
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
13th Edition
ISBN: 9780135183885
Author: Rick Billstein, Shlomo Libeskind, Johnny Lott, Barbara Boschmans
Publisher: PEARSON
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Textbook Question
Chapter 10.1B, Problem 1A
Assessment
To study the effect of student conversation on understanding a concept in a classroom, which type of study might be the best to use and why?
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Questions
An insurance company's cumulative incurred claims for the last 5 accident years are given
in the following table:
Development Year
Accident Year 0
2018
1 2 3 4
245 267 274 289 292
2019
255 276 288 294
2020
265 283 292
2021
263 278
2022
271
It can be assumed that claims are fully run off after 4 years. The premiums received for
each year are:
Accident Year Premium
2018
306
2019
312
2020
318
2021
326
2022
330
You do not need to make any allowance for inflation.
1. (a) Calculate the reserve at the end of 2022 using the basic chain ladder method.
(b) Calculate the reserve at the end of 2022 using the Bornhuetter-Ferguson method.
2. Comment on the differences in the reserves produced by the methods in Part 1.
7.
11 m
12.7 m
14 m
S
V=B₁+ B2(h)
9.5 m
16 m
h+s
2
na
62-19 = 37 +, M
h² = Bu-29
Find the interval and radius of convergence for the given power series.
n=0
(− 1)" xn
7" (n² + 2)
The series is convergent on the interval:
The radius of convergence is R
=
Chapter 10 Solutions
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Ch. 10.1 - Suggest how students at different grades might...Ch. 10.1 - Mathematical Connections What are the Nielsen...Ch. 10.1 - Prob. 4MCCh. 10.1 - Read about basic ideas of statistics in Common...Ch. 10.1 - National Assessment of Educational ProgressNAEP...Ch. 10.1 - Prob. 2NAEPCh. 10.1 - Prob. 3NAEPCh. 10.1A - If one wanted to study the effect of using a...Ch. 10.1A - Prob. 2ACh. 10.1A - Prob. 3A
Ch. 10.1A - Prob. 4ACh. 10.1A - Prob. 5ACh. 10.1A - Prob. 6ACh. 10.1A - A second-grade class has a project to determine...Ch. 10.1A - Prob. 8ACh. 10.1A - Prob. 9ACh. 10.1A - Decide whether each of the following questions is...Ch. 10.1A - Prob. 11ACh. 10.1A - If a class were to investigate how many countries...Ch. 10.1A - Prob. 13ACh. 10.1A - In a set of student evaluations of their...Ch. 10.1A - If a bar graph like the one shown here were used...Ch. 10.1A - Prob. 16ACh. 10.1B - Assessment To study the effect of student...Ch. 10.1B - Assessment If students are measuring a tablespoon...Ch. 10.1B - Assessment If third graders were measuring an...Ch. 10.1B - Assessment To determine student computer use,...Ch. 10.1B - Suppose a poll is to be conducted in an elementary...Ch. 10.1B - Determine the population and the sample in the...Ch. 10.1B - A second-grade class has a project to determine...Ch. 10.1B - An elementary school class decides to determine...Ch. 10.1B - Prob. 12ACh. 10.1B - Prob. 13ACh. 10.1B - Assessment A university professor used a rating...Ch. 10.1B - Prob. 15ACh. 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 - Mathematical Connections Tell whether it is...Ch. 10.2 - Mathematical Connections Car sales from 1990 to...Ch. 10.2 - Mathematical Connections Find five examples of...Ch. 10.2 - Mathematical Connections A graph similar to the...Ch. 10.2 - Mathematical Connections Vale asks whether a stem...Ch. 10.2 - Mathematical Connections A histogram of the data...Ch. 10.2 - Mathematical Connections Paul asks how to create a...Ch. 10.2 - Mathematical Connections On the School Book Page...Ch. 10.2 - Prob. 15MCCh. 10.2 - Answer the Try It on the School Book Page on page...Ch. 10.2 - Answer the Try It on the School Book Page on page...Ch. 10.2 - National Assessment of Educational Progress NAEP...Ch. 10.2 - National Assessment of Educational Progress NAEP...Ch. 10.2 - National Assessment of Educational Progress NAEP...Ch. 10.2 - National Assessment of Educational Progress NAEP...Ch. 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 - Prob. 3ACh. 10.2A - Sixth grade students reported the numbers of apps...Ch. 10.2A - Prob. 5ACh. 10.2A - Prob. 6ACh. 10.2A - Prob. 7ACh. 10.2A - Prob. 8ACh. 10.2A - Prob. 9ACh. 10.2A - Prob. 10ACh. 10.2A - Prob. 11ACh. 10.2A - Prob. 12ACh. 10.2A - Prob. 13ACh. 10.2A - a. A 2-inch-long rectangle serves as a percentage...Ch. 10.2A - Seniors Sierra High were asked to about their...Ch. 10.2A - Prob. 16ACh. 10.2A - Prob. 17ACh. 10.2A - Prob. 18ACh. 10.2B - The following pictograph shows the approximate...Ch. 10.2B - Display the following information about the status...Ch. 10.2B - In the figure shown, monthly sales of three...Ch. 10.2B - Prob. 4ACh. 10.2B - A list of presidents, with the number of children...Ch. 10.2B - Prob. 6ACh. 10.2B - The heights reached by 15 model rockets launched...Ch. 10.2B - Prob. 8ACh. 10.2B - Given the following bar graph, estimate the length...Ch. 10.2B - Prob. 10ACh. 10.2B - Prob. 11ACh. 10.2B - The graph below shows the number of books read by...Ch. 10.2B - Prob. 13ACh. 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 - A percentage bar graph with 100 is drawn to depict...Ch. 10.2B - Prob. 17ACh. 10.2B - Prob. 18ACh. 10.3 - Explain the concept of association as it is...Ch. 10.3 - Jacquie argued that scatterplots had little value...Ch. 10.3 - Prob. 6MCCh. 10.3 - The Garcia family drew a circle graph of their...Ch. 10.3 - Prob. 9MCCh. 10.3 - Prob. 10MCCh. 10.3 - A teacher surveyed 8 students in a class to find...Ch. 10.3 - Prob. 2NAEPCh. 10.3A - Assessment The graph below shows the population of...Ch. 10.3A - Assessment The graph shows the number of snow...Ch. 10.3A - Assessment The graph shows the US rates of adult...Ch. 10.3A - Prob. 5ACh. 10.3A - Prob. 6ACh. 10.3A - Prob. 7ACh. 10.3A - Assessment Consider an arithmetic sequence with...Ch. 10.3A - Prob. 9ACh. 10.3A - Assessment In the following scatterplots, find an...Ch. 10.3A - Assessment The following data show the amount of...Ch. 10.3A - Assessment If a trend line has equation...Ch. 10.3A - Assessment If a trend line has equation y=150.8x,...Ch. 10.3A - Assessment For each of the following pairs of...Ch. 10.3B - Prob. 1ACh. 10.3B - Prob. 2ACh. 10.3B - Prob. 3ACh. 10.3B - Prob. 4ACh. 10.3B - Prob. 5ACh. 10.3B - Prob. 6ACh. 10.3B - Prob. 7ACh. 10.3B - Prob. 8ACh. 10.3B - Prob. 9ACh. 10.3B - Prob. 10ACh. 10.3B - Prob. 11ACh. 10.3B - Prob. 12ACh. 10.3B - Prob. 13ACh. 10.3B - Assessment If a trend line has equation...Ch. 10.3B - Assessment For each of the following pairs of...Ch. 10.4 - Mathematical Connections Karl had scores of...Ch. 10.4 - The mean of the five numbers given is 50: 20 35 50...Ch. 10.4 - Prob. 6MCCh. 10.4 - Mathematical Connections Explain why the mode...Ch. 10.4 - Prob. 8MCCh. 10.4 - Mathematical Connections The mean of 5,7,9 is 7....Ch. 10.4 - Mathematical Connections If each number in a set...Ch. 10.4 - Mathematical Connections What does a large...Ch. 10.4 - Mathematical Connections In each pair of variables...Ch. 10.4 - Mathematical Connections Use the data in the...Ch. 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. 19MCCh. 10.4 - Mathematical Connections A student asks if it is...Ch. 10.4 - Mathematical Connections Mels mean on 10 tests for...Ch. 10.4 - Mathematical Connections On the School Book Page,...Ch. 10.4 - Prob. 25MCCh. 10.4 - Mathematical Connections Given the bar graph...Ch. 10.4 - Mathematical Connections Refer to the following...Ch. 10.4 - Mathematical Connections Following are raw test...Ch. 10.4 - Josephs current test scores, in points, are 83,...Ch. 10.4 - National Assessment of Educational Progress NAEP...Ch. 10.4 - Prob. 3NAEPCh. 10.4 - Richard wants to estimate the average mean monthly...Ch. 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 - Assessment The city of Podunk advertised itself as...Ch. 10.4A - Prob. 13ACh. 10.4A - Prob. 14ACh. 10.4A - Prob. 15ACh. 10.4A - Assessment Following are box plots comparing the...Ch. 10.4A - Prob. 17ACh. 10.4A - Assessment The following table shows the heights...Ch. 10.4A - Assessment What is the standard deviation of the...Ch. 10.4A - Prob. 20ACh. 10.4A - Prob. 21ACh. 10.4A - Assessment The average phone call in a certain...Ch. 10.4A - Prob. 23ACh. 10.4A - Prob. 24ACh. 10.4A - Prob. 25ACh. 10.4A - Prob. 26ACh. 10.4A - Prob. 27ACh. 10.4A - Prob. 28ACh. 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 - Prob. 7ACh. 10.4B - Prob. 9ACh. 10.4B - Prob. 10ACh. 10.4B - Prob. 11ACh. 10.4B - Prob. 12ACh. 10.4B - Prob. 13ACh. 10.4B - Prob. 14ACh. 10.4B - Ginnys median score on three tests was 90. Her...Ch. 10.4B - Prob. 16ACh. 10.4B - Prob. 17ACh. 10.4B - The following table shows the heights in feet of...Ch. 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. 21ACh. 10.4B - Prob. 22ACh. 10.4B - Prob. 23ACh. 10.4B - Prob. 24ACh. 10.4B - The weights of newborn babies in a certain country...Ch. 10.4B - Prob. 26ACh. 10.4B - Prob. 27ACh. 10.4B - Prob. 28ACh. 10.4B - Prob. 29ACh. 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. 11CRCh. 10.CR - Prob. 12CRCh. 10.CR - Prob. 13CRCh. 10.CR - Prob. 14CRCh. 10.CR - CHAPTER 10 REVIEW The following chart lists the...Ch. 10.CR - Prob. 16CRCh. 10.CR - Prob. 17CRCh. 10.CR - Prob. 19CRCh. 10.CR - Prob. 20CRCh. 10.CR - Prob. 21CRCh. 10.CR - Prob. 22CRCh. 10.CR - Prob. 24CRCh. 10.CR - CHAPTER 10 REVIEW Following are the record...Ch. 10.CR - Prob. 26CRCh. 10.CR - Prob. 27CRCh. 10.CR - Prob. 28CRCh. 10.CR - Prob. 29CRCh. 10.CR - Prob. 30CRCh. 10.CR - Prob. 32CRCh. 10.CR - CHAPTER 10 REVIEW Give examples of several ways to...Ch. 10.CR - Prob. 34CRCh. 10.CR - Prob. 35CRCh. 10.CR - Prob. 36CRCh. 10.CR - Prob. 37CRCh. 10 - Prob. 1NTCh. 10 - Prob. 2NTCh. 10 - Prob. 4NTCh. 10 - Prob. 5NTCh. 10 - Prob. 6NTCh. 10 - Prob. 7NTCh. 10 - Prob. 8NT
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