The Heart of Mathematics: An Invitation to Effective Thinking
4th Edition
ISBN: 9781118156599
Author: Edward B. Burger, Michael Starbird
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 10.4, Problem 16MS
What’s it all about, Ralphie? Many people believe that, had Ralph Nader dropped out of the 2000 U.S. presidential race, Al Gore would have won the election. Which voting principle discussed in this section best describes this situation?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A constitutional amendment has the support of 65 out of 100 senators and 292 out of 435 members of the House of Representatives. In order to become law, the amendment must have a 2/3 super majority by both the House and the Senate and also have the support of 75% of the states. Forty states have voted their support. Is it possible for the amendment to become law? Explain.
What is the correct answer and solution to the given question?
Would you want to be the president of the United States? Although manyteenagers think that they could grow up to be the president, most don’t want the job. In an opinion poll conducted by ABC News, nearly 80% of the teens were not interested in the job.2 When asked “What’s the mainreason you would not want to be president?” they gave these responses:Other career plans/no interest 40%Too much pressure 20%Too much work 15%Wouldn’t be good at it 14%Too much arguing 5%a. Are all of the reasons accounted for in this table? Add another category if necessary.b. Would you use a pie chart or a bar chart to graphically describe the data? Why?c. Draw the chart you chose in part b.d. If you were the person conducting the opinion poll, what other types of questions might you want to investigate?
Chapter 10 Solutions
The Heart of Mathematics: An Invitation to Effective Thinking
Ch. 10.1 - What do you expect? How do you compute an expected...Ch. 10.1 - The average bite. Your little sister loves visits...Ch. 10.1 - A tooth for a tooth? Suppose your cousins Tooth...Ch. 10.1 - Spinning wheel. Suppose the spinner shown is...Ch. 10.1 - Fair game. What does it mean for a game to be...Ch. 10.1 - Cross on the green (S). A standard roulette wheel...Ch. 10.1 - In the red. Given the bet from Mindscape 6, what...Ch. 10.1 - Free Lotto. For several years in Massachusetts,...Ch. 10.1 - Bank value. What is the expected value of keeping...Ch. 10.1 - Value of money. In Newcombs Paradox, first suppose...
Ch. 10.1 - Die roll. What is the expected value of each of...Ch. 10.1 - Dice roll (ExH). What is the expected value of...Ch. 10.1 - Fair is foul. Someone has a weighted coin that...Ch. 10.1 - Foul is fair (S). Someone has a weighted coin that...Ch. 10.1 - Cycle cycle (H). You live in an area where the...Ch. 10.1 - Whats your pleasure? You have three options for...Ch. 10.1 - Roulette expectation. A standard roulette wheel...Ch. 10.1 - Fair wheeling. You are at the roulette table and...Ch. 10.1 - High rolling (H). Here is a die game you play...Ch. 10.1 - Fair rolling. Suppose you are considering the game...Ch. 10.1 - Spinning wheel. You pay $5, pick one of the four...Ch. 10.1 - Dice (ExH). You place a bet and then roll two fair...Ch. 10.1 - Uncoverable bases. Show by a specific example how...Ch. 10.1 - Under the cap. A national soda company runs a...Ch. 10.1 - Two coins in a fountain. You pay Si for two coins...Ch. 10.1 - Three coins in a fountain. You pay $5 for three...Ch. 10.1 - Insure (S). You own a $9000 car and a $850...Ch. 10.1 - Get a job (H). You search for a job. Three...Ch. 10.1 - Take this job and... Given the employment scenario...Ch. 10.1 - Book value. Refer back to our analysis of the...Ch. 10.1 - In search of... A group of deep-sea divers...Ch. 10.1 - Solid gold. There is a 50% chance that the price...Ch. 10.1 - Four out of five. In Newcombs Paradox, suppose...Ch. 10.1 - Chevalier de Méré. Suppose that the Chevalier de...Ch. 10.1 - The St. Petersburg paradox. Here is an interesting...Ch. 10.1 - Coin or god. In Newcombs Paradox, first suppose...Ch. 10.1 - An investment. You wish to invest $1000, and you...Ch. 10.1 - Pap test (H). Assume that the insurance value of a...Ch. 10.1 - Prob. 40MSCh. 10.1 - Spin to win. To play a certain carnival game, you...Ch. 10.1 - Spinner winner. To play a different carnival game,...Ch. 10.1 - Insurance wagering (H). From the point of view of...Ch. 10.1 - Probable cause. Continuing the scenario from the...Ch. 10.1 - The bicycle thief. Some entrepreneurial classmates...Ch. 10.2 - Remarkably risky. List two activities that are...Ch. 10.2 - Surprisinly safe. List two activities that are...Ch. 10.2 - Infectious numbers (H). Suppose a disease is...Ch. 10.2 - SARS scars (S). Suppose a new vaccine that...Ch. 10.2 - A hairy pot. At a certain famous school of...Ch. 10.2 - Blonde, bleached blonde (H). You have high...Ch. 10.2 - Blonde again (S). Given the scenario in Mindscape...Ch. 10.2 - Bleached again. Given the scenario in Mindscape 6,...Ch. 10.2 - Safety first. Suppose a particular car is widely...Ch. 10.2 - Scholarship winner (ExH). You apply for a national...Ch. 10.2 - Less safe (ExH). Given the scenario in our air...Ch. 10.2 - Aw, nuts! Suppose that the loss of life expectancy...Ch. 10.2 - Dont cell! (H) Suppose you are a U.S. senator and...Ch. 10.2 - Buy low and cell high (H). The microwaves produced...Ch. 10.2 - Taxi blues (H). An eyewitness observes a...Ch. 10.2 - More taxi blues (S). An eyewitness observes a...Ch. 10.2 - Few blues. An eyewitness observes a hit-and-run...Ch. 10.2 - More safety. Given the scenario of our earlier air...Ch. 10.2 - Reduced safety. Given the scenario of our air...Ch. 10.2 - HIV tests. Recall that, in the United States,...Ch. 10.2 - More HIV tests. Given the tests described in the...Ch. 10.2 - Super sale. The bookstore is having a super sale...Ch. 10.2 - V.isk risk (H). You always sort your laundry into...Ch. 10.2 - Bag for life. An insurance company estimates that...Ch. 10.2 - Mooving sale. Plush toy versions of your college...Ch. 10.2 - Reweighing life expectancy An example in this...Ch. 10.3 - Simple interest (H). Suppose you deposit $500 into...Ch. 10.3 - Less simple interest. Suppose that at the...Ch. 10.3 - The power of powers (H). In this section we...Ch. 10.3 - Crafty compounding. Two thousand years ago, a...Ch. 10.3 - Keg costs. List some of the opportunity costs...Ch. 10.3 - You can bank on us (or them) (S). You wish to...Ch. 10.3 - The Kennedy compound. You wish to ivest $1000 for...Ch. 10.3 - Three times a lady. The Three-Timesa-Year Savings...Ch. 10.3 - Baker kneads dough (ExH). Your favorite baker,...Ch. 10.3 - I want my ATV! You want to purchase a cool, yellow...Ch. 10.3 - Lottery loot later? You have a big problem: Youve...Ch. 10.3 - Open sesame (S). Bert and Ernie each open a...Ch. 10.3 - Jelly-filled investments (H). Suppose you purchase...Ch. 10.3 - Taking stock. Suppose that a stock transaction...Ch. 10.3 - Making your pocketbook stocky. Suppose that a...Ch. 10.3 - Money-tree house. You decide you wish to build...Ch. 10.3 - Future vlaue (S). What is the future value of $...Ch. 10.3 - Present value (ExH). On the first day of your...Ch. 10.3 - Double or nothing (H). You decide you wish to...Ch. 10.3 - Triple or nothing. You decide you wish to triple...Ch. 10.3 - Power versus product (S). In this section we...Ch. 10.3 - Double vision. Suppose we have $P and we invest it...Ch. 10.3 - Adding up the bucks (H). You have a job every...Ch. 10.3 - Fiddling for dollars. As presented in the section...Ch. 10.3 - Facebank. Your roommates are developing some...Ch. 10.3 - Boatload o cash. At age 12 you dream of sailing...Ch. 10.3 - Houseload o cash. You want to buy a house by age...Ch. 10.4 - Landslide Lyndon. The two candidates in the 1948...Ch. 10.4 - Electoral college. Briefly outline a voting scheme...Ch. 10.4 - Voting for voting. What are some differences...Ch. 10.4 - Voting for sport. Given an example (ideally from...Ch. 10.4 - The point of the arrow (S). What does Arrows...Ch. 10.4 - Dictating an election through a dictator. Suppose...Ch. 10.4 - Pro- or Con-dorcet? (S) Consider the following...Ch. 10.4 - Where is Dr. Pepper? (S) Given the voting data...Ch. 10.4 - Approval drinking (H). Returning to the voting...Ch. 10.4 - Mindscapes 10 through 15 are based on the...Ch. 10.4 - Mindscapes 10 through 15 are based on the...Ch. 10.4 - Mindscapes 10 through 15 are based on the...Ch. 10.4 - Mindscapes 10 through 15 are based on the...Ch. 10.4 - Mindscapes 10 through 15 are based on the...Ch. 10.4 - Mindscapes 10 through 15 are based on the...Ch. 10.4 - Whats it all about, Ralphie? Many people believe...Ch. 10.4 - Two, too (ExH). Given an election between just two...Ch. 10.4 - Two, too II (ExH). Given an election between just...Ch. 10.4 - Instant runoffs. One way to avoid the lengthy...Ch. 10.4 - Run runoff. Given the method of instant runoff...Ch. 10.4 - Coin coupling. For this challenge, you will need...Ch. 10.4 - From money-mating to cupids arrow. Explain how the...Ch. 10.4 - Vote night. There are four candidates running for...Ch. 10.4 - Wroof recount. The election in the previous...Ch. 10.4 - Biggest loser? Who was the biggest loser in the...Ch. 10.4 - The X-act winner. Your schools math club has 73...Ch. 10.4 - Borda rules. Candidates A, B, and C are running...Ch. 10.5 - Prob. 1MSCh. 10.5 - Understanding icing (S). Suppose a person who had...Ch. 10.5 - Liquid gold. Suppose you and your two brothers are...Ch. 10.5 - East means West. Suppose you have a triangular...Ch. 10.5 - Two-bedroom bliss (H). Suppose you and a roommate...Ch. 10.5 - Your preference. Suppose the accompanying figure...Ch. 10.5 - Bulk. Suppose for you, bigger is better, so your...Ch. 10.5 - Dont move that knif. Give a specific scenario to...Ch. 10.5 - Prob. 9MSCh. 10.5 - Just do it. Get three people together and have...Ch. 10.5 - The real world. Give three real-world examples...Ch. 10.5 - Same tastes (H). If you are dividing a cake among...Ch. 10.5 - Crossing the line. In each triangle shown on the...Ch. 10.5 - Cutting up Mass (S). You, Joan, and John want to...Ch. 10.5 - Where to cut (H). The accompanying figure pictures...Ch. 10.5 - Land preference (ExH). Suppose you are preparing...Ch. 10.5 - Uneven pair (S). Suppose two people want to divide...Ch. 10.5 - Diversity pays. Explain why having differences of...Ch. 10.5 - Be fair. The moving-knife and yelling Stop method...Ch. 10.5 - Nuclear dump (ExH). Suppose there is a nuclear...Ch. 10.5 - Disarming (H). Two nuclear superpowers decide to...Ch. 10.5 - Cupcakes. Suppose you had 100 different cupcakes...Ch. 10.5 - Barely consistent. It is possible for Chris to...Ch. 10.5 - Your X. You and your ex-roommate happen to share a...Ch. 10.5 - Musical Xs. You play the violin in a chamber trio...Ch. 10.5 - Cake plot. Imagine a cake in the shape of a...Ch. 10.5 - Cake trisection. Imagine a cake in the shape of a...Ch. 10.5 - Roomate wrangling. You and a friend rent a...
Additional Math Textbook Solutions
Find more solutions based on key concepts
Children of First Ladies This list represents the number of children for the first six “first ladies” of the Un...
Introductory Statistics
Stretching a rubber band A force of 2 N will stretch a rubber band 2 cm (0.02 m). Assuming that Hooke’s Law app...
University Calculus: Early Transcendentals (4th Edition)
Solve each formula for the given letter . [2.3] What percent of 60 is 42? [2.4]
Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)
The following set of data is from sample of n=5: a. Compute the mean, median, and mode. b. Compute the range, v...
Basic Business Statistics, Student Value Edition
2. Source of Data In conducting a statistical study, why is it important to consider the source of the data?
Elementary Statistics
Answer each of the following and explain your answer. a. How many lines can contain a particular segment? b. Ho...
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Do 51% instead of 55%arrow_forwardI am a bit stuck with this table.arrow_forwardMichael wants to know if support for a local referendum on gay rights is related to political party affiliation. He conducts a survey of 200 local residents and asks them their political party affiliation and whether they intend to vote for or against the referendum. He learns that 16 people who say they are republican are for the referendum and 54 are against. Of those who say they are democrat, 72 people are for the referendum and 28 are against it. Some people identified as "other" and among that group, 3 were against the referendum and 27 were in favor of it. How would you represent the data in a table? Identify the null and alternative hypothesis.arrow_forward
- Michael wants to know if support for a local referendum on gay rights is related to political party affiliation. He conducts a survey of 200 local residents and asks them their political party affiliation and whether they intend to vote for or against the referendum. He learns that 16 people who say they are republican are for the referendum and 54 are against. Of those who say they are democrat, 72 people are for the referendum and 28 are against it. Some people identified as “other” and among that group, 3 were against the referendum and 27 were in favor of it. 1. Conduct the appropriate analysis with α=.05. 2. What should Michael conclude?arrow_forwardI only need part F and G answered please and thank you.arrow_forwardjust the multiple choice question thank you!arrow_forward
- a, b, and c pleasearrow_forwardYou are going to have a party and wonder how many people your class are vegans (according to the definition: do not eat meat, fish, eggs or milk products). You send out a survey and ask if they eat A. meat or fish, B. eggs and C. dairy products. You received 60 replies from a total of 60 students. The result shows that • 8 people do not eat eggs and dairy products • 12 people do not eat meat, fish and eggs • 7 people do not eat meat, fish and dairy products • 26 people do not eat fish and meat • 26 people do not eat eggs • 17 people do not eat dairy products. Unfortunately, you do not have a record of how many are neither eating eggs, dairy products, fish or meat. Determine how many people in your class are vegans.arrow_forwardYour class gets to elect a representative for the school council. The two choices are Lizzy and Michael. Polling of the class shows that Polly is preferred by 53% to 47% over Michael. However, before the vote is held, a new choice for representative is put forth by a student: Rodney. Many of the students that prefer Polly, would rather have Rodney. The results of the vote are below. Michael 45% Polly Rodney 35% 17% What statement below is correct about adding a third choice to the plurality vote? Rodney did not win the vote, but it had no effect on drawing enough support away from Polly to make Michael the winner, even though a majority of students preferred Polly over Michael when there were two choices. Rodney did not win the vote, but it draws enough support away from Polly to make Michael the winner, even though a majority of students preferred Polly over Michael when there were two choices. Rodney did not win the vote, so because of this Polly should win the vote over Michael. a…arrow_forward
- What are the two types of incorrect decisions?arrow_forward...... ................ ........... Before 1918, approximately 55% of the wolves in a region were male, and 45% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 65% of wolves in the region are male, and 35% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.) n USE SALT (a) Before 1918, in a random sample of 10 wolves spotted in the region, what is the probability that 7 or more were male? What is the probability that 7 or more were fertale? What is the probability that fewer than 4 were female? (b) For the period from 1918 to the present, in a random sample of 10 wolves spotted in the region, what is the probability that 7 or more were male? What is the probability that 7 or more were female? What is the probability that fewer than 4 were female? Need…arrow_forwardPLEASE PROVIDE SOLUTION ASAP AND SELECT CORRECT OPTION FOR EACHarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Grade 12 and UG/ Introduction to logical statements and truth tables; Author: Dr Trefor Bazett;https://www.youtube.com/watch?v=q2eyZZK-OIk;License: Standard YouTube License, CC-BY