Connect Math hosted by ALEKS Access Card 52 Weeks for Math in Our World
3rd Edition
ISBN: 9781259232848
Author: David Sobecki, Allan Bluman
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 13.2, Problem 20E
The Association of Self-Employed Working Persons is picking a speaker for its next meeting. The choices for a topic are health care (H), investments (I), or advertising (A). The results of the election are shown in the preference table.
Using the plurality-with-elimination method of voting, determine the winner.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The managers of Prints Alive (a local silk-screening business) are planning a party for their 30 employees. There are three possible locations for the party: the warehouse (W), the park (P), or the beach (B). The employees are asked to rank these choices in order of preference, and the results are summarized in the table. Use the instant runoff method to determine the winner.
the parkthe beach the warehouse
Number of Ballots Cast
2
12
13
3
1st choice
P
P
B
W
2nd choice
B
W
W
B
3rd choice
W
B
P
P
The university administration has asked a group of student leaders to vote on the aspects of college life to target for improvement over the next year. The choices were (H)ousing, (L)ibrary, (T)heater, and (F)itness center. The votes are summarized in the preference table.
The students in a class get to decide on the color of the classroom. The two choices are blue and yellow. Polling shows yellow is preferred by a small
majority, 53% for yellow to 47% for blue. However, before the vote is held, a new color choice is added: red. Not a lot of people like red, but there are
some yellow supporters who would actually vote for red. The results of the vote are below.
Blue
Yellow
Red
46%
44%
10%
What statement below is correct about adding a third choice to the plurality vote?
O a
Ob
Oc
d
Red did not win the vote, but it draws enough support away from yellow to make blue the winner, even though a majority of
students preferred yellow over blue when there were two choices.
Red did not win the vote, but it had no effect on drawing enough support away from yellow to make blue the winner, even though
a majority of students preferred yellow over blue when there were two choices.
Red did not win the vote, so because of this, yellow should win the vote over blue.…
Chapter 13 Solutions
Connect Math hosted by ALEKS Access Card 52 Weeks for Math in Our World
Ch. 13.1 - The Student Activities Committee at Camden College...Ch. 13.1 - An election was held for the chairperson of the...Ch. 13.1 - Prob. 3TTOCh. 13.1 - Prob. 1ECh. 13.1 - Prob. 2ECh. 13.1 - Prob. 3ECh. 13.1 - Explain the head-to head comparison criterion.Ch. 13.1 - Prob. 5ECh. 13.1 - Prob. 6ECh. 13.1 - Prob. 7E
Ch. 13.1 - Prob. 8ECh. 13.1 - Prob. 9ECh. 13.1 - Prob. 10ECh. 13.1 - Prob. 11ECh. 13.1 - Prob. 12ECh. 13.1 - Using the election results given in Exercise 9,...Ch. 13.1 - Prob. 14ECh. 13.1 - Prob. 15ECh. 13.1 - Using the election results given in Exercise 12,...Ch. 13.1 - Using the Internet as a resource, look up the...Ch. 13.1 - Suppose that an election has seven candidates, and...Ch. 13.1 - Prob. 19ECh. 13.1 - Prob. 20ECh. 13.1 - Prob. 21ECh. 13.1 - Prob. 22ECh. 13.1 - Prob. 23ECh. 13.1 - Prob. 24ECh. 13.1 - Prob. 25ECh. 13.1 - Prob. 26ECh. 13.2 - Prob. 1TTOCh. 13.2 - Prob. 2TTOCh. 13.2 - Prob. 3TTOCh. 13.2 - If the one voter who listed softball last in the...Ch. 13.2 - Prob. 1ECh. 13.2 - Prob. 2ECh. 13.2 - Prob. 3ECh. 13.2 - Prob. 4ECh. 13.2 - Prob. 5ECh. 13.2 - Can a candidate that gets the least first-place...Ch. 13.2 - A gaming club holds a vote to decide what type of...Ch. 13.2 - The McKees Point Yacht Club Board of Directors...Ch. 13.2 - Prob. 9ECh. 13.2 - A local police union is holding an election for a...Ch. 13.2 - Students at a college were asked to rank three...Ch. 13.2 - Prob. 12ECh. 13.2 - Prob. 13ECh. 13.2 - Prob. 14ECh. 13.2 - Prob. 15ECh. 13.2 - Prob. 16ECh. 13.2 - Prob. 17ECh. 13.2 - Does the election in Exercise 12 violate the...Ch. 13.2 - An English department is voting for a new...Ch. 13.2 - The Association of Self-Employed Working Persons...Ch. 13.2 - Prob. 21ECh. 13.2 - Prob. 22ECh. 13.2 - Suppose that all 4 voters from the last column of...Ch. 13.2 - Suppose that 2 of the 4 voters from the second...Ch. 13.2 - If 2 of the voters from column 1 in Exercise 21...Ch. 13.2 - If the 3 voters in column 4 in Exercise 22 change...Ch. 13.2 - Construct a preference table for an election...Ch. 13.2 - Construct a preference table for an election...Ch. 13.2 - Construct a preference table for an election so...Ch. 13.2 - If the candidates on a preference ballot are...Ch. 13.2 - If the candidates on a preference ballot are...Ch. 13.2 - In an election with four candidates, how many...Ch. 13.2 - Based on your answers to Exercise 32, explain why...Ch. 13.2 - One way to avoid the issue described in Exercises...Ch. 13.2 - Lets talk about a modified Borda count method....Ch. 13.3 - Prob. 1TTOCh. 13.3 - Prob. 2TTOCh. 13.3 - Does the election in Try This One 2 violate the...Ch. 13.3 - Prob. 4TTOCh. 13.3 - Explain how to determine the winner of an election...Ch. 13.3 - Prob. 2ECh. 13.3 - Describe Arrows impossibility theorem. How is it...Ch. 13.3 - Prob. 4ECh. 13.3 - Prob. 5ECh. 13.3 - Which of the five voting methods we studied do you...Ch. 13.3 - If all of the voters in an approval voting...Ch. 13.3 - Fill in the table below, which summarizes our five...Ch. 13.3 - Prob. 9ECh. 13.3 - Prob. 10ECh. 13.3 - Prob. 11ECh. 13.3 - Prob. 12ECh. 13.3 - Prob. 13ECh. 13.3 - Prob. 14ECh. 13.3 - Prob. 15ECh. 13.3 - Prob. 16ECh. 13.3 - The McKees Point Yacht Club Board of Directors...Ch. 13.3 - The students in Dr. Lees math class are asked to...Ch. 13.3 - If Professor Donovan was unable to serve as...Ch. 13.3 - If the travel company from Exercise 14 loses its...Ch. 13.3 - If the West Oak Golf Club is unavailable and the...Ch. 13.3 - If a room for Dr. Lees final exam was not...Ch. 13.3 - A sports committee of students needs to choose a...Ch. 13.3 - Prob. 24ECh. 13.3 - Prob. 25ECh. 13.3 - Prob. 26ECh. 13.3 - Prob. 27ECh. 13.3 - Prob. 28ECh. 13.3 - Prob. 29ECh. 13.3 - Construct a preference table so that one candidate...Ch. 13.3 - Prob. 31ECh. 13.3 - Prob. 32ECh. 13.3 - Prob. 33ECh. 13.3 - Evaluate each voting method we studied if there...Ch. 13.3 - Suppose that in an election for city council,...Ch. 13.3 - Prob. 36ECh. 13.3 - Devise a method for breaking ties when using...Ch. 13.3 - Prob. 38ECh. 13.4 - Prob. 1TTOCh. 13.4 - Prob. 2TTOCh. 13.4 - Prob. 3TTOCh. 13.4 - Prob. 4TTOCh. 13.4 - Prob. 5TTOCh. 13.4 - Assign the 30 seats from Try This One 5 using...Ch. 13.4 - Prob. 7TTOCh. 13.4 - Prob. 8TTOCh. 13.4 - Prob. 1ECh. 13.4 - Prob. 2ECh. 13.4 - Prob. 3ECh. 13.4 - Describe how to find the upper and lower quotas...Ch. 13.4 - Prob. 5ECh. 13.4 - Prob. 6ECh. 13.4 - Prob. 7ECh. 13.4 - Prob. 8ECh. 13.4 - Prob. 9ECh. 13.4 - Prob. 10ECh. 13.4 - In Exercises 912, find the standard divisor for...Ch. 13.4 - Prob. 12ECh. 13.4 - Prob. 13ECh. 13.4 - Prob. 14ECh. 13.4 - Prob. 15ECh. 13.4 - Prob. 16ECh. 13.4 - Prob. 17ECh. 13.4 - Prob. 18ECh. 13.4 - Prob. 19ECh. 13.4 - Prob. 20ECh. 13.4 - Prob. 21ECh. 13.4 - Prob. 22ECh. 13.4 - Prob. 23ECh. 13.4 - Prob. 24ECh. 13.4 - Prob. 25ECh. 13.4 - For Exercises 2628 find: (a)The standard divisor....Ch. 13.4 - Prob. 27ECh. 13.4 - Prob. 28ECh. 13.4 - Prob. 29ECh. 13.4 - Prob. 30ECh. 13.4 - Prob. 31ECh. 13.4 - Prob. 32ECh. 13.4 - Prob. 33ECh. 13.4 - Prob. 34ECh. 13.4 - Prob. 35ECh. 13.4 - Prob. 36ECh. 13.4 - Prob. 37ECh. 13.4 - Prob. 38ECh. 13.4 - Prob. 39ECh. 13.4 - Prob. 40ECh. 13.4 - Prob. 41ECh. 13.4 - Prob. 42ECh. 13.4 - Prob. 43ECh. 13.5 - A large company decided to donate 17 computers to...Ch. 13.5 - Prob. 2TTOCh. 13.5 - Prob. 3TTOCh. 13.5 - Prob. 1ECh. 13.5 - Prob. 2ECh. 13.5 - Prob. 3ECh. 13.5 - Prob. 4ECh. 13.5 - What is the quota rule? Which apportionment...Ch. 13.5 - Prob. 6ECh. 13.5 - Prob. 7ECh. 13.5 - Prob. 8ECh. 13.5 - Prob. 9ECh. 13.5 - Prob. 10ECh. 13.5 - Prob. 11ECh. 13.5 - Prob. 12ECh. 13.5 - The table shows the enrollment at two campuses of...Ch. 13.5 - Prob. 14ECh. 13.5 - Prob. 15ECh. 13.5 - Prob. 16ECh. 13.5 - Write an essay explaining why many people feel...Ch. 13 - Use this information for Exercises 14: the...Ch. 13 - Use this information for Exercises 14: the...Ch. 13 - Use this information for Exercises 14: the...Ch. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Prob. 6RECh. 13 - Prob. 7RECh. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Prob. 11RECh. 13 - Prob. 12RECh. 13 - Prob. 13RECh. 13 - Prob. 14RECh. 13 - Use this information for Exercises 917: a large...Ch. 13 - Prob. 16RECh. 13 - Use this information for Exercises 917: a large...Ch. 13 - Prob. 18RECh. 13 - Prob. 19RECh. 13 - Prob. 20RECh. 13 - Prob. 21RECh. 13 - Prob. 22RECh. 13 - Prob. 23RECh. 13 - Prob. 24RECh. 13 - Prob. 25RECh. 13 - Prob. 26RECh. 13 - Prob. 27RECh. 13 - Prob. 28RECh. 13 - Prob. 29RECh. 13 - A community college bought 15 laptop computers to...Ch. 13 - Prob. 31RECh. 13 - Prob. 32RECh. 13 - Prob. 33RECh. 13 - Prob. 34RECh. 13 - Prob. 35RECh. 13 - Repeat exercise 30 using the Huntington-Hill...Ch. 13 - Prob. 37RECh. 13 - Prob. 38RECh. 13 - Prob. 39RECh. 13 - Prob. 40RECh. 13 - Prob. 41RECh. 13 - Prob. 42RECh. 13 - Prob. 43RECh. 13 - Prob. 1CTCh. 13 - Prob. 2CTCh. 13 - Prob. 3CTCh. 13 - Prob. 4CTCh. 13 - Prob. 5CTCh. 13 - Prob. 6CTCh. 13 - Prob. 7CTCh. 13 - Prob. 8CTCh. 13 - Use this information for Exercises 512: a small...Ch. 13 - Prob. 10CTCh. 13 - Prob. 11CTCh. 13 - Prob. 12CTCh. 13 - Prob. 13CTCh. 13 - An airline offers nonstop flights from Fort...Ch. 13 - Prob. 15CTCh. 13 - Repeat Problem 14 using Websters method.Ch. 13 - Repeat Problem 14 using the Huntington-Hill...Ch. 13 - Prob. 18CTCh. 13 - Prob. 19CTCh. 13 - Prob. 20CTCh. 13 - Prob. 21CT
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
- Two hundred consumers were surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table.arrow_forwardConsider the scenario of three candidates, A, B, and C, who are running for president of the student council. Determine the winner using the pairwise comparison method. Number of Votes 50 65 60 First Choice A C C Second Choice A Third Choice C B The winner isarrow_forwardFive candidates, Ruben, Bong, Angel, Louie and Melvin were nominated for president in the College Student Council. After the polls close, ranked ballots were tallied, and the results are summarized below. Determine the winner and what percent of the votes did the winner receive? Rankings Ruben 1 2 5 5 2 3 4 Bong 2 3 2 4 3 2 5 Angel 4 4 1 2 1 1 3 Louie 3 1 3 3 4 5 2 Melvin 5 5 4 1 5 4 1 Number of votes 10 7 12 16 11 4 10arrow_forward
- After the premiere of the new comedy Bumblebee, moviegoers were asked in a quick poll whether they liked the movie. Out of 50 adults, 35 said they liked the movie, whereas out of 25 teenagers, 20 said they liked the movie. Fill in the blanks below to make the most reasonable statement possible. At the movie premiere, ▼(Choose one) moviegoers liked the movie more. That is because only % disliked the movie, whereas % of the ▼(Choose one) moviegoers disliked the movie.arrow_forwardThree candidates-Allred, Stiggins, and Mercer-ran for a seat on the city council. Polls indicate that the preference rankings and approvals of the candidates from the voters were as follows: Percentage of Voters 21 Allred Stiggins Mercer 15 32 3X 1 X 2 X 8 24 1 1 X 2 3 2X 1X 3 3 2 X 1X Who is the winner using the Approval method? (Show vote totals)arrow_forwardMr. Abdul Rheman's class held an election for class president. Instead of just voting for one candidate, students need to rank all the candidates according to their preference. The results are shown below: Rankings X 3 2 1 3 1 Y 2 2 1 3 1 3 1 2 Number of 8 7 8 6 7 Students If you will use Borda Count Method, wherein the assigned points for 1st, 2nd and 3rd place are 3pts, 2pt, and 1pt respectively, who will be the class president of Mr. Abdul Rheman and by how much points?arrow_forward
- After the premiere of the new comedy Bumblebee, moviegoers were asked in a quick poll whether they liked the movie. Out of 100 adults, 65 said they liked the movie, whereas out of 20 teenagers, 14 said they liked the movie. Fill in the blanks below to make the most reasonable statement possible. At the movie premiere, (Choose one) ▼moviegoers liked the movie more. That is because only % disliked the movie, whereas % of the (Choose one) v moviegoers disliked the movie.arrow_forwardThe city of Wonderland has 12000 registered voters. There are two candidates for city council in an upcoming election: Misty and Pikachu. The day before the election, a telephone poll of 350 randomly selected registered voters was conducted. 113 said they'd vote for Misty, 216 said they'd vote for Pikachu, and 21 were undecided. (a) Find the statistic for the proportion of voters surveyed who said they'd vote for Misty. Answer as a fraction or decimal, rounded to 4 places if necessary. (b) Fill in the blank below. The statistic above suggests that we could expect of the 12000 registered voters to vote for Misty.arrow_forwardConsider the scenario of three candidates, A, B, and C, who are running for president of the student council. Determine the winner using the Borda count method. Number of Votes 50 65 60 First Choice ACC Second Choice BBA Third Choice CAB The winner is The winner received points.arrow_forward
- After the premiere of the new comedy Bumblebee, moviegoers were asked in a quick poll whether they liked the movie. Out of 100 adults, all but 21 said they liked the movie, whereas out of 50 teenagers, all but 16 said they liked the movie. Fill in the blanks below to make the most reasonable statement possible. At the movie premiere, ▼(Choose one) moviegoers liked the movie less. That is because only % liked the movie, whereas % of the ▼(Choose one) moviegoers liked the movie.arrow_forwardAfter the premiere of the new comedy Bumblebee, moviegoers were asked in a quick poll whether they liked the movie. Out of 20 adults, 15 said they liked the movie, whereas out of 50 teenagers, 32 said they liked the movie. Fill in the blanks below to make the most reasonable statement possible. At the movie premiere, ▼(Choose one) moviegoers liked the movie more. That is because % liked the movie, whereas only % of the ▼(Choose one) moviegoers liked the movie.arrow_forwardStudents at your college are given the option of choosing a (4) topic for which a speaker will be selected. Students are asked to rank three topics: Technology (T), Environmental Issues (E), and Terrorism in the Name of Religion (R). The results of the election are shown in the following preference table. Number of Votes 70 30 10 5 First Choice R T T E Second Choice E R E T Third Choice T E R R a. How many students voted? b. How many students selected the topics in this order: T, E, R? How many students selected technology as their first choice for a speaker's topic? d. How many students selected environmental issues as their second choice for a speaker's topic?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill Education
Mathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSON
Discrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,
Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education
Discrete Mathematics and Its Applications ( 8th I...
Math
ISBN:9781259676512
Author:Kenneth H Rosen
Publisher:McGraw-Hill Education
Mathematics for Elementary Teachers with Activiti...
Math
ISBN:9780134392790
Author:Beckmann, Sybilla
Publisher:PEARSON
Thinking Mathematically (7th Edition)
Math
ISBN:9780134683713
Author:Robert F. Blitzer
Publisher:PEARSON
Discrete Mathematics With Applications
Math
ISBN:9781337694193
Author:EPP, Susanna S.
Publisher:Cengage Learning,
Pathways To Math Literacy (looseleaf)
Math
ISBN:9781259985607
Author:David Sobecki Professor, Brian A. Mercer
Publisher:McGraw-Hill Education
Finite Math: Markov Chain Example - The Gambler's Ruin; Author: Brandon Foltz;https://www.youtube.com/watch?v=afIhgiHVnj0;License: Standard YouTube License, CC-BY
Introduction: MARKOV PROCESS And MARKOV CHAINS // Short Lecture // Linear Algebra; Author: AfterMath;https://www.youtube.com/watch?v=qK-PUTuUSpw;License: Standard Youtube License
Stochastic process and Markov Chain Model | Transition Probability Matrix (TPM); Author: Dr. Harish Garg;https://www.youtube.com/watch?v=sb4jo4P4ZLI;License: Standard YouTube License, CC-BY