Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
7th Edition
ISBN: 9780134705187
Author: Jeffrey O. Bennett, William L. Briggs
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 12.B, Problem 38E
To determine
The state that has more voting power per person.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
△DEF△DEF has vertices D(0, 2) and F(6, 2). If △DEF△DEF has an area of 12 square units, select all the possible coordinates for E.
2. In a computer network some pairs of computers are connected by network cables.
Your goal is to set up the computers so that messages can be sent quickly from any
computer to any other computer. For this you have identified each of the n com-
puters uniquely with a number between 1 and n, and have decided that a message
should consist of two such numbers, identifying the sender and the recipient, fol-
lowed by the content of the message. As cables are relatively short, you can assume
that sending a message across a single cable takes an amount of time that is the
same irrespective of the length of the cable. You can further assume that at most
one message travels between computer at any point, so that you don't have to worry
about inference among messages.
(a) Define a graph or network that models the computer network and allows you
to answer the remaining parts of this question.
(b) Consider two computers, a sender and a recipient. Using the graph or network
you have defined,…
3. A spreadsheet consists of cells indexed by a row and a column. Each cell contains
either a value or a formula that depends on the values of other cells.
(a) Describe a graph, digraph, or network that models an arbitrary spreadsheet
and allows you to answer the remaining parts of this question.
(b) Explain, by referring to the graph, digraph, or network, when it is possible to
change the value of cell x without changing the value of cell y.
(c) Explain, by referring to the graph, digraph, or network, when it is possible to
calculate the values of all cells in the spreadsheet.
Consider the following spreadsheet with 5 rows, 7 columns, and 35 cells. For exam-
ple, cell el contains a value, whereas cell al contains a formula that depends on the
values cells el and 95.
a
b
с
1
el+g5 al-c5 110
d
al+cl 180
e
f
g
f5-el
c1+c2
2
al+b1 a2+c4 240
a2+c2 120
f5-e2
e3+e5
3 a2+b2 a3-c3 100
a3+c1 200
f5-e3 f1+f2
4
a3+b3 a4+c2 220
a4+c2 100 f5-e4 f3+f4
5 a4+b4 a5-c1 130 a5+c5 120 g3+g4 g1+g2
(d) Can…
Chapter 12 Solutions
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
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
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- 1. Let W, U, and S be graphs defined as follows: • V(W) is the set of countries in the world; • V(U) is the set of countries in the European Union; V(S) is the set of countries in the Schengen Area; ● for X = {W,U,S}, E(X) is the set of pairs of countries in V(X) that share a land border. Recall that land borders between countries in the Schengen Area are special in that they can be crossed without a passport. (a) The notions of a country and a land border are somewhat ambiguous. Explain the notions you will use to get a precise definition of the graphs W, U, and S. (b) Is S a subgraph of U? Is U an induced subgraph of W? Justify your answers. (c) Using non-mathematical language, explain what it means for a country x if VEV(S) and dw (v) = 0. Give all such countries. Let A = {v Є V(W) \V(S) such that |Nw(v)| > 0 and Nw (v) ≤ V(S)}. (d) Using non-mathematical language, explain what the set A represents in terms of countries and land borders. Give a specific element of A or explain why A…arrow_forward3. A spreadsheet consists of cells indexed by a row and a column. Each cell contains either a value or a formula that depends on the values of other cells. (a) Describe a graph, digraph, or network that models an arbitrary spreadsheet and allows you to answer the remaining parts of this question. (b) Explain, by referring to the graph, digraph, or network, when it is possible to change the value of cell x without changing the value of cell y. (c) Explain, by referring to the graph, digraph, or network, when it is possible to calculate the values of all cells in the spreadsheet. Consider the following spreadsheet with 5 rows, 7 columns, and 35 cells. For exam- ple, cell el contains a value, whereas cell al contains a formula that depends on the values cells el and 95. a b с d e f g 1 el+g5 al-c5 110 al+cl 180 f5-el c1+c2 2 al+bl a2+c4 240 a2+c2 120 f5-e2 e3+e5 3 a2+b2 a3-c3 100 a3+c1 200 f5-e3 f1+f2 4 a3+b3 a4+c2 220 a4+c2 100 f5-e4 f3+f4 5 a4+b4 a5-c1 130 a5+c5 120 g3+g4 gl+g2 (d) Can…arrow_forwardt 56 65 33arrow_forward
- Solution: Solution: 7.2 2x²+5x-3. Diagram: till sh one The Steps the same technique as in 4 and 5) above to factor the following Show all the Steps. "Diagram, (2) 03) But (be Wha x+2 3arrow_forwardQ/ solving Laplace equation on Rectangular Rejon a xx+uyy = o u (x, 0) = u(x,2) = 0 u (o,y) = y (1,y) = 27arrow_forwardSolve the following equation forx. leave answer in Simplified radical form. 5x²-4x-3=6arrow_forward
- MATCHING LIST Question 6 Listen Use the given equations and their discriminants to match them to the type and number of solutions. 00 ed two irrational solutions a. x²+10x-2=-24 two rational solutions b. 8x²+11x-3=7 one rational solution c. 3x²+2x+7=2 two non-real solutions d. x²+12x+45 = 9 DELL FLOWER CHILD 10/20 All Changes S $681 22991arrow_forward88 MULTIPLE CHOICE Question 7 Listen The following irrational expression is given in unsimplified form with four op- tions in simplified form. Select the correct simplified form. Select only one option. A 2±3√√2 B 4±√3 2±√ √3 D 1±√√3 DELL FLOWER CHILD 11/200 4 ± √48 4 ✓ All Changes Saved 165arrow_forwardQ / solving ha place equation a x x + u y y = 0 u (x, 0)=0 u ( x, 2) = 10 u (o,y) = 4 (119)=0 и on Rectangular Rejonarrow_forward
- (a) Test the hypothesis. Consider the hypothesis test Ho = : against H₁o < 02. Suppose that the sample sizes aren₁ = 7 and n₂ = 13 and that $² = 22.4 and $22 = 28.2. Use α = 0.05. Ho is not ✓ rejected. 9-9 IV (b) Find a 95% confidence interval on of 102. Round your answer to two decimal places (e.g. 98.76).arrow_forwardLet us suppose we have some article reported on a study of potential sources of injury to equine veterinarians conducted at a university veterinary hospital. Forces on the hand were measured for several common activities that veterinarians engage in when examining or treating horses. We will consider the forces on the hands for two tasks, lifting and using ultrasound. Assume that both sample sizes are 6, the sample mean force for lifting was 6.2 pounds with standard deviation 1.5 pounds, and the sample mean force for using ultrasound was 6.4 pounds with standard deviation 0.3 pounds. Assume that the standard deviations are known. Suppose that you wanted to detect a true difference in mean force of 0.25 pounds on the hands for these two activities. Under the null hypothesis, 40 = 0. What level of type II error would you recommend here? Round your answer to four decimal places (e.g. 98.7654). Use a = 0.05. β = i What sample size would be required? Assume the sample sizes are to be equal.…arrow_forward= Consider the hypothesis test Ho: μ₁ = μ₂ against H₁ μ₁ μ2. Suppose that sample sizes are n₁ = 15 and n₂ = 15, that x1 = 4.7 and X2 = 7.8 and that s² = 4 and s² = 6.26. Assume that o and that the data are drawn from normal distributions. Use απ 0.05. (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) for a true difference in means of 3? (c) Assuming equal sample sizes, what sample size should be used to obtain ẞ = 0.05 if the true difference in means is - 2? Assume that α = 0.05. (a) The null hypothesis is 98.7654). rejected. The P-value is 0.0008 (b) The power is 0.94 . Round your answer to four decimal places (e.g. Round your answer to two decimal places (e.g. 98.76). (c) n₁ = n2 = 1 . Round your answer to the nearest integer.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill Education
Mathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSON
Discrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,
Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education
Discrete Mathematics and Its Applications ( 8th I...
Math
ISBN:9781259676512
Author:Kenneth H Rosen
Publisher:McGraw-Hill Education
Mathematics for Elementary Teachers with Activiti...
Math
ISBN:9780134392790
Author:Beckmann, Sybilla
Publisher:PEARSON
Thinking Mathematically (7th Edition)
Math
ISBN:9780134683713
Author:Robert F. Blitzer
Publisher:PEARSON
Discrete Mathematics With Applications
Math
ISBN:9781337694193
Author:EPP, Susanna S.
Publisher:Cengage Learning,
Pathways To Math Literacy (looseleaf)
Math
ISBN:9781259985607
Author:David Sobecki Professor, Brian A. Mercer
Publisher:McGraw-Hill Education
Find number of persons in a part with 66 handshakes Combinations; Author: Anil Kumar;https://www.youtube.com/watch?v=33TgLi-wp3E;License: Standard YouTube License, CC-BY
Discrete Math 6.3.1 Permutations and Combinations; Author: Kimberly Brehm;https://www.youtube.com/watch?v=J1m9sB5XZQc;License: Standard YouTube License, CC-BY
How to use permutations and combinations; Author: Mario's Math Tutoring;https://www.youtube.com/watch?v=NEGxh_D7yKU;License: Standard YouTube License, CC-BY
Permutations and Combinations | Counting | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=0NAASclUm4k;License: Standard Youtube License
Permutations and Combinations Tutorial; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=XJnIdRXUi7A;License: Standard YouTube License, CC-BY