Connect Math hosted by ALEKS Access Card 52 Weeks for Math in Our World
3rd Edition
ISBN: 9781259232848
Author: David Sobecki, Allan Bluman
Publisher: McGraw-Hill Education
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Chapter 13.4, Problem 6E
To determine
To explain: Whether the standard divisor should be raised or lowered when the apportionment results in too few seats.
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Students have asked these similar questions
Which is the correct answer to the question.
A country consists of 20 states. There are 522 seats in the Congress which are to be
apportioned among the 20 states to their respective population. The following table shows
the population of the 20 states.
Use a spreadsheet program to answer the following questions.
Round all standard quotas, modified quotas, and the divisor to 5 decimal places if needed.
You can use a spreadsheet to help you figure out an answer or calculate using a calculator.
Stat Populati Standa Adams' Webste Modifi Modifi Adams' Webste Advantage
on
rd
S
r's
ed
ed
S
r's
or
e
Quotas Rounde Rounde Quotas Quotas Modifi Modifi Disadvant
d Up
Quotas Quotas Adam Webste Rounde Rounde
d
for
for
ed
ed
age
A
413,875
B
500,032
397,004
D 360,874
E
193,993
F
131,279
G
76,121
H
297,022
I
94,239
J
423,566
K
565,883
L
473,525
M
399,170
N
403,576
100,904
P
73,143
Q 360,997
R
410,181
S
456,755
T
139,361
Tota 6,271,50
Seats: 522
A country consists of 20 states. There are 386 seats in the Congress which are to be
apportioned among the 20 states to their respective population. The following table shows
the population of the 20 states.
Use a spreadsheet program to answer the following questions.
Round all standard quotas, modified quotas, and the divisor to 5 decimal places if needed.
You can use a spreadsheet to help you figure out an answer or calculate using a calculator.
Seats: 386
Hamilton Jefferson's
Modified
Modified
Lower Quotas Disadvantage
Jefferson
State
Population
Standard
Initial
Benefit and
Quotas
Quota
without
Quotas
decimal
A
538,723
61,837
C
346,146
448,119
D
E
500,521
F
89,678
G
221,803
H
314,404
I
41,754
J
373,154
K
94,310
399,190
M
297,083
391,098
163,551
218,689
Q
329,896
R
77,150
S
113,753
T
101,301
Total
5,122,220
Chapter 13 Solutions
Connect Math hosted by ALEKS Access Card 52 Weeks for Math in Our World
Ch. 13.1 - The Student Activities Committee at Camden College...Ch. 13.1 - An election was held for the chairperson of the...Ch. 13.1 - Prob. 3TTOCh. 13.1 - Prob. 1ECh. 13.1 - Prob. 2ECh. 13.1 - Prob. 3ECh. 13.1 - Explain the head-to head comparison criterion.Ch. 13.1 - Prob. 5ECh. 13.1 - Prob. 6ECh. 13.1 - Prob. 7E
Ch. 13.1 - Prob. 8ECh. 13.1 - Prob. 9ECh. 13.1 - Prob. 10ECh. 13.1 - Prob. 11ECh. 13.1 - Prob. 12ECh. 13.1 - Using the election results given in Exercise 9,...Ch. 13.1 - Prob. 14ECh. 13.1 - Prob. 15ECh. 13.1 - Using the election results given in Exercise 12,...Ch. 13.1 - Using the Internet as a resource, look up the...Ch. 13.1 - Suppose that an election has seven candidates, and...Ch. 13.1 - Prob. 19ECh. 13.1 - Prob. 20ECh. 13.1 - Prob. 21ECh. 13.1 - Prob. 22ECh. 13.1 - Prob. 23ECh. 13.1 - Prob. 24ECh. 13.1 - Prob. 25ECh. 13.1 - Prob. 26ECh. 13.2 - Prob. 1TTOCh. 13.2 - Prob. 2TTOCh. 13.2 - Prob. 3TTOCh. 13.2 - If the one voter who listed softball last in the...Ch. 13.2 - Prob. 1ECh. 13.2 - Prob. 2ECh. 13.2 - Prob. 3ECh. 13.2 - Prob. 4ECh. 13.2 - Prob. 5ECh. 13.2 - Can a candidate that gets the least first-place...Ch. 13.2 - A gaming club holds a vote to decide what type of...Ch. 13.2 - The McKees Point Yacht Club Board of Directors...Ch. 13.2 - Prob. 9ECh. 13.2 - A local police union is holding an election for a...Ch. 13.2 - Students at a college were asked to rank three...Ch. 13.2 - Prob. 12ECh. 13.2 - Prob. 13ECh. 13.2 - Prob. 14ECh. 13.2 - Prob. 15ECh. 13.2 - Prob. 16ECh. 13.2 - Prob. 17ECh. 13.2 - Does the election in Exercise 12 violate the...Ch. 13.2 - An English department is voting for a new...Ch. 13.2 - The Association of Self-Employed Working Persons...Ch. 13.2 - Prob. 21ECh. 13.2 - Prob. 22ECh. 13.2 - Suppose that all 4 voters from the last column of...Ch. 13.2 - Suppose that 2 of the 4 voters from the second...Ch. 13.2 - If 2 of the voters from column 1 in Exercise 21...Ch. 13.2 - If the 3 voters in column 4 in Exercise 22 change...Ch. 13.2 - Construct a preference table for an election...Ch. 13.2 - Construct a preference table for an election...Ch. 13.2 - Construct a preference table for an election so...Ch. 13.2 - If the candidates on a preference ballot are...Ch. 13.2 - If the candidates on a preference ballot are...Ch. 13.2 - In an election with four candidates, how many...Ch. 13.2 - Based on your answers to Exercise 32, explain why...Ch. 13.2 - One way to avoid the issue described in Exercises...Ch. 13.2 - Lets talk about a modified Borda count method....Ch. 13.3 - Prob. 1TTOCh. 13.3 - Prob. 2TTOCh. 13.3 - Does the election in Try This One 2 violate the...Ch. 13.3 - Prob. 4TTOCh. 13.3 - Explain how to determine the winner of an election...Ch. 13.3 - Prob. 2ECh. 13.3 - Describe Arrows impossibility theorem. How is it...Ch. 13.3 - Prob. 4ECh. 13.3 - Prob. 5ECh. 13.3 - Which of the five voting methods we studied do you...Ch. 13.3 - If all of the voters in an approval voting...Ch. 13.3 - Fill in the table below, which summarizes our five...Ch. 13.3 - Prob. 9ECh. 13.3 - Prob. 10ECh. 13.3 - Prob. 11ECh. 13.3 - Prob. 12ECh. 13.3 - Prob. 13ECh. 13.3 - Prob. 14ECh. 13.3 - Prob. 15ECh. 13.3 - Prob. 16ECh. 13.3 - The McKees Point Yacht Club Board of Directors...Ch. 13.3 - The students in Dr. Lees math class are asked to...Ch. 13.3 - If Professor Donovan was unable to serve as...Ch. 13.3 - If the travel company from Exercise 14 loses its...Ch. 13.3 - If the West Oak Golf Club is unavailable and the...Ch. 13.3 - If a room for Dr. Lees final exam was not...Ch. 13.3 - A sports committee of students needs to choose a...Ch. 13.3 - Prob. 24ECh. 13.3 - Prob. 25ECh. 13.3 - Prob. 26ECh. 13.3 - Prob. 27ECh. 13.3 - Prob. 28ECh. 13.3 - Prob. 29ECh. 13.3 - Construct a preference table so that one candidate...Ch. 13.3 - Prob. 31ECh. 13.3 - Prob. 32ECh. 13.3 - Prob. 33ECh. 13.3 - Evaluate each voting method we studied if there...Ch. 13.3 - Suppose that in an election for city council,...Ch. 13.3 - Prob. 36ECh. 13.3 - Devise a method for breaking ties when using...Ch. 13.3 - Prob. 38ECh. 13.4 - Prob. 1TTOCh. 13.4 - Prob. 2TTOCh. 13.4 - Prob. 3TTOCh. 13.4 - Prob. 4TTOCh. 13.4 - Prob. 5TTOCh. 13.4 - Assign the 30 seats from Try This One 5 using...Ch. 13.4 - Prob. 7TTOCh. 13.4 - Prob. 8TTOCh. 13.4 - Prob. 1ECh. 13.4 - Prob. 2ECh. 13.4 - Prob. 3ECh. 13.4 - Describe how to find the upper and lower quotas...Ch. 13.4 - Prob. 5ECh. 13.4 - Prob. 6ECh. 13.4 - Prob. 7ECh. 13.4 - Prob. 8ECh. 13.4 - Prob. 9ECh. 13.4 - Prob. 10ECh. 13.4 - In Exercises 912, find the standard divisor for...Ch. 13.4 - Prob. 12ECh. 13.4 - Prob. 13ECh. 13.4 - Prob. 14ECh. 13.4 - Prob. 15ECh. 13.4 - Prob. 16ECh. 13.4 - Prob. 17ECh. 13.4 - Prob. 18ECh. 13.4 - Prob. 19ECh. 13.4 - Prob. 20ECh. 13.4 - Prob. 21ECh. 13.4 - Prob. 22ECh. 13.4 - Prob. 23ECh. 13.4 - Prob. 24ECh. 13.4 - Prob. 25ECh. 13.4 - For Exercises 2628 find: (a)The standard divisor....Ch. 13.4 - Prob. 27ECh. 13.4 - Prob. 28ECh. 13.4 - Prob. 29ECh. 13.4 - Prob. 30ECh. 13.4 - Prob. 31ECh. 13.4 - Prob. 32ECh. 13.4 - Prob. 33ECh. 13.4 - Prob. 34ECh. 13.4 - Prob. 35ECh. 13.4 - Prob. 36ECh. 13.4 - Prob. 37ECh. 13.4 - Prob. 38ECh. 13.4 - Prob. 39ECh. 13.4 - Prob. 40ECh. 13.4 - Prob. 41ECh. 13.4 - Prob. 42ECh. 13.4 - Prob. 43ECh. 13.5 - A large company decided to donate 17 computers to...Ch. 13.5 - Prob. 2TTOCh. 13.5 - Prob. 3TTOCh. 13.5 - Prob. 1ECh. 13.5 - Prob. 2ECh. 13.5 - Prob. 3ECh. 13.5 - Prob. 4ECh. 13.5 - What is the quota rule? Which apportionment...Ch. 13.5 - Prob. 6ECh. 13.5 - Prob. 7ECh. 13.5 - Prob. 8ECh. 13.5 - Prob. 9ECh. 13.5 - Prob. 10ECh. 13.5 - Prob. 11ECh. 13.5 - Prob. 12ECh. 13.5 - The table shows the enrollment at two campuses of...Ch. 13.5 - Prob. 14ECh. 13.5 - Prob. 15ECh. 13.5 - Prob. 16ECh. 13.5 - Write an essay explaining why many people feel...Ch. 13 - Use this information for Exercises 14: the...Ch. 13 - Use this information for Exercises 14: the...Ch. 13 - Use this information for Exercises 14: the...Ch. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Prob. 6RECh. 13 - Prob. 7RECh. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Prob. 11RECh. 13 - Prob. 12RECh. 13 - Prob. 13RECh. 13 - Prob. 14RECh. 13 - Use this information for Exercises 917: a large...Ch. 13 - Prob. 16RECh. 13 - Use this information for Exercises 917: a large...Ch. 13 - Prob. 18RECh. 13 - Prob. 19RECh. 13 - Prob. 20RECh. 13 - Prob. 21RECh. 13 - Prob. 22RECh. 13 - Prob. 23RECh. 13 - Prob. 24RECh. 13 - Prob. 25RECh. 13 - Prob. 26RECh. 13 - Prob. 27RECh. 13 - Prob. 28RECh. 13 - Prob. 29RECh. 13 - A community college bought 15 laptop computers to...Ch. 13 - Prob. 31RECh. 13 - Prob. 32RECh. 13 - Prob. 33RECh. 13 - Prob. 34RECh. 13 - Prob. 35RECh. 13 - Repeat exercise 30 using the Huntington-Hill...Ch. 13 - Prob. 37RECh. 13 - Prob. 38RECh. 13 - Prob. 39RECh. 13 - Prob. 40RECh. 13 - Prob. 41RECh. 13 - Prob. 42RECh. 13 - Prob. 43RECh. 13 - Prob. 1CTCh. 13 - Prob. 2CTCh. 13 - Prob. 3CTCh. 13 - Prob. 4CTCh. 13 - Prob. 5CTCh. 13 - Prob. 6CTCh. 13 - Prob. 7CTCh. 13 - Prob. 8CTCh. 13 - Use this information for Exercises 512: a small...Ch. 13 - Prob. 10CTCh. 13 - Prob. 11CTCh. 13 - Prob. 12CTCh. 13 - Prob. 13CTCh. 13 - An airline offers nonstop flights from Fort...Ch. 13 - Prob. 15CTCh. 13 - Repeat Problem 14 using Websters method.Ch. 13 - Repeat Problem 14 using the Huntington-Hill...Ch. 13 - Prob. 18CTCh. 13 - Prob. 19CTCh. 13 - Prob. 20CTCh. 13 - Prob. 21CT
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- Suppose a nation has 5 states, with populations shown in the chart below. The representative body had 150 seats. Find: the standard divisor, the modified divisor, and the distribution of representatives to each state. Then complete the table. Round all standard and modified quotas to 7 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculatorarrow_forwardPlease helparrow_forwardJefferson's method, Webster's method, and Adams's method require using a _______ quota. arrow_forward
- 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 377 seats. For state A, find the standard quota. Use the value 261 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 A is underrepresented because its standard quota of OB. State A is overrepresented because its standard quota of State Population Seats A 16,611,000 23 17,137,000 25 10,872,000 16 13,831,000 19 BCD is more than its number of representatives, 23. is less than its number of representatives, 23.arrow_forwardIf after apportionment, the total seats apportioned exceeds the total possible apportionment, What must be done to the standard divisor to lower the seats apportioned? It should not be changed. O It cannot be determined. O It must be decreased. O It must be increased.arrow_forwardPlease answer this questions. Explain /put a solution in your answer for me to understand it. Thank youarrow_forward
- Use Webster's method of apportionment to solve the following problem. 2. Suppose a nation has 5 states, with populations shown in the chart below. The representative body had 150 seats. Find: • the standard divisor, the modified divisor, and • the distribution of representatives to each state. Then complete the table. Round all standard and modified quotas to 7 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculator. Representative Seats State A B C Total Standard Divisor Modified Divisor 150 Population 1,895,500 1,234,500 845,200 399.120 500.680 4,875,000 Standard Rounded Modified Modified Quotas Quotas Rounded Quotas Quotasarrow_forwardWhich one of the apportionment methods studied does not violate the quota rule? Group of answer choices Hamilton's Method Jefferson's Method Adam's Method Webster's Methodarrow_forwardA corporation operates four Caribbean beach resorts. They plan to distribute 49 new beach umbrellas among the resorts based on the number of rooms in each location as shown in the table. Resort A B C DRooms 146 154 175 309 What is the standard divisor? Answer 1Choose...What is the standard quota for Resort B? Answer 2Choose...How many umbrellas will Resort C receive if Hamilton's method is used? Answer 3Choose...What is the Upper Quota for Resort A? Answer 4Choose...What is the Lower Quota for Resort C? Answer 5Choose...arrow_forward
- Use Adamss's method of apportionment to solve the following problem. 1. Suppose a nation has 6 states, with populations shown in the chart below. The representative body had 200 seats. Find: the standard divisor, the modified divisor, and the distribution of representatives to each state. Then complete the table. Round all standard and modified quotas to 7 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculator. Representative Seats 200 Rounded Modified Modified Upper Quotas State Population Standard Quotas Up Quotas Quotas 1,598,400 1,236,300 5,460,200 826,900 965,500 1,112,700 11,200,000 А В C F Total Standard Divisor Modified Divisorarrow_forwardUse Adamss's method of apportionment to solve the following problem. 1. Suppose a nation has 6 states, with populations shown in the chart below. The representative body had 200 seats. Find: the standard divisor, the modified divisor, and the distribution of representatives to each state. Then complete the table. Round all standard and modified quotas to 7 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculator. Representative Seats State E F Total Standard Divisor Modified Divisor 200 Population Standard Rounded Modified Quotas Up Quotas Quotas 1,598,400 1,236,300 5,460,200 826,900 965,500 1,112,700 11,200,000 Modified Upper Quotasarrow_forwardTwenty sections of bilingual math courses, taught in both English and Spanish, are to be offered in introductory algebra, intermediate algebra, and liberal arts math. The preregistration figures for the number of students planning to enroll in these bilingual sections are given in the following table. Use Webster's method with d = 29.6 to determine how many bilingual sections of each course should be offered. Course Introductory Algebra| Intermediate Algebra Liberal Arts Math Enrollment 139 271 182 ..... Course Introductory Algebra Number of Apportioned Sections 5 (Type an integer.) Course Intermediate Algebra Number of Apportioned Sections (Type an integer.)arrow_forward
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