1.5 Complementary and Supplementary Angles Dee Black
Some slides lifted from: http://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=4&ved=0CEsQFjAD&url=http%3A%2F%2Fdionmath.wikispaces.com%2Ffile%2Fview%2F2.3%2BComplementary%2Band%2BSuppl.%2BAngles.ppt&ei=_wVFUbzHCa-o4AP9ooGwBQ&usg=AFQjCNF-KDyDx_yiVaUuMJMdM6yOJqHASQ&sig2=wH2TZ9xGxsHgtc4cCnn2QQ&bvm=bv.43828540,d.dmg&cad=rja
6.EE.A.1 Write and evaluate numerical expressions involving whole-number exponents.
Objective: Students will understand that the order of operations can be used to evaluate numerical expressions.
Key words
numerical expression
order of operations
Investigate how to find the gradient of a line given two coordinates
Starter questions on first slide of PowerPoint.
Go through the lesson objective and outcomes with the class then ask students to complete the worksheet plotting coordinates. Tell the class they have 2-3 minutes to do this. The task is to recap on plotting coordinates and iron out any misconceptions. Ask pupils to have a think about what is the same and what is different about these triangles. Ask which quadrant each triangle is in and if any lines are parallel or perpendicular. Ask pupils to show how many triangles they drew correctly by number of fingers.
10-15 mins - Go through slides 9-12 explaining gradient then pupils do the question shown on slide 13 (mini-whiteboards). Give out worksheets while pupils are doing this so they can move onto that when they finish question on the board. Pupils swap papers and mark. Ask for hands up who got one/two/three/four/five answers correct. Ask pupils what is the same and what is different about these lines emphasising negative/positive gradient. Extension worksheets prepared for anyone that finishes.
10-15 mins – Go through slides 16-17 then ask pupils to do the next two questions on laminated grid (whiteboard).
1.5 Complementary and Supplementary Angles Dee Black
Some slides lifted from: http://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=4&ved=0CEsQFjAD&url=http%3A%2F%2Fdionmath.wikispaces.com%2Ffile%2Fview%2F2.3%2BComplementary%2Band%2BSuppl.%2BAngles.ppt&ei=_wVFUbzHCa-o4AP9ooGwBQ&usg=AFQjCNF-KDyDx_yiVaUuMJMdM6yOJqHASQ&sig2=wH2TZ9xGxsHgtc4cCnn2QQ&bvm=bv.43828540,d.dmg&cad=rja
6.EE.A.1 Write and evaluate numerical expressions involving whole-number exponents.
Objective: Students will understand that the order of operations can be used to evaluate numerical expressions.
Key words
numerical expression
order of operations
Investigate how to find the gradient of a line given two coordinates
Starter questions on first slide of PowerPoint.
Go through the lesson objective and outcomes with the class then ask students to complete the worksheet plotting coordinates. Tell the class they have 2-3 minutes to do this. The task is to recap on plotting coordinates and iron out any misconceptions. Ask pupils to have a think about what is the same and what is different about these triangles. Ask which quadrant each triangle is in and if any lines are parallel or perpendicular. Ask pupils to show how many triangles they drew correctly by number of fingers.
10-15 mins - Go through slides 9-12 explaining gradient then pupils do the question shown on slide 13 (mini-whiteboards). Give out worksheets while pupils are doing this so they can move onto that when they finish question on the board. Pupils swap papers and mark. Ask for hands up who got one/two/three/four/five answers correct. Ask pupils what is the same and what is different about these lines emphasising negative/positive gradient. Extension worksheets prepared for anyone that finishes.
10-15 mins – Go through slides 16-17 then ask pupils to do the next two questions on laminated grid (whiteboard).
Exercise 7-1 Q # 10 Number of faculty. the numbers of faculty .docxgitagrimston
Exercise 7-1
Q # 10
Number of faculty. the numbers of faculty at 32 randomly selected state-controlled colleges and universities with enrollment under 12,000 students are shown below. use these data to estimate the mean number of faculty at all state-controlled colleges and universities with enrollment under 12,000 with 92% confidence. assume .
211
384
396
211
224
337
395
121
356
621
367
408
515
280
289
180
431
176
318
836
203
374
224
121
412
134
539
471
638
425
159
324
Q # 14
Number of jobs. a sociologist found that in a sample of 50 retired men, the average number of jobs they had during their lifetimes was 7.2. the population standard deviation is 2.1.
a. find the best point to estimate of the population men.
b.find the 95 % confidence interval of the mean number of jobs.
c.find the 99% confidence interval of the mean number of jobs.
d. which is smaller? explain why.
Q # 18
Day care tuition. a random sample of 50 four-year-olds attending day care centers provided a yearly tuition average of $3987 and the population standard deviation of $630. find the 90% confidence interval of the true mean. if a day care center were starting up and wanted to keep tuition low. what would be a reasonable amount to charge?
Exercise 7-2
Q # 8
State Gasoline Taxes. a random sample of state gasoline taxes ( in cents ) is shown here for 12 states. use the data to estimate the true population mean gasoline tax with 90% confidence. does your interval contain the national average of 44.7 cents?
38.4
40.9
67
32.5
51.5
43.4
38
43.4
50.7
35.4
39.3
41.4
Q # 10
Dance Company Students. the number of students who belong to dance company at each of several randomly selected small universities is shown below. estimate the true population mean size of a university dance company with 99% confidence.
21
25
32
22
28
30
29
30
47
26
35
26
35
26
28
28
32
27
40
Exercise 7-3
Q # 6
Belief in haunted places. a random sample of 205 college students were asked if they believed that places could be haunted, and 65 responded yes. estimate the true proportion of college students who believed in the possibility of haunted places with 99% confidence. according to time magazine,37% of americans believe that places can be haunted.
Q # 14
Fighting U.S hunger. in a poll of 1000 likely voters, 560 say that the united states spends too little on fighting hunger at home. find a 95% confidence interval for the true proportion of voters who feel this way.
Exercise 8-2
Q # 4
Moviegoers. the average moviegoer sees 8.5 movies a year. a moviegoer is defined as a person who sees at least one movie in a theater in a 12 month period. a random sample of 40 moviegoers from a large university revealed that the average number of movies seen per person was 9.6. The population standard deviation is 3.2 movies. at the 0.05 level of significance, can it be concluded that this represents a difference from the national average?
Q # 8
Salaries of government employees. the mean salary o ...
Exam 2 (covers Chapters 6 and 7), Math 140 Spring 2015,.docxMARRY7
Exam 2 (covers Chapters 6 and 7), Math 140
Spring 2015, CSUN
Show All Work! Name:___________________________
Seat number:________________________
P a p e r s w i t h o u t n a m e / s e a t n u m b e r w o u l d l o s e 1 0 p o i n t s . Write your name and seat number now.
For full credit, draw a sketch for each problem put all information on the graph.
Problems 1 and 2 each 10 points, problem 3 has 15 points, problems 4-8 each 13 points.
1. Assume that weights of men are normally distributed with a mean of 172 lb and a standard deviation of 29
lb. Find the probability that if an individual man is randomly selected, his weight will be greater than 180
lb.
2. Birth weights in Los Angeles are normally distributed with a mean of 3400 grams and a standard deviation
of 450 grams. If a hospital plans to set up special observation conditions for the lightest 4% of the babies,
what weight is used to separating the lightest 4% from the others?
2
3. An airline jet has doors with a height of 70 inches. Heights of men are normally distributed with a mean of
69.0 inches and a standard deviation of 2.8 inches.
a. If a male passenger is randomly selected, find the probability that he can fit through the doorways
without bending.
b. Find the probability that the mean height of the 28 men passengers is less than 70 inches.
3
4. In a study, 414 randomly selected CSUN students were asked whether they are willing to take a class at
7:00AM, 45% of them said that they are in favor. Find a 99% confidence interval estimate of the
percentage of CSUN students who are in favor of having a class starting at 7:00AM. Can we safely
conclude that the majority of CSUN students are in favor of having a starting at 7:00AM? Explain why or
why not?
4
5. How many randomly selected students at CSUN must be surveyed to estimate the percentage of CSUNers
who have a cellphone? Assume that we want to be 99% confident that the sample percentage is within two
points of the true population percentage. Also, assume that it is estimated that 77% of students at CSUN
have a cellphone
5
6. In a survey at CSUN, a simple random sample of 41 students has a mean family income $49,000.
Assuming that population standard deviation is known to be $12,500, find a 95% confidence interval
estimate of the mean family income of all CSUN students.
6
7. Assume that heights of students taking statistics are normally distributed. Listed below are the heights of
10 students from our Math 140 class that are selected randomly. Construct a 99% confidence interval
estimate of mean of heights for all statistics’ students at CSUN. 63, 70, 64, 67, 62, 65, 64, 61, 69, 74.
Explain the confidence interval in words.
7
8. The listed v ...
Stat 230 Summer 2014 – Final Exam Page 1 .docxdessiechisomjj4
Stat 230 Summer 2014 – Final Exam
Page 1
Please answer all 30 questions. Make sure your answers are as complete as
possible. Show all of your work and reasoning. In particular, when there are
calculations involved, you must show how you come up with your answers
with critical work and/or necessary tables. Answers that come straight from
program software packages will not be accepted.
You must include the Honor Pledge on the title page of your
submitted final exam. Exam submitted without the Honor
Pledge will not be accepted.
Honor Pledge: "I have completed this final examination myself, working independently
and not consulting anyone except the instructor. I have neither given nor received help on this
final examination."
Use the information below to answer Questions 1 through 3.
Given a sample size of 34, with sample mean 660.3 and sample standard deviation 104.9, we
perform the following hypothesis test. Since n>30, this is a Z test.
Null Hypothesis 0 : 700H
Alternative Hypothesis : 700aH
1. What is the test statistic? What is the p-value?
2. At a 5% significance level (95% confidence level), what is the critical value(s) in this
test? Do we reject the null hypothesis?
3. What are the border values of x between acceptance and rejection of this hypothesis?
Stat 230 Summer 2014 – Final Exam
Page 2
Questions 4 through 7 involve rolling of dice.
4. Given a fair, six-sided die, what is the probability of rolling the die twice and getting a
“1” each time?
5. What is the probability of getting a “1” on the second roll when you get a “1” on the first
roll?
6. The House managed to load the die in such a way that the faces “2” and “4” show up
twice as frequently as all other faces. Meanwhile, all the other faces still show up with
equal frequency. What is the probability of getting a “5” when rolling this loaded die?
7. Write the probability distribution for this loaded die, showing each outcome and its
probability.
Use the data in the table to answer Questions 8 through 9.
x 3 1 4 4 5
y 2 -2 5 4 8
8. Determine SSxx, SSxy, and SSyy.
9. Find the equation of the regression line. What is the predicted value when 4?x
Stat 230 Summer 2014 – Final Exam
Page 3
Use the data below to answer Questions 10 through 12.
A group of students from three universities were asked to pick their favorite college sport
to attend of their choice: The results, in number of students, are listed as follows:
Football Basketball Soccer
Maryland 60 70 20
Duke 10 75 15
UCLA 35 65 25
Supposed that a student is randomly selected from the group mentioned above.
10. What is the probability that the student is from UCLA or chooses football?
11. What is the probability that the student is from Duke, given that the student chooses
basketball?
12. What is the probability that the .
Suppose you are interested in selecting a group of six households Experience...pinck336896
FOR MORE CLASSES VISIT
www.tutorialoutlet.com
1. Suppose that in a large metropolitan area, 82% of all households have cable tv. Suppose you are interested in selecting a group of six households from this area. Let X be the number of
households in a group of six households from this area that have cable tv. For what proportion of
groups will at most three of the households have cable tv?
Kines 260 Take Home FinalNameDue Friday December 12th at 11 A.docxDIPESH30
Kines 260 Take Home Final
Name:
Due Friday December 12th at 11 A.M. in my mailbox
152 pts total
For Questions 1-2 use the 7 step process to answer. Refer to slides if you are unsure of the 7 step process. PLEASE DON’T OMIT ANY PART OF THE PROCESS!!! (40 pts) THIS IS DONE IN SPSS USING BREAST CANCER AND OBESITY DATASET
Dataset Background – PLEASE READ:
Obesity is very common in American society and is a risk factor for breast cancer for postmenopausal women. One mechanism explaining why obesity is a risk factor is that it may raise estrogen levels in women. In particular, one type of estrogen, serum estradiol, is a strong risk factor for breast cancer. To better assess this relationship, researchers studied a group of 200 postmenopausal women. The SPSS file is entitled, Breast Cancer and Obesity.
Adiposity was measured in two different ways: (a) by body mass index (BMI) = weight (kg) / height (m2) and also (b) by waist-hip ratio (WHR) = waist circumference/hip circumference. BMI is a measure of overall adiposity, whereas WHR is a measure of abdominal adiposity. In addition, a complete hormonal profile was obtained, including serum estradiol. Finally, other breast-cancer risk factors were also assessed among these women, including ethnicity, parity, age at first birth, and age at menarche.
Codebook
Variable
Column
Code
Label
Values (if categorical)
Id
1
Identification number
ES_1
2
Serum Estradiol
ETHNIC
3
Ethnicity
1 = African-American, 0 = Caucasian
NUMCHILD
4
Parity, number of children
AGEFBO
5
Age at 1st birth
(missing a response if never had a child)
ANYKIDS
6
Gave birth to any children?
1 = Yes, 0 = No
AGEMENAR
7
Age at menarche
BMI
8
Body Mass Index
WHR
9
Waist-hip ratio
**Missing responses are left blank
ALSO THE FOLLOWING CONTINUOUS VARIABLES HAVE BEEN CATEGORIZED!!
· BMI has been categorized, bmi_cat, : normal BMI (<25) and abnormal BMI (25 or greater).
· Menarche has been categorized, menarche_cat, two categories - 9-12 and 13-16
· WHR has also been categorized, whr_category, 3 categories - 0-.69, .7-.79, and .8 and greater
1. Is there a statistically significant difference in mean estradiol between African Americans and Caucasions?
a. Provide a visual aid depicting the mean differences between the two groups.
2. Is there a statistically significant difference in mean estradiol between ethnicity status depending on BMI_CAT (using the categorized variable, so normal or abnormal groups)?
3. Please use the rock climbing performance dataset. Here is the description: This is research done by a senior at PSU-Berks. He was interested in determining the effects of imagery on rock climbing performance. He chose 20 experienced rock climbers. With randomization on the order, he had them climb with no imagery on a rock wall and then had them climb with imagery (on a different but same difficulty ...
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
The Art Pastor's Guide to Sabbath | Steve ThomasonSteve Thomason
What is the purpose of the Sabbath Law in the Torah. It is interesting to compare how the context of the law shifts from Exodus to Deuteronomy. Who gets to rest, and why?
The Indian economy is classified into different sectors to simplify the analysis and understanding of economic activities. For Class 10, it's essential to grasp the sectors of the Indian economy, understand their characteristics, and recognize their importance. This guide will provide detailed notes on the Sectors of the Indian Economy Class 10, using specific long-tail keywords to enhance comprehension.
For more information, visit-www.vavaclasses.com
We all have good and bad thoughts from time to time and situation to situation. We are bombarded daily with spiraling thoughts(both negative and positive) creating all-consuming feel , making us difficult to manage with associated suffering. Good thoughts are like our Mob Signal (Positive thought) amidst noise(negative thought) in the atmosphere. Negative thoughts like noise outweigh positive thoughts. These thoughts often create unwanted confusion, trouble, stress and frustration in our mind as well as chaos in our physical world. Negative thoughts are also known as “distorted thinking”.
How to Split Bills in the Odoo 17 POS ModuleCeline George
Bills have a main role in point of sale procedure. It will help to track sales, handling payments and giving receipts to customers. Bill splitting also has an important role in POS. For example, If some friends come together for dinner and if they want to divide the bill then it is possible by POS bill splitting. This slide will show how to split bills in odoo 17 POS.
This is a presentation by Dada Robert in a Your Skill Boost masterclass organised by the Excellence Foundation for South Sudan (EFSS) on Saturday, the 25th and Sunday, the 26th of May 2024.
He discussed the concept of quality improvement, emphasizing its applicability to various aspects of life, including personal, project, and program improvements. He defined quality as doing the right thing at the right time in the right way to achieve the best possible results and discussed the concept of the "gap" between what we know and what we do, and how this gap represents the areas we need to improve. He explained the scientific approach to quality improvement, which involves systematic performance analysis, testing and learning, and implementing change ideas. He also highlighted the importance of client focus and a team approach to quality improvement.
Instructions for Submissions thorugh G- Classroom.pptxJheel Barad
This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
Ethnobotany and Ethnopharmacology:
Ethnobotany in herbal drug evaluation,
Impact of Ethnobotany in traditional medicine,
New development in herbals,
Bio-prospecting tools for drug discovery,
Role of Ethnopharmacology in drug evaluation,
Reverse Pharmacology.
3. Review:
Walk Bus Other Total
Boys 20 10 25 55
Girls 16 12 17 45
Total 36 22 42 100
4. Review:
Walk Bus Other Total
Boys 20 10 25 55
Girls 16 12 17 45
Total 36 22 42 100
What percentage of students walk to
school?
푡표푡푎푙 푠푡푢푑푒푛푡푠 푤ℎ표 푤푎푙푘
푡표푡푎푙 푠푡푢푑푒푛푡푠
=
36
100
= .36 = 36%
5. OFrequency is the number of times an
event occurs.
OThe frequency of students who walk
to school = 36%
OWe will have different frequencies for
different data pairs
OEx: Boys who ride the bus, girls who
walk.
6. OThe frequency of something can
help us make predictions or
conclusions.
Pizza Chicken
Nuggets
Burrito Total
7th 15 30 95 140
8th 85 17 58 160
Total 100 47 153 300
The cafeteria staff wants to know the most
popular dish. What conclusions can be made?
7. Pizza Chicken
Nuggets
Burrito Total
7th 15 30 95 140
8th 85 17 58 160
Total 100 47 153 300
The most popular dish in 7th grade is: __________________
The most popular dish in 8th grade is: __________________
The most popular dish for both grades is: _______________
8. Pizza Chicken
Nuggets
Burrito Total
7th 15 30 95 140
8th 85 17 58 160
Total 100 47 153 300
The most popular dish in 7th grade is: BURRITO
The most popular dish in 8th grade is: PIZZA
The most popular dish for both grades is: BURRITO
9. Valid Conclusions
OA valid conclusion or prediction
relies on DATA
Before: The most popular dish for both grades is a burrito.
After: The most popular dish for both grades is a burrito because
153 out of 300 students (51%) chose this option.
10. Two-Way Tables & Association
ORemember: Association is a relationship.
OData sets are associated if because of
one thing, something else is always true.
OFor example, if grade and favorite lunch
choice were associated, all 8th graders
would have the same favorite.
11. Your Turn
OLet your teacher know that you
have completed the activity.
Editor's Notes
Animations = arrows (L-R, U-D)
Numbers in red are the numbers we would find using addition and subtraction.
Finding out information from the TWT – what percentage of students walk to school? Review – percentages are a part of the whole. So, we take the part we are looking for (animation) and divide it by the whole (in this case, the total number of students).
Pause. Take a minute to answer the questions, either in your head or on paper.
