Mathematical Ideas (13th Edition) - Standalone book
13th Edition
ISBN: 9780321977076
Author: Charles D. Miller, Vern E. Heeren, John Hornsby, Christopher Heeren
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 15.3, Problem 12E
(a)
To determine
To calculate: The total number of acres in five state parks and the standard divisor.
(b)
To determine
To calculate: The apportionment of trees using Hamilton method.
(c)
To determine
To calculate: The apportionment of trees using Jefferson method.
(d)
To determine
To calculate: The apportionment of trees using standard round off method.
(e)
To determine
To calculate: The value of md for Webster method.
(f)
To determine
To calculate: The apportionment of trees using Webster method.
(g)
To determine
To calculate: The rounding-off standard quota using Huntington-Hill method.
(h)
To determine
To calculate: The value of modified divisor md for Huntington-Hill method.
(i)
To determine
To calculate: The apportionment of trees using Huntington-Hill method.
(j)
To determine
The differences among the four apportionments.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Twenty 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.)
Twenty 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
(Type an integer.)
Course
Intermediate Algebra
Number of Apportioned Sections
9
(Type an integer.)
Course
Liberal Arts Math
Number of Apportioned Sections
(Type an integer.)
A state fisheries commission wants to estimate the number of bass caught in a given
lake during a season in order to restock the lake with the appropriate number of
young
fish. The commission has information on the seasonal catch (CATCH) in
thousands of bass per square mile; the size of the lake in square miles (SIZE); the
number of lakeshore residences per square mile (RESIDENCE); the number of living
places for bass (i.e. weed beds, sunken trees, drop offs etc.) (STRUCTURE) and
ACCESS a dummy variable equal to 1 if the lake has public access and 0 if not.
САТCH
RESIDENCE
SIZE
АСCESS
STRUCTURE
3.6
92.2
0.21
81
0.8
86.7
0.30
26
2.5
80.2
0.31
52
2.9
87.2
0.40
64
1.4
64.9
0.44
40
0.9
90.1
0.56
22
3.2
60.7
0.78
80
2.7
50.9
1.21
60
2.2
86.1
0.34
1.
30
5.9
90.0
0.40
1
90
3.3
80.4
0.52
1.
74
2.9
75.0
0.66
1.
50
3.6
70.0
0.78
1
61
2.4
64.6
0.91
40
1.9
50.0
1.10
1.
22
2.0
50.0
1.24
1
50
1.9
51.2
1.47
1.
37
3.1
40.1
2.21
1
61
2.6
45.0
2.46
1.
39
3.4
50.0
2.80
1
53
(a) What do you think are the…
Chapter 15 Solutions
Mathematical Ideas (13th Edition) - Standalone book
Ch. 15.1 - Choosing a Poster Dog by the Plurality Method A...Ch. 15.1 - Choosing a Poster Dog by the Plurality Method A...Ch. 15.1 - Choosing a Poster Dog by Alternative Methods For...Ch. 15.1 - Choosing a Poster Dog by Alternative MethodsFor...Ch. 15.1 - Observing the Effect of the Number of Candidates...Ch. 15.1 - Observing the Effect of the Number of Candidates...Ch. 15.1 - Observing the Effect of the Number of Candidates...Ch. 15.1 - Observing the Effect of the Number of Candidates...Ch. 15.1 - Observing the Effect of the Number of Candidates...Ch. 15.1 - Observing the Effect of the Number of Candidates...
Ch. 15.1 - Applying Four Voting Methods to a Voter Profile...Ch. 15.1 - Applying Four Voting Methods to a Voter Profile...Ch. 15.1 - Applying Four Voting Methods to a Voter Profile...Ch. 15.1 - Applying Four Voting Methods to a Voter Profile...Ch. 15.1 - Applying Four Voting Methods to a Voter Profile...Ch. 15.1 - Applying Four Voting Methods to a Voter Profile...Ch. 15.1 - Applying Four Voting Methods to a Voter Profile...Ch. 15.1 - Applying Four Voting Methods to a Voter Profile...Ch. 15.1 - Holding a Runoff Election One common solution to...Ch. 15.1 - Prob. 20ECh. 15.1 - Prob. 21ECh. 15.1 - Prob. 22ECh. 15.1 - Prob. 23ECh. 15.1 - Prob. 24ECh. 15.1 - Prob. 25ECh. 15.1 - Prob. 26ECh. 15.1 - Prob. 27ECh. 15.1 - The Pairwise Comparison Method Each table...Ch. 15.1 - Prob. 29ECh. 15.1 - Prob. 30ECh. 15.1 - The Borda Method Each table represents a Borda...Ch. 15.1 - Prob. 32ECh. 15.1 - Prob. 33ECh. 15.1 - Prob. 34ECh. 15.1 - Prob. 35ECh. 15.1 - Prob. 36ECh. 15.1 - The Coombs Method The Coombs method of voting is a...Ch. 15.1 - Prob. 38ECh. 15.1 - Prob. 39ECh. 15.1 - Prob. 40ECh. 15.2 - Identifying Violations of the Majority Criterion...Ch. 15.2 - Identifying Violations of the Majority Criterion...Ch. 15.2 - Identifying Violations of the Majority...Ch. 15.2 - Identifying Violations of the Majority Criterion...Ch. 15.2 - Identifying Violations of the Condorcet...Ch. 15.2 - Identifying Violations of the Condorcet Criterion...Ch. 15.2 - Identifying Violations of the Condorcet Criterion...Ch. 15.2 - Identifying Violations of the Condorcet Criterion...Ch. 15.2 - Prob. 9ECh. 15.2 - Prob. 10ECh. 15.2 - Prob. 11ECh. 15.2 - Prob. 12ECh. 15.2 - Prob. 13ECh. 15.2 - Prob. 14ECh. 15.2 - Prob. 15ECh. 15.2 - Prob. 16ECh. 15.2 - Prob. 17ECh. 15.2 - Prob. 18ECh. 15.2 - Prob. 19ECh. 15.2 - Irrelevant Alternatives in a Hare Method Election...Ch. 15.2 - 21. Explain why a violation of the majority...Ch. 15.2 - Prob. 22ECh. 15.2 - Prob. 23ECh. 15.2 - Prob. 24ECh. 15.2 - Prob. 25ECh. 15.2 - Prob. 26ECh. 15.2 - Prob. 27ECh. 15.2 - Prob. 28ECh. 15.2 - Prob. 29ECh. 15.2 - Prob. 30ECh. 15.2 - Prob. 31ECh. 15.2 - Prob. 32ECh. 15.2 - Prob. 33ECh. 15.2 - Prob. 34ECh. 15.3 - Find each quantity (to the nearest whole number)...Ch. 15.3 - Find each quantity (to the nearest whole number)...Ch. 15.3 - Find each quantity (to the nearest whole number)...Ch. 15.3 - Find each quantity (to the nearest whole number)...Ch. 15.3 - Solve each problem.
5. New Trees for Wisconsin...Ch. 15.3 - Apportioning Computers to Schools Enrollments for...Ch. 15.3 - Assigning Faculty to Courses The English...Ch. 15.3 - 8. Apportioning Sailboats to Resorts The number of...Ch. 15.3 - Prob. 9ECh. 15.3 - 10. Show that the Webster method apportionment of...Ch. 15.3 - Prob. 11ECh. 15.3 - Prob. 12ECh. 15.3 - Prob. 13ECh. 15.3 - Prob. 14ECh. 15.3 - Prob. 15ECh. 15.3 - Find the Huntington-Hill cutoff point for rounding...Ch. 15.3 - Creating a Profile of School Bus Riders Create a...Ch. 15.3 - Prob. 18ECh. 15.3 - Prob. 19ECh. 15.3 - Prob. 20ECh. 15.3 - The standard quotas rounded up to the nearest...Ch. 15.3 - Prob. 22ECh. 15.3 - Prob. 23ECh. 15.3 - Prob. 24ECh. 15.4 - Quota Rule Violations with the Jefferson Method In...Ch. 15.4 - Quota Rule Violations with the Jefferson Method In...Ch. 15.4 - Quota Rule Violations with the Jefferson Method In...Ch. 15.4 - Quota Rule Violations with the Jefferson Method In...Ch. 15.4 - Alabama Paradox with the Hamilton Method In each...Ch. 15.4 - Alabama Paradox with the Hamilton Method In each...Ch. 15.4 - Alabama Paradox with the Hamilton Method In each...Ch. 15.4 - Alabama Paradox with the Hamilton Method In each...Ch. 15.4 - Population Paradox with the Hamilton Method In...Ch. 15.4 - Population Paradox with the Hamilton Method In...Ch. 15.4 - Population Paradox with the Hamilton Method In...Ch. 15.4 - Population Paradox with the Hamilton Method In...Ch. 15.4 - New States Paradox with the Hamilton Method In...Ch. 15.4 - New States Paradox with the Hamilton Method In...Ch. 15.4 - New States Paradox with the Hamilton Method In...Ch. 15.4 - New States Paradox with the Hamilton Method In...Ch. 15.4 - Violations of the Quota Rule? For each...Ch. 15.4 - Violations of the Quota Rule? For each...Ch. 15.4 - Violations of the Quota Rule? For each...Ch. 15.4 - Prob. 20ECh. 15.4 - Prob. 21ECh. 15.4 - Prob. 22ECh. 15.4 - Prob. 23ECh. 15.4 - Prob. 24ECh. 15.4 - Prob. 25ECh. 15.4 - 26. The Jefferson and Adams methods are both...Ch. 15 - How many different complete rankings are possible...Ch. 15 - Prob. 2TCh. 15 - Prob. 3TCh. 15 - Prob. 4TCh. 15 - Prob. 5TCh. 15 - Why is the irrelevant alternatives criterion an...Ch. 15 - Prob. 7TCh. 15 - Prob. 8TCh. 15 - Prob. 9TCh. 15 - Prob. 10TCh. 15 - Prob. 11TCh. 15 - Prob. 12TCh. 15 - Prob. 13TCh. 15 - Prob. 14TCh. 15 - Prob. 15TCh. 15 - Prob. 16TCh. 15 - Prob. 17TCh. 15 - Prob. 18TCh. 15 - Prob. 19TCh. 15 - Prob. 20TCh. 15 - Prob. 21TCh. 15 - Prob. 22TCh. 15 - Prob. 23TCh. 15 - Prob. 24TCh. 15 - Prob. 25TCh. 15 - One hundred seats are to be apportioned to 4...Ch. 15 - Prob. 27TCh. 15 - Prob. 28TCh. 15 - Prob. 29TCh. 15 - Explain the Alabama paradox.Ch. 15 - Prob. 31TCh. 15 - Prob. 32T
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 state fisheries commission wants to estimate the number of bass caught in a given lake during a season in order to restock the lake with the appropriate number of young fish. The commission has information on the seasonal catch (CATCH) in thousands of bass per square mile; the size of the lake in square miles (SIZE); the number of lakeshore residences per square mile (RESIDENCE); the number of living places for bass (i.e. weed beds, sunken trees, drop offs etc.) (STRUCTURE) and ACCESS a dummy variable equal to 1 if the lake has public access and 0 if not. What do you think are the expected signs of the regression coefficients? Justify your choice. Using R-studio, estimate the multiple linear regression model. ALL input codes and output tables should be provided. (b) Is the overall regression equation statistically significant at the 1% level? Justify your answer. Ensure that you state the null hypothesis(es) and the decision rule in your analysis. (c) Find and interpret a 95%…arrow_forwardA 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_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 198 Enrollment 130 279 Carrow_forward
- A 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_forwardIn the apportionment of the House of Representatives based on the 1790 Census, there are 15 states. At that time Maine was still considered part of Massachusetts. If Maine had been a separate state, it would have shared in the distribution of the seats in the House. In the 1790 census, Maine's population was 96,643. Subtract this number from Massachusetts' population and then answer the question .State_______________ Population Connecticut_______ 237,655 Delaware______________59,096 Georgia_________________82,548 Kentucky_______________73,677 Maryland_______________319,728 Massachusetts___________475,199 New Hampshire___________141,899 New Jersey_________________184,139 New York__________________340,241 North Carolina______________395,005 Pennsylvania________________433,611 Rhode Island__________________69,112 South Carolina______________249,073 Vermont_____________________85,341 Virginia______________________747,550 TOTAL_______________________3,893,874 What are the standard quotas…arrow_forwardA kindergarten teacher has an incentive program to get her five students to sleep more during nap time. She has 50 pieces of candy to divide among the children at the end of the week based on the number of minutes each of them spends sleeping. The minutes are listed below in the following table: Table: Sleeping Times Child Angel Beth Cindy David Edith Total Sleeping time 188 142 138 64 218 750 (minutes) Use Hamilton's method to apportion the candy among the children.arrow_forward
- c. The total amount of estimated losses from hurricane Hugo was $4.2 billion. Source: Insurance Service Office. Select one: O a. Descriptive O b. Inferentialarrow_forwardA hospital has 195 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. Shift Room calls A B C D Total 773 921 491 155 2340 Determine each shift's apportionment using Jefferson's method. (Note: Divisors do not have to be whole numbers.) Shift Room calls Nurses A B C D Total 773 921 491 155 2340 (Type whole numbers.)arrow_forward4. During a softball season, Mikah had the following batting performances: 10 home runs, 7 triples, 6 doubles, 35 singles, 8 walks, and 2 Outs. What is Mikah 's slugging percentage for the season?arrow_forward
- An egg vendor broke all the eggs that he was delivering to a local store. He could not remember how many eggs there were in all. However, he did remember that when he tried to pack them into packages of 2, 3, 4, 5, and 6 he had one left over each time. When he packed them into packages of 7, he had none left over. What is the smallest number of eggs he could have had in shipment? Source: Alfred S. Posamentier’s Problem – solving strategies for efficient and elegant solutionsarrow_forwardThe number of salespeople assigned to work during a shift is apportioned based on the average number of customers during that shift. Apportion 16 salespeople using Hamilton's method given the information below. Shift Morning Midday Afternoon Evening Average number of customers 150 300 415 470 Salespeople to assignarrow_forwardA hospital has 191 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. Shift A B C D Total Room calls 770 635 504 192 2101 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 770 635 504 192 2101 Nursesarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Use of ALGEBRA in REAL LIFE; Author: Fast and Easy Maths !;https://www.youtube.com/watch?v=9_PbWFpvkDc;License: Standard YouTube License, CC-BY
Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=P182Abv3fOk;License: Standard YouTube License, CC-BY
Applications of Algebra (Digit, Age, Work, Clock, Mixture and Rate Problems); Author: EngineerProf PH;https://www.youtube.com/watch?v=Y8aJ_wYCS2g;License: Standard YouTube License, CC-BY