Problem Solving Approach to Mathematics for Elementary School Teachers, A, Plus MyLab Math -- Access Card Package (12th Edition)
12th Edition
ISBN: 9780321990594
Author: Rick Billstein, Shlomo Libeskind, Johnny Lott
Publisher: PEARSON
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Chapter 1.2B, Problem 11A
To determine
a.
The next three terms to continue a pattern in the sequence
To determine
b.
The next three terms to continue a pattern in the sequence
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Starting with the finished version of Example 6.2, attached, change the decision criterion to "maximize expected utility," using an exponential utility function with risk tolerance $5,000,000. Display certainty equivalents on the tree.
a. Keep doubling the risk tolerance until the company's best strategy is the same as with the EMV criterion—continue with development and then market if successful.
The risk tolerance must reach $ 160,000,000 before the risk averse company acts the same as the EMV-maximizing company.
b. With a risk tolerance of $320,000,000, the company views the optimal strategy as equivalent to receiving a sure $____________ , even though the EMV from the original strategy (with no risk tolerance) is $ 59,200.
Complete solutions need handwriting. For all only sure experts solve it correct complete solutions
The graph below shows the U.S. federal expenses for 2012.
A) estimate the fraction of the total expenses that were spent on Medicare. Write your answer as the
closest fraction whose denominator is 100.
B) estimate the fraction of the total expenses that were spent on Medicare and Medicaid. Write your
answer as the closest fraction, whose denominator is 100.
Chapter 1 Solutions
Problem Solving Approach to Mathematics for Elementary School Teachers, A, Plus MyLab Math -- Access Card Package (12th 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 - Consider a game where you have two distict piles...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 - Work in pairs on the following versions of a game...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 - National Assessment of Educational Progress NAEP...Ch. 1.1 - A pattern of dots is shown above. How many dots...Ch. 1.1 - Susie said, I have 83c but fewer than 10 coins....Ch. 1.1 - An Introduction to Problem Solving Sam folds 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 - Without computing each sum of the arithmetic...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. 1.1B - 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 - If P=1+3+5+7+...+99 and Q=5+7+9...+101 are sums of...Ch. 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. 1.2 - 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 - Prob. 5MCCh. 1.2 - Prob. 6MCCh. 1.2 - Prob. 7MCCh. 1.2 - Prob. 8MCCh. 1.2 - Prob. 9MCCh. 1.2 - Prob. 10MCCh. 1.2 - The following pattern is called Pascals triangle....Ch. 1.2 - Prob. 12MCCh. 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. 16MCCh. 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 - A car can seat c adults. A van can seat 4 more...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 - Joes annual income has been increasing each year...Ch. 1.2A - The first difference of a sequence is the...Ch. 1.2A - List the next three terms to continue a pattern in...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 - Find a counterexample for each of the following:...Ch. 1.2A - Assume that the following patterns are built of...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 - Prob. 20ACh. 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 - The first difference of a sequence is the...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 - Prob. 19ACh. 1.2B - Starting with 1 and 1 as the first two terms of...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 - A nursery rhyme states: A diller, a dollar, a ten...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. 6CRCh. 1.CR - CHAPTER 1 REVIEW Find the following sums: a....Ch. 1.CR - Prob. 8CRCh. 1.CR - Prob. 9CRCh. 1.CR - Prob. 10CRCh. 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 - Use differences to find the next term in the...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 - If n and m are natural numbers and nm, how many...Ch. 1.CR - Prob. 22CRCh. 1.CR - Prob. 23CRCh. 1.CR - Prob. 24CRCh. 1.CR - a. If every second term in an arithmetic sequence...Ch. 1.CR - Prob. 26CRCh. 1.CR - CHAPTER 1 REVIEW Each of the following is a...Ch. 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 Each of 16 people in a round-robin...Ch. 1 - NOW TRY THIS An elevator stopped at the middle...Ch. 1 - Prob. 5NTCh. 1 - NOW TRY THIS A prime number is a natural number...Ch. 1 - In Figure 13, we want to know how many different...Ch. 1 - Prob. 8NTCh. 1 - NOW TRY THIS Consider the rectangular numbers in...
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- Starting with the finished version of Example 6.2, attached, change the decision criterion to "maximize expected utility," using an exponential utility function with risk tolerance $5,000,000. Display certainty equivalents on the tree. a. Keep doubling the risk tolerance until the company's best strategy is the same as with the EMV criterion—continue with development and then market if successful. The risk tolerance must reach $ ____________ before the risk averse company acts the same as the EMV-maximizing company. b. With a risk tolerance of $320,000,000, the company views the optimal strategy as equivalent to receiving a sure $____________ , even though the EMV from the original strategy (with no risk tolerance) is $ ___________ .arrow_forward2.8.1arrow_forwardDo not use the Residue Theorem. Thank you.arrow_forward
- A television network earns an average of $14 million each season from a hit program and loses an average of $8 million each season on a program that turns out to be a flop. Of all programs picked up by this network in recent years, 25% turn out to be hits and 75% turn out to be flops. At a cost of C dollars, a market research firm will analyze a pilot episode of a prospective program and issue a report predicting whether the given program will end up being a hit. If the program is actually going to be a hit, there is a 75% chance that the market researchers will predict the program to be a hit. If the program is actually going to be a flop, there is only a 30% chance that the market researchers will predict the program to be a hit. What is the maximum value of C that the network should be willing to pay the market research firm? Enter your answer in dollars, not in million dollars. $ __________ Calculate EVPI for this decision problem. Enter your answer in dollars, not in million…arrow_forwardEvaluate the line integral sin z dz, So sin where C is the portion of the curve y = x² from 0 to −1 + i.arrow_forwardLet f(z) be complex differentiable everywhere in C. Fix two distinct complex numbers a and b and a circle C of radius R with |a| < R,|b| < R traversed in the counter-clockwise direction. Evaluate the integral Sc − f(z)dz (z - a)(z – b) in terms of a, b and the values of f at those points.arrow_forward
- | Let C be a circle (with a positive radius) such that z = 1 lies in its interior. Evaluate the contour integral So Tz zez (z - 1)³ = where C is traversed in the clockwise direction. dzarrow_forwardquestion 8arrow_forwardTwo construction companies are bidding against one another for the right to construct a new community center building. The first construction company, Fine Line Homes, believes that its competitor, Buffalo Valley Construction, will place a bid for this project according to the distribution shown in this table: Buffalo Valley's Bid Bid Probability $160,000 0.2 $165,000 0.5 $170,000 0.2 $175,000 0.1 Furthermore, Fine Line Homes estimates that it will cost $160,000 for its own company to construct this building. Given its fine reputation and long-standing service within the local community, Fine Line Homes believes that it will likely be awarded the project in the event that it and Buffalo Valley Construction submit exactly the same bids. Find the bid that maximizes Fine Line’s expected profit. Max expected profit $ ________ . Bid that maximizes profit $ ________ .arrow_forward
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