MATH IN OUR WORLD (LOOSELEAF)-W/ACCESS
3rd Edition
ISBN: 9781259969690
Author: sobecki
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 12.1, Problem 8E
(a)
To determine
To make: The total number of people voted.
(b)
To determine
To find: The number of people voted for the candidates in the order of preference CLS.
(c)
To determine
To find: The number of people who voted for the candidate L as their first choice.
To determine
(d)
To determine: The winner of the election using the plurality method.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The Rosetown community association plans to meet once each month. The association members are deciding what day of the week to meet by holding a vote.
The choices are Monday (M), Tuesday (T), and Friday (F). Instead of voting for only one day, each member ranks the three days in order of preference. Each
member's ballot gives the member's first, second, and third choice for a monthly meeting day. Here are the ballots submitted.
Baliot 1
Ballot 2
Ballot 3
Ballot 4
Ballot 5
Ballot 6
Balot 7
Ballot 8
Ballot 9
1st
M.
14
M
F.
M.
1st
2n
2n
2nd
2nd
M
M
T.
2nd
2
2nd
2nd
2nd
M.
3rd
3rd
3rd
F
3rd
3rd
M
3rd
3rd
M.
3rd
Ballot 10
Ballot 11
Ballot 12
Ballot 13
Balot 14
Ballot 15
Ballot 16
1st
F
M
1st
T.
M
14
2nd
T.
2nd
T.
2nd
2ne
20
2n M
2nd
F
M
3rd
M
3rd
3rd
M
3rd
3
3rd
Construct a preference table to summarize the ballots. You can add or remove columns in the table as needed. Note: The individual ballots above will highlight
when clicked. (Highlighting the ballots can help you with your…
Three players (A, B, and C) are dividing the array of 12 items shown below using the method of markers. The three players bids are as indicated in the figure.
Indicate which player gets each item.
Item 1
Item 2
Item 3
Item 4
Item 5
Item 6
Item 7
Item 8
Item 9
Item 10
Item 11
Item 12
Choose...
Choose...
Choose...
Choose...
Choose...
Choose...
Choose...
Choose...
Choose...
Choose...
4
Choose... ♦
Choose...
7
B₂
8 9 10
C₂
A₂
/२
After grading the take-home assignments, Mr. Montes randomly selects 5 take-home assignments to analyze. He considers the student’s responses to the three multiple choice questions, which are as shown.
Student 1: {C, A, C} Student 2: {C, B, B} Student 3: {C, B, C} Student 4: {C, B, A} Student 5: {C, A, A}
7. The correct responses for the multiple choice questions are, in order, C, B, and A. If Set 1 represents the subset of these students who answered C for number 1, Set 2 represents the subset of these students who answered B for number 2, and Set 3 represents the subset of students who answered A for number 3, find each of the following. Explain what each notation means in context of this scenario.
a. Set 1 ∩ Set 2
b. Set 2 ∪ Set 3
c. The complement of Set 1
8. Amisha was too tired to work on the take home assignment Mr. Montes gave her, so she randomly selected answers without reading any of the questions. Suppose that you wanted to find the odds that Amisha answered at least…
Chapter 12 Solutions
MATH IN OUR WORLD (LOOSELEAF)-W/ACCESS
Ch. 12.1 - The Student Activities Committee at Camden College...Ch. 12.1 - An election was held for the chairperson of the...Ch. 12.1 - Prob. 3TTOCh. 12.1 - Prob. 4TTOCh. 12.1 - Prob. 1ECh. 12.1 - Prob. 2ECh. 12.1 - Prob. 3ECh. 12.1 - Explain the head-to head comparison criterion.Ch. 12.1 - 5. What is a fairness criterion for an election?
Ch. 12.1 - Prob. 6E
Ch. 12.1 - Prob. 7ECh. 12.1 - Prob. 8ECh. 12.1 - Prob. 9ECh. 12.1 - Prob. 10ECh. 12.1 - Prob. 11ECh. 12.1 - Prob. 12ECh. 12.1 - Prob. 13ECh. 12.1 - Prob. 14ECh. 12.1 - Prob. 15ECh. 12.1 - For Exercises 15–18, rewrite the preference table...Ch. 12.1 - Prob. 17ECh. 12.1 - Prob. 18ECh. 12.1 - Using the election results given in Exercise 9,...Ch. 12.1 - 20. Using the election results given in Exercise...Ch. 12.1 - Prob. 21ECh. 12.1 - Prob. 22ECh. 12.1 - Using the Internet as a resource, look up the...Ch. 12.1 - Suppose that an election has seven candidates, and...Ch. 12.1 - Prob. 25ECh. 12.1 - Prob. 26ECh. 12.1 - Prob. 27ECh. 12.1 - Prob. 28ECh. 12.1 - Prob. 29ECh. 12.1 - Prob. 30ECh. 12.1 - Prob. 31ECh. 12.1 - Prob. 32ECh. 12.2 - Prob. 1TTOCh. 12.2 - Prob. 2TTOCh. 12.2 - Prob. 3TTOCh. 12.2 - If the one voter who listed softball last in the...Ch. 12.2 - Prob. 1ECh. 12.2 - Prob. 2ECh. 12.2 - Prob. 3ECh. 12.2 - Prob. 4ECh. 12.2 - Prob. 5ECh. 12.2 - Can a candidate that gets the least first-place...Ch. 12.2 - A gaming club holds a vote to decide what type of...Ch. 12.2 - The McKees Point Yacht Club Board of Directors...Ch. 12.2 - Prob. 9ECh. 12.2 - A local police union is holding an election for a...Ch. 12.2 - Students at a college were asked to rank three...Ch. 12.2 - Prob. 12ECh. 12.2 - Prob. 13ECh. 12.2 - Prob. 14ECh. 12.2 - Prob. 15ECh. 12.2 - Prob. 16ECh. 12.2 - Prob. 17ECh. 12.2 - Does the election in Exercise 12 violate the...Ch. 12.2 - An English department is voting for a new...Ch. 12.2 - The Association of Self-Employed Working Persons...Ch. 12.2 - Prob. 21ECh. 12.2 - Prob. 22ECh. 12.2 - Suppose that all 4 voters from the last column of...Ch. 12.2 - Suppose that 2 of the 4 voters from the second...Ch. 12.2 - If 2 of the voters from column 1 in Exercise 21...Ch. 12.2 - If the 3 voters in column 4 in Exercise 22 change...Ch. 12.2 - Construct a preference table for an election...Ch. 12.2 - Construct a preference table for an election...Ch. 12.2 - Construct a preference table for an election so...Ch. 12.2 - If the candidates on a preference ballot are...Ch. 12.2 - If the candidates on a preference ballot are...Ch. 12.2 - In an election with four candidates, how many...Ch. 12.2 - Based on your answers to Exercise 32, explain why...Ch. 12.2 - One way to avoid the issue described in Exercises...Ch. 12.2 - Lets talk about a modified Borda count method....Ch. 12.3 - Prob. 1TTOCh. 12.3 - Prob. 2TTOCh. 12.3 - Does the election in Try This One 2 violate the...Ch. 12.3 - Prob. 4TTOCh. 12.3 - Explain how to determine the winner of an election...Ch. 12.3 - Prob. 2ECh. 12.3 - Describe Arrows impossibility theorem. How is it...Ch. 12.3 - Prob. 4ECh. 12.3 - Prob. 5ECh. 12.3 - Which of the five voting methods we studied do you...Ch. 12.3 - If all of the voters in an approval voting...Ch. 12.3 - Fill in the table below, which summarizes our five...Ch. 12.3 - Prob. 9ECh. 12.3 - Prob. 10ECh. 12.3 - Prob. 11ECh. 12.3 - Prob. 12ECh. 12.3 - Prob. 13ECh. 12.3 - Prob. 14ECh. 12.3 - Prob. 15ECh. 12.3 - Prob. 16ECh. 12.3 - The McKees Point Yacht Club Board of Directors...Ch. 12.3 - The students in Dr. Lees math class are asked to...Ch. 12.3 - If Professor Donovan was unable to serve as...Ch. 12.3 - If the travel company from Exercise 14 loses its...Ch. 12.3 - If the West Oak Golf Club is unavailable and the...Ch. 12.3 - If a room for Dr. Lees final exam was not...Ch. 12.3 - A sports committee of students needs to choose a...Ch. 12.3 - Prob. 24ECh. 12.3 - Prob. 25ECh. 12.3 - Prob. 26ECh. 12.3 - Prob. 27ECh. 12.3 - Prob. 28ECh. 12.3 - Prob. 29ECh. 12.3 - Construct a preference table so that one candidate...Ch. 12.3 - Prob. 31ECh. 12.3 - Prob. 32ECh. 12.3 - Prob. 33ECh. 12.3 - Evaluate each voting method we studied if there...Ch. 12.3 - Suppose that in an election for city council,...Ch. 12.3 - Prob. 36ECh. 12.3 - Devise a method for breaking ties when using...Ch. 12.3 - Prob. 38ECh. 12.4 - Prob. 1TTOCh. 12.4 - Prob. 2TTOCh. 12.4 - Prob. 3TTOCh. 12.4 - Prob. 4TTOCh. 12.4 - Prob. 5TTOCh. 12.4 - Assign the 30 seats from Try This One 5 using...Ch. 12.4 - Prob. 7TTOCh. 12.4 - Prob. 8TTOCh. 12.4 - Prob. 1ECh. 12.4 - Prob. 2ECh. 12.4 - Prob. 3ECh. 12.4 - Describe how to find the upper and lower quotas...Ch. 12.4 - Prob. 5ECh. 12.4 - Prob. 6ECh. 12.4 - Prob. 7ECh. 12.4 - Prob. 8ECh. 12.4 - Prob. 9ECh. 12.4 - Prob. 10ECh. 12.4 - In Exercises 912, find the standard divisor for...Ch. 12.4 - Prob. 12ECh. 12.4 - Prob. 13ECh. 12.4 - Prob. 14ECh. 12.4 - Prob. 15ECh. 12.4 - Prob. 16ECh. 12.4 - Prob. 17ECh. 12.4 - Prob. 18ECh. 12.4 - Prob. 19ECh. 12.4 - Prob. 20ECh. 12.4 - Prob. 21ECh. 12.4 - Prob. 22ECh. 12.4 - Prob. 23ECh. 12.4 - Prob. 24ECh. 12.4 - Prob. 25ECh. 12.4 - For Exercises 2628 find: (a)The standard divisor....Ch. 12.4 - Prob. 27ECh. 12.4 - Prob. 28ECh. 12.4 - Prob. 29ECh. 12.4 - Prob. 30ECh. 12.4 - Prob. 31ECh. 12.4 - Prob. 32ECh. 12.4 - Prob. 33ECh. 12.4 - Prob. 34ECh. 12.4 - Prob. 35ECh. 12.4 - Prob. 36ECh. 12.4 - Prob. 37ECh. 12.4 - Prob. 38ECh. 12.4 - Prob. 39ECh. 12.4 - Prob. 40ECh. 12.4 - Prob. 41ECh. 12.4 - Prob. 42ECh. 12.4 - Prob. 43ECh. 12.5 - Prob. 1TTOCh. 12.5 - Try This One 2
A county with three districts has...Ch. 12.5 - Prob. 3TTOCh. 12.5 - Prob. 1ECh. 12.5 - Prob. 2ECh. 12.5 - Prob. 3ECh. 12.5 - Prob. 4ECh. 12.5 - What is the quota rule? Which apportionment...Ch. 12.5 - Prob. 6ECh. 12.5 - Prob. 7ECh. 12.5 - Prob. 8ECh. 12.5 - Prob. 9ECh. 12.5 - Prob. 10ECh. 12.5 - Prob. 11ECh. 12.5 - Prob. 12ECh. 12.5 - The table shows the enrollment at two campuses of...Ch. 12.5 - Prob. 14ECh. 12.5 - Prob. 15ECh. 12.5 - Prob. 16ECh. 12.5 - Write an essay explaining why many people feel...Ch. 12.5 - 18. Which do you think is more serious: violating...Ch. 12 - Use this information for Exercises 14: the...Ch. 12 - Use this information for Exercises 14: the...Ch. 12 - Use this information for Exercises 14: the...Ch. 12 - Prob. 4RECh. 12 - Prob. 5RECh. 12 - Prob. 6RECh. 12 - Prob. 7RECh. 12 - Prob. 8RECh. 12 - Prob. 9RECh. 12 - Prob. 10RECh. 12 - Prob. 11RECh. 12 - Prob. 12RECh. 12 - Prob. 13RECh. 12 - Prob. 14RECh. 12 - Use this information for Exercises 917: a large...Ch. 12 - Prob. 16RECh. 12 - Use this information for Exercises 917: a large...Ch. 12 - Prob. 18RECh. 12 - Prob. 19RECh. 12 - Prob. 20RECh. 12 - Prob. 21RECh. 12 - Prob. 22RECh. 12 - Prob. 23RECh. 12 - Prob. 24RECh. 12 - Prob. 25RECh. 12 - Prob. 26RECh. 12 - Prob. 27RECh. 12 - Prob. 28RECh. 12 - Prob. 29RECh. 12 - A community college bought 15 laptop computers to...Ch. 12 - Prob. 31RECh. 12 - Prob. 32RECh. 12 - Prob. 33RECh. 12 - Prob. 34RECh. 12 - Prob. 35RECh. 12 - Repeat exercise 30 using the Huntington-Hill...Ch. 12 - Prob. 37RECh. 12 - Prob. 38RECh. 12 - Prob. 39RECh. 12 - Prob. 40RECh. 12 - Prob. 41RECh. 12 - Prob. 42RECh. 12 - Prob. 43RECh. 12 - Prob. 1CTCh. 12 - Prob. 2CTCh. 12 - Prob. 3CTCh. 12 - Prob. 4CTCh. 12 - Prob. 5CTCh. 12 - Prob. 6CTCh. 12 - Prob. 7CTCh. 12 - Prob. 8CTCh. 12 - Use this information for Exercises 512: a small...Ch. 12 - Prob. 10CTCh. 12 - Prob. 11CTCh. 12 - Prob. 12CTCh. 12 - Prob. 13CTCh. 12 - An airline offers nonstop flights from Fort...Ch. 12 - Prob. 15CTCh. 12 - Repeat Problem 14 using Websters method.Ch. 12 - Repeat Problem 14 using the Huntington-Hill...Ch. 12 - Prob. 18CTCh. 12 - Prob. 19CTCh. 12 - Prob. 20CTCh. 12 - 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
- Three candidates, A, B, and C, are running for mayor of a small town. The results of the election are shown in the following preference table. Number of Votes 1200 900 900 600 First Choice C Second Choice C Third Choice C B A C How many people voted in the election?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_forwardThe Flintstones Mr. Slate from the Bedrock Quarrel and Gravel Company decides in is time to clean house, so he puts up several items up for bid. He decides to use the sealed bid method and open the process to Fred and Wilma Flintstone and Barney and Betty Rubble. Each party places a bid on each of the items. The table below shows the bids on each item. Betty $45 Fred Wilma Barney Item 1 $75 $58 $25 Item 2 $30 $65 $70 $80 $40 $55 $60 $30 $55 $80 Item 3 Item 4 $20 $70 Item 5 $45 $35 $50 $45 I need to find out this asvwers Based on the information in the chart determine which person gets which item along with any cash payouts. Show how you reached your decision and explain how it is an equitable solution to the problem.arrow_forward
- The competition for best team is between mustangs , Avengers,and Falcons . The voting results by preference are shown Maf:6 MFA: 10 AFM:3 AMF:11 FMA:8 Fam: 12. Which team wins based on hare method .arrow_forwardA senior high school class held an election for class president. Instead of just voting for one candidate, the students were asked to rank all four candidates in order of preference. The results are shown in the table below. Rankings Raymond Lee 2 3 1 3 4 2 Suzanne Brewer 4 1 3 4 1 3 Elaine Garcia 1 2 2 2 3 4 Michael Turley 3 4 4 1 2 1 Number of votes: 16 21 25 15 18 13 Using the Borda Count method, which student should be class president? check the correct one Raymond Lee Suzanne Brewer Elaine Garcia Michael Turleyarrow_forwardThe 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.…arrow_forward
- A senior high school class held an election for class president. Instead of just voting for one candidate, the students were asked to rank all four candidates in order of preference: The results are shown in the table below.arrow_forwardA senior high school class held an election for class president. Instead of just voting for one candidate, the students were asked to rank all four candidates in order of preference. The results are shown in the table below. Rankings Raymond Lee 2 3 1 3 4 2 Suzanne Brewer 4 1 3 4 1 3 Elaine Garcia 1 2 2 2 3 4 Michael Turley 3 4 4 1 2 1 Number of votes: 26 21 22 23 19 24 Using the Borda Count method, which student should be class president? Raymond Lee Suzanne Brewer Elaine Garcia Michael Turleyarrow_forwardThe 1280 students of a high school are having an election for Homecoming King. The candidates are the captain of the football team, the class president, and a member of the marching band. At the football game a week before the election, a pre-election poll was taken of students as they entered the stadium gate. Of the students who attended the game, 227 planned to vote for the football captain, 35 planned to vote for the class president, and 88 planned to vote for the member of the marching band. Complete parts (a) and (b) below. (a) Give the sample statistics estimating the percentage of the vote going to each candidate. Football captain, % Class president, % Marching band member, % (b) A week after this survey, the class president was elected Homecoming King with 53% of the vote, the marching band member got 25% of the vote, and the football captain came in last with 22% of the vote. Find the sampling errors in the survey expressed as percentages. Football captain, % Class president,…arrow_forward
- A senior high school class held an election for class president. Instead of just voting for one candidate, the students were asked to rank all four candidates in order of preference. The results are shown in the table below. Rankings Raymond Lee 2 3 1 3 4 2 Suzanne Brewer 4 1 3 4 1 3 Elaine Garcia 1 2 2 2 3 4 Michael Turley 3 4 4 1 2 1 Number of votes: 12 21 17 26 18 16 Using the Borda Count method, which student should be class president?arrow_forwardThe 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 Parrow_forwardYou are picking 7 people out of 25 total. How many ways are there to do this if... (a) ...seating order matters? (b) ...seating order does not matter?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
12. Searching and Sorting; Author: MIT OpenCourseWare;https://www.youtube.com/watch?v=6LOwPhPDwVc;License: Standard YouTube License, CC-BY
Algorithms and Data Structures - Full Course for Beginners from Treehouse; Author: freeCodeCamp.org;https://www.youtube.com/watch?v=8hly31xKli0;License: Standard Youtube License