USING AND UNDERSTANDING MATHEMATICS W/
7th Edition
ISBN: 9780135239919
Author: BENNETT AND BR
Publisher: PEARSON
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Textbook Question
Chapter 12.A, Problem 42E
How Close Was 2016? Consider Table 12.3 which shows the results of the 2016 presidential election in Pennsylvania, Michigan, and Wisconsin.
a. If Clinton had won Pennsylvania, Michigan, and Wisconsin, what would the final electoral vote result have been?
b. What was the total popular vote difference in these three states for the top two candidates?
c. Suppose there had been runoff elections between Trump and Clinton in those three states, and that all of the voters who originally selected other candidates then voted for either Trump or Clinton. For each of the three states, calculate the percentage of the votes for other candidates that Clinton would have needed to have won in order to have won the statewide vote.
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The following table shows a data set containing information for 25 of the shadow stocks tracked by the American Association of Individual Investors (aaii.com, February 2002). Shadow stocks are common stocks of smaller companies that are not closely followed by Wall Street analysts.
Click on the datafile logo to reference the data.
DATA file
Company
DeWolfe Companies
Exchange
Ticker
Symbol
Market
Cap
($ millions)
Price/
Gross
Profit
Earnings
Ratio
Margin
(%)
AMEX
DWL
36.4
8.4
36.7
North Coast Energy
OTC
NCEB
52.5
6.2
59.3
Hansen Natural Corp.
OTC
HANS
41.1
14.6
44.8
MarineMax, Inc.
NYSE
HZO
111.5
7.2
23.8
Nanometrics Incorporated
OTC
NANO
228.6
38.0
53.3
TeamStaff, Inc.
OTC
TSTF
92.1
33.5
4.1
Environmental Tectonics
AMEX
ETC
51.1
35.8
35.9
Measurement Specialties
AMEX
MSS
101.8
26.8
37.6
SEMCO Energy, Inc.
NYSE
SEN
193.4
18.7
23.6
Party City Corporation
OTC
PCTY
97.2
15.9
36.4
Embrex, Inc.
OTC
EMBX
136.5
18.9
59.5
Tech/Ops Sevcon, Inc.
AMEX
ΤΟ
23.2
20.7
35.7
ARCADIS NV
OTC
ARCAF
173.4…
The following table shows a data set containing information for 25 of the shadow stocks tracked by the American Association of Individual Investors (aaii.com, February 2002). Shadow stocks are common stocks of smaller companies that are not closely followed by Wall Street analysts.
Click on the datafile logo to reference the data.
DATA file
Company
DeWolfe Companies
Exchange
AMEX
Ticker
Symbol
Market
Cap
Price/
Gross
Profit
Earnings Margin
($ millions)
Ratio
(%)
DWL
36.4
8.4
36.7
North Coast Energy
OTC
NCEB
52.5
6.2
59.3
Hansen Natural Corp.
OTC
HANS
41.1
14.6
44.8
MarineMax, Inc.
NYSE
HZO
111.5
7.2
23.8
Nanometrics Incorporated
OTC
NANO
228.6
38.0
53.3
TeamStaff, Inc.
OTC
TSTF
92.1
33.5
4.1
Environmental Tectonics
AMEX
ETC
51.1
35.8
35.9
Measurement Specialties
AMEX
MSS
101.8
26.8
37.6
SEMCO Energy, Inc.
NYSE
SEN
193.4
18.7
23.6
Party City Corporation
OTC
PCTY
97.2
15.9
36.4
Embrex, Inc.
OTC
EMBX
136.5
18.9
59.5
Tech/Ops Sevcon, Inc.
AMEX
ΤΟ
23.2
20.7
35.7
ARCADIS NV
OTC
ARCAF
173.4…
The following data show the year to date percent change (YTD % Change) for 30 stock-market indexes from around the word (The Wall Street Journal, August 26, 2013).
a. What index has the largest positive YTD % Change? Round your answer to once decimal place. index with a YTD % Change of %
b. Using a class width of 5 beginning with -20 and going to 40, develop a frequency distribution for the data.
YTD % Change
Frequency
-20 - -15
-15 - -10
-10 - -5
-5 - 0
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
30 - 35
c.
1.
2.
3.
4.
Chapter 12 Solutions
USING AND UNDERSTANDING MATHEMATICS W/
Ch. 12.A - Prob. 1QQCh. 12.A - Prob. 2QQCh. 12.A - Prob. 3QQCh. 12.A - Prob. 4QQCh. 12.A - Prob. 5QQCh. 12.A - Prob. 6QQCh. 12.A - Prob. 7QQCh. 12.A - Prob. 8QQCh. 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. 2ECh. 12.A - What is a filibuster? What percentage of the vote...Ch. 12.A - Prob. 4ECh. 12.A - Prob. 5ECh. 12.A - Prob. 6ECh. 12.A - Prob. 7ECh. 12.A - Prob. 8ECh. 12.A - Prob. 9ECh. 12.A - Prob. 10ECh. 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. 14ECh. 12.A - Prob. 15ECh. 12.A - Prob. 16ECh. 12.A - Prob. 17ECh. 12.A - Prob. 18ECh. 12.A - Prob. 19ECh. 12.A - Presidential Elections. The following tables give...Ch. 12.A - Prob. 21ECh. 12.A - Prob. 22ECh. 12.A - Prob. 23ECh. 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. 27ECh. 12.A - Prob. 28ECh. 12.A - Prob. 29ECh. 12.A - Prob. 30ECh. 12.A - Prob. 31ECh. 12.A - Prob. 32ECh. 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. 36ECh. 12.A - Prob. 37ECh. 12.A - Prob. 38ECh. 12.A - Prob. 39ECh. 12.A - Prob. 40ECh. 12.A - Prob. 41ECh. 12.A - How Close Was 2016? Consider Table 12.3 which...Ch. 12.A - Prob. 43ECh. 12.A - Prob. 44ECh. 12.A - Prob. 45ECh. 12.A - Prob. 46ECh. 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. 50ECh. 12.A - Prob. 51ECh. 12.A - Prob. 52ECh. 12.A - Prob. 53ECh. 12.A - Prob. 54ECh. 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. 2QQCh. 12.B - Prob. 3QQCh. 12.B - Prob. 4QQCh. 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. 8QQCh. 12.B - Which of the following is not an advantage of...Ch. 12.B - Prob. 10QQCh. 12.B - Briefly summarize each of the four fairness...Ch. 12.B - Prob. 2ECh. 12.B - What is approval voting? How is it different from...Ch. 12.B - Prob. 4ECh. 12.B - Prob. 5ECh. 12.B - Prob. 6ECh. 12.B - Prob. 7ECh. 12.B - Prob. 8ECh. 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. 12ECh. 12.B - Plurality and Criterion 4. Suppose the plurality...Ch. 12.B - Prob. 14ECh. 12.B - Runoff Methods and Criterion 1. Explain in words...Ch. 12.B - Prob. 16ECh. 12.B - Prob. 17ECh. 12.B - Sequential Runoff and Criterion 2. Devise a...Ch. 12.B - Prob. 19ECh. 12.B - Prob. 20ECh. 12.B - Prob. 21ECh. 12.B - Prob. 22ECh. 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. 26ECh. 12.B - Prob. 27ECh. 12.B - Prob. 28ECh. 12.B - Prob. 29ECh. 12.B - Prob. 30ECh. 12.B - Prob. 31ECh. 12.B - Pairwise Comparisons and Criterion 4. Suppose the...Ch. 12.B - Prob. 33ECh. 12.B - Approval Voting. Suppose that Candidates A and B...Ch. 12.B - Prob. 35ECh. 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. 39ECh. 12.B - Prob. 40ECh. 12.B - Prob. 41ECh. 12.B - Prob. 42ECh. 12.B - Prob. 43ECh. 12.B - Prob. 44ECh. 12.B - Prob. 45ECh. 12.B - Prob. 46ECh. 12.B - Prob. 47ECh. 12.B - Prob. 48ECh. 12.B - Prob. 49ECh. 12.B - Prob. 50ECh. 12.B - Prob. 51ECh. 12.B - 52. Swing Votes. Suppose that the following...Ch. 12.B - Prob. 53ECh. 12.B - Other Fairness Criteria. The fairness criteria...Ch. 12.B - Prob. 55ECh. 12.B - Power Voting and Coalitions. Use the Web...Ch. 12.B - General Voting Power. Find the news report about...Ch. 12.B - Prob. 58ECh. 12.C - Prob. 1QQCh. 12.C - Prob. 2QQCh. 12.C - Prob. 3QQCh. 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. 7QQCh. 12.C - Prob. 8QQCh. 12.C - Prob. 9QQCh. 12.C - Prob. 10QQCh. 12.C - Prob. 1ECh. 12.C - Prob. 2ECh. 12.C - Prob. 3ECh. 12.C - What is the Alabama paradox? What other paradoxes...Ch. 12.C - Prob. 5ECh. 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. 11ECh. 12.C - Prob. 12ECh. 12.C - Prob. 13ECh. 12.C - Prob. 14ECh. 12.C - Prob. 15ECh. 12.C - Prob. 16ECh. 12.C - Prob. 17ECh. 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. 21ECh. 12.C - Prob. 22ECh. 12.C - Prob. 23ECh. 12.C - Prob. 24ECh. 12.C - Prob. 25ECh. 12.C - Prob. 26ECh. 12.C - Prob. 27ECh. 12.C - Prob. 28ECh. 12.C - Prob. 29ECh. 12.C - Prob. 30ECh. 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. 35ECh. 12.C - Prob. 36ECh. 12.C - Prob. 37ECh. 12.C - Prob. 38ECh. 12.C - Comparing Methods. Assume 100 delegates are to be...Ch. 12.C - Prob. 40ECh. 12.C - Prob. 41ECh. 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. 46ECh. 12.C - Prob. 47ECh. 12.C - Prob. 48ECh. 12.C - Prob. 49ECh. 12.D - Prob. 1QQCh. 12.D - Prob. 2QQCh. 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. 5QQCh. 12.D - Prob. 6QQCh. 12.D - Prob. 7QQCh. 12.D - Prob. 8QQCh. 12.D - Prob. 9QQCh. 12.D - Prob. 10QQCh. 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. 8ECh. 12.D - Polls show that half voters in our state plan to...Ch. 12.D - Prob. 10ECh. 12.D - Prob. 11ECh. 12.D - Prob. 12ECh. 12.D - Redistricting and House Elections. The 2010 census...Ch. 12.D - Prob. 14ECh. 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. 19ECh. 12.D - Prob. 20ECh. 12.D - 18—23: Average and Extreme Districts. Consider the...Ch. 12.D - Average and Extreme Districts. Consider the...Ch. 12.D - Prob. 23ECh. 12.D - Prob. 24ECh. 12.D - Prob. 25ECh. 12.D - Prob. 26ECh. 12.D - Prob. 27ECh. 12.D - Prob. 28ECh. 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. 32ECh. 12.D - Prob. 33ECh. 12.D - Prob. 34ECh. 12.D - Prob. 35ECh. 12.D - Prob. 36ECh. 12.D - Prob. 37ECh. 12.D - Prob. 38ECh. 12.D - Prob. 39ECh. 12.D - Prob. 40ECh. 12.D - Prob. 41ECh. 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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- The following data show the year to date percent change (YTD % Change) for 30 stock-market indexes from around the word (The Wall Street Journal, August 26, 2013). Click on the datafile logo to reference the data. DATA file Country Australia Index S&P/ASX200 YTD % Change 10.2 Belgium Bel-20 12.6 Brazil São Paulo Bovespa -14.4 Canada S&P/TSX Comp 2.6 Chile Santiago IPSA -16.3 China Shanghai Composite -9.3 Eurozone EURO Stoxx 10.0 France CAC 40 11.8 Germany DAX 10.6 Hong Kong Hang Seng -3.5 India S&P BSE Sensex -4.7 Israel Tel Aviv 1.3 Italy FTSE MIB 6.6 Japan Nikkei 31.4 Mexico IPC All-Share -6.4 Netherlands AEX 9.3 Singapore Straits Times -2.5 South Korea Kospi -6.4 Spain IBEX 35 6.4 Sweden Switzerland SX All Share 13.8 Swiss Market 17.4 Taiwan Weighted 2.3 U.K. FTSE 100 10.1 U.S. S&P 500 16.6 U.S. DJIA 14.5 U.S. Dow Jones Utility 6.6 U.S. Nasdaq 100 17.4 U.S. Nasdaq Composite 21.1 World DJ Global ex U.S. 4.2 World DJ Global Index 9.9 a. What index has the largest positive YTD %…arrow_forwardWhat is the domain, range, increasing intervals (theres 3), decreasing intervals, roots, y-intercepts, end behavior (approaches four times), leading coffiencent status (is it negative, positivie?) the degress status (zero, undifined etc ), the absolute max, is there a absolute minimum, relative minimum, relative maximum, the root is that has a multiplicity of 2, the multiplicity of 3.arrow_forwardWhat is the vertex, axis of symmerty, all of the solutions, all of the end behaviors, the increasing interval, the decreasing interval, describe all of the transformations that have occurred EXAMPLE Vertical shrink/compression (wider). or Vertical translation down, the domain and range of this graph EXAMPLE Domain: x ≤ -1 Range: y ≥ -4.arrow_forward
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