Business
Engineering
Math
Science
Social Science
Computer Usage The table below shows the number of computers that are assigned to four different schools and the number of students in those schools. Use the Huntington-Hill apportionment principle to determine to which school a new computer should be assigned.
BuyFindarrow_forward
Mathematical Excursions (MindTap C...
4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584
Solutions
Chapter
Section
BuyFindarrow_forward
Mathematical Excursions (MindTap C...
4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584
Chapter 4.1, Problem 23ES
Textbook Problem
105 views
Computer Usage The table below shows the number of computers that are assigned to four different schools and the number of students in those schools. Use the Huntington-Hill apportionment principle to determine to which school a new computer should be assigned.
To determine
Use the Huntington-Hill apportionment principle to determine to which school a new computer should be assigned.
Explanation of Solution
Given Information:
| School | Number of Computers | Number of students |
| Rose | | |
| Lincoln | | |
| Midway | | |
| Valley | | |
Concept used:
District size
Calculation:
In Huntington hill method first we calculate the district size, formula for district size is.
Therefore,
Now calculate state quota by dividing each number of students by
| School | Number of computer | Number of Students | State Quota | | | Geometric Mean | Number of Computers |
| Rose | | | |
Chapter 4 Solutions
Mathematical Excursions (MindTap Course List)
Show all chapter solutions
addCh. 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...
Additional Math Textbook Solutions
Find more solutions based on key concepts
Show solutions addIn Problems 19-44, factor completely.
36.
Mathematical Applications for the Management, Life, and Social Sciences
Evaluate expressions in Exercises 3756, rounding your answer to four significant digits where necessary. 94
Finite Mathematics
Consider a deck consisting of seven cards, marked 1, 2,..., 7. Three of these cards are selected at random. Def...
Probability and Statistics for Engineering and the Sciences
Graphing Polynomials Factor the polynomial and use the factored form to find the zeros. Then sketch the graph. ...
Precalculus: Mathematics for Calculus (Standalone Book)
What information is available about the scores in a regular frequency distribution table that you cannot obtain...
Statistics for The Behavioral Sciences (MindTap Course List)
In Exercises 4756, solve the given equation for the indicated variable. 10,000=700(1.043t+1) (Round the answer ...
Finite Mathematics and Applied Calculus (MindTap Course List)
Solve the initial-value problem. 17. tdudt=t2+3u,t0,u(2)=4
Calculus: Early Transcendentals
Determining Differentiability In Exercises 53-58, describe the x-values at which the function is differentiable...
Calculus: An Applied Approach (MindTap Course List)
By any method, determine all possible real solutions of each equation in Exercises 1330. Check your answers by ...
Applied Calculus
A researcher is curious about the average distance traveled by Canada geese during peak fall migration in the s...
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
For Problems 55-64, answer the question with an algebraic expression. The perimeter of a rectangle is 50 centim...
Intermediate Algebra
Factor each expression. (a) 4x2 25 (b) 2x2 + 5x 12 (c) x3 3x2 4x + 12 (d) x4 + 27x (e) 3x3/2 9x1/2 + 6x1/2...
Single Variable Calculus: Early Transcendentals, Volume I
Use the following steps to show that the sequence tn=1+12+13++1nlnn has a limit. (The value of the limit is den...
Multivariable Calculus
ENCLOSING AN AREA Juanita wishes to have a rectangular garden in her backyard with an area of 250 ft2. Letting ...
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Graph the surface and the tangent plane at the given point. Choose the domain and viewpoint so that you get a g...
Calculus (MindTap Course List)
You are the governor of the state and must decide which of four metropolitan police departments will win an awa...
Essentials Of Statistics
Critical Thinking: Lurking Variables Over the past few years, there has been a strong positive correlation betw...
Understanding Basic Statistics
Evaluate the limit, if it exists. 28. limx2x24x+4x43x24
Single Variable Calculus
Force on a Submerged Sheet In Exercises 7 and 8, the area of the top side of a piece of sheet metal is given. T...
Calculus: Early Transcendental Functions
What is the alternator-to-engine drive ratio if the alternator turns at 1125 rpm when the engine is idling at 5...
Elementary Technical Mathematics
Given O with radii OA- and OB- and chord AB-. aWhat type of figure sector or segment is bounded by AB- and AB? ...
Elementary Geometry For College Students, 7e
For Problems 21 through 24, use 3.1416 for unless your calculator has a key marked . Use a calculator to conve...
Trigonometry (MindTap Course List)
Perform the indicated operation for the following. 1,205491
Contemporary Mathematics for Business & Consumers
Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval...
Single Variable Calculus: Early Transcendentals
Determine whether each of the following polynomials has a zero in the given field . If a polynomial has zeros i...
Elements Of Modern Algebra
Let [abcd] be the payoff matrix associated with a nonstrictly determined 22 matrix game. Prove that the expecte...
Finite Mathematics for the Managerial, Life, and Social Sciences
In Exercises 9 to 24, find an equation of the line described. Leave the solution in the form Ax+By = C. The lin...
Elementary Geometry for College Students
Using the Direct Comparison Test or the Limit Comparison Test In Exercises 49-54, use the Direct Comparison Tes...
Calculus of a Single Variable
Rectangular-to-Polar Conversion In Exercises 67-72, convert the rectangular equation to polar form and sketch i...
Calculus: Early Transcendental Functions (MindTap Course List)
Find the volume of the machined piece shown. Round the answer to 2 decimal places.
Mathematics For Machine Technology
According to the National Automobile Dealers Association, the mean price for used carsis 10,192. A manager of a...
Statistics for Business & Economics, Revised (MindTap Course List)
Solve the each system of equation by graphing. {x213=y2y=2x4
College Algebra (MindTap Course List)
The surface given by z = −r2 in cylindrical coordinates is a(n):
elliptic cone
hyperboloid of one sheet
hyperbo...
Study Guide for Stewart's Multivariable Calculus, 8th
A researcher uses content analysis to determine the amount of violence in a Saturday morning cartoon television...
Research Methods for the Behavioral Sciences (MindTap Course List)
Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be compl...
STATISTICS F/BUSINESS+ECONOMICS-TEXT
Describe the general concept of sampling error and explain why this concept creates a problem to be addressed b...
Research Methods for the Behavioral Sciences (MindTap Course List)
Consumer Reports provides ratings for televisions, including energy cost per year (consumerreports.org/products...
Introduction To Statistics And Data Analysis
Continuity of a Composite Function In Exercises 67-70, discuss the continuity of the composite function fg. f(t...
Multivariable Calculus
Find a definite integral for the hydrostatic force exerted by a liquid with density 800 kg/m3 on the semicircul...
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Harmonic Function A function f is called harmonic when 2fx2+2fy2=0 Prove that if f is harmonic, then C(ydxxdy)=...
Calculus (MindTap Course List)
In 9-11, prove each of the given statements, assuming that a,b,c,d,and n are integers with n>1 and that a=c(mod...
Discrete Mathematics With Applications
City Electronics Distributors handles two lines of televisions, the Packard and the Bell. It purchases up to 57...
Mathematics: A Practical Odyssey
In Problem 25–28 find dX/dt.
25.
A First Course in Differential Equations with Modeling Applications (MindTap Course List)
In Exercises 13-18, perform the operation(s) using the matrices below, if possible. A=1362,B=2501,C=401321 A2
College Algebra
Slopes of Lines in the Coordinate Plane For Exercises S-14 through S-25, use the fact that for points (a1,b1) a...
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
1. A process that is in control has a mean of = 12.5 and a standard deviation of = .8.
Construct the control...
Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
Living with Family. Consider the following example survey results of 18- to 34-year-olds in the United States, ...
Essentials Of Statistics For Business & Economics
