5) A college fraternity is electing a new president. Each of the 75 members ranked the candidates from first tothird. The preference table below shows the results of the ballots with candidates Darden (D), Moniz (M), andBlackwell (B).Number of Votes 14 10 34 17FirsttotalMD BDD MMMB BDBSecondThirdIf the Plurality with Elimination method is used to determine the winner, is the head-to-head criterionsatisfied?Sug

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Answered: 5) A college fraternity is electing a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Employees at the Me, My Mop and I cleaning service are choosing a new company logo. The choices are a mop (M), a broom and dustpan (B), and a vacuum cleaner (V). Each employee ranks the three choices from first to third. The preference table below shows the results of the ballots. Number of Votes First Second Third 20 3 M V V M B B 17 8 10 19 V M B B B M M M V V B V Determine the winner using the plurality method. O A. broom and dustpan B. mop O C. vacuum
The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S). Determine the winner using the plurality method. Number of Votes 7 10 4 8 First JS JC Second S J CS Third C C SJ
The preference ballots for three candidates (A, B, C) are shown. Fill in the number of votes in the the first row of the given preference table. ВСА АВС СВА АВС АВС АВС ВСА CBA АВС СВА ВСА СВА СВА CBA ВСА ВСА ..... Number of Votes First Choice A В Second Choice B Third Choice A A (Type an integer in each box.)
The theater society members are voting for the kind of play they will perform next semester; a comedy (C), a drama (D), or a musical (M). Their votes are summarized in the following preference table. Which type of play is selected using the pairwise comparison method? Number of Votes 20 12 8 3 1 First Choice M C D C Second Choice C M C M D Third Choice M C comedy Tie between musical and drama drama musical Σ
Three 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)
Consider the following election. Number of Voters 16 11 12 4 1st Choice B D A B 2nd Choice A A D D 3rd Choice D B C C 4th Choice C C B A Using the Plurality Method, the winner of the election is Group of answer choices C D A B
Six candidates A, B. C. D. E. and Fcompete for a seat. There are 100 voters, and the voting profile is as follows (numbers of voters with such preferences are shown in brackets): |25| AEDBCF |20| BEDACF |18| CEDABF |35| FEDABC |2| DEABCF The Condorcet second is an alternative that wins with everybody except for the Condorcet winner. Calculate the alternatives selected by different rules: The plurality winner is The alternative vote winner is The Copeland winner is The Condorcet winner is The Borda Count winner is The Condorcet loser is The Condorcet second is
An organization with branches across the Northeast is trying to decide where it should hold its annual employee picnic. Each branch ranks the locations of Augusta, ME; Boston, MA; and Erie, PA, and the following preference schedule is created: Number of Votes 36 24 19 16 13 1st Choice Erie Augusta Boston Augusta Boston 2nd Choice Augusta Erie Erie Boston Augusta 3rd Choice Boston Boston Augusta Erie Erie The organization has chosen to use the Borda Count method to determine which city they will hold their picnic in. Where will the organization’s picnic be held? Make sure to include an explanation along with your answer.
7)
Ten voters are asked to rank 4 brands of cell phones: A, B, C, and D. The ten voters turn in the following ballots showing their preferences in order A B B BA B B B BA AB BCA C с DACA CD D D D D D C D D Second Which of the following preference tables correctly shows the results of the voting? Select one: O a. Number of Votes 2 2 First A B Third Fourth A C в BACA CCAD D Second O b. Number of Votes 2 2 First A B A Third D C 1 B A D C 1 B A D A 1 B с D A B C Fourth D D C O c. None of these is correct. d. Number of Votes 2 2 First D 2 A 2 C C 2 3 B C A D 3 B с A D 3 B D с C
A football team needs to select a captain from among four players-Steel, Griffin, Pollard, and Driggs. The preference rankings for the team are as follows: # of votes 12 5 8 1 10 3 2 Steel 1 1 2 4 2 2 Griffin 2 3 1 1 1 4 4 Pollard 3 2 3 4 2 1 3 Driggs 4 4 4 2 3 3 1 A) What are the vote totals using the Plurality method? B) Who would win using Plurality with a Runoff between the top two finishers? (Show both vote totals)

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