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 1.1A, Problem 2A
Use the ideas in drawings (a) and (b) to find the solution to Gauss’s Problem for the sum
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Students have asked these similar questions
Q1. A group of five applicants for a pair of identical jobs consists of three men and two
women. The employer is to select two of the five applicants for the jobs. Let S
denote the set of all possible outcomes for the employer's selection. Let A denote
the subset of outcomes corresponding to the selection of two men and B the subset
corresponding to the selection of at least one woman. List the outcomes in A, B,
AUB, AN B, and An B. (Denote the different men and women by M₁, M2, M3
and W₁, W2, respectively.)
For the following function, find the full power series centered at a
of convergence.
0 and then give the first 5 nonzero terms of the power series and the open interval
=
f(2) Σ
8
1(x)--(-1)*(3)*
n=0
₤(x) = + + + ++...
The open interval of convergence is:
1
1
3
f(x)=
=
28
3x6 +1
(Give your answer in help (intervals) .)
Q3 (8 points)
Q3. A survey classified a large number of adults according to whether they were diag-
nosed as needing eyeglasses to correct their reading vision and whether they use
eyeglasses when reading. The proportions falling into the four resulting categories
are given in the following table:
Use Eyeglasses for Reading
Needs glasses Yes
No
Yes
0.44
0.14
No
0.02
0.40
If a single adult is selected from the large group, find the probabilities of the events
defined below. The adult
(a) needs glasses.
(b) needs glasses but does not use them.
(c) uses glasses whether the glasses are needed or not.
Chapter 1 Solutions
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Ch. 1.1 - Mathematical Connections 1-2 a. If a fixed number...Ch. 1.1 - Mathematical Connections 1-2 A student says she...Ch. 1.1 - Mathematical Connections 1-2 Abby and Dan are...Ch. 1.1 - Mathematical Connections 1-2 The arithmetic...Ch. 1.1 - Mathematical Connections 1-2 A mathematician named...Ch. 1.1 - Mathematical Connections 1-2 The figure below...Ch. 1.1 - Mathematical Connections 1-1 The distance around...Ch. 1.1 - John asks why the last step of Polyas four-step...Ch. 1.1 - Mathematical Connections 1-2 Connecting...Ch. 1.1 - Mathematical Connections 1-2 Connecting...
Ch. 1.1 - Mathematical Connections 1-2 Connecting...Ch. 1.1 - Mathematical Connections 1-2 Connecting...Ch. 1.1 - National Assessment of Educational Progress NAEP...Ch. 1.1 - National Assessment of Educational Progress NAEP...Ch. 1.1 - National Assessment of Educational Progress NAEP...Ch. 1.1 - National Assessment of Educational Progress NAEP A...Ch. 1.1A - Use the approach in Gausss Problem to find the...Ch. 1.1A - Use the ideas in drawings a and b to find the...Ch. 1.1A - Find the sum 36+37+38+39+...+146+147.Ch. 1.1A - Assessment 1-1A Cookies are sold singly or in...Ch. 1.1A - Assessment 1-1A In a big red box, there are 7...Ch. 1.1A - Assessment 1-1A How many triangles are in the...Ch. 1.1A - Assessment 1-1A Without computing each sum, find...Ch. 1.1A - Assessment 1-1A Alababa, Bubba, Cory, and Dandy...Ch. 1.1A - Assessment 1-1A How many ways can you make change...Ch. 1.1A - Assessment 1-1A The following is a magic square...Ch. 1.1A - Assessment 1-1A Debbie and Amy began reading a...Ch. 1.1A - Assessment 1-1A The 14 digits of a credit card are...Ch. 1.1A - Assessment 1-1A Three closed boxes A, B, and C of...Ch. 1.1A - Assessment 1-1A An electrician charges 50 per hour...Ch. 1.1A - Assessment 1-1A Kathy stood on the middle rung of...Ch. 1.1A - Assessment 1-1A Alex made 4 pies, some apple and...Ch. 1.1A - Assessment 1-1A Al bought a CD player for 100,...Ch. 1.1A - Assessment 1-1A A basketball bat and ball cost 50....Ch. 1.1B - Use the approach in Gausss problem to find the...Ch. 1.1B - Use the diagram below to explain how to find the...Ch. 1.1B - Find the sum of 58+59+60+61+...+203.Ch. 1.1B - Eve Merriam " titled her childrens book...Ch. 1.1B - Prob. 5ACh. 1.1B - How many squares are in the following figure?Ch. 1.1B - Prob. 7ACh. 1.1B - The sign says that you are leaving Missoula, Butte...Ch. 1.1B - Marc goes to the store with exactly 1.00 in...Ch. 1.1B - Find a 3-by-3 magic square using the numbers 3, 5,...Ch. 1.1B - Eight marbles look alike, but one is slightly...Ch. 1.1B - Recall the song "TheTwelveDaysofChristmas": On the...Ch. 1.1B - a. Suppose you have quarters, dimes and pennies...Ch. 1.1B - Suppose you buy lunch for the math club. You have...Ch. 1.1B - One winter night the temperature fell 15 degrees...Ch. 1.1B - Seth bought gifts at a toy store and spent 33. He...Ch. 1.1B - Find the value of the question mark.Ch. 1.1B - You are given a cube that is made of 101010...Ch. 1.2 - a. If a fixed number is added to each term of an...Ch. 1.2 - A student says she read that Thomas Robert Malthus...Ch. 1.2 - MATHEMATICAL CONNECTIONS Abby to take place in 5...Ch. 1.2 - MATHEMATICAL CONNECTIONS The arithmetic average of...Ch. 1.2 - A mathematician named Christian Goldbach 1690-1764...Ch. 1.2 - Prob. 6MCCh. 1.2 - Prob. 7MCCh. 1.2 - Prob. 8MCCh. 1.2 - MATHEMATICAL CONNECTIONS Joey said that 4, 24, 44,...Ch. 1.2 - Mathematical Connections A1 and Betty were asked...Ch. 1.2 - MATHEMATICAL CONNECTIONS A student claims the...Ch. 1.2 - Prob. 12MCCh. 1.2 - MATHEMATICAL CONNECTIONS Suppose flu breaks out in...Ch. 1.2 - a. Students noticed that the digits of numbers in...Ch. 1.2 - Mathematical connections 12 In a baseball league...Ch. 1.2 - Mathematical connections 12 How many ways can you...Ch. 1.2 - Mathematical connections 12 Tents hold...Ch. 1.2 - Prob. 1NAEPCh. 1.2 - NATIONAL ASSESSMENT OF EDUCATIONAL PROGRESS NAEP...Ch. 1.2 - NATIONAL ASSESSMENT OF EDUCATIONAL PROGRESS NAEP...Ch. 1.2 - Prob. 4NAEPCh. 1.2A - ASSESSEMENT For each of the following sequences of...Ch. 1.2A - ASSESSMENT Each of the following sequences is...Ch. 1.2A - Assessment Find the 100th term and the nth term...Ch. 1.2A - ASSESSMENT Use a traditional clock face to...Ch. 1.2A - ASSESSMENT The pattern 1,8,27,64,125,... is a...Ch. 1.2A - ASSESSMENT The first windmill has 5 matchstick...Ch. 1.2A - ASSESSMENT In the following sequence, the figures...Ch. 1.2A - ASSESSMENT The school population for a certain...Ch. 1.2A - ASSESSMENT Juans annual income has been increasing...Ch. 1.2A - ASSESSMENT Find a number to continue the pattern...Ch. 1.2A - ASSESSMENT One block is needed to make an...Ch. 1.2A - Assessment How many terms are there in each of the...Ch. 1.2A - ASSESSMENT Find the first five terms in sequences...Ch. 1.2A - ASSESSMENT Find a counterexample for each of the...Ch. 1.2A - ASSESSMENT Assume that the following patterns are...Ch. 1.2A - ASSESSMENT Consider the sequences given in the...Ch. 1.2A - ASSESSMENT A sheet of paper is cut into 5...Ch. 1.2A - Assessment Each of the following sequences is...Ch. 1.2A - Assessment A Fibonacci-type sequence is a sequence...Ch. 1.2A - ASSESSMENT A new pair of tennis shoes cost 80. If...Ch. 1.2B - ASSESSEMENT For each of the following sequences of...Ch. 1.2B - Assessment Each of the following sequences is...Ch. 1.2B - Find the 100th term and the nth term for each of...Ch. 1.2B - ASSESSMENT Use a traditional clock face to...Ch. 1.2B - Assessment Observe the following pattern:...Ch. 1.2B - In the following pattern, one hexagon takes 6...Ch. 1.2B - ASSESSMENT Each successive figure below is made of...Ch. 1.2B - ASSESSMENT A tank contains 15,360L of water. At...Ch. 1.2B - ASSESSMENT The Washington Middle School time is an...Ch. 1.2B - There are nine points drawn as shown below. Can...Ch. 1.2B - Prob. 11ACh. 1.2B - ASSESSMENT How many terms are there in a following...Ch. 1.2B - ASSESSMENT Find the first five terms in sequences...Ch. 1.2B - ASSESSMENT Find a counterexample for each of the...Ch. 1.2B - ASSESSMENT Assume the following pattern with terms...Ch. 1.2B - ASSESSMENT Consider the sequences given in the...Ch. 1.2B - Female bees are born fertilized eggs, and male...Ch. 1.2B - Assessment Each of the following sequences is...Ch. 1.2B - Assessment Each of the following sequences is a...Ch. 1.CR - CHAPTER 1 REVIEW If today is Sunday, July 4, and...Ch. 1.CR - CHAPTER 1 REVIEW Jackie spent 40 on two items. If...Ch. 1.CR - CHAPTER 1 REVIEW List three more terms that...Ch. 1.CR - Find a possible nth term in each of the following:...Ch. 1.CR - Prob. 5CRCh. 1.CR - CHAPTER 1 REVIEW Find the following sums: a....Ch. 1.CR - Prob. 7CRCh. 1.CR - Prob. 8CRCh. 1.CR - Prob. 9CRCh. 1.CR - CHAPTER 1 REVIEW Solve the following equations: a....Ch. 1.CR - CHAPTER 1 REVIEW If fence posts are to be placed...Ch. 1.CR - If a complete rotation of a car tire moves car...Ch. 1.CR - CHAPTER 1 REVIEW The members of Mrs. Grants class...Ch. 1.CR - CHAPTER 1 REVIEW A carpenter has three large...Ch. 1.CR - CHAPTER 1 REVIEW An ant farm can hold 100,000...Ch. 1.CR - CHAPTER 1 REVIEW Tomas team entered a mathematics...Ch. 1.CR - CHAPTER 1 REVIEW Three pieces of wood are needed...Ch. 1.CR - CHAPTER 1 REVIEW How many four-digit numbers have...Ch. 1.CR - Prob. 19CRCh. 1.CR - Prob. 20CRCh. 1.CR - Prob. 21CRCh. 1.CR - Prob. 22CRCh. 1.CR - Prob. 23CRCh. 1.CR - CHAPTER 1 REVIEW Each of the following is a...Ch. 1.CR - CHAPTER 1 REVIEW Find the value of the question...Ch. 1.CR - Prob. 26CRCh. 1.CR - Prob. 27CRCh. 1 - NOW TRY THIS Explain whether the approach in...Ch. 1 - NOW TRY THIS Find the sum of consecutive natural...Ch. 1 - NOW TRY THIS An elevator stopped at the middle...Ch. 1 - Prob. 4NTCh. 1 - NOW TRY THIS A prime number is a natural number...Ch. 1 - NOW TRY THIS Here is the Fibonacci sequence: n 1 2...Ch. 1 - Prob. 7NTCh. 1 - NOW TRY THIS Consider the rectangular numbers in...
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