BuyFind*arrow_forward*

4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.1, Problem 31ES

Textbook Problem

8 views

**31. What method is presently used to apportion the** members **of the U.S.** House **of Representatives?**

To determine

What method is presently used to apportion the members of the U.S House of Representatives?

**Given Information:**

Method which is presently used to apportion the members of the U.S house of representative.

**Concept used:**

The method which is presently used to apportion the members of the US. House of Representatives is Huntington-Hill apportionment method...

Mathematical Excursions (MindTap Course List)

Show all chapter solutions

Ch. 4.1 - Verify this apportionment using the Jefferson...Ch. 4.1 - Find the apportionment that would have resulted if...Ch. 4.1 - Give each state one representative. Use the...Ch. 4.1 - Find the apportionment that would have resulted if...Ch. 4.1 - Explain how to calculate the standard divisor of...Ch. 4.1 - Teacher Aides A total of 25 teacher aides are to...Ch. 4.1 - In the Hamilton apportionment method, explain how...Ch. 4.1 - What is quota rule?Ch. 4.1 - Governing Boards The following table shows how the...Ch. 4.1 - Forest Rangers The table below shows how the...

Ch. 4.1 - Sales Associates The table below shows the number...Ch. 4.1 - Hospital Interns The table below shows the number...Ch. 4.1 - House of Representatives The U.S. House of...Ch. 4.1 - College Enrollment The following table shows the...Ch. 4.1 - Medical Care A hospital district consists of six...Ch. 4.1 - What is the Alabama paradox?Ch. 4.1 - What is the population paradox?Ch. 4.1 - What is the new states paradox?Ch. 4.1 - 15. What is the Balinski-Young Impossibility...Ch. 4.1 - Apportionment of Projectors Consider the...Ch. 4.1 - Hotel Management A company operates four resorts....Ch. 4.1 - College Security A college apportions 40 security...Ch. 4.1 - Management Scientific Research Corporation has...Ch. 4.1 - Education The science division of a college...Ch. 4.1 - Elementary School Teachers The following table...Ch. 4.1 - Social Workers The following table shows the...Ch. 4.1 - Computer Usage The table below shows the number of...Ch. 4.1 - The population of Illinois increased by over...Ch. 4.1 - 25. The population of Louisiana increased 1.4%...Ch. 4.1 - House of Representatives Currently. the U.S. House...Ch. 4.1 - Computer Usage Use the Webster method to apportion...Ch. 4.1 - Demographics The table below shows the populations...Ch. 4.1 - Which of she following apportionment methods can...Ch. 4.1 - According to Michael Balinski and H. Peyton Young,...Ch. 4.1 - 31. What method is presently used to apportion the...Ch. 4.1 - 32. According to the 2010 census, what is the...Ch. 4.1 - John Quincy Adams, the sixth president of the...Ch. 4.1 - In the Huntington-Hill method of apportionment,...Ch. 4.1 - Deriving the Huntington-Hill Number The...Ch. 4.2 - Using the Borda method of voting, which flavor of...Ch. 4.2 - Instead of using the normal Borda method, suppose...Ch. 4.2 - Suppose the Borda method used in Exercise I of...Ch. 4.2 - Suppose the Borda method used in Exercise I of...Ch. 4.2 - Suppose the Borda method used in Exercise 1 of...Ch. 4.2 - Can the assignment of points for first. Second,...Ch. 4.2 - Suppose the assignment of points for first,...Ch. 4.2 - What is the difference between a majority and a...Ch. 4.2 - Explain why the plurality voting system may not be...Ch. 4.2 - Explain how the Borda Count method of voting...Ch. 4.2 - Explain how the plurality with elimination voting...Ch. 4.2 - 5. Explain how the pairwise comparison voting...Ch. 4.2 - What does the Condorcet criterion say?Ch. 4.2 - Is there a best voting method? Is one method more...Ch. 4.2 - Explain why. if only two candidates are running,...Ch. 4.2 - Presidential Election The table below shows the...Ch. 4.2 - Breakfast Cereal Sixteen people were asked to rank...Ch. 4.2 - Cartoon Characters A kindergarten class was...Ch. 4.2 - Catering A 15-person committee is having lunch...Ch. 4.2 - Movies Fifty consumers were surveyed about their...Ch. 4.2 - Breakfast Cereal Use the Borda count method of...Ch. 4.2 - Cartoons Use the Borda count method of voting to...Ch. 4.2 - Catering Use the Borda count method of voting to...Ch. 4.2 - Class Election A senior high school class held an...Ch. 4.2 - Cell Phone Usage A journalist reviewing various...Ch. 4.2 - Baseball Uniforms A Little League baseball team...Ch. 4.2 - Radio Stations A number of college students were...Ch. 4.2 - Class Election Use plurality with elimination to...Ch. 4.2 - Cell Phone Usage Use plurality with elimination to...Ch. 4.2 - Campus Club A campus club has money left over in...Ch. 4.2 - Recreation A company is planning its annual summer...Ch. 4.2 - X-Men Movies Fans of the X-Men movies have been...Ch. 4.2 - Family Reunion The Nelson family is trying to...Ch. 4.2 - School Mascot A new college needs to pick a moscot...Ch. 4.2 - Election Five candidates are running for president...Ch. 4.2 - Baseball Uniforms Use the pairwise comparison...Ch. 4.2 - Radio Stations Use the pairwise comparison method...Ch. 4.2 - Does the winner in Exercise tic satisfy the...Ch. 4.2 - 32. Does the winner in Exercise 12 satisfy the...Ch. 4.2 - Does the winner in Exercise 2k satisfy the...Ch. 4.2 - Does the winner in Exercise 24c satisfy the...Ch. 4.2 - Does the winner in Exercise 17 satisfy the...Ch. 4.2 - Does the winner in Exercise 20 satisfy the...Ch. 4.2 - Election Three candidates are running for mayor. A...Ch. 4.2 - Film Competition Three films have been selected as...Ch. 4.2 - 39. Election A campus club needs to elect four...Ch. 4.2 - Scholarship Awards The members of a scholarship...Ch. 4.2 - Another method of voting is to assign a weight. or...Ch. 4.2 - Approval voting is a system in which voters may...Ch. 4.2 - Restaurants Suppose you and three friends. David,...Ch. 4.3 - Using the data in Example 1 on page 211, list all...Ch. 4.3 - For the data in Example I on page 211, calculate...Ch. 4.3 - Using the data in Check Your Progress 3 on page...Ch. 4.3 - For the data in Check Your Progress 3 on page 215,...Ch. 4.3 - Create a voting system with three members that is...Ch. 4.3 - Create a voting system with four members in which...Ch. 4.3 - Create a voting system with five members that...Ch. 4.3 - In the following exercises that involve weighted...Ch. 4.3 - In the following exercises that involve weighted...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Which, if any, of the voting systems in Exercises...Ch. 4.3 - Explain why it is impossible to calculate the...Ch. 4.3 - Music Education A music department Consists of a...Ch. 4.3 - Four voters. A, B. C, and D. make decisions by...Ch. 4.3 - Criminal Justice In a criminal trial, each of the...Ch. 4.3 - Criminal Justice In California civil court cases,...Ch. 4.3 - Identify any dictator and all dummies for each...Ch. 4.3 - Identify any dictator and all dummies for each...Ch. 4.3 - Identify any dictator and all dummies for each...Ch. 4.3 - Identify any dictator and all dummies for each...Ch. 4.3 - Football At the beginning of each football season,...Ch. 4.3 - Football The head coach in Exercise 23 has decided...Ch. 4.3 - Consider the weighted voting system { 60:4,56,58...Ch. 4.3 - 26. Consider the weighted voting system {...Ch. 4.3 - Consider the weighted voting system { q:8,3,3,2 },...Ch. 4.3 - 28. a. In a weighted voting system, suppose that...Ch. 4.3 - Voter Intimidation and Tampering Consider the...Ch. 4.3 - UN Security Council The United Nations C Security...Ch. 4 - Education The following table shows the...Ch. 4 - Airline Industry The following table shows the...Ch. 4 - Airline Industry The table below shows how the...Ch. 4 - 4. Education The following table shows the number...Ch. 4 - Technology A company has four offices. The...Ch. 4 - Automobile Sales Consider the apportionment of 27...Ch. 4 - Music Company MusicGalore.biz has offices in Los...Ch. 4 - Building Inspectors A city apportions 34 building...Ch. 4 - Is the Hamilton apportionment method susceptible...Ch. 4 - Is the Jefferson apportionment method susceptible...Ch. 4 - Corporate Security The Huntington-Hill...Ch. 4 - Essay Contest Four finalists are competing in an...Ch. 4 - Ski Club A campus ski club is trying o decide...Ch. 4 - Campus Election Four students are running for the...Ch. 4 - Consumer Preferences A group of consumers were...Ch. 4 - Use the pairwise comparison method of voting to...Ch. 4 - Use the pairwise comparison method of voting to...Ch. 4 - Homecoming Queen Three high school students are...Ch. 4 - Homecoming Queen In Exercise I. suppose Cynthia L....Ch. 4 - Scholarship Awards A scholarship committee must...Ch. 4 - A weighted voting system for voters A, B, C, and D...Ch. 4 - A weighted voting system for voters A. B. C. D....Ch. 4 - Calculate the Banzhaf power indices for voters A....Ch. 4 - Calculate the Banzhaf power indices for voters A,...Ch. 4 - 25. Calculate the Banzhaf power indices for voters...Ch. 4 - Calculate the Banzhaf power indices for voters A,...Ch. 4 - Identify any dictator and all dummies for each...Ch. 4 - Identify any dictator and all dummies for each...Ch. 4 - Four voters. A. B. C. and D. make decisions by...Ch. 4 - Postal Service The table below shows the number of...Ch. 4 - Computer Allocation The following table shows the...Ch. 4 - High School Counselors The following table shows...Ch. 4 - A weighted voting system for voters A, B, C, D....Ch. 4 - Consumer Preference One hundred consumers ranked...Ch. 4 - Executives Preferences A company with offices...Ch. 4 - Exam Review A professor is preparing an extra...Ch. 4 - Budget Proposal A committee must vote on which of...Ch. 4 - Drama Department The four staff members. A, B,C,...Ch. 4 - Three voters. A. B. and C, make decisions by using...

Find more solutions based on key concepts

Show solutions In problems 37-44, graph the subset of the real numbers that is represented by each of the following and write...

Mathematical Applications for the Management, Life, and Social Sciences

Solve each equation in Exercises 107120 for x, rounding your answer to four significant digits where necessary....

Finite Mathematics

Exercises You can use the following problems as a self-test on the material presented in this review. If you ca...

Essentials Of Statistics

A thin metal plate, located in the xy-plane, has temperature T(x, y) at the point (x, y). Sketch some level cur...

Multivariable Calculus

A friend of mine is giving a dinner party. His current wine supply includes 8 bottles of zinfandel, 10 of merlo...

Probability and Statistics for Engineering and the Sciences

Show that the equation x315x+c=0 has at most one root in the interval [2,2].

Calculus (MindTap Course List)

Let a=log2,b=log3, and c=log7. In Exercises 2946, use the logarithm identities to express the given quantity in...

Applied Calculus

Marketing: Bargain Hunters In a marketing survey, a random sample of 1001 supermarket shoppers revealed that 27...

Understanding Basic Statistics

A score that is 6 points below the mean corresponds to a z-score of z=2.00. What is the population standard dev...

Statistics for The Behavioral Sciences (MindTap Course List)

In Exercises 85-88, determine whether the statement is true or false. If it is true, explain why it is true. If...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

For Problems 1-10, answer true or false. In the metric system, 1 centimeter = 10 millimeters.

Intermediate Algebra

Research results suggest that IQ scores for boys are more variable than IQ scores for s girls (Arden Plomin, 2...

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Express the function in the form f g. 45. F(x)=x31+x3

Single Variable Calculus

In Exercises 15-18, find the limit (if it exists). limx3x2+2x3x2+4x+3

Calculus: An Applied Approach (MindTap Course List)

Find the limit or show that it does not exist. limx4x3+6x222x34x+5

Single Variable Calculus: Early Transcendentals, Volume I

Evaluate expressions in Exercises 3756, rounding your answer to four significant digits where necessary. 14

Finite Mathematics and Applied Calculus (MindTap Course List)

Scientific Notation These exercises involve scientific notation. 22. Write the number 2.08 108 in ordinary dec...

Precalculus: Mathematics for Calculus (Standalone Book)

(a) A company makes computer chips from square wafers of silicon. It wants to keep the side length o f a wafer ...

Calculus: Early Transcendentals

Finding a Derivative of a Transcendental Function In Exercises 43-60, find the derivative of the transcendental...

Calculus: Early Transcendental Functions

Divide: 250+70

Elementary Technical Mathematics

In Exercises 17 to 20, find the value of the variable named in each formula. Leave in the answers for Exercise...

Elementary Geometry For College Students, 7e

For the second quarter. Evergreen Plant Nursery had gross sales of $214,300, sales returns and allowances of $2...

Contemporary Mathematics for Business & Consumers

Let R be a commutative ring with unity whose only ideals are {0} and R Prove that R is a field.(Hint: See Exerc...

Elements Of Modern Algebra

For Questions 1 through 8, fill in the blank with an appropriate word or expression. The notation a+bi is calle...

Trigonometry (MindTap Course List)

(a) Use Newtons method with x1 = 1 to find the root of the equation x3 x = 1 correct to six decimal places. (b...

Single Variable Calculus: Early Transcendentals

In how many ways can a member of a hiring committee select 3 of 12 job applicants for further considerations?

Finite Mathematics for the Managerial, Life, and Social Sciences

Differential Equation In Exercises 29-32, find the general solution of the differential equation. dydx=x+1(x2+2...

Calculus: Early Transcendental Functions (MindTap Course List)

A rectangle MNPQ has three of its vertices at M0, 0,Na,0, and Q0,b. Find the fourth vertex P and the area of th...

Elementary Geometry for College Students

Finding Composite Functions In Exercises 53 and 54. Find the composite functions f g and gf.Find the domain of ...

Calculus of a Single Variable

Refer to the drill jig shown. Determine 1.

Mathematics For Machine Technology

In exercises 29-32, you are planning a survey for which the findings are to have the specified level of confide...

Mathematics: A Practical Odyssey

Use an element argument to prove each statement in 7-22. Assume that all sets are subsets of a universal set U....

Discrete Mathematics With Applications

True or False:
yâ€² + xey = ex+y is separable.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Using the Second Partials TestIn Exercises 924, find all relative extrema and saddle points of the function. Us...

Multivariable Calculus

Perpendicular Vectors Consider the vector-valued function r(t)=(etsint)i+(etcost)j. Show that r(t) and r(t) are...

Calculus (MindTap Course List)

Describe quota sampling, recognize examples of this technique in research reports, and explain why it is used.

Research Methods for the Behavioral Sciences (MindTap Course List)

A researcher has a sample of 30 rats that are all cloned from the same source. The 30 rats are genetically iden...

Research Methods for the Behavioral Sciences (MindTap Course List)

A population has a mean of 200 and a standard deviation of 50. Suppose a sample of size 100 is selected and x i...

Essentials Of Statistics For Business & Economics

To inspect incoming shipments of raw materials, a manufacturer is considering samples of sizes 10, 15, and 19. ...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Tossing a Die You toss a six-sided die four times. What is the probability of getting four 5â€™s?

College Algebra

True or False:
By the Integral Test, converges.

Study Guide for Stewart's Multivariable Calculus, 8th

Finding Maxima and Minima In Exercises S-25 through S-32, find the maximum or minimum. In each we suppose that ...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

Consider the data set in Table 1.7 a. Compute the average endowment for the sample. b. Compute the average perc...

Statistics for Business & Economics, Revised (MindTap Course List)

The U.S. Department of Transportation reported the data in the accompanying table on the number of speed-relate...

Introduction To Statistics And Data Analysis

Fill in the blanks. If every entry in one row or one column of A is zero, then A=______.

College Algebra (MindTap Course List)