Using & Understanding Mathematics, Books a la Carte edition (7th Edition)

7th Edition

ISBN: 9780134716015

Author: Jeffrey O. Bennett, William L. Briggs

Publisher: PEARSON

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Textbook Question

Chapter 12.D, Problem 15E

Redistricting and House Elections. The 2010 census led to the loss of two House seats in New York and Ohio. the loss of 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 House candidates in 2010 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.

15. Texas

	Votes for Republican Candidates (1000s)	Votes for Democratic Candidates (1000s)	Republican Seats	Democratic Seats
2010	3058	1450	23	9
2012	4429	2950	24	12

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Chapter 12.D, Problem 14E

Chapter 12.D, Problem 16E

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Chapter 12 Solutions

Using & Understanding Mathematics, Books a la Carte edition (7th Edition)

Ch. 12.A - Prob. 1QQ Ch. 12.A - Prob. 2QQ Ch. 12.A - Prob. 3QQ Ch. 12.A - Prob. 4QQ Ch. 12.A - Prob. 5QQ Ch. 12.A - Prob. 6QQ Ch. 12.A - Prob. 7QQ Ch. 12.A - Prob. 8QQ Ch. 12.A - 9. Study Table 12.5. Which candidate received the...Ch. 12.A - 10. What is the primary lesson of the preference...

Ch. 12.A - 1. What is majority rule? When can it definitively...Ch. 12.A - Prob. 2E Ch. 12.A - What is a filibuster? What percentage of the vote...Ch. 12.A - Prob. 4E Ch. 12.A - Prob. 5E Ch. 12.A - Prob. 6E Ch. 12.A - Prob. 7E Ch. 12.A - Prob. 8E Ch. 12.A - Prob. 9E Ch. 12.A - Prob. 10E Ch. 12.A - 11. Herman won a plurality of the vote, but Hanna...Ch. 12.A - Fred beat Fran using the point system (Borda...Ch. 12.A - 13. Candidate Reagan won the popular vote for the...Ch. 12.A - Prob. 14E Ch. 12.A - Prob. 15E Ch. 12.A - Prob. 16E Ch. 12.A - Prob. 17E Ch. 12.A - Prob. 18E Ch. 12.A - Prob. 19E Ch. 12.A - Presidential Elections. The following tables give...Ch. 12.A - Prob. 21E Ch. 12.A - Prob. 22E Ch. 12.A - Prob. 23E Ch. 12.A - Presidential Elections. The following tables give...Ch. 12.A - 23. Super Majorities. a. Of the 100 senators in...Ch. 12.A - 24. Super Majorities. a. According to the bylaws...Ch. 12.A - Prob. 27E Ch. 12.A - Prob. 28E Ch. 12.A - Prob. 29E Ch. 12.A - Prob. 30E Ch. 12.A - Prob. 31E Ch. 12.A - Prob. 32E Ch. 12.A - 31—34. Interpreting Preference Schedules. Answer...Ch. 12.A - 31—34. Interpreting Preference Schedules. Answer...Ch. 12.A - 31—34. Interpreting Preference Schedules. Answer...Ch. 12.A - Prob. 36E Ch. 12.A - Prob. 37E Ch. 12.A - Prob. 38E Ch. 12.A - Prob. 39E Ch. 12.A - Prob. 40E Ch. 12.A - Prob. 41E Ch. 12.A - How Close Was 2016? Consider Table 12.3 which...Ch. 12.A - Prob. 43E Ch. 12.A - Prob. 44E Ch. 12.A - Prob. 45E Ch. 12.A - Prob. 46E Ch. 12.A - Condorcet Winner. If a candidate wins all...Ch. 12.A - 45. Condorcet Paradox. Consider the following...Ch. 12.A - 46. Pairwise Comparisons Question. a. How many...Ch. 12.A - Prob. 50E Ch. 12.A - Prob. 51E Ch. 12.A - Prob. 52E Ch. 12.A - Prob. 53E Ch. 12.A - Prob. 54E Ch. 12.A - Sports Polls. Most men’s and women’s major college...Ch. 12.A - Elections Around the World. Many countries have...Ch. 12.B - l. How many of the four fairness criteria (see p....Ch. 12.B - Prob. 2QQ Ch. 12.B - Prob. 3QQ Ch. 12.B - Prob. 4QQ Ch. 12.B - 5. Suppose that Berman is declared the winner of...Ch. 12.B - 6. Suppose that Freedman is declared the winner of...Ch. 12.B - 7. Notice that if Goldsmith dropped out, Freedman...Ch. 12.B - Prob. 8QQ Ch. 12.B - Which of the following is not an advantage of...Ch. 12.B - Prob. 10QQ Ch. 12.B - Briefly summarize each of the four fairness...Ch. 12.B - Prob. 2E Ch. 12.B - What is approval voting? How is it different from...Ch. 12.B - Prob. 4E Ch. 12.B - Prob. 5E Ch. 12.B - Prob. 6E Ch. 12.B - Prob. 7E Ch. 12.B - Prob. 8E Ch. 12.B - Plurality and Criterion 1. Explain in words why...Ch. 12.B - 10. Plurality and Criterion 2. Consider the...Ch. 12.B - 11. Plurality and Criterion 2. Devise a preference...Ch. 12.B - Prob. 12E Ch. 12.B - Plurality and Criterion 4. Suppose the plurality...Ch. 12.B - Prob. 14E Ch. 12.B - Runoff Methods and Criterion 1. Explain in words...Ch. 12.B - Prob. 16E Ch. 12.B - Prob. 17E Ch. 12.B - Sequential Runoff and Criterion 2. Devise a...Ch. 12.B - Prob. 19E Ch. 12.B - Prob. 20E Ch. 12.B - Prob. 21E Ch. 12.B - Prob. 22E Ch. 12.B - Point System and Criterion 1. Devise your own...Ch. 12.B - 24. Point System and Criterion 2. Suppose the...Ch. 12.B - 25. Point System and Criterion 2. Devise a...Ch. 12.B - Prob. 26E Ch. 12.B - Prob. 27E Ch. 12.B - Prob. 28E Ch. 12.B - Prob. 29E Ch. 12.B - Prob. 30E Ch. 12.B - Prob. 31E Ch. 12.B - Pairwise Comparisons and Criterion 4. Suppose the...Ch. 12.B - Prob. 33E Ch. 12.B - Approval Voting. Suppose that Candidates A and B...Ch. 12.B - Prob. 35E Ch. 12.B - Power Voting. Imagine that a small company has...Ch. 12.B - 37-41: Electoral Power. Use the table below to...Ch. 12.B - 37-41: Electoral Power. Use the table below to...Ch. 12.B - Prob. 39E Ch. 12.B - Prob. 40E Ch. 12.B - Prob. 41E Ch. 12.B - Prob. 42E Ch. 12.B - Prob. 43E Ch. 12.B - Prob. 44E Ch. 12.B - Prob. 45E Ch. 12.B - Prob. 46E Ch. 12.B - Prob. 47E Ch. 12.B - Prob. 48E Ch. 12.B - Prob. 49E Ch. 12.B - Prob. 50E Ch. 12.B - Prob. 51E Ch. 12.B - 52. Swing Votes. Suppose that the following...Ch. 12.B - Prob. 53E Ch. 12.B - Other Fairness Criteria. The fairness criteria...Ch. 12.B - Prob. 55E Ch. 12.B - Power Voting and Coalitions. Use the Web...Ch. 12.B - General Voting Power. Find the news report about...Ch. 12.B - Prob. 58E Ch. 12.C - Prob. 1QQ Ch. 12.C - Prob. 2QQ Ch. 12.C - Prob. 3QQ Ch. 12.C - 4. Suppose that, in 2030, the census shows that...Ch. 12.C - 5. Consider a school district with 50 schools,...Ch. 12.C - 6. Consider the school district described in...Ch. 12.C - Prob. 7QQ Ch. 12.C - Prob. 8QQ Ch. 12.C - Prob. 9QQ Ch. 12.C - Prob. 10QQ Ch. 12.C - Prob. 1E Ch. 12.C - Prob. 2E Ch. 12.C - Prob. 3E Ch. 12.C - What is the Alabama paradox? What other paradoxes...Ch. 12.C - Prob. 5E Ch. 12.C - What is the quota criterion? Why are violations of...Ch. 12.C - 7. Briefly describe how Webster’s method and the...Ch. 12.C - 8. Explain why Webster’s method and the...Ch. 12.C - is the president of a large company with 12...Ch. 12.C - 10. Charlene is the head judge in a figure skating...Ch. 12.C - Prob. 11E Ch. 12.C - Prob. 12E Ch. 12.C - Prob. 13E Ch. 12.C - Prob. 14E Ch. 12.C - Prob. 15E Ch. 12.C - Prob. 16E Ch. 12.C - Prob. 17E Ch. 12.C - 15-18: State Representation. The following table...Ch. 12.C - 19. Standard Quotas in Business. A large company...Ch. 12.C - 20. Standard Quota in Education. Capital...Ch. 12.C - Prob. 21E Ch. 12.C - Prob. 22E Ch. 12.C - Prob. 23E Ch. 12.C - Prob. 24E Ch. 12.C - Prob. 25E Ch. 12.C - Prob. 26E Ch. 12.C - Prob. 27E Ch. 12.C - Prob. 28E Ch. 12.C - Prob. 29E Ch. 12.C - Prob. 30E Ch. 12.C - 29-32: Jefferson's Method. Apply Jefferson's...Ch. 12.C - Jefferson's Method. Apply Jefferson's method to...Ch. 12.C - 33. Webster’s Method. Use Webster’s method to...Ch. 12.C - 34. Webster’s Method. Use Webster’s method to...Ch. 12.C - Prob. 35E Ch. 12.C - Prob. 36E Ch. 12.C - Prob. 37E Ch. 12.C - Prob. 38E Ch. 12.C - Comparing Methods. Assume 100 delegates are to be...Ch. 12.C - Prob. 40E Ch. 12.C - Prob. 41E Ch. 12.C - 39-42: Comparing Methods. Assume 100 delegates are...Ch. 12.C - 43-46: Non-House Apportionments. The following...Ch. 12.C - 43-46: Non-House Apportionments. The following...Ch. 12.C - 43-46: Non-House Apportionments. The following...Ch. 12.C - Prob. 46E Ch. 12.C - Prob. 47E Ch. 12.C - Prob. 48E Ch. 12.C - Prob. 49E Ch. 12.D - Prob. 1QQ Ch. 12.D - Prob. 2QQ Ch. 12.D - 3. If we compare results in presidential elections...Ch. 12.D - 4. In 2010, Republicans in North Carolina received...Ch. 12.D - Prob. 5QQ Ch. 12.D - Prob. 6QQ Ch. 12.D - Prob. 7QQ Ch. 12.D - Prob. 8QQ Ch. 12.D - Prob. 9QQ Ch. 12.D - Prob. 10QQ Ch. 12.D - What is redistricting, and when must it be done?Ch. 12.D - 2. How has the competitiveness of elections for...Ch. 12.D - 3. What is gerrymandering? Where does this term...Ch. 12.D - 4. Briefly describe how the drawing of boundaries...Ch. 12.D - What requirements must be met in drawing district...Ch. 12.D - Briefly describe two ideas for reforming the...Ch. 12.D - In the last election in my home state, 48% of the...Ch. 12.D - Prob. 8E Ch. 12.D - Polls show that half voters in our state plan to...Ch. 12.D - Prob. 10E Ch. 12.D - Prob. 11E Ch. 12.D - Prob. 12E Ch. 12.D - Redistricting and House Elections. The 2010 census...Ch. 12.D - Prob. 14E Ch. 12.D - Redistricting and House Elections. The 2010 census...Ch. 12.D - 13-17: Redistricting and House Elections. The 2010...Ch. 12.D - Redistricting and House Elections. The 2010 census...Ch. 12.D - 18-23: Average and Extreme Districts. Consider...Ch. 12.D - Prob. 19E Ch. 12.D - Prob. 20E Ch. 12.D - 18—23: Average and Extreme Districts. Consider the...Ch. 12.D - Average and Extreme Districts. Consider the...Ch. 12.D - Prob. 23E Ch. 12.D - Prob. 24E Ch. 12.D - Prob. 25E Ch. 12.D - Prob. 26E Ch. 12.D - Prob. 27E Ch. 12.D - Prob. 28E Ch. 12.D - 28—29: Drawing Districts Set III. Refer to Figure...Ch. 12.D - 30—32: Drawing Districts Set IV. Refer to Figure...Ch. 12.D - 30—32: Drawing Districts Set IV. Refer to Figure...Ch. 12.D - Prob. 32E Ch. 12.D - Prob. 33E Ch. 12.D - Prob. 34E Ch. 12.D - Prob. 35E Ch. 12.D - Prob. 36E Ch. 12.D - Prob. 37E Ch. 12.D - Prob. 38E Ch. 12.D - Prob. 39E Ch. 12.D - Prob. 40E Ch. 12.D - Prob. 41E Ch. 12.D - 42. Redistricting Procedures. Choose a state that...Ch. 12.D - 43. Reform Efforts. Investigate the current status...Ch. 12.D - 44. Mathematical Algorithms for Reform. Search for...Ch. 12.D - Prob. 45E

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