4. Consider the weighted voting system [14: 14, 10, 2, 1].a. What is the quota?b. How many players are there?c. Identify any dictators.d. Identify any players with veto power.e. Identify any dummy player. Answer the following questions.1. In the following weighted voting system example, identify the quota and the weights.[115: 25, 35, 56, 34, 78]a. The quota is:b. The weights are:2. _Given the following weighted voting system [78: 24, 40, 14], is there a dictator? If so,which player?3. Given the following weighted voting system [16: 12, 7, 4], is there a player that has theveto power? If so, which player and why?Write your response below:

"Since you have asked multiple questions, we will solve the first question for you. If you want any…

Answered: 1. In the following weighted voting…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Use the counting principle to obtain the answer. A shoe store carried one brand of shoe in 4 styles, 5 sizes, and 5 colors. How many types of shoes were available for this one brand? ... .. O A. 14 B. 45 O C. 100 O D. 80 Ap ourse (S
1. List the total points for each candidate. Show how you calculate each candidate's total points. A: 160+100+30+18-308 B: 120+75+60+54=309 C: 80+25+120+72=297 D: 40+50+90+36-216 2. Under the Borda method, the candidate who wins the vote is B 3. How many votes are needed to win the majority? 566 votes are needed to win the majority. 4. Now determine the head-to-head winner. Fill in the table below. The first column is filled out for you as an example. 40 25 30 18 Winner in Head-to-Head A vs B A vs C A vs D A-40 A-25 B-30 B-18 B vs C B vs C C vs D 5. Who wins the head-to-head? How does the candidate win the head-to-head? 6. What can you say about the head-to-head criterion? Determine whether or not the Borda method violates the head-to-head criterion. Write your response below:
Redistricting and House Elections The 2010 census led to the loss of two house seats in New York and Ohio, the loss of one House seat in Pennsylvania, the gain of two house seats in Florida and the gain of four House seats in Texas. Consider the following approximate vote counts for all House districts in these states in 2010 (before redistricting) and 2012 (after redistricting). All figures are in thousands of votes. Votes for other parties are neglected. a. Find the percentages of votes cast for Republican and Democratic candidates in 2012 and 2012. b. Find the percentages of House seats that were won by republican and democratic candidates in 2010 and 2012. c. Explain whether the distributions of votes reflect the distributions of House seats. d. Discuss whether redistricting based on the 2010 census affected the distributions of votes and representatives. VOTES FOR VOTES FOR DEMOCRATIC REPUBICAN CANDIDATES CANDIDATES REPUBLICAN SEATS (THOUSANDS) (THOUSANDS) 2053 1611 13 2620 2412…
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1. In the following weighted voting system example, identify the quota and the weights. [115: 25, 35, 56, 34, 78] a. The quota is: b. The weights are: