A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition)

12th Edition

ISBN: 9780133865479

Author: Rick Billstein, Shlomo Libeskind, Johnny Lott

Publisher: PEARSON

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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative p…

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Chapter 10.1B, Problem 12A

Determine the population and the sample in the following surveys. Is the sample representative?

a. You ask 50 students who have segregated their recyclables at lunch time whether or not they recycle at home.

b. To determine the favourite drink (coffee or tea) among the staff at your school, you ask each teacher, principal, and administrative assistant to write their choice on a card provided and then tally the responses.

c. To determine how many children have seen the new action hero movie over the weekend, you interview 50 children in the school library on the following Monday afternoon.

d. To determine the most popular color of cars in your city, you sit at the only thoroughfare connecting the largest residential district with downtown and tally the colors of passing cars during peak hours on several weekdays.

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Chapter 10.1B, Problem 11A

Chapter 10.2, Problem 1MC

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1. Abel's Theorem. The goal in this problem is to prove Abel's theorem by following a series of steps (each step must be justified). Theorem 0.1 (Abel's Theorem). If y1 and y2 are solutions of the differential equation y" + p(t) y′ + q(t) y = 0, where p and q are continuous on an open interval, then the Wronskian is given by W (¥1, v2)(t) = c exp(− [p(t) dt), where C is a constant that does not depend on t. Moreover, either W (y1, y2)(t) = 0 for every t in I or W (y1, y2)(t) = 0 for every t in I. 1. (a) From the two equations (which follow from the hypotheses), show that y" + p(t) y₁ + q(t) y₁ = 0 and y½ + p(t) y2 + q(t) y2 = 0, 2. (b) Observe that Hence, conclude that (YY2 - Y1 y2) + P(t) (y₁ Y2 - Y1 Y2) = 0. W'(y1, y2)(t) = yY2 - Y1 y2- W' + p(t) W = 0. 3. (c) Use the result from the previous step to complete the proof of the theorem.

eBook Print Item Question Content Area Support Department Cost Allocation—Reciprocal Services Method Blue Africa Inc. produces laptops and desktop computers. The company’s production activities mainly occur in what the company calls its Laser and Forming departments. The Cafeteria and Security departments support the company’s production activities and allocate costs based on the number of employees and square feet, respectively. The total cost of the Security Department is $261,000. The total cost of the Cafeteria Department is $300,000. The number of employees and the square footage in each department are as follows: Department Employees Square Feet Security 10 570 Cafeteria 28 2,400 Laser 40 4,800 Forming 50 800 Using the reciprocal services method of support department cost allocation, determine the total costs from the Security Department that should be allocated to…

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Chapter 10 Solutions

A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition)

Ch. 10.1 - Read about basic ideas of statistics in Common...Ch. 10.1 - Suggest how students at different grades might...Ch. 10.1 - Examine grade-school books to see what types of...Ch. 10.1 - Mathematical Connections What are the Nielsen...Ch. 10.1 - Prob. 7MC Ch. 10.1 - National Assessment of Educational ProgressNAEP...Ch. 10.1 - Prob. 2NAEP Ch. 10.1A - A second-grade class has a project to determine...Ch. 10.1A - Prob. 2A Ch. 10.1A - Prob. 3A

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Solution Summary: The author explains that the sample is not representative because it does not take into account students who don't recycle at school.

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