Jawaban 1
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This document contains mathematical proofs and solutions to problems involving properties of numbers, areas of shapes, and probabilities. It proves that the square root of any non-zero real number is also non-zero. It calculates the probability of selecting a number from 1 to 1000 that is divisible by 3 or 5. It also proves that two orange shapes have the same area.
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The document contains 22 math word problems. The problems cover a variety of topics including fractions, ratios, percentages, geometry, probability, and algebra. They range in complexity from simple calculations to multi-step problems. The answers provided are numerical values, algebraic expressions, or ratios expressed as common fractions.
File ...handouts complete
The document provides examples for calculating squares of numbers nearest to certain values like 50, 100, 200, 300, 400, 1000, 1100 using a basic calculation method. It involves taking the base as the number rounded to the nearest value and comparing it to the given value. The difference is divided by the square of the difference and added to the base number to get the square. It also provides examples for squares ending with 5, examples where the unit digit sum is 10, methods to find square roots and cube roots. The document further discusses number systems, divisibility rules, number of divisors, recurring decimals to fractions conversion, remainder theorem and alligation.
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This document summarizes solutions to odd-numbered homework problems from Chapter 4 of a statistics textbook. It covers topics like discrete vs. continuous random variables, probability distributions, the normal and binomial distributions, and how to calculate probabilities using the z-table. Examples include determining the type of random variable, finding probabilities of intervals for different distributions, and approximating binomial probabilities with the normal distribution for large n.
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The document contains information about SAT exams, scoring, and target scores for students at ATHS. It provides 10 tips for scoring higher on the SAT and states that the minimum number of correct answers needed in each section to reach the target score is 10 questions. It also includes a sample SAT worksheet with 20 multiple choice questions testing various math and reasoning skills.
Schl2008
This document contains 60 math questions from a school competition countdown round. The questions cover a variety of math topics including percentages, probability, geometry, number properties, and algebra. They range in difficulty from basic calculations to multi-step word problems.
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1. The document provides instructions for candidates taking an exam. It details things like checking the question booklet for errors, filling out personal information on the answer sheet, how to indicate answers, exam policies, and providing work space.
2. Candidates are instructed to write their personal information on the answer sheet using a blue or black ballpoint pen. They are provided with a separate answer sheet and told to only mark answers on this sheet.
3. The exam contains 150 multiple choice questions to be completed in 2.5 hours. Candidates are told to attempt as many questions as possible and that marks will be deducted for incorrect answers and questions left unattempted will receive zero marks.
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This document provides an overview of key concepts in probability and probability distributions. It introduces random variables and their probability distributions, and covers discrete and continuous random variables. Specific probability distributions discussed include the binomial, Poisson, and normal distributions. Expected value and variance are defined as measures of the central tendency and variability of random variables. Examples are provided to illustrate calculating probabilities and parameters for different probability distributions.
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The document discusses the existence of weak solutions to the incompressible Navier-Stokes equations. It first presents the weak formulation of the equations, where a weak solution is defined as a function that satisfies the Navier-Stokes equation in an integral sense when tested against smooth, divergence-free functions. It then outlines the Galerkin method that will be used to construct approximate solutions and prove the existence of at least one weak solution, which is weakly continuous in time and satisfies an energy inequality. Specifically, the method involves expanding the solution in terms of an orthonormal basis of divergence-free eigenfunctions and obtaining a system of ODEs for the expansion coefficients, whose solution exists while their norm remains bounded.
State2009
The document contains 75 math word problems and their answers. It appears to be from a math competition with questions ranging in difficulty from basic arithmetic to more complex algebra and probability questions. Many questions involve multi-step word problems involving variables, equations, ratios, percentages and geometric shapes.
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This document discusses binomial coefficients and their applications. It provides examples of using binomial coefficients to expand polynomial expressions like (x+y)n and calculate coefficients. Pascal's identity and triangle are also covered, with proofs that the binomial coefficients satisfy C(n+1,k)=C(n,k-1)+C(n,k).
Internship exam round1
The document contains 24 math and logic problems with numerical answers. It tests skills such as number patterns, probability, combinatorics, algorithms and data structures. The maximum time complexity of an algorithm described is O(n*k) where k is the number of bits to represent n. The minimum number of scalar multiplications needed for the matrix multiplication problem is 38.
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International Journal of Mathematics and Statistics Invention (IJMSI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJMSI publishes research articles and reviews within the whole field Mathematics and Statistics, new teaching methods, assessment, validation and the impact of new technologies and it will continue to provide information on the latest trends and developments in this ever-expanding subject. The publications of papers are selected through double peer reviewed to ensure originality, relevance, and readability. The articles published in our journal can be accessed online.
Squares & square roots - class 8th
It is a school project on mathematics chapter of class 8th in which every thing is explained briefly. Made by - Sana Rajar
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The International Securities Identification Number (ISIN) code provides a unique identification for securities. It is composed of 12 alphanumeric characters broken into sections that identify the country of issuance, security type, and check digit. The first two characters identify the country. The next nine characters provide information on the issuer and security type. The final character is a check digit calculated using the preceding characters to validate the number. The ISIN allows unambiguous identification of any traded security globally.
Maths formula by viveksingh698@gmail.com
The document outlines 9 multiplication shortcuts or tricks using properties of numbers. These include multiplying numbers by 11 by adding the digits, squaring numbers ending in 9 by placing 9s and appending other digits, squaring numbers ending in 5 by omitting the 5 and multiplying the remaining number by the next higher number and appending 25, and multiplying numbers where the ones digits sum to 10 by multiplying the tens and ones places separately and placing the products successively.
square and square root class8.pptx
The document discusses various properties of squares and square roots. It defines a square number as the result of multiplying a number by itself. Some key points made include:
- Numbers ending in 2, 3, 7, or 8 cannot be perfect squares, while numbers ending in 1, 4, 5, 6, or 9 may be squares
- The units digit of a square number depends on the units digit of the original number
- Odd squares are odd numbers and even squares are even numbers
- A number is not a perfect square if it ends in an odd number of zeros
- The Pythagorean theorem relates the squares of the sides of a right triangle
- Square roots can be estimated and found using repeated subtraction
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This document contains information about important numbers and formulas. It discusses topics like place value, types of numbers (natural, whole, integers, even, odd, prime, composite), tests for divisibility, multiplication shortcuts, basic formulas, progression, and the Euclidean algorithm for division. Some key points covered are the place value system in Hindu-Arabic numerals, definitions of different types of numbers, tests for divisibility by various numbers, formulas for arithmetic and geometric progressions, and the division algorithm.
Chapter2009
This document contains a countdown round from the 2009 MATH COUNTS chapter competition, consisting of 62 multiple choice math questions with answers. The questions cover a wide range of math topics including arithmetic, algebra, geometry, probability, and word problems. The summary provides an overview of the type and scope of questions included in the document without reproducing any specific questions or answers.
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There are 20 multiple choice questions related to mathematics, algorithms, and data structures. For each question, the document provides the question, possible answers, and the correct answer. The questions cover a variety of topics including graphs, hashing, time complexity analysis, and probability.
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The document discusses English as a medium of instruction. It is authored by Siti Aisyah with student ID 110210101066. She is studying mathematics education at the Teacher Training and Education Science Faculty of Jember University in Indonesia. The document explores various gestures related to interacting with technology, including global posture, drawing, swiping, trancing, taking in information, and strunching.
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The document provides step-by-step instructions for performing lattice multiplication with decimals. It demonstrates multiplying 3.42 by 6.9 using a lattice method. The steps include drawing a grid, placing the numbers in the grid with decimals aligned, multiplying the numbers and placing results in the grid, adding the diagonals while carrying numbers, and finally placing the decimal point to get the final answer of 23.598.
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Jawaban 1
- 1. 1. The simplest form of ( )( )( )( ) ( ) ( )( )( )( ) ( ) Is... Answer ( ) ( ) ( ) ( ) ( ) ( ) ( )( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 2. and is non zero real number which satisfied Prove that ! Answer : Because then : ...........................(1) Let : then : and ( ) ....................(2)
- 2. ( ) Substitude equation (2) : ( ) ( ) Because then ( ) So, it proved that 3. Determine the probability of taking a number that divisible by 3 or 5 from a set of natural number less then 1000! Answer : ( ) = The number of divisible by 3 : ( ) ( ) ( ) ( ) ( ) = The number of divisible by 5 : ( ) ( ) ( ) ( ) ( ) = The number of divisible by 15 : ( ) ( )
- 3. ( ) ( ) ( ) Probability of taking a number that divisible by 3 or 5 from a set of natural number less then 1000 : ( ) ( ) ( ) ( ) ( ) ( ) ( ) 4. Prove that the orange area have the same area! Answer :
- 4. The area of square ( ): Area Of : ( ( √ ) √ √ ) ( ) So,