**Question 7:** How many first-place votes are needed for a majority in this election?- A) 24- B) 8- C) 11- D) 22(There are no graphs or diagrams accompanying this text.) The image presents a preference table illustrating the choices of different groups of voters. There are four candidates labeled as A, B, C, and D. The table specifies the rankings of these candidates by groups of voters. Here's the detailed breakdown:- **Number of Voters**: The table lists the number of voters in each group across the top row: 15, 11, 9, 8, and 4. - **1st Choice**: - 15 voters ranked A as their first choice. - 11 voters ranked D as their first choice. - 9 voters ranked C as their first choice. - 8 voters ranked B as their first choice. - 4 voters ranked D as their first choice.- **2nd Choice**: - 15 voters ranked B as their second choice. - 11 voters ranked B as their second choice. - 9 voters ranked D as their second choice. - 8 voters ranked C as their second choice. - 4 voters ranked C as their second choice.- **3rd Choice**: - 15 voters ranked D as their third choice. - 11 voters ranked C as their third choice. - 9 voters ranked B as their third choice. - 8 voters ranked D as their third choice. - 4 voters ranked B as their third choice.- **4th Choice**: - 15 voters ranked C as their fourth choice. - 11 voters ranked A as their fourth choice. - 9 voters ranked A as their fourth choice. - 8 voters ranked A as their fourth choice. - 4 voters ranked A as their fourth choice.This preference table helps in understanding how groups of voters have prioritized the candidates, which can be utilized for various voting analyses or to employ different voting systems like the Borda count or Instant-runoff voting.

Name: **Question 7:** How many first-place votes are needed for a majority
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Description: **Question 7:** How many first-place votes are needed for a majority in this election?- A) 24- B) 8- C) 11- D) 22(There are no graphs or diagrams accompanying this text.) The image presents a preference table illustrating the choices of different gr

The number of voters are 15+11+9+8+4=47 For majority number of votes required is 472=23.5 Therefore,…

Answered: 7) How many first-place votes are…

Math

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7) How many first-place votes are needed for a majority in this election? B) 8 A) 24 C) 11 D) 22

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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Concept explainers

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

Topic Video

Question

The image presents a preference table illustrating the choices of different groups of voters. There are four candidates labeled as A, B, C, and D. The table specifies the rankings of these candidates by groups of voters. Here's the detailed breakdown:

- **Number of Voters**: The table lists the number of voters in each group across the top row: 15, 11, 9, 8, and 4.

- **1st Choice**:
- 15 voters ranked A as their first choice.
- 11 voters ranked D as their first choice.
- 9 voters ranked C as their first choice.
- 8 voters ranked B as their first choice.
- 4 voters ranked D as their first choice.

- **2nd Choice**:
- 15 voters ranked B as their second choice.
- 11 voters ranked B as their second choice.
- 9 voters ranked D as their second choice.
- 8 voters ranked C as their second choice.
- 4 voters ranked C as their second choice.

- **3rd Choice**:
- 15 voters ranked D as their third choice.
- 11 voters ranked C as their third choice.
- 9 voters ranked B as their third choice.
- 8 voters ranked D as their third choice.
- 4 voters ranked B as their third choice.

- **4th Choice**:
- 15 voters ranked C as their fourth choice.
- 11 voters ranked A as their fourth choice.
- 9 voters ranked A as their fourth choice.
- 8 voters ranked A as their fourth choice.
- 4 voters ranked A as their fourth choice.

This preference table helps in understanding how groups of voters have prioritized the candidates, which can be utilized for various voting analyses or to employ different voting systems like the Borda count or Instant-runoff voting.

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