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)
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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Concept explainers

Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…
Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …
Concavity
In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …
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Chapter 10.2, Problem 13MC
To determine

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Whether a stem leaf plot constructed with greatest number at bottom and least at the top.

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Chapter 10.2, Problem 12MC
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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. 7MCCh. 10.1 - National Assessment of Educational ProgressNAEP...Ch. 10.1 - Prob. 2NAEPCh. 10.1A - A second-grade class has a project to determine...Ch. 10.1A - Prob. 2ACh. 10.1A - Prob. 3A
Ch. 10.1A - To determine the most popular book among students...Ch. 10.1A - Prob. 5ACh. 10.1A - Prob. 6ACh. 10.1A - If a class were to investigate how many countries...Ch. 10.1A - Prob. 8ACh. 10.1A - In a set of student evaluations of their...Ch. 10.1A - Prob. 10ACh. 10.1A - If a bar graph like the one shown here were used...Ch. 10.1A - Prob. 12ACh. 10.1B - A second-grade class has a project to determine...Ch. 10.1B - An elementary school class decides to determine...Ch. 10.1B - Assessment To determine student computer use,...Ch. 10.1B - Prob. 7ACh. 10.1B - Prob. 8ACh. 10.1B - Assessment A university professor used a rating...Ch. 10.1B - Suppose a poll is to be conducted in an elementary...Ch. 10.1B - Prob. 11ACh. 10.1B - Determine the population and the sample in the...Ch. 10.2 - Mathematical Connections a. Discuss when a...Ch. 10.2 - Mathematical Connections Explain whether a circle...Ch. 10.2 - Mathematical Connections Explain why the sum of...Ch. 10.2 - Mathematical Connections The federal budget for...Ch. 10.2 - Prob. 5MCCh. 10.2 - Prob. 6MCCh. 10.2 - Mathematical Connections Find five examples of...Ch. 10.2 - Mathematical Connections A graph similar to the...Ch. 10.2 - Prob. 11MCCh. 10.2 - Prob. 12MCCh. 10.2 - Prob. 13MCCh. 10.2 - Prob. 14MCCh. 10.2 - Mathematical Connections Paul asks how to create a...Ch. 10.2 - National Assessment of Educational Progress NAEP...Ch. 10.2 - Prob. 2NAEPCh. 10.2 - National Assessment of Educational Progress NAEP...Ch. 10.2A - The following the pictograph shows the approximate...Ch. 10.2A - Prob. 2ACh. 10.2A - Sixth grade students reported the numbers of apps...Ch. 10.2A - Prob. 4ACh. 10.2A - Draw a histogram based on the stem and leaf plot...Ch. 10.2A - Prob. 6ACh. 10.2A - Prob. 7ACh. 10.2A - Prob. 8ACh. 10.2A - Prob. 9ACh. 10.2A - Prob. 10ACh. 10.2A - Seniors Sierra High were asked to about their...Ch. 10.2A - Prob. 12ACh. 10.2A - a. A 2-inch-long rectangle serves as a percentage...Ch. 10.2A - Prob. 14ACh. 10.2A - a. If the number of people reading mysteries in...Ch. 10.2A - Prob. 16ACh. 10.2A - Prob. 17ACh. 10.2A - Prob. 18ACh. 10.2A - Prob. 19ACh. 10.2B - The following pictograph shows the approximate...Ch. 10.2B - Display the following information about the status...Ch. 10.2B - Prob. 3ACh. 10.2B - The heights reached by 15 model rockets launched...Ch. 10.2B - Prob. 5ACh. 10.2B - Prob. 6ACh. 10.2B - Given the following bar graph, estimate the length...Ch. 10.2B - Prob. 8ACh. 10.2B - Prob. 9ACh. 10.2B - Prob. 10ACh. 10.2B - Draw a circle graph for the data in exercise 10....Ch. 10.2B - Use the circle graph to answer the following...Ch. 10.2B - a. In a circle graph, a sector containing 82...Ch. 10.2B - Prob. 14ACh. 10.2B - A list of presidents, with the number of children...Ch. 10.2B - Prob. 16ACh. 10.2B - The histogram below shows the number of books read...Ch. 10.3 - Explain the concept of association as it is...Ch. 10.3 - Jacquie argued that scatterplots had little value...Ch. 10.3 - The Smith family drew a circle graph of their...Ch. 10.3 - Prob. 9MCCh. 10.3 - Prob. 10MCCh. 10.3 - Prob. 1NAEPCh. 10.3A - Assessment The graph below shows the population of...Ch. 10.3A - Prob. 3ACh. 10.3A - Prob. 4ACh. 10.3A - Prob. 5ACh. 10.3A - Prob. 6ACh. 10.3A - Assessment Consider an arithmetic sequence with...Ch. 10.3A - Prob. 8ACh. 10.3A - Assessment In the following scatterplots, find an...Ch. 10.3A - The following data show the cost of various...Ch. 10.3A - Assessment If a trend line has equation...Ch. 10.3A - Assessment If a trend line has equation y=150.8x,...Ch. 10.3B - The graph below shows the average age at which...Ch. 10.3B - Answer the following questions based on the line...Ch. 10.3B - The graph below shows line graphs for...Ch. 10.3B - The graph depicts the spelling result from Mr....Ch. 10.3B - Prob. 5ACh. 10.3B - Prob. 6ACh. 10.3B - Prob. 7ACh. 10.3B - Use the scatterplots shown to answer the...Ch. 10.3B - In the following scatterplots, find an equation of...Ch. 10.3B - Prob. 10ACh. 10.3B - Prob. 11ACh. 10.3B - Prob. 12ACh. 10.3B - Assessment If a trend line has equation...Ch. 10.3B - For each of the following pairs of variables,...Ch. 10.4 - Carl had scores of 90,95,85, and 90 on his first...Ch. 10.4 - The mean of the five numbers given is 50: 20 35 50...Ch. 10.4 - Sue drives 5 mi at 30 mph and ten 5 mi at 50 mph....Ch. 10.4 - Mathematical Connections Explain why the mode...Ch. 10.4 - Prob. 9MCCh. 10.4 - Mathematical Connections The mean of 5,7,9 is 7....Ch. 10.4 - Prob. 11MCCh. 10.4 - Mathematical Connections What does a large...Ch. 10.4 - Mathematical Connections In each pair of variables...Ch. 10.4 - Prob. 14MCCh. 10.4 - Mathematical Connections A student asks, If the...Ch. 10.4 - Mathematical Connections Jose asks, Why can a...Ch. 10.4 - Mathematical Connections Suppose the class takes a...Ch. 10.4 - Mathematical Connections A student asks if it is...Ch. 10.4 - Prob. 21MCCh. 10.4 - Mathematical Connections A student asks if it is...Ch. 10.4 - Mathematical Connections Mels mean on 10 tests for...Ch. 10.4 - Prob. 24MCCh. 10.4 - Mathematical Connections Given the bar graph...Ch. 10.4 - Mathematical Connections Following are raw test...Ch. 10.4 - National Assessment of Educational Progress NAEP...Ch. 10.4 - National Assessment of Educational Progress NAEP...Ch. 10.4 - Prob. 3NAEPCh. 10.4A - Assessment Calculate the mean, the median, and the...Ch. 10.4A - Prob. 2ACh. 10.4A - Assessment a. If three students scored 75 on a...Ch. 10.4A - Prob. 4ACh. 10.4A - Assessment Suppose in Selinas class there were...Ch. 10.4A - Prob. 6ACh. 10.4A - Prob. 7ACh. 10.4A - Prob. 8ACh. 10.4A - Prob. 9ACh. 10.4A - Prob. 10ACh. 10.4A - Prob. 11ACh. 10.4A - Prob. 12ACh. 10.4A - Prob. 13ACh. 10.4A - Prob. 14ACh. 10.4A - Assessment Following are box plots comparing the...Ch. 10.4A - Prob. 16ACh. 10.4A - Prob. 17ACh. 10.4A - Assessment What is the standard deviation of the...Ch. 10.4A - Prob. 19ACh. 10.4A - Prob. 20ACh. 10.4A - Assume a normal distribution and that the average...Ch. 10.4A - Prob. 22ACh. 10.4A - Prob. 23ACh. 10.4A - Prob. 24ACh. 10.4A - Prob. 25ACh. 10.4A - Prob. 26ACh. 10.4A - Prob. 27ACh. 10.4B - Calculate the mean, the median, and the mode for...Ch. 10.4B - Prob. 2ACh. 10.4B - Prob. 3ACh. 10.4B - Prob. 4ACh. 10.4B - Prob. 5ACh. 10.4B - Prob. 6ACh. 10.4B - a. Mr. Alberto wanted to count the score on a term...Ch. 10.4B - Prob. 9ACh. 10.4B - Prob. 10ACh. 10.4B - Prob. 11ACh. 10.4B - Prob. 12ACh. 10.4B - Prob. 13ACh. 10.4B - Ginnys median score on three tests was 90. Her...Ch. 10.4B - Prob. 15ACh. 10.4B - Prob. 16ACh. 10.4B - a. If all the numbers in a set are equal, what is...Ch. 10.4B - In a school system, teachers start at a salary of...Ch. 10.4B - Prob. 20ACh. 10.4B - Prob. 21ACh. 10.4B - Prob. 22ACh. 10.4B - The weights of newborn babies in a certain country...Ch. 10.4B - Prob. 24ACh. 10.4B - Prob. 25ACh. 10.4B - Prob. 26ACh. 10.4B - Prob. 27ACh. 10.5 - Discuss the effect on the appearance of a graph...Ch. 10.5 - Words such as may as in may help with reading...Ch. 10.5 - Prob. 3MCCh. 10.5 - Prob. 4MCCh. 10.5 - Prob. 5MCCh. 10.5 - Prob. 6MCCh. 10.5 - Following are the record swimming times of the...Ch. 10.5 - National Assessment of Educational Progress NAEP...Ch. 10.5 - Richard wants to estimate the average mean monthly...Ch. 10.5 - Prob. 3NAEPCh. 10.5A - Assessment The city of Podunk advertised itself as...Ch. 10.5A - Prob. 3ACh. 10.5A - Prob. 4ACh. 10.5A - Prob. 5ACh. 10.5A - Mathematical Connections Refer to the following...Ch. 10.5A - Prob. 9ACh. 10.5A - Prob. 10ACh. 10.5A - Prob. 11ACh. 10.5A - Prob. 12ACh. 10.5A - Prob. 14ACh. 10.5A - Prob. 15ACh. 10.5A - Prob. 16ACh. 10.5B - Prob. 4ACh. 10.5B - Prob. 10ACh. 10.5B - Prob. 11ACh. 10.5B - Prob. 12ACh. 10.5B - Prob. 13ACh. 10.5B - Prob. 14ACh. 10.5B - What are the characteristics that you think a...Ch. 10.5B - Prob. 16ACh. 10.5B - Prob. 17ACh. 10.5B - Prob. 18ACh. 10.5B - In the figure shown, monthly sales of three...Ch. 10.5B - Prob. 20ACh. 10.CR - Suppose you read that the average family in...Ch. 10.CR - Prob. 2CRCh. 10.CR - Prob. 3CRCh. 10.CR - Prob. 5CRCh. 10.CR - Prob. 6CRCh. 10.CR - The budget for the Wegetem Crime Co. is 2,000,000....Ch. 10.CR - Prob. 8CRCh. 10.CR - Prob. 9CRCh. 10.CR - Prob. 10CRCh. 10.CR - The life expectancies at birth for males and...Ch. 10.CR - Prob. 12CRCh. 10.CR - Prob. 13CRCh. 10.CR - Prob. 14CRCh. 10.CR - Prob. 15CRCh. 10.CR - Prob. 16CRCh. 10.CR - Prob. 17CRCh. 10.CR - Prob. 18CRCh. 10.CR - Prob. 20CRCh. 10.CR - Prob. 21CRCh. 10.CR - Prob. 22CRCh. 10.CR - Prob. 23CRCh. 10.CR - Prob. 24CRCh. 10.CR - Prob. 26CRCh. 10.CR - CHAPTER 10 REVIEW Give examples of several ways to...Ch. 10.CR - Prob. 28CRCh. 10.CR - Prob. 29CRCh. 10.CR - Prob. 30CRCh. 10.CR - Prob. 31CRCh. 10.CR - Prob. 32CRCh. 10 - NOW TRY THIS On the student page shown below, work...Ch. 10 - Prob. 2NTCh. 10 - Prob. 3NTCh. 10 - Prob. 4NTCh. 10 - Prob. 5NTCh. 10 - Prob. 7NTCh. 10 - Prob. 8NTCh. 10 - Prob. 9NTCh. 10 - Prob. 10NTCh. 10 - Prob. 12NTCh. 10 - Prob. 13NT
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Finding Local Maxima and Minima by Differentiation; Author: Professor Dave Explains;https://www.youtube.com/watch?v=pvLj1s7SOtk;License: Standard YouTube License, CC-BY