
A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
12th Edition
ISBN: 9780321987297
Author: Rick Billstein, Shlomo Libeskind, Johnny Lott
Publisher: PEARSON
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Textbook Question
Chapter 10.2B, Problem 15A
A list of presidents, with the number of children for each, follows:
1. Washington, 0 | 23. B. Harrison, 3 |
2. J. Adams, 5 | 24. McKinley, 2 |
3. Jefferson, 6 | 25. T. Roosevelt, 6 |
4. Madison, 0 | 26. Taft, 3 |
5. Monroe, 2 | 27. Wilson, 3 |
6. J.Q. Adams, 4 | 28. Harding, 0 |
7. Jackson, 0 | 29. Coolidge, 2 |
8. Van Buren, 4 | 30. Hoover, 2 |
9. W.H. Harrison, 10 | 31. F.D. Roosevelt, 6 |
10. Tyler, 15 | 32. Truman, 1 |
11. Polk, 0 | 33. Eisenhower, 2 |
12. Taylor, 6 | 34. Kennedy, 4 |
13. Fillmore, 2 | 35. L.B. Johnson, 2 |
14. Pierce, 3 | 36. Nixon, 2 |
15. Buchanan, 0 | 37. Ford, 4 |
16. Lincoln, 4 | 38. Carter, 4 |
17. A. Johnson, 5 | 39. Regan, 4 |
18. Grant, 4 | 40. G. Bush, 5 |
19. Hayes, 8 | 41. Clinton, 1 |
20. Garfield, 7 | 42. G.W. Bush, 2 |
21. Arthur, 3 | 43. Obama, 2 |
22. Cleveland, 5 |
a. Construct a dot plot for these data.
b. Make a frequency table for these data.
c. What is the most frequent number of children?
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Questions marked with *** are to be graded.
1. Use the initial and final value theorems to determine x(0*) and x(oo) for the following
transforms:
a(s+2)
***
a) X(s)=
s(s+b)
2(s+2)
b) X(s)=
s(s+a)(s+b)
2. Obtain the inverse Laplace transform for the following transforms.
a) F(s)=
as+b
b) F(s)=
5s+2
(s+a)(s+b)²
3. Obtain the solution x(t) of the the following differential equations:
a) x+ax=0, x(0)=b, x(0) = 0
b) 2x+2x+x=a, x(0)=0, x(0)=b
4. Obtain the inverse transform of the following. If the denominator of the transform has
complex roots, express x(t) in terms of sin() and cos().
***
a) X(s)=
b) X(s)=
4s+a
+8s+b
s³+as+6
s(s+b)
5. Determine the unit-step response, f (t) = u(t) of the following models. Take zero initial
conditions.
a) ax+20x+bx = f(t)
b) x+ax+bx=3f(t)+2f(t)
Chapter 10 Solutions
A Problem Solving Approach to Mathematics for Elementary School Teachers (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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