Mathematics: A Practical Odyssey
8th Edition
ISBN: 9781305104174
Author: David B. Johnson, Thomas A. Mowry
Publisher: Cengage Learning
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Chapter 6.2, Problem 47E
To determine
To check:
Whether the hypothetical apportionment differ from the actual apportionment.
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For items 8-10, given the 5 states and 250 seats. The population of each state is
provided.
State
D
E
Population
250
875
4700
3825
350
8. Under Hamilton's Method the apportionment to each state is
a. A = 6; B = 22; C = 117; D = 96; E = 9
b. A = 6; B = 22; C = 118; D = 96; E = 8
c. A = 7; B = 22; C = 117; D = 95; E = 9
d. A = 6; B = 23; C = 116; D = 96; E = 9
9. Under Jefferson's Method the apportionment to each state is
a. A = 6; B = 22; C = 117; D = 96; E = 9
b. A = 6; B = 22; C = 118; D = 96; E = 8
c. A= 7; B = 22; C = 117; D = 95; E = 9
d. A = 6; B = 23; C = 116; D = 96; E = 9
10. Under Webster's Method the apportionment to each state is
a. A = 6; B = 22; C = 117; D = 96; E = 9
b. A = 6; B = 22; C = 118; D = 96; E = 8
c. A = 7; B = 22; C = 117; D= 95; E = 9
d. A = 6; B = 23; C = 116; D = 96; E = 9
QUESTION 13
For a given set of populations and house sizes, different methods of apportionment may lead to different apportionments.
True
False
The highest and lowest birth rates in the United States in 2010 were in Utah and Maine, respectively. Utah reported 52,258 births with a population of about 2.8 million people. Maine reported 12,970 births with a population of about 1.3 million people. Use this data to answer the following questions.
a) On average, how many people were born each day of the year in Utah?
b) On average, how many people were born each day of the year in Maine?
c) What was the birth rate in Utah in births per 100,000 residents?
d) What was the birth rate in Maine in births per 100,000 residents?
2. In 2010, the highest and lowest death rates in the United States were in West Virginia and Hawaii, respectively. West Virginia reported 17,598 deaths with a population of about 1.9 million. Hawaii reported 8418 deaths with a population of 1.4 million.
a) Compute the death rates in West Virginia and Hawaii in deaths per 100,000 residents.
b) How many people die each day in West Virginia?
c) How many…
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 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.arrow_forward1. A. 120+4= B. 280+7=. C. 3,000 + 5 = D. 6,300 + 9 = 2. 393+3= 3. 38 x 24 =arrow_forwardConsider the following apportionment problem. North: 1,820,000 Northeast: 2,950,000 East: 1,760,000 Southeast: 1,980,000 South: 1,200,000 Southwest: 2,480,000 West: 3,300,000 Northwest: 1,140,000 If there are to be 475 representatives, use the apportionment plan requested below. Hamilton's plan North Northeast East Southeast South Southwest West Northwestarrow_forward
- Consider the following apportionment problem. North: 1,930,000 Northeast: 2,950,000 East: 1,650,000 Southeast: 1,980,000 South: 2,000,000 Southwest: 2,480,000 West: 2,500,000 Northwest: 1,140,000 If there are to be 475 representatives, use the apportionment plan requested below. Webster's plan North Northeast East Southeast South Southwest West Northwestarrow_forwardIV. Evaluate the following: a) A pen manufacturing company produces blue and black pens only. If 26.8% of 18950 total production is blue pens, how many black pens are there? b) If 41.5% of students out of 24000 total students are based in England, how many students are based in England?arrow_forwardIn the state of Washington, a county is considered rural if it has a population density less than 100 people per square mile. Based on the information in the table, which county is considered rural? County Area (miles?) Population Benton 1,700 175,177 King 722 252,264 Spokane 1,764 471,331 Whatcom 2,107 201,140 Spokane O King O Whatcom O Benton Carrow_forward
- A small country consists of three states, whose populations are listed below.A: 6,000 B: 6,000 C: 2,000a. If the legislature has 10 seats, use Hamilton’s method to apportion the seats.b. If the legislature grows to 11 seats, use Hamilton’s method to apportion the seats.c. Which apportionment paradox does this illustrate?arrow_forwardMike, Tania, Bill, and Rachael each took many samples from the same population of students. The number of students in each sample is shown in the table. Which person's sampling distribution is most likely to closely approximate the population distribution? Person taking samples Students in each sample Mike 23 Tania 79 Bill 37 Rachael 51arrow_forwardSuppose that a small country with a population of 2,800,000 that consists of four states, A, B, C, and D. There are 140 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 B C D Total Population 488,000 1,096,000 343,000 873,000 2,800,000 a) Determine the standard divisor. The standard divisor is ?. (Simplify your answer.)arrow_forward
- Heos.czy.nceydyarrow_forwardThe table below shows the number of computers that are assigned to four different schools and the number of students in those schools. Use the Huntington-Hill apportionment principle to determine to which school a new computer should be assigned. Rose O Lincoln O Midway O Valley School Rose Lincoln Midway Valley Number of computers 32 24 16 38 Number of students 673 469 601 769arrow_forwardplease help me fast....arrow_forward
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