EBK EXCURSIONS IN MODERN MATHEMATICS
9th Edition
ISBN: 8220103632034
Author: Tannenbaum
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 1, Problem 29E
An election was held using the conventional Borda count method. There were four candidates (A, B, C. and D) and 110 voters. When the points were tallied(using
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
An election is over and a new student body president has been elected. The new president received 3 votes for every vote received by his opponent. The new president received 2166 votes. How many votes did his opponent receive?
Each student has a mathematics requirement (to take at least one mathematics course) and a Science requirement (to take at least one science course). A poll of 140 students show that: 60 completed math, 45 completed science, 20 completed both. Find the number of students that neither completed the requirement.
The art club had an election to select a president. 63 out of the 90 members of the art club voted in the election. What percentage of the members voted ?
Chapter 1 Solutions
EBK EXCURSIONS IN MODERN MATHEMATICS
Ch. 1 - Figure 1-8 shows the preference ballots for an...Ch. 1 - Figure 1-9 shows the preference ballots for an...Ch. 1 - An election is held to choose the Chair of the...Ch. 1 - The student body at Eureka High School is having...Ch. 1 - An election is held using the printed-names format...Ch. 1 - Prob. 6ECh. 1 - Prob. 7ECh. 1 - Table 1-30 shows a conventional preference...Ch. 1 - The Demublican Party is holding its annual...Ch. 1 - The Epicurean Society is holding its annual...
Ch. 1 - Table 1-31 shows the preference schedule for an...Ch. 1 - Table 1-32 shows the preference schedule for an...Ch. 1 - Table 1-33 shows the preference schedule for an...Ch. 1 - Table 1-34 shows the preference schedule for an...Ch. 1 - Table 1-35 shows the preference schedule for an...Ch. 1 - Table1-36 shows the preference schedule for an...Ch. 1 - Table 1-25 see Exercise 3 shows the preference...Ch. 1 - Table 1-26 see Exercise 4 shows the preference...Ch. 1 - Table 1-25 see Exercise 3 shows the preference...Ch. 1 - Table 1-26 see Exercise 4 shows the preference...Ch. 1 - Table 1-31see Exercise 11 shows the preference...Ch. 1 - Table 1-32 see Exercise 12 shows the preference...Ch. 1 - Table 1-33 see Exercise 13 shows the preference...Ch. 1 - Table 1-34 Number of voters 6 6 5 4 3 3 1st A B B...Ch. 1 - Table 1-35 Percent of voters 24 23 19 14 11 9 1st...Ch. 1 - Table 1-36 Percent of voters 25 21 15 12 10 9 8...Ch. 1 - The Heisman Award. Table 1-37 shows the results...Ch. 1 - The 2014 AL Cy Young Award. Table 1-38 shows the...Ch. 1 - An election was held using the conventional Borda...Ch. 1 - Imagine that in the voting for the American League...Ch. 1 - Table 1-31 see Exercise 11 shows the preference...Ch. 1 - Table 1-32 see Exercise 12 shows the preference...Ch. 1 - Table1-33 Number of voters 6 5 4 2 2 2 2 1st C A B...Ch. 1 - Table 1-34 See Exercise 14 shows the preference...Ch. 1 - Table1-39_ shows the preference schedule for an...Ch. 1 - Table1-40_ shows the preference schedule for an...Ch. 1 - Table 1-35 see Exercise 15 shows the preference...Ch. 1 - Table 1-36 see Exercise 16 shows the preference...Ch. 1 - Top-Two Instant-Runoff Voting. Exercises 39 and 40...Ch. 1 - Top-Two Instant-Runoff Voting. Exercises 39 and 40...Ch. 1 - Table 1-31 see Exercise 11 shows the preference...Ch. 1 - Table 1-32 See Exercise 12 shows the preference...Ch. 1 - Table 1-33 see Exercise 13 shows the preference...Ch. 1 - Table 1-34 see Exercise 14 shows the preference...Ch. 1 - Table 1-35 see Exercise 15 shows the preference...Ch. 1 - Table 1-36 see Exercise 16 shows the preference...Ch. 1 - Table 1-39 see Exercise 35 shows the preference...Ch. 1 - Table1-40 see Exercise36 shows the preference...Ch. 1 - An election with five candidates A, B. C, D, and E...Ch. 1 - An election with six candidates A, B, C, D, E, and...Ch. 1 - Use Table 1-41 to illustrate why the Borda count...Ch. 1 - Use Table 1-32 to illustrate why the...Ch. 1 - Use Table 1-42 to illustrate why the plurality...Ch. 1 - Use the Math Club election Example 1.10 to...Ch. 1 - Use Table 1-43 to illustrate why the...Ch. 1 - Explain why the method of pair wise comparisons...Ch. 1 - Prob. 57ECh. 1 - Explain why the plurality method satisfies the...Ch. 1 - Explain why the Borda count method satisfies the...Ch. 1 - Explain why the method of pairwise comparisons...Ch. 1 - Two-candidate elections. Explain why when there...Ch. 1 - Alternative version of the Borda count. The...Ch. 1 - Reverse Borda count. Another commonly used...Ch. 1 - The average ranking. The average ranking of a...Ch. 1 - The 2006 Associated Press college football poll....Ch. 1 - The Pareto criterion. The following fairness...Ch. 1 - The 2003-2004 NBA Rookie of the Year vote. Each...Ch. 1 - Top-two IRV is a variation of the...Ch. 1 - The Coombs method. This method is just like the...Ch. 1 - Bucklin voting. This method was used in the early...Ch. 1 - The 2016 NBA MVP vote. The National Basketball...Ch. 1 - The Condorcet loser criterion. If there is a...Ch. 1 - Consider the following fairness criterion: If a...Ch. 1 - Suppose that the following was proposed as a...Ch. 1 - Consider a modified Borda count where a...
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
- Four candidates: Rhea , Charles ,John , and Wilson arerunning four Councilor. After the polls close, votes aretallied and the following results are obtained:Candidate and Number of votes:Rhea - 2,567 Charles - 2,445 John - 5,100 Wilson - 2,365b. How many votes were castsc. Using plurality method of voting which candidate wins?d. Did the winner receive a majority of the votes?arrow_forwardRiverside Elementary school is holding a school-wide election to choose a school color. FIve-Eighths of the votes were blue, 5/9 of the remaining votes were for green, and the remaining 48 votes were red. how many votes were blue? How many votes were for green?arrow_forwardCasey is looking to rent a two-bedroom apartment in one of two towns, Gardiner or Augusta. He randomly selects 100 two-bedroom apartments from both towns and records the area of each apartment. Both towns have a two-bedroom apartment that has an area of 645 square feet. Gardiner: 673, 652, 729, 707, 773, 746, 728, 690, 762, 770, 722, 735, 693, 708, 700, 652, 680, 696, 762, 655, 656, 716, 675, 681, 690, 708, 726, 725, 705, 657, 640, 752, 715, 697, 680, 682, 694, 699, 634, 717, 673, 733, 708, 657, 645, 727, 773, 696, 740, 768, 641, 752, 779, 654, 715, 733, 684, 770, 617, 704, 711, 684, 720, 649, 744, 652, 650, 653, 725, 634, 684, 720, 667, 708, 670, 713, 673, 655, 688, 669, 766, 697, 730, 698, 681, 720, 773, 665, 768, 657, 720, 725, 738, 670, 735, 725, 725, 744, 655, 767 Augusta: 693, 673, 635, 663, 680, 640, 686, 684, 661, 712, 726, 649, 665, 694, 692, 674, 673, 685, 702, 692, 626, 671, 663, 732, 684, 688, 724, 692, 708, 646, 640, 659, 685, 698, 685, 688, 690, 679, 669, 684, 693, 737,…arrow_forward
- 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.…arrow_forwardIn Ms. Noime's math class there are 15 students out of which 4 will be selected to receive a special award. How many selections are there?arrow_forwardIn the Summer Olympics, there were eight runners in the final of the men's 100 meter dash. How many possible outcomes could we have seen on the podium? (The podium honors the first three finishers in an ORDERED fashion. The first-place finishers gets the gold medal, second-place finisher gets the silver medal, and the third-place finisher gets the bronze medal.)arrow_forward
- Mr. 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_forwardUse the Borda method to determine the winner of the election for the school president. There are 4 candidates. They are A, B, C, and D. The school’s clubs voted for the president. They ranked their choices and below is the result. Clubs 1 3 4 Number of Votes 40 25 30 18 First A B C D Second B A D В Third C D Fourth D C A A 1. Assign the poi values to each vote. Fill in the table below. Clubs 1 2 3 4 Number of Votes 40 25 30 18 First (4 pts) A В D Second (3 pts) A D Third (2 pts) D Fourth (1 pt) D C A A 2. Calculate the total points for each candidate. Show how you calculate each candidate's total points. А: В: С: D: 3. Under the Borda method, the winner isarrow_forwardSuppose there are 1000 votes cast in an election between three candidates: Olsen, Tate, and Alverez. The election is to be decided by plurality. After the first 850 votes are counted, the tallies are as follows: Olsen 343 Tate 315 Alverez 192 What is the minimal number of remaining votes Tate needs to be assured of a win?arrow_forward
- There are 6 boys and 6 girls in the finals of a talent contest. A contest is held to pick the top 3 winners in both the boy and girl groups in order of talent. How many different options for winners are there? Select one: a. 12,200 b. 27,000 c. 32,000 d. 14,400arrow_forwardThe city of Raleigh has 8600 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 300 randomly selected registered voters was conducted. 125 said they'd vote for Brown, 146 said they'd vote for Feliz, and 29 were undecided. Based on the telephone poll, how many people would you expect to vote for Brown?Round your answer to the nearest whole personarrow_forwardMr. Ocampo buys chocolates in boxes of 48 and then puts them into groups of 11. If he buys 93 boxes, how many will he have left over?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 EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete 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