HEART OF MATHEMATICS
4th Edition
ISBN: 9781119760061
Author: Burger
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 10.5, Problem 10MS
Just do it. Get three people together and have them share something. Have them fill out preference diagrams and actually proceed with the cake-cutting method. Afterwards, explain to them why it had to work. Write up their preferences, the cutting solution, and their reactions to why such a cutting is always possible.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The following graph shows the preference of favorite fruit of 200 people surveyed at a farmer's market.
Apple 15%
peaches 40%
orange 25%
bananas 20 %
Which fruit is the least preferred?
What percentage of people do not prefer oranges?
How many people prefer bananas?
Ted identified the top five receivers available in the game by the number of receiving yards.
Player
Yards
Calvin Johnson
1964
Andre Johnson
1598
Brandon Marshall
1508
Demaryius Thomas
1434
Vincent Jackson
1384
Select the suspected outliers in receiving yards from the available receivers in the game.
Tim and Hank are college dormmates. They are graduating and decide todivide some items they have shared over the years. Their preferences are given in the table below. Use the bottom-up method to determine the items that belong to Tim if Tim gets to choose first. Enter your answer as three letters without space in between. For example, if Tim gets Airbed, Bar Stool, and Couch, enter ABC.
Chapter 10 Solutions
HEART OF MATHEMATICS
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
If you multiply an odd number by 2 and add 1, is your answer even or odd?
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
3. Notation In general, what do the symbols and represent? What are the values of and for samples of size 6...
Elementary Statistics (13th Edition)
CHECK POINT I You deposit $3000 in s savings account at Yourtown Bank, which has rate of 5%. Find the interest ...
Thinking Mathematically (6th Edition)
To write a real word problem that can be modelled by the equation p−2.70=3.25
Pre-Algebra Student Edition
Identifying a Test In Exercises 21–24, determine whether the hypothesis test is left-tailed, right-tailed, or t...
Elementary Statistics: Picturing the World (7th 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
- A study of 552 first-year college students asked about their preferences for online resources. One question asked them to pick their favorite. Here are the results in a pie chart. Pie Chart for the Online Resource Wikipedia 9% Libriary 14% Other Google 74% Select correct answer(s). This is a multiple-answer question. It may have more than one correct answers. i. The percentage in the pie chart shows the percent for each category of a qualitative or a categorical variable. ii. Google is the favorite for about three-quarters of the students. iii. More than 85% of the students are in favor of using either Google or library. iv. Less than 20% of the students are in favor of using either library or Wikipedia.arrow_forwardThe school librarian wants to determine how many students use the library on a regular basis. What type of sampling method would she use if she chose to select every 3rd student who enters the library on Tuesday.arrow_forwardThirty-four college students were asked how much money they spent on textbooks for the current semester. Their responses are shown in the following stemplot. a. Describe a procedure for identifying potential outliers, and use the procedure to decide whether there are outliers among the responses for the money spent on textbooks. b.Based on the stemplot, write a few sentences describing the distribution of money spent on textbooks for the 34 students. c.One of the students spent $160 on books for the semester. If that value had been $260 instead, what effect would that increase have on the following statistics? Justify your answers. The mean The medianarrow_forward
- A Senior High School class held an election for class president. Instead of just voting for one candidate, the students needed to rank all the candidates according to preference. The table presents the results. RANKINGS Rey 2 3 1 3 4 2 Allyson 4 1 3 4 1 3 Michelle 1 2 2 2 3 4 Carlo 3 4 4 1 2 1 Number of Votes 36 53 41 27 31 45 1.What is Total Number of Votes 2. what is the ajority number of Votes 3. who is the winner by Plurality 4. who is the winner by Borda Count Methodarrow_forwardA biologist is studying the plant diversity in 15 million acres of the Sierra Nevada Mountains. He will count the number of species in 150 acres. Match the strategies to their corresponding sampling techniques. The biologist goes to 15 diverse locations that have 10 acres each and surveys all 10 acres for each of these 15 locations. The biologist goes to his 150 favorite hiking places and looks at an acres along each trail. The biologist classifies the Sierras into 10 different ecological types and then makes sure that the proportion of each ecological type from the sample is the same as the proportion of that of the population. The biologist enters the 15 million acres into a data base and had a computer randomly select 150 of these acres. The biologist orders the 15 million acres by latitude and then surveys every 100000th acre on the list. Convenience Sampling Cluster Sampling Systematic Sampling Stratified Sampling Simple Random Sampling Match the Vocab with the bullet…arrow_forwardA fundraiser is offering a small gift to people making a donation. The donor can choose one of four gifts: a mug, a t-shirt, a plush toy, or a water bottle. The fundraiser would like to know if any of the gifts were more or less popular or were they equal in preference. The data for n= 40 donors are below:arrow_forward
- A fundraiser is offering a small gift to people making a donation. The donor can choose one of four gifts: a mug, a t-shirt, a plush toy, or a water bottle. The fundraiser would like to know if any of the gifts were more or less popular or were they equal in preference. The data for n = 40 donors are below:arrow_forwardThirty-four college students were asked how much money they spent on textbooks for the current semester. Their responses are shown in the following stemplot. Describe a procedure for identifying potential outliers, and use the procedure to decide whether there are outliers among the responses for the money spent on textbooks. Based on the stemplot, write a few sentences describing the distribution of money spent on textbooks for the 34 students. One of the students spent $160 on books for the semester. If that value had been $260 instead, what effect would that increase have on the following statistics? Justify your answers. The mean The medianarrow_forwardBerkeley College students have been surveyed to determine if they prefer to work in groups or individually for projects. There are 4 students who prefer to work in groups for every 5 students who prefer to work individually. If there were 2,200 students who prefer to work in groups, how many students were surveyed in total?arrow_forward
- The manager at a small grocery store is considering whether to start selling bags of apples or oranges. He asked 50 shoppers whether they prefer apples or oranges and whether they would prefer to buy that fruit individually or in a bag. This table shows the results. Individually In a bag Total Apples 21 11 32 Oranges 8 10 18 Total 29 21 50 Based on the survey, there is an association between the two preferences. Complete the paragraph to describe this association. of the shoppers who prefer apples, about would prefer to buy the fruit in a bag. Of the shoppers who prefer oranges, about prefer to buy the fruit in a bag. So, buying the fruit in a bag is more appealing to the shoppers who prefer wouldarrow_forwardYou want to find out the top three food items sold in your school cafeteria. Select the best way to generate a list of this data. Survey the students in your math class. Gather data about the number of sales of each food item from the cashier. Interview all the teachers about what they consider to be the top food item. Ask 10% of the students in each grade to tell you their choice for the top food item.arrow_forwardThe table shows the results of a survey about students' preferred frozen yogurt flavor. Complete the table, and state the flavors that students preferred the most and the least. Lunch Fruit Gender Vanlla Mint Strawberry Total Girl 15 19 45 Boy 17 27 Total 100 Students preferred (select) v the most and (select) vthe least.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Probability & Statistics (28 of 62) Basic Definitions and Symbols Summarized; Author: Michel van Biezen;https://www.youtube.com/watch?v=21V9WBJLAL8;License: Standard YouTube License, CC-BY
Introduction to Probability, Basic Overview - Sample Space, & Tree Diagrams; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=SkidyDQuupA;License: Standard YouTube License, CC-BY