Math

Mathematical Excursions (MindTap Course List)High School Counselors The following table shows the number of counsellors and the number of students at two high schools. The current number of counsellors for each school was determined using the Huntington-Hill apportionment method. A new counsellor is to be hired for one of the schools. a. Calculate the Huntington-Hill number for each of the schools. Round to the nearest whole number. b. Use the Huntington-Hill apportionment principle to determine to which school the new counselor should be assigned.BuyFind*launch*

4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4, Problem 3T

Textbook Problem

High School Counselors The following table shows the number of **counsellors** and the number of students at two high schools. The current number of counsellors for each school was determined using the Huntington-Hill apportionment method.

A new counsellor is to be hired for one of the schools.

a. Calculate the Huntington-Hill number for each of the schools. Round to the nearest whole number.

b. Use the Huntington-Hill apportionment principle to determine to which school the new counselor should be assigned.

Mathematical Excursions (MindTap Course List)

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

In Problems 35-42, simplify each complex fraction.
42.

Mathematical Applications for the Management, Life, and Social Sciences

Wire electrical-discharge machining (WEDM) is a process used to manufacture conductive hard metal components. I...

Probability and Statistics for Engineering and the Sciences

In Exercises 2934, rationalize the denominator of each expression. 33. a+bab

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

Convert the expressions in Exercises 8596 radical form. 32x1/4

Finite Mathematics and Applied Calculus (MindTap Course List)

Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the...

Single Variable Calculus: Early Transcendentals, Volume I

For the following set of scores, find the value of each expression: X 1 2 4 1 3 a. X2 b. (X)2 c. (X + 1) d. (X ...

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

11-14 Find the differential dy of each function. a y=1+2u1+3u b y=2sin2

Calculus (MindTap Course List)

Find the area of the region under the given curve from 1 to 2. 65.y=x2+13xx2

Calculus: Early Transcendentals

For Problems 9-19. please provide the following information. (a) What is the level of significance? State the n...

Understanding Basic Statistics

Calculate each expression in Exercises 124, giving the answer as a whole number or a fraction in lowest terms. ...

Applied Calculus

CONCEPT CHECK Limits at Infinity In your own words, summarize the guidelines for finding limits at infinity of ...

Calculus: Early Transcendental Functions

For each of the following confidence levels, determine the corresponding Z score. Confidence Level Alpha Area B...

Essentials Of Statistics

Around Halloween each year the grocery store sells three -pound bags of candy contains a mixture of three diffe...

Statistics for The Behavioral Sciences (MindTap Course List)

Finding the Area Under a Curve Find the area of the region that lies under the graph of f over the given interv...

Precalculus: Mathematics for Calculus (Standalone Book)

Explain what it means to say that limx1f(x)=3andlimx1+f(x)=7 In this situation is it possible that limx1 f(x) e...

Single Variable Calculus

Simplify the algebraic expressions in Problems 15-34 by removing parentheses and combining similar terms. Objec...

Intermediate Algebra

Finding Intercepts In Exercises 6570, use a graphing utility to graph the equation and approximate the x- and y...

Calculus: An Applied Approach (MindTap Course List)

Find a power series representation for the function and determine the interval of convergence. 6. f(x)=42x+3

Multivariable Calculus

Solve for y in terms of x: 2x3y=15

Elementary Technical Mathematics

Estimate the following by rounding each number to hundreds; then divide to get the exact answer.
...

Contemporary Mathematics for Business & Consumers

Establish the following rules for working with differentials (where c denotes a constant and u and v are functi...

Single Variable Calculus: Early Transcendentals

Label each of the following statement as either true or false.
Let and be integers with. Then if and only i...

Elements Of Modern Algebra

Write each of the following in terms of sin and cos ; then simplify if possible. tancot

Trigonometry (MindTap Course List)

Review Exercises Given: ABCD is a parallelogram DC-BN- 34 Prove: ABCD is a rhombus

Elementary Geometry For College Students, 7e

WILL YOU INCUR A DELIVERY CHARGE? A furniture store offers free setup and delivery services to all points withi...

Finite Mathematics for the Managerial, Life, and Social Sciences

Finding Arc Length In Exercises 7-20, find the arc length of the graph of the function over the indicated inter...

Calculus of a Single Variable

In Exercises 5 to 8, draw the graph of each equation by using the method of Example 3. y=2x-3

Elementary Geometry for College Students

Estimating Errors In Exercises 2932, use the error formulas in Theorem 5.20 to find n such that the error in th...

Calculus: Early Transcendental Functions (MindTap Course List)

In the graph below, determine whether the following walks are trails, paths, closed walks, circuits, simple cir...

Discrete Mathematics With Applications

Make up a linear programming problem a math problem, not a word problem that has no minimum.

Mathematics: A Practical Odyssey

For each of the following problems, substitute the given values in the formula and solve for the unknown. Check...

Mathematics For Machine Technology

In addition to the key words, you should also be able to define the following terms: Within-subjects design Bet...

Research Methods for the Behavioral Sciences (MindTap Course List)

A production line operates with a mean filling weight of 16 ounces per container. Overfilling or underfilling p...

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

Find a definite integral for the area of the surface of revolution about the x-axis obtained by rotating the cu...

Study Guide for Stewart's Multivariable Calculus, 8th

Reminder Round all answers to two decimal places unless otherwise indicated. Credit Card Payments You make one ...

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

The percentage of teens not in school or working in 2010 for the 50 states were given in the 2012 Kids Count Da...

Introduction To Statistics And Data Analysis

Make up a set of 10 pairs of scores (X and Y values) so that the Pearson correlation between X and Y is approxi...

Research Methods for the Behavioral Sciences (MindTap Course List)

Using a Continuous Function Let f be continuous on the interval [0, b], where f(x)+f(bx)0 on [0, b]. (a) Show t...

Calculus (MindTap Course List)

Solve each equation or inequality. |x+1|=6

College Algebra (MindTap Course List)

Consider the following hypothesis test: H0: = 18 Ha: 18 A sample of 48 provided a sample mean x= 17 and a sa...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

In the city of Milford, applications for zoning changes go through a two-step process: a review by the planning...

Essentials Of Statistics For Business & Economics

If 13f(x)dx=10 and 13g(x)dx=6, then 13(2f(x)3g(x))dx= a) 2 b) 4 c) 18 d) 38

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

EXPLORING CONCEPTS Using the Second Partials Test A function f has continuous second partial derivatives on an ...

Multivariable Calculus

[T] A race car is accelerating at a velocity given by v(t)=254t+54 , where v is the velocity (in feet per secon...

Calculus Volume 1

In Problems 1116 use an appropriate series in (2) to find the Maclaurin series of the given function. Write you...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

Approximate the points at which the graphs of f(x)=2x21 and g(x)=(1+4x2)3/2 intersect, and approximate the area...

Calculus Volume 2

Finding a Polynomial Function In Exercises 63-70, find a polynomial of degree n that has the given zero(s). (Th...

College Algebra

Suppose the null hypothesis. H0. Is: a patient is not sick. Which type of error has the greater consequence, 1p...

Introductory Statistics

35. The time between arrivals of vehicles at a particular intersection follows an exponentialÂ probability distr...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)