Mathematical Excursions (MindTap Course List)
4th Edition
ISBN: 9781305965584
Author: Richard N. Aufmann, Joanne Lockwood, Richard D. Nation, Daniel K. Clegg
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 4, Problem 3RE
Airline Industry The table below shows how the average constituency changes when two different airports. High Desert Airport and Eastlake Airport, add a new air traffic controller.
a. Determine the relative unfairness of an apportionment that gives a new air traffic controller to High Desert Airport rather than to Eastlake Airport. Round to the nearest thousandth.
b. Determine the relative unfairness of an apportionment that gives a new air traffic controller to Eastlake Airport rather than to High Desert Airport. Round to the nearest thousandth.
c. Using the apportionment principle, determine which airport should receive the new air traffic controller.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
State A and state B are each candidates for an extra congressional representative. The relative unfairness of apportionment for state A is approximately 0.35, whereas for state B it is about 0.348. According to the apportionment principle, which of the two states should receive a new representative? Explain why.
State A, because it has the larger relative unfairness.
State A, because it has the smaller relative unfairness.
State B, because it has the larger relative unfairness.
State B, because it has the smaller relative unfairness
The boxplots show prices of used cars (in thousands of dollars) advertised for sale at three different car dealers.
Which dealer has the smallest price range?
a. Ace
B. Cannot be determined
C. BuyIt
D. CarZ
The table shows the county's populations after a 2020 census. Complete the table using
Hamilton's method to apportion the 30 seats for the populations after 2000. Round all
standard quotas and the divisor to 7 decimal places if needed. You can use a spreadsheet
to help you figure out an answer or calculate using a calculator.
Find the divisor. Enter your answer in the space provided below.
Divisor:
State
Population
Standard
Initial Quotas
Final Quotas
2000
Quotas
43,913
72,543
168,244
284,700
А
B
C
Total
Chapter 4 Solutions
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 - Prob. 3EECh. 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 - Prob. 4ESCh. 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 - Prob. 18ESCh. 4.1 - Management Scientific Research Corporation has...Ch. 4.1 - Prob. 20ESCh. 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 - Prob. 25ESCh. 4.1 - Prob. 26ESCh. 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 - Prob. 32ESCh. 4.1 - John Quincy Adams, the sixth president of the...Ch. 4.1 - In the Huntington-Hill method of apportionment,...Ch. 4.1 - Prob. 35ESCh. 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 - Prob. 3EECh. 4.2 - Suppose the Borda method used in Exercise I of...Ch. 4.2 - Prob. 5EECh. 4.2 - Can the assignment of points for first. Second,...Ch. 4.2 - Prob. 7EECh. 4.2 - Prob. 1ESCh. 4.2 - Explain why the plurality voting system may not be...Ch. 4.2 - Prob. 3ESCh. 4.2 - Explain how the plurality with elimination voting...Ch. 4.2 - Prob. 5ESCh. 4.2 - Prob. 6ESCh. 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 - Prob. 15ESCh. 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 - Prob. 22ESCh. 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 - Prob. 26ESCh. 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 - Prob. 29ESCh. 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 - Prob. 33ESCh. 4.2 - Prob. 34ESCh. 4.2 - Prob. 35ESCh. 4.2 - Prob. 36ESCh. 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 - Prob. 42ESCh. 4.2 - Prob. 43ESCh. 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 - Prob. 3EECh. 4.3 - Prob. 4EECh. 4.3 - Create a voting system with three members that is...Ch. 4.3 - Prob. 6EECh. 4.3 - Prob. 7EECh. 4.3 - In the following exercises that involve weighted...Ch. 4.3 - In the following exercises that involve weighted...Ch. 4.3 - Prob. 3ESCh. 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 - Prob. 8ESCh. 4.3 - Prob. 9ESCh. 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 - Prob. 13ESCh. 4.3 - Prob. 14ESCh. 4.3 - Music Education A music department Consists of a...Ch. 4.3 - Prob. 16ESCh. 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 - Prob. 21ESCh. 4.3 - Prob. 22ESCh. 4.3 - Football At the beginning of each football season,...Ch. 4.3 - Prob. 24ESCh. 4.3 - Prob. 25ESCh. 4.3 - Prob. 26ESCh. 4.3 - Consider the weighted voting system { q:8,3,3,2 },...Ch. 4.3 - Prob. 28ESCh. 4.3 - Prob. 29ESCh. 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 - Prob. 9RECh. 4 - Prob. 10RECh. 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 - Prob. 14RECh. 4 - Consumer Preferences A group of consumers were...Ch. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Homecoming Queen Three high school students are...Ch. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - A weighted voting system for voters A. B. C. D....Ch. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - 25. Calculate the Banzhaf power indices for voters...Ch. 4 - Calculate the Banzhaf power indices for voters A,...Ch. 4 - Prob. 27RECh. 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 - Prob. 4TCh. 4 - Consumer Preference One hundred consumers ranked...Ch. 4 - Prob. 6TCh. 4 - Exam Review A professor is preparing an extra...Ch. 4 - Prob. 8TCh. 4 - Drama Department The four staff members. A, B,C,...Ch. 4 - Three voters. A. B. and C, make decisions by using...
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
- Pet Owners According to the Humane Society, in 2015, 65% of U.S. households owned at least one pet, and 42% of households who did own pets owned at least two. The U.S. Census Bureau tells us that there were 117 million households in 2015. How many households owned at least two pets? Report your answer in millions rounded to two places.arrow_forwardplz explain in detailarrow_forwardIdentify the population being studied and the sample chosen. The heights of 5 out of the 33 green bean plants at Mr. Lonardo's greenhouse. Answer 囲 Tables 国 Keypad Keyboard Shortcuts Population: The 33 green bean plants at Mr. Lonardo's greenhouse. Sample: The 5 green bean plants at Mr. Lonardo's greenhouse. Population: All green bean plants in greenhouses. Sample: The 33 green bean plants at Mr. Lonardo's greenhouse. Population: All green bean plants in greenhouses. Sample: The 5 green bean plants at Mr. Lonardo's greenhouse.arrow_forward
- The dotplot shows the distribution of passing rates for the bar exam at 185 law schools in the United States in a certain year. The five number summary is 27, 77, 87, 91, 99. Draw the boxplot and explain how you determined where the whiskers go. Click the icon to view-a dotplot of bar exam passing rates. Draw the boxplot. Select the correct answer below. O A. 0 O B. 100 0 Bar-Pass Rate (%) 100 Bar-Pass Rate (%) ♫ + OC. Q 0 G 100 0 Bar-Pass Rate (%) + Q G 100 Bar-Pass Rate (%)arrow_forwardA random sample of 40 companies with assets over $10 million was surveyed and asked to indicate their industry and annual computer technology expense. The ANOVA comparing the average computer technology expense among three industries rejected the null hypothesis. The mean square error (MSE) was 211. The following table summarized the results: Education Tax Services Food Services Number Sampled 10 14 16 Mean Expense (1,000,000s) 18 47.5 52 When comparing the mean annual computer technology expense for companies in the tax services and education industries, which of the following 95% confidence interval can be constructed?arrow_forwardThe dotplot shows the distribution of passing rates for the bar exam at 185 law schools in the United States in a certain year. The five number summary is 27, 77, 87, 91, 99. Draw the boxplot and explain how you determined where the whiskers go. Click the icon to view.a dotplot of bar exam passing rates. Draw the boxplot. Select the correct answer below. OA. 0 100 Bar-Pass Rate (%) OB. Q G 100 Bar-Pass Rate (%) 0 Bar-Pass Rate (%) 100 O D. Q Q Q G 0 100 Bar-Pass Rate (%) Explain how you determined where the whiskers go. Select the correct answer below and fill in the answer boxes to complete your choice. (Type integers or decimals. Do not round.) OA. The whiskers extend to the minimum, and the maximum, OB. The whiskers identify the range of values that Q1 and Q3 will likely be found in for a given number of trials. The whiskers extend to the smallest expected value of Q1, expected value of Q3, OC. The whiskers extend to the most extreme values that are not potential outliers. The left…arrow_forward
- The dotplot shows the distribution of passing rates for the bar exam at 185 law schools in the United States in a certain year. The five number summary is 28, 78, 86, 91.5, 99. Draw the boxplot and explain how you determined where the whiskers go. Click the icon to view a dotplot of bar exam passing rates. Draw the boxplot. Select the correct answer below. ○ A. 100 Bar-Pass Rate (%) ○ B. Q ✓ 0 100 Bar-Pass Rate (%) ○ C. ○ D. Q Q --- 0 Bar-Pass Rate (%) 100 G 0 100 Bar-Pass Rate (%) Explain how you determined where the whiskers go. Select the correct answer below and fill in the answer boxes to complete your choice. (Type integers or decimals. Do not round.) OA. The whiskers extend to the most extreme values that are not potential outliers. The left whisker extends to the smallest observation that is greater than or equal to extends to the largest observation that is less than or equal to OB. The whiskers extend to the minimum, OC. The whiskers extend to the left outlier, and the…arrow_forwardPlease answer question a, b, c, d, e, f. Incomplete answer will not receive ''like''.arrow_forwardWildlife scientists wish to estimate the population of squirrels in a large forest perserve. To do this, they capture a sample of 300 squirrels from randomly selected sites in the forest; the squirrels are tagged and released. The following week, they catch another sample of 300 squirrels, and observe that the sample contains 18 tagged squirrels. Please estimate the total number of squirrels in the forst preserve.arrow_forward
- You may need to use the appropriate technology to answer this question. Social networking is becoming more and more popular around the world. A survey was conducted of adults in several countries to determine the percentage of adults who use social networking sites. Assume that the results for surveys in Great Britain, Israel, Russia, and the United States are as follows. Use SocialNetworking Sites Country GreatBritain (GB) Israel (I) Russia (R) UnitedStates (US) Yes 328 255 287 480 No 472 245 413 520 (a) Conduct a hypothesis test to determine whether the proportion of adults using social networking sites is equal for all four countries. State the null and alternative hypotheses. H0: Not all population proportions are equal.Ha: pGB = pI = pR = pUSH0: pGB = pI = pR = pUSHa: All population proportions are not equal. H0: All population proportions are not equal.Ha: pGB = pI = pR = pUSH0: pGB = pI = pR = pUSHa: Not all population proportions are equal. Find the value of…arrow_forwardK The table to the right shows four states, their 2010 populations, and their number of seats in a particular branch of government, which has a total of 348 seats. For state D, find the standard quota. Use the value 346 million for the total population. Explain whether each state is relatively under- or overrepresented in the House. Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. State D is underrepresented because its standard quota of OB. State D is overrepresented because its standard quota of A State Population Seats 11,791,000 12 16,332,000 16 10,705,000 10 12,675,000 13 B D is more than its number of representatives, 13. is less than its number of representatives, 13.arrow_forwardhelparrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Propositional Logic, Propositional Variables & Compound Propositions; Author: Neso Academy;https://www.youtube.com/watch?v=Ib5njCwNMdk;License: Standard YouTube License, CC-BY
Propositional Logic - Discrete math; Author: Charles Edeki - Math Computer Science Programming;https://www.youtube.com/watch?v=rL_8y2v1Guw;License: Standard YouTube License, CC-BY
DM-12-Propositional Logic-Basics; Author: GATEBOOK VIDEO LECTURES;https://www.youtube.com/watch?v=pzUBrJLIESU;License: Standard Youtube License
Lecture 1 - Propositional Logic; Author: nptelhrd;https://www.youtube.com/watch?v=xlUFkMKSB3Y;License: Standard YouTube License, CC-BY
MFCS unit-1 || Part:1 || JNTU || Well formed formula || propositional calculus || truth tables; Author: Learn with Smily;https://www.youtube.com/watch?v=XV15Q4mCcHc;License: Standard YouTube License, CC-BY