest thousand
3) Identifying equivalent expressions
4) Finding the lowest recorded temperature from a data table
5) Calculating probability using numbers of different colored socks
6) Calculating percentages to determine number of correct test answers
7) Identifying reflections and rotations of shapes
8) Calculating gradient, drawing a line graph, and solving simultaneous equations from graphs
9) Adding brackets to make an expression true
10) Identifying the calculation with the largest answer
11) Determining which class performed better on a test based on range of scores
The document provides an overview of different math topics including whole numbers, fractions, decimals, money, and percentage. It lists the key concepts and formulas for each topic. It also includes review questions to test memorization of important math facts related to time, length, mass, volume, and measurement units.
Multiple Choice Questions (Enter your answers on the enclosed answer.docxclairbycraft
Multiple Choice Questions (Enter your answers on the enclosed answer sheet)
Choose the one alternative that best completes the statement or answers the question.
Write the word name for the given number. 1. 22,000,674
a. Twenty-two million, six thousand seventy-four
b. Two million, two thousand, six hundred seventy-four
c. Twenty-two hundred million, six hundred seventy-four
d. Twenty-two million, six hundred seventy-four
2. 2,601,400,070
a. Two hundred sixty million, one hundred forty thousand, seventy
b. Two hundred sixty-one million, four hundred thousand, seven hundred c. Two billion, six hundred one million, four hundred thousand, seventy d. Two billion, six hundred one million, forty thousand, seventy
Write each whole number in standard form.
3. Andy collected eighty-two thousand dollars for his campaign.
a. 8200
b. 82,000
c. 80,002
d. 802,000
Add.
4. 7,651 + 3,874 =
a. 11,525
b. 34,636
c. 31,487
d. 12,678
5. 148 + 55 =
a. 226
b. 212
c. 203
d. 213
Solve.
6. A town’s population in 1976 was 111,835. By the year 2000 it had increased by 25,952. How many people lived there in 2000?
a. 137,787 people
b. 138,787 people
c. 136,787 people
d. 137,887 people
Subtract.
7. 9699 - 5554 =
a. 9145
b. 4145
c. 4037
d. 4137
Subtract. Use borrowing, if necessary. 8. 83,128 - 58,955 =
a. 24,163
b. 24,123
c. 32,173
d. 24,173
Multiply.
9. 62 × 9 =
a. 551
b. 658
c. 548
d. 558
Provide an appropriate response.
10. What is x if x = 7 ∙ 1 ∙ 5 ∙ 0?
a. x = 35
b. x = 13
c. x = 1
d. x = 0
Simplify.
11. 63 × 83 - (6 - 4) =
a. 286
b. 300
c. 2549
d. 5227
Write using exponential notation. 12. 9 × 9 × 9 × 9
a. 94
b. 94
c. 36
d. 92
Round as indicated.
13. 7101 to the nearest hundred
a. 7100
b. 7110
c. 7000
d. 7200
Solve.
14. A store has gross revenues of $6122, $6695, $4363, and $4601 in its first four weeks of business. What was the gross revenue for those four weeks?
a. $21,881
b. $21,781
c. $20,781
d. $22,331
15. Leslie enjoys skiing in the winter. Last year she skied 21 times and spent a total of $693. How much did it cost her each time?
a. $14,553
b. $672
c. $34
d. $33
Write the fraction.
16. Of the 157 students at a high school, 35 are sophomores. What fraction of the students are sophomores?
a. 157/35
b. 35/157
c. 35/122
d. 122/35
Reduce the fraction by finding a common factor in the numerator and in the denominator and dividing by the common factor.
17. (55/65)
a. (55/65)
b. (5/13)
c. (11/13)
d. (11/5)
Identify if the whole number is prime or composite.
18. 30
a. Prime
b. Composite
Write the improper fraction as a mixed or whole number.
19. (252/11)
a. (11/252)
b. 252252/11
c. 2521 52
d. 2210/11
Reduce the improper fraction.
20. 99/44
11/4
9/11
9/4
4/11
Change to a mixed number and reduce.
21. (344/20)
a. 17
b.174/5
c. 171/5
d. 175/4
Multiply. Write the answer in simplest form.
22. (3/7) × (1/9) =
a. (1/21)
b. (1/4)
c. (7/27)
d. (4/63)
Solve. Write the answer in simplest form.
23. Julie’s Cinema received $5460 i ...
This document contains a 20 question math review covering various topics for the 3rd period at Colegio San Patricio for the 2010-2011 school year. The review includes questions on comparing ratios, measures of central tendency, numerical sequences, linear equations, graphing linear equations, and calculating slope. It provides the student's name, list number, teacher, and date to be completed at the top.
This document contains a 20 question math review covering various topics including:
1) Comparing ratios by analyzing bottles of ketchup and unemployment rates
2) Calculating mean, median, and mode for sets of numbers
3) Identifying patterns in numerical sequences
4) Solving linear equations and writing linear models for word problems
5) Graphing lines using tables, x-y intercepts, and slope
This document contains a 20 question math review covering various topics including:
1) Comparing ratios by analyzing bottles of ketchup and unemployment rates
2) Calculating mean, median, and mode for sets of numbers
3) Identifying patterns in numerical sequences
4) Solving linear equations involving rates, slopes, and algebraic expressions
5) Graphing linear equations using tables, intercepts, and slope-intercept form
The review is intended for an 8th grade math class at Colegio San Patricio for the 2010-2011 school year.
This document contains a 20 question math review covering various topics including:
1) Comparing ratios by analyzing bottles of ketchup and unemployment rates
2) Calculating mean, median, and mode for sets of numbers
3) Identifying patterns in numerical sequences
4) Solving linear equations and writing linear models for word problems
5) Graphing lines using tables, x-y intercepts, and slope
Preparation for checkpoint math paper 2Wina Winarni
This document contains 20 math problems and questions for a checkpoint exam. The questions cover a range of topics including shapes, rounding numbers, expressions, temperature, probability, ratios, graphs, simultaneous equations, fractions, statistics, maps, factorizing expressions, word problems involving time, speed, and distance, geometry, volumes, and the Pythagorean theorem. The questions are presented in the student's native language with translations provided.
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This document contains a practice test with 36 multiple choice questions covering various math and science concepts. It provides instructions to take the test and wait for everyone to finish before answering. It also includes the questions, multiple choice answers, and solutions to each question. The document aims to help students prepare for an exam by providing a sample test for practice.
The document contains a practice test for a 7th grade math assessment with 500 multiple choice questions covering topics like fractions, order of operations, geometry, probability, and more. Each question is numbered and includes 4 answer options with the correct answer indicated. The test reviews essential 7th grade math concepts and skills in a standardized multiple choice format.
The document contains multiple math and word problems. It provides the steps to solve problems involving sets, percentages, rates of interest, and profit calculations. For example, it shows how to calculate the number of subsets of a set with 5 elements (which is 32) and how to determine the profit a bag manufacturer would need to make by calculating the profit per bag and setting up an equation to solve for the number of bags.
This mathematics trial HSC exam contains two sections worth a total of 101 marks. Section I is multiple choice worth 10 marks and allows 15 minutes. Section II contains longer answer questions worth 91 marks and allows around 2 hours and 45 minutes. Questions cover a range of math topics including differentiation, statistics, algebra, integration, series, trigonometry, logarithms and exponentials, and probability. Students are provided with a reference sheet and calculators approved by NESA may be used. Relevant working must be shown for questions 11-34.
This document contains topics related to algebra, shape, data, numbers, decimals, fractions, proportions, BIDMAS rules, factors and HCF, directed numbers, ratios, percentages, fractions and decimals, limits, multiples, and fractions. It includes examples and multi-step problems involving these mathematical concepts.
This document contains 6 math homework assignments with multiple word problems in each assignment. The problems involve skills like calculating sums, differences, products, quotients, percentages, ratios, proportions, measurement conversions, and solving basic equations. Geometry problems include finding perimeters, areas, volumes of basic shapes. Overall, the document provides a variety of math practice problems at an intermediate skill level.
hiExplain what is Hadoop, how its fit into the Data Wareho.docxjeniihykdevara
hi
Explain what is
Hadoop
, how its fit into the Data Warehouse creation/utilization concept, what advantages its bring over the earlier and more traditional DW back-end technologies, and any other material on these topic that you find interesting.
write two paragraphs about that.
.
Hide Folder InformationThis project is due in about 3 12 hour.docxjeniihykdevara
Hide Folder Information
This project is due in about 3 1/2 hours, I submitted the wrong one yesterday (will still pay the service) but need THIS one accomplished soon. Any takers?
Digital media has changed the ways ideas, information, and arguments in society are communicated both locally and globally. Individuals and organizations frequently use digital media as a means to influence individuals and organizations.
Students are required to identify a specific company, organization, or individual and demonstrate how digital media has been used to influence or change its core business processes. You will then create a presentation (using an application like PowerPoint) which interprets and analyzes how the messages within the digital media were used to guide decision-making.
Formatting Requirements
Project must follow APA style
Footers including slide numbers, student name, and project name
File name first initial, last name and project (ex. BWright_presentation)
Minimum of 15 slides, maximum 20 slides (excluding title slide and bibliographical slide)
Use of tables, graphs, images, etc. of appropriate size that are relevant to the information being conveyed is highly encouraged.
Title slide to include:
Your name
Instructor name
Course name and number
Project title
Content Requirements
Introduction and Synopsis of Company, Organization or Individual.
Influence on or change to Organization and/or Individual
Analysis of How Digital Media Guided Decision Making
Conclusion and Analysis of Results of Change
Bibliographical slide with minimum of 2 professional / scholarly sources. Wikipedia is not acceptable.
Keep in mind the 7 x 7 rule with presentation software, which effectively states no more than 7 words per bullet and 7 bullets per slide. This something to keep in mind to assist in effectively communicating information and not a specific requirement of the project.
Complete and submit your project no later than 11:59PM (ET) on 02/14/2016.
.
Hi, i have a draft of my paper about technology need to be fina.docxjeniihykdevara
Hi,
i have a draft of my paper about technology need to be finalized.
It has 3 1/2 pages to 4 pages now, and need to be finalized to 5-6 pages. it is about technology.
i am a freshmen and international student, so no fancy words needed. just make it general.
i need it tmr afternoon.
if i want to make the deal with you, i will send you my draft by email.
thx
.
Hi,Write a narrative essay.The topic for this essay Write a.docxjeniihykdevara
Hi,
Write a narrative essay.
The topic for this essay: Write an essay in which you use narration and description to recreate a time and place when you felt like an outsider or felt threatened in some way. Make sure to show the reader what you learned from this experience.
I attached the outline.
.
Hi,The paper is Masters degree level. Must be written in APA styl.docxjeniihykdevara
Hi,
The paper is Master's degree level. Must be written in APA style and is 10 pages in length. I have the resources lis to use but please only respond if you have access to EBSCO or I will not hire you. The paper looks at a fictitious case study and then you are to write an evaluation plan, a group level and individual level intervention plan. More details in email when I choose soemone. Thanks.
.
High and Low Context CommunicationResearch high and low context co.docxjeniihykdevara
High and Low Context Communication
Research high and low context communication. High and low context communication is a style of communication that caters to people in groups that have similar experiences and expectations.
Many things are left unsaid in this style of communication and the context of the message is filled in by the person’s understanding of the culture.
It is reasonable to assume that most police officers use this style of communication within their communities.
Determine how this could be a problem in communication between a police officer and a person who speaks English as a second language and in a 2-3 page paper in APA formatting describe how police officers can be trained to deal with this situation.
.
Hi,Please answer all three questions below, also attached textbook.docxjeniihykdevara
Hi,
Please answer all three questions below, also attached textbook for references.
1. What challenges or opportunities will social media present in reaching during disasters, unique populations such as non-English speakers or individuals with disabilities?
2. How do consumers of social media messages distinguish credible from less credible information? How can emergency managers create and disseminate messages that have high credibility?
3. What are the special characteristics of the emergency management community that limit the adoption social media?
Note:
·
Have at least 2 References (you can have more than two references)
·
Have at least 500 words (you can exceed 500 words)
·
Double-spaced
·
Font size 12
Please, I will appreciate it if you can send me the answers on Friday (December 4, 2015) by 6:30 pm. Thanks
Best regards...Owanaba
.
Hi,Please find attached the article and answer the question below.docxjeniihykdevara
Hi,
Please find attached the article and answer the question below:
Based on your understanding of the assigned reading in Chap2, answer the following two essay
questions:
1. Why is social media important to the future of emergency management?
2. Should the emergency management community utilize current social media systems for the development of these technologies or create new systems like the First Responder
Communities of Practice?
Notes:
·
2 pages (max)
·
Double-spaced
·
Font size 12
Please I will appreciate it if you can send me the answers tomorrow by 18:45(6:45pm). Thanks
Best regards...Owanaba
.
Hi,I want a report about the uploaded case study. These are the .docxjeniihykdevara
Hi,
I want a report about the uploaded case study. These are the questions.
Questions:
1. Russia’s transition to capitalism did not go as planned. What went wrong?
2. Who is to blame?
3. What is to be done?
Note that each question should be answered seperately.
The instructions are:-
1-The paper should be 11 pages.
2-Only 5 writing pages and the other 6 mostly exhibits (Charts)
3-The Exhibits can be from the internet but mostly referred to in answering the questions.
4-The font is 12 double spaced.
5-The Citation scale is APA.
6-The case study should be the main resource and you can use two additional resources.
.
Hi,I need someone to implement my paper in part of1.result&discu.docxjeniihykdevara
Hi,
I need someone to implement my paper in part of
1.result&discussion(result you can make up if possible)
2. conclusion
3. add technical terms
4. some appendix
5. add more references
Paper in topic: Non-Human Factors Analysis of Aviation Accident Focus on Machine Failure.
.
Hi,I have a book discussion in my literature class, the book is .docxjeniihykdevara
Hi,
I have a book discussion in my literature class, the book is Look back in anger by john osborne. I have uploaded an attachment with instructions for the discussion. there will be 2 topics, choose one of them and work on it . I'm gonna need examples and page numbers for the examples.
so please look at the attachment and let me know if you need more info.
best
.
Hi,I got two summaries. Each summary is ONE PAGE.The first.docxjeniihykdevara
Hi,
I got two summaries.
Each summary is ONE PAGE.
The first one is a summary of the article "The inside and the outside" attached here.
The second one is a summary of the first two pages of "The politics of the derestoration" ONYL THE FIRST TWO PAGES. Skip the first page that has the conditions, start from the page where the article starts.
.
Hi, I need this assingment by tomorrow 12415 at 1159PM. I hav.docxjeniihykdevara
This document provides instructions for an assignment that is due tomorrow at 11:59PM. The assignment asks the reader to review an attached article on trends in healthcare finance, answer two questions about the major trends and their effects on quality services, and cite any sources in a 100+ word response.
Hi, I need this discussion question answered by 1159pm tomorrow Fri.docxjeniihykdevara
The document requests that an ethics discussion question be answered by Friday July 17th, 2015 at 11:59pm. The discussion question asks to review definitions of four ethical theories - Kantianism, Utilitarianism, Liberal Individualism, and Communitarianism - and describe a real-life example for each from both a personal and career perspective.
Hi,I have three article, what I need is a one page summary of a .docxjeniihykdevara
Hi,
I have three article, what I need is a one page summary of a short section of each article.
I have the sections names so what you gotta do is summarizing the section not the whole articles.
1-The first article is "Feldman_ArtB_INtercultural" and the required section is "Royal Diplomacy and the International Concept of Kingship" on page 19.
2-The econd article is "Linzey_Imhotep" and the required section is "The Pyramid Texts".
3-The third article is "Pittman_1996" and the required section is "The Gebel el-Arak" on page3
YOU HAVE 4 HOURS!!
.
Hi, I need help writing an art history paper wondering if you could .docxjeniihykdevara
The student needs help writing an art history paper about the living artist Richard Serra and his large-scale metal sculptures. The paper must discuss Serra's collections and exhibitions, how his work relates to installation art, and comparisons to specific works by Ilya Kabakov, Judy Chicago, and Christo and Jeanne-Claude that involve installation elements. They are requesting help researching and writing the paper.
Hi, I need help with my papers but I need someone with experience in.docxjeniihykdevara
Hi, I need help with my papers but I need someone with experience in research. My paper is about 45 pages long. I wrote it already but I need someone to rewrite it for clarificaion edit, grammar that it makes sense. This is a graduate level paper. I'll pay 150.00. Please email me if you can help so we can get started. Thanks
.
Hi, I have an assignment in my religion class, I have uploaded the i.docxjeniihykdevara
Hi, I have an assignment in my religion class, I have uploaded the instructions and the readings that we've used in the class for the past two weeks and the paper have to be connected to the readings and for what we discussed in class.
this is the topic of the paper , please look at everything cerfully and let me know if you can do it.
Reflection 2:
Based on at least one of the definitions of religion and nature we’ve discussed over the last
two weeks, is it valid to think of environmentalism as a religion, as suggested by Thomas
Dunlap? Explain your reasoning, being sure to consider multiple possible answers in
addition to defending your own.
thank you
.
Hi, I need a 3-3.5 page paper about 2 books and a text. First book .docxjeniihykdevara
Hi, I need a 3-3.5 page paper about 2 books and a text. First book: The Giver by Lois Lowry. Second book: The Island Dr. Moreau by H.G. Wells. Text: What is Enlightenment by Immaneul Kant. And I also have some notes that need to be followed. How can I uplead the pics? Noting that I'm an international student, so NOT a native paper. I need the assignment by Dec 8th
.
Hi, I have an assignment in my behavior in organization class, its .docxjeniihykdevara
Hi, I have an assignment in my behavior in organization class, it's a case study analysis, 6-7 pages.
the case study is : MediSys Corp.: The IntensCare Product Development Team.
we use a book in class called Robbins,Organizational Behavior, 16th edition S. P. & Judge, T. A. (2015).
There will be a Related Reading in Ch. 9 Foundations of Group Behavior,and Ch. 10.Understanding Work Teams.
I will upload an attchment descriping the requirment of the assignment. Thank you
Please let me know if you need more info.
best
.
This document provides an overview of wound healing, its functions, stages, mechanisms, factors affecting it, and complications.
A wound is a break in the integrity of the skin or tissues, which may be associated with disruption of the structure and function.
Healing is the body’s response to injury in an attempt to restore normal structure and functions.
Healing can occur in two ways: Regeneration and Repair
There are 4 phases of wound healing: hemostasis, inflammation, proliferation, and remodeling. This document also describes the mechanism of wound healing. Factors that affect healing include infection, uncontrolled diabetes, poor nutrition, age, anemia, the presence of foreign bodies, etc.
Complications of wound healing like infection, hyperpigmentation of scar, contractures, and keloid formation.
THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...indexPub
The recent surge in pro-Palestine student activism has prompted significant responses from universities, ranging from negotiations and divestment commitments to increased transparency about investments in companies supporting the war on Gaza. This activism has led to the cessation of student encampments but also highlighted the substantial sacrifices made by students, including academic disruptions and personal risks. The primary drivers of these protests are poor university administration, lack of transparency, and inadequate communication between officials and students. This study examines the profound emotional, psychological, and professional impacts on students engaged in pro-Palestine protests, focusing on Generation Z's (Gen-Z) activism dynamics. This paper explores the significant sacrifices made by these students and even the professors supporting the pro-Palestine movement, with a focus on recent global movements. Through an in-depth analysis of printed and electronic media, the study examines the impacts of these sacrifices on the academic and personal lives of those involved. The paper highlights examples from various universities, demonstrating student activism's long-term and short-term effects, including disciplinary actions, social backlash, and career implications. The researchers also explore the broader implications of student sacrifices. The findings reveal that these sacrifices are driven by a profound commitment to justice and human rights, and are influenced by the increasing availability of information, peer interactions, and personal convictions. The study also discusses the broader implications of this activism, comparing it to historical precedents and assessing its potential to influence policy and public opinion. The emotional and psychological toll on student activists is significant, but their sense of purpose and community support mitigates some of these challenges. However, the researchers call for acknowledging the broader Impact of these sacrifices on the future global movement of FreePalestine.
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) CurriculumMJDuyan
(𝐓𝐋𝐄 𝟏𝟎𝟎) (𝐋𝐞𝐬𝐬𝐨𝐧 𝟏)-𝐏𝐫𝐞𝐥𝐢𝐦𝐬
𝐃𝐢𝐬𝐜𝐮𝐬𝐬 𝐭𝐡𝐞 𝐄𝐏𝐏 𝐂𝐮𝐫𝐫𝐢𝐜𝐮𝐥𝐮𝐦 𝐢𝐧 𝐭𝐡𝐞 𝐏𝐡𝐢𝐥𝐢𝐩𝐩𝐢𝐧𝐞𝐬:
- Understand the goals and objectives of the Edukasyong Pantahanan at Pangkabuhayan (EPP) curriculum, recognizing its importance in fostering practical life skills and values among students. Students will also be able to identify the key components and subjects covered, such as agriculture, home economics, industrial arts, and information and communication technology.
𝐄𝐱𝐩𝐥𝐚𝐢𝐧 𝐭𝐡𝐞 𝐍𝐚𝐭𝐮𝐫𝐞 𝐚𝐧𝐝 𝐒𝐜𝐨𝐩𝐞 𝐨𝐟 𝐚𝐧 𝐄𝐧𝐭𝐫𝐞𝐩𝐫𝐞𝐧𝐞𝐮𝐫:
-Define entrepreneurship, distinguishing it from general business activities by emphasizing its focus on innovation, risk-taking, and value creation. Students will describe the characteristics and traits of successful entrepreneurs, including their roles and responsibilities, and discuss the broader economic and social impacts of entrepreneurial activities on both local and global scales.
Cumulative frequency [160 marks]1a.Adam is a beekeeper
1. Cumulative frequency [160 marks]
1a.
Adam is a beekeeper who collected data about monthly honey
production in his bee hives. The data for six of his hives is
shown in the
following table.
The relationship between the variables is modelled by the
regression line with equation .
Write down the value of and of .
P = aN + b
a b
1b. Use this regression line to estimate the monthly honey
production from a hive that has 270 bees.
1c.
Adam has 200 hives in total. He collects data on the monthly
honey production of all the hives. This data is shown in the
following
cumulative frequency graph.
Adam’s hives are labelled as low, regular or high production, as
defined in the following table.
Write down the number of low production hives.
2. 1d.
Adam knows that 128 of his hives have a regular production.
Find the value of ;k
1e. Find the number of hives that have a high production.
1f. Adam decides to increase the number of bees in each low
production hive. Research suggests that there is a probability of
0.75
that a low production hive becomes a regular production hive.
Calculate the probability that 30 low production hives become
regular
production hives.
[3 marks]
[2 marks]
[1 mark]
[3 marks]
[2 marks]
[3 marks]
2a.
A city hired 160 employees to work at a festival. The following
cumulative frequency curve shows the number of hours
employees
3. worked during the festival.
Find the median number of hours worked by the employees.
2b. Write down the number of employees who worked 50 hours
or less.
2c.
The city paid each of the employees £8 per hour for the first 40
hours worked, and £10 per hour for each hour they worked after
the first
40 hours.
Find the amount of money an employee earned for working 40
hours;
2d. Find the amount of money an employee earned for working
43 hours.
2e. Find the number of employees who earned £200 or less.
2f. Only 10 employees earned more than £ . Find the value of .k
k
3a.
Ten students were surveyed about the number of hours, , they
spent browsing the Internet during week 1 of the school year.
The
results of the survey are given below.
Find the mean number of hours spent browsing the Internet.
x
4. 10∑
i=1 xi = 252, σ = 5 and median = 27.
[2 marks]
[1 mark]
[1 mark]
[3 marks]
[3 marks]
[4 marks]
[2 marks]
3b. During week 2, the students worked on a major project and
they each spent an additional five hours browsing the Internet.
For
week 2, write down
(i) the mean;
(ii) the standard deviation.
3c. During week 3 each student spent 5% less time browsing the
Internet than during week 1. For week 3, find
(i) the median;
(ii) the variance.
3d.
5. During week 4, the survey was extended to all 200 students in
the school. The results are shown in the cumulative frequency
graph:
(i) Find the number of students who spent between 25 and 30
hours browsing the Internet.
(ii) Given that 10% of the students spent more than k hours
browsing the Internet, find the maximum value of .k
[2 marks]
[6 marks]
[6 marks]
4a.
A school collects cans for recycling to raise money. Sam’s class
has 20 students.
The number of cans collected by each student in Sam’s class is
shown in the following stem and leaf diagram.
Find the median number of cans collected.
4b.
The following box-and-whisker plot also displays the number of
cans collected by students in Sam’s class.
(i) Write down the value of .
6. (ii) The interquartile range is 14. Find the value of .
a
b
4c. Sam’s class collected 745 cans. They want an average of 40
cans per student.
How many more cans need to be collected to achieve this
target?
4d.
There are 80 students in the school.
The students raise $0.10 for each recycled can.
(i) Find the largest amount raised by a student in Sam’s class.
(ii) The following cumulative frequency curve shows the
amounts in dollars raised by all the students in the school. Find
the percentage of
students in the school who raised more money than anyone in
Sam’s class.
[2 marks]
[3 marks]
[3 marks]
[5 marks]
7. 4e.
The mean number of cans collected is 39.4. The standard
deviation is 18.5.
Each student then collects 2 more cans.
(i) Write down the new mean.
(ii) Write down the new standard deviation.
[2 marks]
5a.
The following cumulative frequency graph shows the monthly
income, dollars, of families.
Find the median monthly income.
I 2000
5b. (i) Write down the number of families who have a
monthly income of dollars or less.
(ii) Find the number of families who have a monthly income
of more than dollars.
2000
4000
5c. The families live in two different types of housing. The
following table gives information about the number of families
8. living in
each type of housing and their monthly income .
Find the value of .
2000
I
p
5d. A family is chosen at random.
(i) Find the probability that this family lives in an apartment.
(ii) Find the probability that this family lives in an
apartment, given that its monthly income is greater than
dollars.4000
5e. Estimate the mean monthly income for families living in a
villa.
[2 marks]
[4 marks]
[2 marks]
[2 marks]
[2 marks]
6a.
The weights in grams of 80 rats are shown in the following
9. cumulative frequency diagram.
Do NOT write solutions on this page.
Write down the median weight of the rats.
6b. Find the percentage of rats that weigh 70 grams or less.
6c. The same data is presented in the following table.
Weights
grams
Frequency
Write down the value of
.
w
0 ⩽ w ⩽ 30
30 < w ⩽ 60
60 < w ⩽ 90
90 < w ⩽ 120
p
45
q
5
p
[1 mark]
10. [3 marks]
[2 marks]
6d. The same data is presented in the following table.
Weights
grams
Frequency
Find the value of
.
w
0 ⩽ w ⩽ 30
30 < w ⩽ 60
60 < w ⩽ 90
90 < w ⩽ 120
p
45
q
5
q
6e. The same data is presented in the following table.
Weights
11. grams
Frequency
Use the values from the table to estimate the mean and standard
deviation of the weights.
w
0 ⩽ w ⩽ 30
30 < w ⩽ 60
60 < w ⩽ 90
90 < w ⩽ 120
p
45
q
5
6f. Assume that the weights of these rats are normally
distributed with the mean and standard deviation estimated in
part (c).
Find the percentage of rats that weigh 70 grams or less.
6g. Assume that the weights of these rats are normally
distributed with the mean and standard deviation estimated in
part (c).
A sample of five rats is chosen at random. Find the probability
that at most three rats weigh 70 grams or less.
[2 marks]
[3 marks]
12. [2 marks]
[3 marks]
7a.
The following is a cumulative frequency diagram for the time t,
in minutes, taken by 80 students to complete a task.
Find the number of students who completed the task in less than
45 minutes.
7b. Find the number of students who took between 35 and 45
minutes to complete the task.
7c. Given that 50 students take less than k minutes to complete
the task, find the value of
.k
8a.
A running club organizes a race to select girls to represent the
club in a competition.
The times taken by the group of girls to complete the race are
shown in the table below.
Find the value of
and of
.
p
13. q
[2 marks]
[3 marks]
[2 marks]
[4 marks]
8b. A girl is chosen at random.
(i) Find the probability that the time she takes is less than
minutes.
(ii) Find the probability that the time she takes is at least
minutes.
14
26
8c. A girl is selected for the competition if she takes less than
minutes to complete the race.
Given that
of the girls are not selected,
(i) find the number of girls who are not selected;
(ii) find
.
x
14. 40%
x
8d. Girls who are not selected, but took less than
minutes to complete the race, are allowed another chance to be
selected. The new times taken by these girls are shown in the
cumulative frequency diagram below.
(i) Write down the number of girls who were allowed another
chance.
(ii) Find the percentage of the whole group who were
selected.
25
[3 marks]
[4 marks]
[4 marks]
9a.
The cumulative frequency curve below represents the marks
obtained by 100 students.
Find the median mark.
9b. Find the interquartile range.
15. 10a.
The cumulative frequency curve below represents the heights of
200 sixteen-year-old boys.
Use the graph to answer the following.
Write down the median value.
10b. A boy is chosen at random. Find the probability that he is
shorter than
.161 cm
[2 marks]
[3 marks]
[1 mark]
[2 marks]
10c. Given that
of the boys are taller than
, find h .
82%
h cm
11a.
A scientist has 100 female fish and 100 male fish. She measures
their lengths to the nearest cm. These are shown in
the following box and whisker diagrams.
16. Find the range of the lengths of all 200 fish.
11b. Four cumulative frequency graphs are shown below.
Which graph is the best representation of the lengths of the
female fish?
12a.
The following table gives the examination grades for 120
students.
Find the value of
(i) p ;
(ii) q .
12b. Find the mean grade.
[3 marks]
[3 marks]
[2 marks]
[4 marks]
[2 marks]
12c. Write down the standard deviation.
13a.
17. A fisherman catches 200 fish to sell. He measures the lengths, l
cm of these fish, and the results are shown in the
frequency table below.
Calculate an estimate for the standard deviation of the lengths
of the fish.
13b. A cumulative frequency diagram is given below for the
lengths of the fish.
Use the graph to answer the following.
(i) Estimate the interquartile range.
(ii) Given that
of the fish have a length more than
, find the value of k.
40%
k cm
13c. In order to sell the fish, the fisherman classifies them as
small, medium or large.
Small fish have a length less than
.
Medium fish have a length greater than or equal to
but less than
.
Large fish have a length greater than or equal to
.
Write down the probability that a fish is small.
18. 20 cm
20 cm
60 cm
60 cm
[1 mark]
[3 marks]
[6 marks]
[2 marks]
13d. The cost of a small fish is
, a medium fish
, and a large fish
.
Copy and complete the following table, which gives a
probability distribution for the cost
.
$4
$10
$12
$X
13e. Find
.E(X)
20. (i) Write down the value of p.
(ii) Find the value of q.
15b. Find the median number of sit-ups.
15c. Find the mean number of sit-ups.
[3 marks]
[2 marks]
[2 marks]
Cumulative frequency [160 marks]
Writing your introduction
AS GP – Research Essay
Purpose
Your introduction has three main purposes:
1) introduce the context of the argument
2) Introduce any key terms or vocabulary needed to understand
the argument.
3) Introduce the scope of the argument
Each of these points can literally be a short paragraph, if that
makes it easier for you.
Context
Here you would provide details with which to understand
“where is this argument coming from?”
The type of information given depends on:
21. The general topic perspective taken (economic, educational,
environmental, social, technological, etc)
The historical factors that may be required
The academic background in which this conversation is taking
place.
Only say what needs to be said. If you don’t know what is
important and you find yourself making stuff up, go back to the
body of the essay and make notes.
Context continued…
Questions to help:
Why is this topic important? What is the impact of various
outcomes?
What important events happened before this discussion became
important?
What discussions are taking place in academic circles or in the
media around this topic?
Remember to double check your topic – keep your answers
relevant to the argument you have created.
Vocabulary
You may have used some key words in your argument that could
be difficult to understand for a non-specialist audience.
This does not include new English words you have learned
while researching.
It should not include words with a dictionary definition.
It does include words that have a particular definition within the
scope of this argument.
It does include key terms that may not be understood by non-
specialists.
You can start, “For this argument to be fully understood, the
following key terms should be explained.”
22. Scope
Tell us what is included in your argument.
Tell us what is not included in your argument.
End with a thesis statement. You can literally rewrite your
original research question as a statement:
“Should students complete teacher evaluation assessments?”
“This essay will explore whether students should complete
teacher evaluation assessments”.
Final notes
AVOID CLICHÉS
If any of you write something like “The discussion of (my
topic) has become a hot topic in recent years”….
…I will break lockdown, swim across the ocean, avoid the
authorities, travel by night, break into your apartment and
throttle you.
Kidding! I love you too much, but I’ll give you -5% for being
boring, and unoriginal, and annoying.
Your entire introduction should be no longer than 250 words.
Next period, I’ll answer any questions you have on Skype.
Send me an introduction by 5pm today if you want feedback.
Writing your conclusions
AS GP – Research Essay
Purpose
The conclusions have four main purposes:
1) Summarise the key points of your argument
23. 2) Restate the judgement you have reached
3) Think about the implications of implementation /
recommendations
4) Consider further research needed
These points can literally be covered in 3 short paragraphs, if
that makes it easier for you.
Summary + Judgement
Your summaries should be no more than 3-4 sentences.
“We have considered (these perspectives). We have found that
…. (This perspective) is considerably stronger because …”
Make sure your summary sentences are clear grammatically.
Often in your summaries, your sentences become quite long,
and the compound constructions become a little blurry because
of the grammar. It is better to keep your sentences simple, than
to overburden the grammar with complex thoughts.
Remember – a summary is a distillation of what has already
been said. These are the lasting thoughts you want your reader
to leave with, and they should be simple enough to remember.
Summary + Judgement continued…
Take a minute to look at the judgement you have written.
Make sure it is clear and concise. Think about adding
“persuasion” to the statement. You can do this in much the
same way as you did with empathy:
Word choices
A simple phrase, “It is easy to be persuaded by such a
perspective when you consider …”
Consider returning to your Perspective 3 and weaving some
“persuasion” into this part as well. Do not repeat the same
grammatical structures!!!
24. Implications of implementation/ recommendations
Think about the ways in which your chosen perspective would
need to be implemented.
If there are some negative sides or difficulties that might arise
because of the perspective, think about ways to mitigate
(prevent) these things from happening. You do not have to go
into great detail here, but make general suggestions. They
could be explored in the “further research” part.
Further research
Considerations for further research largely stem from:
Impact of the chosen perspective
Implications for implementation
Again, please avoid clichés!
Your conclusions should be no more than 250 words.
In second period today, we will go through this together on
Skype and discuss any questions you might have.
Email me a paragraph today if you want feedback.
descriptive statistics [219 marks]
1a.
The following box-and-whisker plot shows the number of text
messages sent by students in a school on a particular day.
Find the value of the interquartile range.
25. 1b. One student sent k text messages, where k > 11 . Given that
k is an outlier, find the least value of k.
2a.
A data set has n items. The sum of the items is 800 and the
mean is 20.
Find n.
2b.
The standard deviation of this data set is 3. Each value in the
set is multiplied by 10.
Write down the value of the new mean.
2c. Find the value of the new variance.
[2 marks]
[4 marks]
[2 marks]
[1 mark]
[3 marks]
3a.
A city hired 160 employees to work at a festival. The following
cumulative frequency curve shows the number of hours
26. employees
worked during the festival.
Find the median number of hours worked by the employees.
3b. Write down the number of employees who worked 50 hours
or less.
3c.
The city paid each of the employees £8 per hour for the first 40
hours worked, and £10 per hour for each hour they worked after
the first
40 hours.
Find the amount of money an employee earned for working 40
hours;
3d. Find the amount of money an employee earned for working
43 hours.
3e. Find the number of employees who earned £200 or less.
3f. Only 10 employees earned more than £ . Find the value of .k
k
[2 marks]
[1 mark]
[1 mark]
[3 marks]
[3 marks]
27. [4 marks]
4a.
Consider the following frequency table.
Write down the mode.
4b. Find the value of the range.
4c. Find the mean.
4d. Find the variance.
5a.
Ten students were surveyed about the number of hours, , they
spent browsing the Internet during week 1 of the school year.
The
results of the survey are given below.
Find the mean number of hours spent browsing the Internet.
x
10∑
i=1 xi = 252, σ = 5 and median = 27.
5b. During week 2, the students worked on a major project and
they each spent an additional five hours browsing the Internet.
For
week 2, write down
(i) the mean;
28. (ii) the standard deviation.
5c. During week 3 each student spent 5% less time browsing the
Internet than during week 1. For week 3, find
(i) the median;
(ii) the variance.
[1 mark]
[2 marks]
[2 marks]
[2 marks]
[2 marks]
[2 marks]
[6 marks]
5d.
During week 4, the survey was extended to all 200 students in
the school. The results are shown in the cumulative frequency
graph:
(i) Find the number of students who spent between 25 and 30
hours browsing the Internet.
(ii) Given that 10% of the students spent more than k hours
29. browsing the Internet, find the maximum value of .k
6a.
A school collects cans for recycling to raise money. Sam’s class
has 20 students.
The number of cans collected by each student in Sam’s class is
shown in the following stem and leaf diagram.
Find the median number of cans collected.
6b.
The following box-and-whisker plot also displays the number of
cans collected by students in Sam’s class.
(i) Write down the value of .
(ii) The interquartile range is 14. Find the value of .
a
b
[6 marks]
[2 marks]
[3 marks]
6c. Sam’s class collected 745 cans. They want an average of 40
cans per student.
30. How many more cans need to be collected to achieve this
target?
6d.
There are 80 students in the school.
The students raise $0.10 for each recycled can.
(i) Find the largest amount raised by a student in Sam’s class.
(ii) The following cumulative frequency curve shows the
amounts in dollars raised by all the students in the school. Find
the percentage of
students in the school who raised more money than anyone in
Sam’s class.
[3 marks]
[5 marks]
6e.
The mean number of cans collected is 39.4. The standard
deviation is 18.5.
Each student then collects 2 more cans.
(i) Write down the new mean.
(ii) Write down the new standard deviation.
7a.
31. There are 10 items in a data set. The sum of the items is 60.
Find the mean.
7b.
The variance of this data set is 3. Each value in the set is
multiplied by 4.
(i) Write down the value of the new mean.
(ii) Find the value of the new variance.
8a.
Let .
For the graph of f:
(i) write down the -intercept;
(ii) find the -intercept;
(iii) write down the equation of the horizontal asymptote.
f(x) = e0.5x − 2
y
x
[2 marks]
[2 marks]
[3 marks]
32. [4 marks]
8b. On the following grid, sketch the graph of , for
.
f
−4 ⩽ x ⩽ 4
9a.
The following box-and-whisker plot represents the examination
scores of a group of students.
Write down the median score.
The range of the scores is 47 marks, and the interquartile range
is 22 marks.
9b. Find the value of
(i) ;
(ii) .
c
d
[3 marks]
[1 mark]
33. [4 marks]
10a.
The following cumulative frequency graph shows the monthly
income, dollars, of families.
Find the median monthly income.
I 2000
10b. (i) Write down the number of families who have a
monthly income of dollars or less.
(ii) Find the number of families who have a monthly income
of more than dollars.
2000
4000
10c. The families live in two different types of housing. The
following table gives information about the number of families
living in
each type of housing and their monthly income .
Find the value of .
2000
I
p
10d. A family is chosen at random.
34. (i) Find the probability that this family lives in an apartment.
(ii) Find the probability that this family lives in an
apartment, given that its monthly income is greater than
dollars.4000
10e. Estimate the mean monthly income for families living in a
villa.
[2 marks]
[4 marks]
[2 marks]
[2 marks]
[2 marks]
11a.
The weights in grams of 80 rats are shown in the following
cumulative frequency diagram.
Do NOT write solutions on this page.
Write down the median weight of the rats.
11b. Find the percentage of rats that weigh 70 grams or less.
11c. The same data is presented in the following table.
35. Weights
grams
Frequency
Write down the value of
.
w
0 ⩽ w ⩽ 30
30 < w ⩽ 60
60 < w ⩽ 90
90 < w ⩽ 120
p
45
q
5
p
[1 mark]
[3 marks]
[2 marks]
11d. The same data is presented in the following table.
Weights
grams
36. Frequency
Find the value of
.
w
0 ⩽ w ⩽ 30
30 < w ⩽ 60
60 < w ⩽ 90
90 < w ⩽ 120
p
45
q
5
q
11e. The same data is presented in the following table.
Weights
grams
Frequency
Use the values from the table to estimate the mean and standard
deviation of the weights.
w
0 ⩽ w ⩽ 30
30 < w ⩽ 60
37. 60 < w ⩽ 90
90 < w ⩽ 120
p
45
q
5
11f. Assume that the weights of these rats are normally
distributed with the mean and standard deviation estimated in
part (c).
Find the percentage of rats that weigh 70 grams or less.
11g. Assume that the weights of these rats are normally
distributed with the mean and standard deviation estimated in
part (c).
A sample of five rats is chosen at random. Find the probability
that at most three rats weigh 70 grams or less.
12a.
Consider the following cumulative frequency table.
Find the value of
.p
12b. Find
(i) the mean;
(ii) the variance.
13. A random variable
38. is normally distributed with
and
.
Find the interquartile range of
.
X
μ = 150
σ = 10
X
[2 marks]
[3 marks]
[2 marks]
[3 marks]
[2 marks]
[4 marks]
[7 marks]
14a.
The weekly wages (in dollars) of 80 employees are displayed in
the cumulative frequency curve below.
39. (i) Write down the median weekly wage.
(ii) Find the interquartile range of the weekly wages.
14b. The box-and-whisker plot below displays the weekly wages
of the employees.
Write down the value of
(i)
;
(ii)
;
(iii)
.
a
b
c
14c. Employees are paid
per hour.
Find the median number of hours worked per week.
$ 20
[4 marks]
[3 marks]
[3 marks]
40. 14d. Employees are paid
per hour.
Find the number of employees who work more than
hours per week.
$20
25
15a.
The cumulative frequency curve below represents the marks
obtained by 100 students.
Find the median mark.
15b. Find the interquartile range.
[5 marks]
[2 marks]
[3 marks]
16a.
The histogram below shows the time T seconds taken by 93
children to solve a puzzle.
The following is the frequency distribution for T .
41. (i) Write down the value of p and of q .
(ii) Write down the median class.
16b. A child is selected at random. Find the probability that the
child takes less than 95 seconds to solve the puzzle.
16c. Consider the class interval
.
(i) Write down the interval width.
(ii) Write down the mid-interval value.
45 ≤ T < 55
16d. Hence find an estimate for the
(i) mean;
(ii) standard deviation.
16e. John assumes that T is normally distributed and uses this to
estimate the probability that a child takes less than 95 seconds
to
solve the puzzle.
Find John’s estimate.
[3 marks]
[2 marks]
42. [2 marks]
[4 marks]
[2 marks]
17a.
A scientist has 100 female fish and 100 male fish. She measures
their lengths to the nearest cm. These are shown in
the following box and whisker diagrams.
Find the range of the lengths of all 200 fish.
17b. Four cumulative frequency graphs are shown below.
Which graph is the best representation of the lengths of the
female fish?
18a.
A standard die is rolled 36 times. The results are shown in the
following table.
Write down the standard deviation.
18b. Write down the median score.
18c. Find the interquartile range.
19a.
The following frequency distribution of marks has mean 4.5.
43. Find the value of x.
19b. Write down the standard deviation.
[3 marks]
[2 marks]
[2 marks]
[1 mark]
[3 marks]
[4 marks]
[2 marks]
20a.
The following table gives the examination grades for 120
students.
Find the value of
(i) p ;
(ii) q .
20b. Find the mean grade.
20c. Write down the standard deviation.
21a.
44. A fisherman catches 200 fish to sell. He measures the lengths, l
cm of these fish, and the results are shown in the
frequency table below.
Calculate an estimate for the standard deviation of the lengths
of the fish.
[4 marks]
[2 marks]
[1 mark]
[3 marks]
21b. A cumulative frequency diagram is given below for the
lengths of the fish.
Use the graph to answer the following.
(i) Estimate the interquartile range.
(ii) Given that
of the fish have a length more than
, find the value of k.
40%
k cm
21c. In order to sell the fish, the fisherman classifies them as
small, medium or large.
45. Small fish have a length less than
.
Medium fish have a length greater than or equal to
but less than
.
Large fish have a length greater than or equal to
.
Write down the probability that a fish is small.
20 cm
20 cm
60 cm
60 cm
21d. The cost of a small fish is
, a medium fish
, and a large fish
.
Copy and complete the following table, which gives a
probability distribution for the cost
.
$4
$10
$12
$X
21e. Find
46. .E(X)
[6 marks]
[2 marks]
[2 marks]
[2 marks]
22a.
The following diagram is a box and whisker plot for a set of
data.
The interquartile range is 20 and the range is 40.
Write down the median value.
22b. Find the value of
(i)
;
(ii)
.
a
b
23a.
The following is a cumulative frequency diagram for the time t,
48. (i) the median;
(ii) the interquartile range.
25a.
In a school with 125 girls, each student is tested to see how
many sit-up exercises (sit-ups) she can do in one minute.
The results are given in the table below.
(i) Write down the value of p.
(ii) Find the value of q.
25b. Find the median number of sit-ups.
25c. Find the mean number of sit-ups.
[2 marks]
[5 marks]
[3 marks]
[2 marks]
[2 marks]
descriptive statistics [219 marks]