Mathematics: A Practical Odyssey
8th Edition
ISBN: 9781305104174
Author: David B. Johnson, Thomas A. Mowry
Publisher: Cengage Learning
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Question
Chapter 6.2, Problem 28E
To determine
a)
To find:
The apportion of the bureau seats by using Jefferson's Method.
To determine
b)
To find:
The apportion of the bureau seats by using Adams’s Method.
To determine
c)
To find:
The apportion of the bureau seats by using Webster’s Method.
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Check out a sample textbook solutionStudents have asked these similar questions
1) find the mode of regions for the states that voted for the Democratic and for the Republic respectively and explain the findings.
Consider the apportionment problem for College Town.
North : 5,500 , South : 4,500 , East : 7,600, West : 7,400
Suppose each council member is to represent approximately 2,100 citizens. Use Jefferson's plan assuming there must be 10 representatives.
Consider the apportionment problem.
NORTH: 18,200 SOUTH: 12,500 EAST: 17,800 WEST: 13,400
Use Webster's Plan assuming there must be 16 representatives.
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...
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- Consider the apportionment problem. North: 14,300 South: 12,500 East: 18,400 West: 11,200 Use Webster's plan assuming there must be 16 representatives. N ____________S_________ E__________ W_______ __________ __________ __________ _________arrow_forwardConsider the apportionment of 60 doctors for a physicians organization. The apportionment using Hamilton's method is shown in the table below. Does the Alabama paradox occur using Hamilton's method if the number of doctors is increased from 60 to 61? Clinic A B C D E Total Patients 656 536 515 549 602 2858 Standard quota 13.77 11.25 10.81 11.53 12.64 60.00 Lower quota 13 11 10 11 12 57 Hamilton's apportionment 14 11 11 11 13 60 Complete the table below with the new apportionment for clinics A, B, C, D, and E using a standard divisor rounded to two decimal places. Clinic A B C D E Total Patients 656 536 515 549 602 2858 Hamilton's apportionment ? ? ? ? ? 61arrow_forwardConsider the apportionment problem for College Town. North: 5,100 South: 9,300 East: 6,800 West: 8,800 Suppose each council member is to represent approximately 3,000 citizens. Use Jefferson's assuming there must be 10 representatives. N __________S__________ E__________ W __________ __________ __________ _________arrow_forward
- Following is a contingency table for U.S. surgeons, cross classified by specialty and base of practice. a) Fill in the missing values from the table. Office Hospital Other Total General Surgery 24,128 12,225 1,658 38,011 Obstetrics/Gynecology 6,734 1,140 32,024 Orthopedics 13,364 4,248 414 Ophthalmology 12,328 2,694 518 15,540 Total 73,970 25,901 3,730 103,601 b) How many surgeons are office based? answer: c) How many surgeons are ophthalmologists? answer: d) How many surgeons are office-based ophthalmologists? answer: e) How many surgeons are either office-based or ophthalmologists? answer: f) How many general surgeons are hospital based? answer: g) How many hospital-based surgeons are OB/GYNs? answer: h) How many surgeons are not hospital-based? answer:arrow_forward4. The following contingency table represents motor vehicle use in North America by country and vehicle type in 2016. Country Vehicle Type United States C1 Canada C2 Mexico C3 Total Automobiles V1 112,961 22,410 11,239 146,610 Buses V2 976 91 303 1,370 Motorcycles V3 8,680 716 2,053 11,449 Trucks V4 146,182 1,053 6,201 153,436 Total 268,799 24,270 19,796 312,865 g. Create a Joint Probability Table: ALL PROBABILITIES to 4 decimal places. Country Vehicle Type United States C1 Canada C2 Mexico C3 Total Automobiles V1 Buses V2 Motorcycles V3 Trucks V4 Total h. In words, what is event C1? i. In words, what is event V4? j. In words, what is event C1 ∩∩ V4 ? k. Find P(C1) l. Find P(V4) m. Find P(C1 ∩∩ V4) n. Find P(C1 ∪∪ V4) o. Find P(C1|V4) p. Find P(V4|C1)arrow_forward4. The following contingency table represents motor vehicle use in North America by country and vehicle type in 2016. Country Vehicle Type United States C1 Canada C2 Mexico C3 Total Automobiles V1 112,961 22,410 11,239 146,610 Buses V2 976 91 303 1,370 Motorcycles V3 8,680 716 2,053 11,449 Trucks V4 146,182 1,053 6,201 153,436 Total 268,799 24,270 19,796 312,865 a. How many vehicles are in Canada? b. How many vehicles are motorcycles? c. How many vehicles are Canadian motorcycles? d. How many vehicles are either Canadian OR motorcycles? e. How many automobiles are Mexican? f. How many vehicles are NOT automobiles? g. Create a Joint Probability Table: ALL PROBABILITIES to 4 decimal places. Country Vehicle Type United States C1 Canada C2 Mexico C3 Total Automobiles V1 Buses V2 Motorcycles V3 Trucks V4 Total h. In words, what is event C1? i. In words, what is event V4? j. In words, what is…arrow_forward
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