Mathematics All Around (6th Edition)
6th Edition
ISBN: 9780134434681
Author: Tom Pirnot
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 10.3, Problem 15E
To determine
To apportion:
The representatives of council using Adams method.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
There are four Olympians, Anne, Babaganoush, Carol, and David on the Canadian bobsledding team. As shown in the picture, all four members are needed to race at the same time. Only Babaganoush and Carol are qualified to be in the 1st position. Any member can fill the rest of the spots.
a.Determine the number of possible arrangements of the team
The Civic Arts Guild is having a show. There is room for 33 booths. The guild has 80 painters, 59 sculptors, and 57 weavers. Use the Hamilton method to apportion the booths to each of the three groups.
The painters should have booths, the sculptors should have booths, and the weavers should have booths.
II.
With 75 representatives. Use the Jefferson's method to determine the number of
representatives each county should have. (20PTS)
COUNTY
Bristol
Kent
Newport
Providence
Washington
POPULATION
49,875
166,158
82,888
626,667
126,979
Chapter 10 Solutions
Mathematics All Around (6th Edition)
Ch. 10.1 - Sharpening your Skills In Exercises 1-6, use the...Ch. 10.1 - Sharpening your Skills In Exercises 1-6, use the...Ch. 10.1 - Sharpening your Skills In Exercises 1-6, use the...Ch. 10.1 - Sharpening your Skills In Exercises 1-6, use the...Ch. 10.1 - Sharpening your Skills In Exercises 1-6, use the...Ch. 10.1 - Prob. 6ECh. 10.1 - Sharpening Your Skills If the American Nurses...Ch. 10.1 - Prob. 8ECh. 10.1 - Sharpening your Skills Which state is more poorly...Ch. 10.1 - Prob. 10E
Ch. 10.1 - Sharpening your Skills Recall that on a 10-member...Ch. 10.1 - Sharpening your Skills Redo Exercise 11 for Aroco...Ch. 10.1 - Sharpening your Skills Apportioning...Ch. 10.1 - Sharpening your Skills Apportioning...Ch. 10.1 - Applying What Youve Learned The Alabama paradox....Ch. 10.1 - Applying What Youve Learned The Alabama paradox....Ch. 10.1 - Applying What Youve Learned The Alabama paradox...Ch. 10.1 - Prob. 18ECh. 10.1 - Prob. 19ECh. 10.1 - Prob. 20ECh. 10.1 - Prob. 21ECh. 10.1 - Prob. 25ECh. 10.1 - Prob. 26ECh. 10.1 - Prob. 27ECh. 10.1 - Prob. 28ECh. 10.2 - Prob. 1ECh. 10.2 - Prob. 2ECh. 10.2 - Prob. 3ECh. 10.2 - Prob. 4ECh. 10.2 - Prob. 5ECh. 10.2 - Prob. 6ECh. 10.2 - Prob. 7ECh. 10.2 - Prob. 8ECh. 10.2 - Prob. 9ECh. 10.2 - Prob. 10ECh. 10.2 - Prob. 11ECh. 10.2 - Prob. 12ECh. 10.2 - Prob. 13ECh. 10.2 - Prob. 14ECh. 10.2 - Prob. 15ECh. 10.2 - Prob. 16ECh. 10.2 - Prob. 17ECh. 10.2 - Prob. 18ECh. 10.2 - Prob. 19ECh. 10.2 - Prob. 20ECh. 10.2 - Prob. 21ECh. 10.2 - Prob. 22ECh. 10.2 - Prob. 23ECh. 10.2 - Prob. 24ECh. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - Prob. 27ECh. 10.2 - Prob. 28ECh. 10.2 - Prob. 29ECh. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - Prob. 32ECh. 10.2 - Prob. 33ECh. 10.2 - Prob. 34ECh. 10.3 - In Exercises 1-4, we give you a total population,...Ch. 10.3 - Prob. 2ECh. 10.3 - In Exercises 1-4, we give you a total population,...Ch. 10.3 - Prob. 4ECh. 10.3 - Prob. 5ECh. 10.3 - Use the Jefferson method to assign the seats on...Ch. 10.3 - Prob. 7ECh. 10.3 - Prob. 8ECh. 10.3 - Choosing representatives on a negotiations...Ch. 10.3 - Prob. 10ECh. 10.3 - Prob. 11ECh. 10.3 - Use the Webster method to apportion the members of...Ch. 10.3 - Prob. 13ECh. 10.3 - Prob. 14ECh. 10.3 - Prob. 15ECh. 10.3 - Prob. 16ECh. 10.3 - Prob. 17ECh. 10.3 - Prob. 18ECh. 10.3 - Prob. 19ECh. 10.3 - Prob. 20ECh. 10.3 - Prob. 21ECh. 10.3 - Prob. 22ECh. 10.3 - Prob. 23ECh. 10.3 - Use the Webster method to assign the number of...Ch. 10.3 - Prob. 25ECh. 10.3 - Prob. 26ECh. 10.3 - Prob. 27ECh. 10.3 - In Exercises 25-32, we use the Hamilton method to...Ch. 10.3 - Prob. 29ECh. 10.3 - Prob. 30ECh. 10.3 - In Exercises 25-32, we use the Hamilton method to...Ch. 10.3 - In Exercises 25-32, we use the Hamilton method to...Ch. 10.3 - Exercises 33-36Illustrate that the Jefferson and...Ch. 10.3 - Prob. 34ECh. 10.3 - Prob. 35ECh. 10.3 - Prob. 36ECh. 10.3 - Prob. 37ECh. 10.3 - Prob. 38ECh. 10.3 - Prob. 39ECh. 10.3 - Prob. 40ECh. 10.3 - Prob. 43ECh. 10.3 - Prob. 44ECh. 10.3 - Prob. 45ECh. 10.3 - Prob. 46ECh. 10.3 - Prob. 47ECh. 10.4 - Identify each situation as dealing with either...Ch. 10.4 - Identify each situation as dealing with either...Ch. 10.4 - Use the method of sealed bids to complete the...Ch. 10.4 - Prob. 4ECh. 10.4 - Use the method of sealed bids to complete the...Ch. 10.4 - Prob. 6ECh. 10.4 - Prob. 7ECh. 10.4 - Prob. 8ECh. 10.4 - Prob. 9ECh. 10.4 - Use the method of sealed bids to complete the...Ch. 10.4 - Prob. 11ECh. 10.4 - Prob. 12ECh. 10.4 - Prob. 13ECh. 10.4 - Prob. 14ECh. 10.4 - Prob. 15ECh. 10.4 - In Exercises 15 and 16, use the method of sealed...Ch. 10.4 - Prob. 17ECh. 10.4 - Prob. 18ECh. 10.4 - Prob. 19ECh. 10.4 - Prob. 20ECh. 10.4 - Prob. 21ECh. 10.4 - Prob. 22ECh. 10.4 - Prob. 23ECh. 10.4 - Prob. 24ECh. 10.4 - Prob. 25ECh. 10.4 - Prob. 26ECh. 10.4 - Prob. 27ECh. 10.4 - Prob. 28ECh. 10.CR - Prob. 1CRCh. 10.CR - Prob. 2CRCh. 10.CR - Prob. 3CRCh. 10.CR - Prob. 4CRCh. 10.CR - Prob. 5CRCh. 10.CR - Prob. 6CRCh. 10.CR - Prob. 7CRCh. 10.CR - Prob. 8CRCh. 10.CR - Prob. 9CRCh. 10.CR - Prob. 10CRCh. 10.CR - Prob. 11CRCh. 10.CR - Prob. 12CRCh. 10.CR - Prob. 13CRCh. 10.CR - Prob. 14CRCh. 10.CR - Prob. 15CRCh. 10.CR - Prob. 16CRCh. 10.CT - What is the Alabama paradox?Ch. 10.CT - Suppose state C has a population of 1,640,000 and...Ch. 10.CT - The Metropolitan Community College Arts Council...Ch. 10.CT - Prob. 4CTCh. 10.CT - Suppose that Arizona has a population of 5.23...Ch. 10.CT - Prob. 6CTCh. 10.CT - Prob. 7CTCh. 10.CT - Prob. 8CTCh. 10.CT - Prob. 9CTCh. 10.CT - Prob. 10CTCh. 10.CT - Prob. 11CTCh. 10.CT - Prob. 12CTCh. 10.CT - Prob. 13CTCh. 10.CT - Prob. 14CTCh. 10.CT - Three brothersLarry, Moe, and Curlyare dissolving...
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
- A reporter wants to know how people feel about the governor of her state. She decides to ask 100 people their opinions and thinks of several ways to ask the 100 people. For each method, explain the benefits and drawbacks. 1) Go to the capital city and find 100 people interested in politics to respond to the survey. 2) Ask the 100 most politically influential people in the state to respond to the survey. 3) Obtain census data for the state and select 100 people from the list to survey using a random process. 4) Ask 50 registered voters who voted for the governor and 50 registered voters who did not vote for the governor to respond to the survey. 5) Which of the methods for selecting 100 people would best represent the people of the state? a) Go to the capital city and find 100 people interested in politics to respond to the survey. b) Ask the 100 most politically influential people in the state…arrow_forwardA country has three states, state A, with a population of 99,000, state B, with a population of 210,000, and state C with a population of 468,000. The congress has 49 seats, divided among the three states according to their respective populations. Use Jefferson's method with d = 15,500 to apportion the congressional seats to the states.arrow_forwardA student representative group is composed of Adam, Beth, Cathy, David, Erica, Fritz, and Gideon. From this group, a president, vice-president, secretary, treasurer, and spokesperson needs to be chosen to form a committee, the remaining members being co-opted members. Suppose Cathy has been chosen as president and Adam as vice- president. In how many different ways can the remaining three spots of the committee be filled?arrow_forward
- three research departments have 10, 8 and 7 members, respectively. Each department is to select a delegate and an alternate to represent the department at a conference. I'm how many ways can this be done?arrow_forward↑ A corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO). It must also appoint a planning committee with five different members. There are 14 qualified candidates, and officers can also serve on the committee. Complete parts (a) through (c) below. a. How many different ways can the officers be appointed? different ways to appoint the officers. b. How many different ways can the committee be appointed? There are different ways to appoint the committee. c. What is the probability of randomly selecting the committee members and getting the five youngest of the qualified candidates? There are P(getting the five youngest of the qualified candidates) = (Type an integer or a simplified fraction.)arrow_forwardc) A local greenhouse is creating a plant display for a mall. The greenhouse currently has 12 different tropical plants and 7 different exotic plants to choose from. Determine the number of ways the greenhouse could select 4 tropical plants and 4 exotic plants and then arrange the plants into a display for the mall.arrow_forward
- A city has 204 police officers to be apportioned among 4 precincts based on the population of each precinct. The populations are given in the following table. Precinct 1 2 3 4 Population 3462 7470 4265 5300 Does the Alabama paradox occur using Hamilton's method if the number of police officers is increased from 204 to 205? Yes Noarrow_forwardA legislator in a state consists of 50 seats. Apportion the seats to the counties using Hamilton's method. County Population Seats Jefferson 285,000 Clay Madison 328,700 Jackson 387,600 Franklin 560,500 148,200 Ten years, the populations are recounted. Reapportion the 50 seats. County Population Seats Jefferson 285,000 Clay 148,200 Madison 343,900 Jackson 387,600 Franklin 562,400 Does this situation illustrate any apportionment issues? Select an answer Submit Questionarrow_forwardAt the first tri-city meeting, there were 5 people from town A, 4 people from town B, and 2 people from town C. The council will consist of a chairperson, an assistant chairperson, and a secretary. Note, it is possible for the same person to be assistant chairperson and secretary at the same time. How many ways can they elect a council?arrow_forward
- An airline offers nonstop flights from Fort Lauderdale to three different locations. It has recently hired 15 new flight attendants and plans to assign them to the flights according to the number of passengers. The number of passengers on each flight is summarized in the table. Complete the table and answer the questions below. Flight A B C Total Number of 156 264 86 506 Passengers Standard Quota Lower Quota Upper Quota 1. Appo~ion the flight attendants using Hamilton's method. 2. Apportion the flight attendants using Jefferson's method. 3. Apportion the flight attendants using Adams' method. 4. Apportion the flight attendants using Webster's method. 5. Apportion the flight attendants using the Huntington-Hill method.arrow_forwardThe United States Senate has 2 senators from each of the 50 states. Select all methods that would select a sample of 10 senators at random from the entire Senate. A: Take the 10 senators from the 5 largest states. B: Take the 10 senators who have served in the Senate the longest. C: Place the names of all 100 senators on individual slips of paper placed into a bowl. Thoroughly mix up the slips and then select 10 of them. D: Send letters to all 100 senators. Select the 10 that reply back the quickest. E: Number the senators from 1 to 100. Use a random number generator to make a list of 10 random integers between 1 and 100 inclusive.arrow_forwardThe principal wants to have a teacher committee on non-semestering. There are 11 secondary teacher volunteers for the committee and 7 intermediate teacher volunteers. Question: How many ways can the principal form a committee of 5 if there must be AT LEAST 3 intermediate teachers on the committee?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
The Fundamental Counting Principle; Author: AlRichards314;https://www.youtube.com/watch?v=549eLWIu0Xk;License: Standard YouTube License, CC-BY
The Counting Principle; Author: Mathispower4u;https://www.youtube.com/watch?v=qJ7AYDmHVRE;License: Standard YouTube License, CC-BY