Mathematics: A Practical Odyssey
8th Edition
ISBN: 9781305104174
Author: David B. Johnson, Thomas A. Mowry
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 6.3, Problem 14E
To determine
(a)
To find:
Apportionment of the specialists to the three locations using Hamilton’s method and
To determine
(b)
To find:
Apportionment of the specialists to the three locations using Hamilton’s method and
To determine
(c)
To find:
Growth rate (from
To determine
(d)
To discuss:
If Population Paradox is exhibited.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A school district has two high schools: Lowell, serving 1715 students, and Fairview,serving 7364. The district could only afford to hire 13 guidance counselors.a. Determine how many counselors should be assigned to each school using Hamilton'smethod.b. The following year, the district expands to include a third school, serving 2989students. Based on the divisor from above, how many additional counselors shouldbe hired for the new school?c. After hiring that many new counselors, the district recalculates the reapportion usingHamilton's method. Determine the outcome.d. Does this situation illustrate any apportionment issues?
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
A rapid transit service operates 70 buses along six routes, A, B, C, D, E,
and F. The number of buses assigned to each route is based on the
average number of daily passengers per route is given in the following
table. Use Jefferson's method with d= 39.8 to apportion the buses.
Average number of daily passengers per route
Route
B
C
E
F
Average
Number of
316
598
396
692
426 486
Passengers
Buses or Route A=
Buses for Route B =
Buses for Route C=
Buses for Route D =
Buses for Route E =
Buses for Route E =
Chapter 6 Solutions
Mathematics: A Practical Odyssey
Ch. 6.1 - Four candidates, Alliotti, Baker, Cruz, and Daud,...Ch. 6.1 - Prob. 2ECh. 6.1 - Prob. 3ECh. 6.1 - Prob. 4ECh. 6.1 - Prob. 5ECh. 6.1 - Prob. 6ECh. 6.1 - Prob. 7ECh. 6.1 - Number of Ballots Cast 6 8 7 10 15 1st choice C C...Ch. 6.1 - Prob. 9ECh. 6.1 - Prob. 10E
Ch. 6.1 - Prob. 11ECh. 6.1 - Four candidates, Harrison H, Lennon L, McCartney...Ch. 6.1 - Prob. 13ECh. 6.1 - Five candidates, Fino F, Gempler G, Holloway H,...Ch. 6.1 - Prob. 15ECh. 6.1 - Prob. 16ECh. 6.1 - Prob. 17ECh. 6.1 - Prob. 18ECh. 6.1 - Prob. 19ECh. 6.1 - Prob. 20ECh. 6.1 - In an election, there are seven candidates. a....Ch. 6.1 - Prob. 22ECh. 6.1 - Prob. 23ECh. 6.1 - Prob. 24ECh. 6.1 - Prob. 25ECh. 6.1 - Prob. 26ECh. 6.1 - Prob. 27ECh. 6.1 - Prob. 28ECh. 6.1 - Prob. 29ECh. 6.1 - Prob. 30ECh. 6.1 - What is Arrows Impossibility Theorem?Ch. 6.2 - A small country consists of three states, A, B and...Ch. 6.2 - A small country consists of three states, A, B and...Ch. 6.2 - Suppose that the governors of three Middle...Ch. 6.2 - Suppose that the governors of three midwestern...Ch. 6.2 - Prob. 5ECh. 6.2 - Prob. 6ECh. 6.2 - Prob. 7ECh. 6.2 - Prob. 8ECh. 6.2 - A local school district contains four middle...Ch. 6.2 - A local school district contains four elementary...Ch. 6.2 - Prob. 11ECh. 6.2 - In J.R.R. Tolkiens Middle Earth, the regions in...Ch. 6.2 - Prob. 13ECh. 6.2 - Prob. 14ECh. 6.2 - Prob. 15ECh. 6.2 - Prob. 16ECh. 6.2 - Prob. 17ECh. 6.2 - Prob. 18ECh. 6.2 - Prob. 19ECh. 6.2 - Prob. 20ECh. 6.2 - Prob. 21ECh. 6.2 - Prob. 22ECh. 6.2 - Prob. 23ECh. 6.2 - Prob. 24ECh. 6.2 - Prob. 25ECh. 6.2 - Prob. 26ECh. 6.2 - Prob. 27ECh. 6.2 - Prob. 28ECh. 6.2 - Prob. 29ECh. 6.2 - Prob. 30ECh. 6.2 - Prob. 31ECh. 6.2 - Prob. 32ECh. 6.2 - Use the Hill-Huntington Method to determine how...Ch. 6.2 - Prob. 34ECh. 6.2 - Prob. 35ECh. 6.2 - Prob. 36ECh. 6.2 - Prob. 37ECh. 6.2 - Prob. 38ECh. 6.2 - Prob. 39ECh. 6.2 - Prob. 40ECh. 6.2 - Prob. 41ECh. 6.2 - Prob. 42ECh. 6.2 - Prob. 43ECh. 6.2 - Prob. 44ECh. 6.2 - Prob. 45ECh. 6.2 - Prob. 46ECh. 6.2 - Prob. 47ECh. 6.2 - Prob. 48ECh. 6.2 - What is apportionment?Ch. 6.2 - Prob. 50ECh. 6.2 - Prob. 51ECh. 6.2 - Prob. 52ECh. 6.2 - Prob. 53ECh. 6.2 - Prob. 54ECh. 6.2 - Prob. 55ECh. 6.2 - Prob. 56ECh. 6.2 - Prob. 57ECh. 6.2 - Since the founding of the United States, what...Ch. 6.2 - Prob. 59ECh. 6.2 - Prob. 60ECh. 6.3 - A small country consists of three states: A, B,...Ch. 6.3 - Prob. 2ECh. 6.3 - Prob. 3ECh. 6.3 - Prob. 4ECh. 6.3 - A small country consists of four states: A, B, C,...Ch. 6.3 - Prob. 6ECh. 6.3 - Prob. 7ECh. 6.3 - Prob. 8ECh. 6.3 - Prob. 9ECh. 6.3 - Prob. 10ECh. 6.3 - A small country consists of three states:A, B, and...Ch. 6.3 - Prob. 12ECh. 6.3 - Prob. 13ECh. 6.3 - Prob. 14ECh. 6.3 - Prob. 15ECh. 6.3 - What is the Alabama Paradox? Explain its meaning.Ch. 6.3 - Prob. 17ECh. 6.3 - Prob. 18ECh. 6.3 - Prob. 19ECh. 6.CR - Prob. 1CRCh. 6.CR - Prob. 2CRCh. 6.CR - Prob. 3CRCh. 6.CR - Prob. 4CRCh. 6.CR - Prob. 5CRCh. 6.CR - Prob. 6CRCh. 6.CR - Prob. 7CRCh. 6.CR - Prob. 8CRCh. 6.CR - Prob. 9CRCh. 6.CR - Prob. 10CRCh. 6.CR - Prob. 11CRCh. 6.CR - Prob. 12CRCh. 6.CR - Prob. 13CRCh. 6.CR - Prob. 14CRCh. 6.CR - Prob. 15CRCh. 6.CR - Prob. 16CRCh. 6.CR - Prob. 17CRCh. 6.CR - A small country consists of three states: A, B,...Ch. 6.CR - Prob. 19CRCh. 6.CR - Prob. 20CRCh. 6.CR - Prob. 21CRCh. 6.CR - Prob. 22CRCh. 6.CR - Prob. 23CRCh. 6.CR - Prob. 24CRCh. 6.CR - Prob. 25CRCh. 6.CR - Prob. 26CRCh. 6.CR - Prob. 27CRCh. 6.CR - Prob. 28CRCh. 6.CR - What is the New States Paradox? Explain its...Ch. 6.CR - Prob. 30CRCh. 6.CR - Prob. 31CRCh. 6.CR - Prob. 32CRCh. 6.CR - Prob. 33CRCh. 6.CR - Prob. 34CRCh. 6.CR - What method of appointment for the House of...
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
- Part Il: The University board plans to assign a new assistant coach among 5 team sports based on their perfomance in the last UAAP season. The following table shows the points earned by each team and their respective coaches and trainers Basketball Volleyball Swimming Badminton Track & Field Foints Number of trainers 360 290 400 320 380 10 Compute for the Huntington-Hil number for each team. To which team should the additional assistant coach be assigned based on Huntington Hill number?arrow_forwardSIX PROVINCIAL CONSTRUCTIONS PROJECTS WILL START TWO MONTHS FROM NOW. TO MAINTAIN ORDERLINESS IN THE CONSTRUCTION SITES, 175 SECURITY GUARDS WILL BE ASSIGNED. HOW MANY SECURITY GUARDS WILL BE DEPLOYED TO EACH LOCATION USING JEFFERSON PLAN? LOCATION # OF WORKERS CEBU 3,240 BAGUIO 1,286 DAVAO 2,085 NUEVA ECIJA 872 NAGA 1,901 BULACAN 2,698 A FIRE TRUCK IS TO BE ADDED TO A CERTAIN DISTRICT. WHICH DISTRICT SHOULD GET THE FIRE TRUCK? JUTIFY YOUR ANSWER BY USING THE APPORTIONMENT PRINCIPLE (RELATIVE UNFAIRNESS OF APPORTIONMENT) AREA NO. OF FIRE TRUCKS NO. OF HOUSES DISTRICT 1 18 23,200 DISTRICT 2 22 50,400arrow_forwardA hospital has 200 nurses to be apportioned among four shifts: Shifts A, B, C, and D. The hospital decides to apportion the nurses based on the average number of room calls reported during each shift. Room calls are shown in the table below. Use the table to determine each shift's apportionment using Jefferson's method. (Note: Divisors do not have to be whole numbers.) Shift A B C D Total Room calls 814 1692 519 175 3200 Determine each shift's apportionment using Jefferson's method. Shift A B C D Total Room calls 814 1692 519 175 3200 Nurses enter your response here enter your response here enter your response here enter your response herearrow_forward
- A hospital has 208 nurses to be apportioned among four shifts: Shifts A, B, C, and D. The hospital decides to apportion the nurses based on the average number of room calls reported during each shift. Room calls are shown in the table below. Use the table to determine each shift's apportionment using Jefferson's method. (Note: Divisors do not have to be whole numbers.) Shift A B C D Total Room calls 835 1368 494 215 2912 Determine each shift's apportionment using Jefferson's method. Shift A B C D Total Room calls 835 1368 494 215 2912 Nurses ? ? ? ? (Type whole numbers.)arrow_forwardA small country with a population of 8,000,000 consists of four states, A, B, C, and D. There are 160 seats in the legislature that need to be apportioned among the four states. The population of each state is shown in the table. Use the table to answer parts (a) and (b). State A D Total Population 1,987,000 2,155,000 917,000 2,941,000 8,000,000 ... a) Determine each state's modified quota using the divisor 49,400. State A В C D Total Population 1,987,000 2,155,000 917,000 2,941,000 8,000,000 Modified Quota (Round to the nearest hundredth as needed.)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_forward
- See image for question details.arrow_forwardThe following is a contingency table. It provides data on school enrollment in thousands, by level and gender. Fill in the missing boxes and then answer the questions that follow: Male Female Total Nursery 2331 2377 4708 Kindergarten 1997 Elementary 16504 15734 High School 8393 16446 Total 29363 a. How many cells does this contingency table have? b. What is the total enrollment? c. How many students are female? d. Ho many students are in high school? e. How many students are male kindergarteners?arrow_forwardOlivia, Nicholas, Chloe, and Ethan each took many samples from the same population of students. The number of students in each of their samples is shown in the table below. Which person's sampling distribution is most likely to closely approximate the population distribution? Person taking sample Number of students in each sample Olivia 29 Nicholas Chloe Ethan 91 56 70arrow_forward
- German County is planning to expand its train service. In studying the current service, the county planner looked at which train stations are along or not along various train lines. The Venn Diagram shows this information for three of the lines. a. Which train lines that have a stop at Jena? b. How many stations are along both the Purple Line and the Blue Line? c. Which stations are along all three lines, (Purple, Orange and Blue Lines)arrow_forwardA hospital district consists of six hospitals. The district administrators have decided that 48 new nurses should be apportioned based on the number of beds in each of the hospitals. The following table shows the number of beds in each hospital Hospital Number of Beds Sharp 242 Palomar 356 Tri - City 308 Del Raye 190 Rancho Verde 275 Bel Aire 410 1. Use Adam's Method to determine the number of nurses to be apportioned to each hospital. 2. Use Huntington -Hill to determine the number of nurses to be apportioned to each hospital. 3. Use Hamilton's Method to determine the number of nurses to be apportioned to each hospital.arrow_forwardJames believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request. He asked 500 students at his school the following questions: "Are you on the honor roll?" and "Did you get the math class you requested?" The results are shown in the table below: Honor roll Not on honor roll Total Received math class requested 315 64 379 Did not get math class requested 41 80 121 Total 356 144 500 Calculate P(received math class requested|Honor roll) and evaluate whether the two events appear independent. p = 0.885; the events are independent because a student can be on the honor roll and receive the math class requested p = 0.630; the events are not independent because the probability of any student receiving the class requested is 0.758 p = 0.885; the events are not independent because the probability of any student receiving the class requested is 0.758 p = 0.630; the events are independent because a student can be on…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
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
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Statistics 4.1 Point Estimators; Author: Dr. Jack L. Jackson II;https://www.youtube.com/watch?v=2MrI0J8XCEE;License: Standard YouTube License, CC-BY
Statistics 101: Point Estimators; Author: Brandon Foltz;https://www.youtube.com/watch?v=4v41z3HwLaM;License: Standard YouTube License, CC-BY
Central limit theorem; Author: 365 Data Science;https://www.youtube.com/watch?v=b5xQmk9veZ4;License: Standard YouTube License, CC-BY
Point Estimate Definition & Example; Author: Prof. Essa;https://www.youtube.com/watch?v=OTVwtvQmSn0;License: Standard Youtube License
Point Estimation; Author: Vamsidhar Ambatipudi;https://www.youtube.com/watch?v=flqhlM2bZWc;License: Standard Youtube License