The Mathematics Department is holding an election for department chair. Each member ranks thecandidates from first to third. The preference table below shows the results of the ballots withcandidates Clark (C), Jones (J), and Smith (S).Determine the winner using the plurality method.Number of Votes7 10 4 8FirstJS JCSecondS J CSThirdC C SJ

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Answered: The Mathematics Department is holding…

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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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: 26 21 22 23 19 24 Using the Borda Count method, which student should be class president? Raymond Lee Suzanne Brewer Elaine Garcia Michael Turley
Twenty−one members of the executive committee of the Student Senate must vote for a student representative for the college board of trustees from among three candidates: Greenburg (G), Haskins (H), and Vazquez (V). The preference table follows. Number of Votes 8 2 7 4 First H V G G Second V G H V Third G H V H ..... Another way to determine the winner if the plurality with elimination method is used is to eliminate the candidate with the most last-place votes at each step. Using the preference table given to the left, determine the winner if the plurality with elimination method is used and the candidate with the most last-place votes is eliminated at each step. Choose the correct answer below. A. Greenburg B. Vazquez C. Haskins D. There is no winner. There is a tie between Haskins and Vazquez. E. There is no winner. There is a three-way tie.
The Science club is selecting its representative for a competition. The members rank the 4 candidates given in the preference table below: Votes 2 1 8 4 1st Berlin Anton Dianne Charles 2nd Charles Berlin Charles Berlin 3rd Dianne Charles Anton Dianne 4th Anton Dianne Berlin Anton Who is the Borda count winner? Group of answer choices Dianne Anton Berlin Charles
Four candidates, Lito, Quennie, Kyleigh, and Irish are running for president of the student government. After the polls close, votes are tallied, and the results in the table below are obtained. Candidate Lito Quennie Kyleigh IrishNumber of Votes 314 155 1,052 479 How many votes were cast? Using the plurality method of voting, who wins the election?Did the winner receive a majority of the votes? Why?
Twenty−three members of the executive committee of the Student Senate must vote for a student representative for the college board of trustees from among three candidates: Greenburg (G), Haskins (H), and Vazquez (V). The preference table follows. Number of Votes 9 2 8 4 First V G H H Second G H V G Third H V G V Another way to determine the winner if the plurality with elimination method is used is to eliminate the candidate with the most last-place votes at each step. Using the preference table given to the left, determine the winner if the plurality with elimination method is used and the candidate with the most last-place votes is eliminated at each step. Choose the correct answer below. A. Haskins B. Greenburg C. Vazquez D. There is no winner. There is a tie between Vazquez and Greenburg. E. There is no winner. There is a three-way tie.
Irvine Valley College is hiring a new public relations director. The hiring committee ranks the four candidates, A, B, C, and D, according to the preference table below. Suppose the Borda count method is used to determine the winner. Determine whether the majority criterion is satisfied. Number of Votes 2 1 2 3 First A B B A Second B C D B Third C D C D Fourth D A A C Is the majority criterion satisfied? No Yes
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?
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: 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 Turley
In an election with 4 candidates, the 25 voters express the following preferences Number of Votes: 12 6 5 2 1st B A D B 2nd A D A D 3rd C C C A 4th D B B C Determine the winner according to Plurality with Elimination Group of answer choices A B C D
The Adobe School District is hiring a vice principal and has interviewed four candidates: Anna (A), Bono (B), Clark (C), and David (D). The hiring committee has indicated their preferences. (ACDB) (CBAD) (BCDA) (DBCA) 8, 1, 3, 6 Who is the winner using the plurality method?

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