EBK SURVEY OF MATHEMATICS WITH APPLICAT
10th Edition
ISBN: 8220101459534
Author: RUNDE
Publisher: PEARSON
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Textbook Question
Chapter 14.4, Problem 12E
Apportioning Trucks Anabru Manufacturing has 100 forklift trucks to apportion among 3 factories. The trucks are to be apportioned based on the number of employees at each factory as shown in the table below.
Factory | A | B | C | Total |
Employees | 3822 | 7818 | 28,360 | 40,000 |
- a. Apportion the trucks using Hamilton’s method.
- b. Suppose that 1 year later the factories have the following number of employees. If the 100 forklift trucks are reapportioned to the factories, does the population paradox occur using Hamilton’s method?
Factory | A | B | C | Total |
Employees | 3961 | 7896 | 28,360 | 40,117 |
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Section 2.2 Subsets
71
Exercise Set 2.2
Practice Exercises
In Exercises 1-18, write or in each blank so that the resulting
statement is true.
1. {1, 2, 5}
{1, 2, 3, 4, 5, 6, 7}
2. {2, 3, 7}
{1, 2, 3, 4, 5, 6, 7}
3. {-3, 0, 3}
{-4,-3,-1, 1, 3, 4}
4. {-4, 0, 4}
5. {Monday, Friday}
{-3, -1, 1, 3}
{Saturday, Sunday, Monday, Tuesday, Wednesday}
6. {Mercury, Venus, Earth}
{Venus, Earth, Mars, Jupiter}
7. {x/x is a cat}
{xx is a black cat}
{x|x is a pure-bred dog}
ibrary
mbers,
ause the
entire
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8. {xx is a dog}
9. (c, o, n, v, e, r, s, a, t, i, o, n}
{v, o, i, c, e, s, r, a, n, t, o, n}
10. [r, e, v, o, l, u, t, i, o, n}
{t, o, l, o, v, e, r, u, i, n}
33. A = {x|x E N
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34. A =
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35. Ø
{7, 8, 9,..., 100}
36. Ø
_{101, 102, 103, . . ., 200}
37. [7, 8, 9,...}
38. [101, 102, 103, ...}
39. Ø
40. { }
{ }
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In Exercises 41-54, determine whether each statement is true or
false. If…
A truck loaded with rocks weighs 14,260 lb. If the truck weighs 8420 lb, how much do the rocks weigh?
Find the lengths of r, s, t, and u shown in the figure below if r+s=34. Round your answers to the nearest tenth.
Note that the figure is not drawn to scale.
16
37°
r =
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Chapter 14 Solutions
EBK SURVEY OF MATHEMATICS WITH APPLICAT
Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 5ECh. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 7ECh. 14.1 - Prob. 8ECh. 14.1 - Plurality Three candidates are running for mayor...Ch. 14.1 - Prob. 10E
Ch. 14.1 - Preference Table for Potato Chips Nine voters are...Ch. 14.1 - Prob. 12ECh. 14.1 - Logo choice in Exercises 1318, employees of...Ch. 14.1 - Prob. 14ECh. 14.1 - Logo choice in Exercises 1318, employees of...Ch. 14.1 - Logo choice in Exercises 1318, employees of...Ch. 14.1 - Logo choice in Exercises 1318, employees of...Ch. 14.1 - Logo choice in Exercises 1318, employees of...Ch. 14.1 - Prob. 19ECh. 14.1 - Prob. 20ECh. 14.1 - Prob. 21ECh. 14.1 - Prob. 22ECh. 14.1 - NFL Expansion In Exercises 2326, the National...Ch. 14.1 - NFL Expansion In Exercises 2326, the National...Ch. 14.1 - NFL Expansion In Exercises 2326, the National...Ch. 14.1 - NFL Expansion In Exercises 2326, the National...Ch. 14.1 - Board of Trustees Election. In Excercises 27-31,...Ch. 14.1 - Board of Trustees Election. In Excercises 27-31,...Ch. 14.1 - Board of Trustees Election. In Excercises 27-31,...Ch. 14.1 - Board of Trustees Election. In Excercises 27-31,...Ch. 14.1 - Prob. 31ECh. 14.1 - Post Office Sites In Exercises 32-36, the 11...Ch. 14.1 - Post Office Sites In Exercises 32-36, the 11...Ch. 14.1 - Prob. 34ECh. 14.1 - Prob. 35ECh. 14.1 - Prob. 36ECh. 14.1 - Choosing a Contractor The board of directors of...Ch. 14.1 - Prob. 38ECh. 14.1 - Flowers in a Garden The flowers in a garden at a...Ch. 14.1 - Choosing a Computer The Wizards Computer Club is...Ch. 14.1 - Prob. 41ECh. 14.1 - Describe one way other than flipping a coin to...Ch. 14.1 - Prob. 43ECh. 14.1 - Prob. 44ECh. 14.1 - Prob. 45ECh. 14.1 - Prob. 46ECh. 14.1 - Prob. 47ECh. 14.1 - Prob. 48ECh. 14.1 - Constuct a preference table showing 12 votes for 3...Ch. 14.2 - In Exercises 1 8, fill in the blank with an...Ch. 14.2 - In Exercises 1 8, fill in the blank with an...Ch. 14.2 - In Exercises 1 8, fill in the blank with an...Ch. 14.2 - In Exercises 1 8, fill in the blank with an...Ch. 14.2 - In Exercises 1 8, fill in the blank with an...Ch. 14.2 - Prob. 6ECh. 14.2 - Prob. 7ECh. 14.2 - Prob. 8ECh. 14.2 - Annual Meeting Members of the board of directors...Ch. 14.2 - Prob. 10ECh. 14.2 - Restructuring a Company The board of directors at...Ch. 14.2 - Party Theme The children in Ms Cohns seventh-grade...Ch. 14.2 - Residence Hall Improvements The administration at...Ch. 14.2 - Prob. 14ECh. 14.2 - Preference for Grape Jelly Twenty-one people are...Ch. 14.2 - A Taste Test Twenty-five people are surveyed in...Ch. 14.2 - Plurality: Irrelevant Alternatives Criterion...Ch. 14.2 - Prob. 18ECh. 14.2 - Borda Count: Irrelevant Alternatives Criterion...Ch. 14.2 - Borda Count: Irrelevant Alternatives Criterion...Ch. 14.2 - Plurality with Elimination Monotonicity Criterion...Ch. 14.2 - Plurality with Elimination: Monotonicity Criterion...Ch. 14.2 - Pair Comparision Method: Monotonicity Criterion...Ch. 14.2 - Prob. 24ECh. 14.2 - Pairwise Comparison: Irrelevant Alternatives...Ch. 14.2 - Prob. 26ECh. 14.2 - Borda Count:Majority Criterion Suppose that the...Ch. 14.2 - Borda Count: Majority Criterion Suppose that the...Ch. 14.2 - Spring Trip The History Club of St. Louis is...Ch. 14.2 - Prob. 30ECh. 14.2 - Selecting a Spokesperson The campbell Soup Comapny...Ch. 14.2 - Prob. 32ECh. 14.2 - Prob. 33ECh. 14.2 - Prob. 34ECh. 14.2 - Construct a prefernce table with three candidates...Ch. 14.2 - Construct a preference table with three candidates...Ch. 14.2 - Construct a preference table with four candidates...Ch. 14.2 - Prob. 38ECh. 14.3 - The total population under consideration divided...Ch. 14.3 - When each group's population is divided by the...Ch. 14.3 - A standard quota rounded up to the nearest integer...Ch. 14.3 - A standard quota rounded down to the nearest...Ch. 14.3 - The rule stating that an apportionment should...Ch. 14.3 - Jefferson's method, Websters method, and Adams'...Ch. 14.3 - In Exercises 1-10, fill in the blank with an...Ch. 14.3 - a. The apportionment method that uses a modified...Ch. 14.3 - a. The apportionment method that uses a modified...Ch. 14.3 - Jeffersons method, Webster's method, and Adams'...Ch. 14.3 - In Exercises 11-49, when appropriate round quotas...Ch. 14.3 - Determine each state's apportionment using...Ch. 14.3 - a. Determine each states modified quota using the...Ch. 14.3 - Prob. 14ECh. 14.3 - Legislative Seats In Exercises 11-18, suppose that...Ch. 14.3 - Legislative Seats In Exercises 11-18, suppose that...Ch. 14.3 - Prob. 17ECh. 14.3 - Prob. 18ECh. 14.3 - Hotel staff In Exercises 19-26, a large hotel...Ch. 14.3 - Prob. 20ECh. 14.3 - Hotel staff In Exercises 19-26, a large hotel...Ch. 14.3 - Prob. 22ECh. 14.3 - Hotel staff In Exercises 19-26, a large hotel...Ch. 14.3 - Prob. 24ECh. 14.3 - Hotel staff In Exercises 19-26, a large hotel...Ch. 14.3 - Prob. 26ECh. 14.3 - Prob. 27ECh. 14.3 - Umbrellas In Exercises 27-30, Sandy Shores Resorts...Ch. 14.3 - Prob. 29ECh. 14.3 - Prob. 30ECh. 14.3 - Now Computers In Exercise 31-34, a university is...Ch. 14.3 - Now Computers In Exercise 31-34, a university is...Ch. 14.3 - Now Computers In Exercise 31-34, a university is...Ch. 14.3 - Now Computers In Exercise 31-34, a university is...Ch. 14.3 - Now Boats In Exercises 35-38, a boat manufacturer...Ch. 14.3 - Now Boats In Exercises 35-38, a boat manufacturer...Ch. 14.3 - Prob. 37ECh. 14.3 - Prob. 38ECh. 14.3 - New Buses In Exercises 39-42, the Transit...Ch. 14.3 - Prob. 40ECh. 14.3 - Prob. 41ECh. 14.3 - Prob. 42ECh. 14.3 - Nursing Shifts In Exercises 43-46, a hospital has...Ch. 14.3 - Prob. 44ECh. 14.3 - Nursing Shifts In Exercises 43-46, a hospital has...Ch. 14.3 - Prob. 46ECh. 14.3 - The First Census In 1970, the first United States...Ch. 14.3 - Legislative Seats Suppose that a country with a...Ch. 14.3 - Prob. 49ECh. 14.4 - In Exercises 1- 6, fill in the blank with an...Ch. 14.4 - When the addition of a new group and additional...Ch. 14.4 - When an increase in the total number of items to...Ch. 14.4 - Hamiltons and Jeffersons apportionment methods,...Ch. 14.4 - Adams and Websters apportionment methods favor...Ch. 14.4 - The apportionment method that satisfies the quota...Ch. 14.4 - In Exercises 7-18, when appropriate, round quotas...Ch. 14.4 - Prob. 8ECh. 14.4 - Legislative Seats A country with three states has...Ch. 14.4 - Prob. 10ECh. 14.4 - Apportioning Promotions ATT has 25,000 employees...Ch. 14.4 - Apportioning Trucks Anabru Manufacturing has 100...Ch. 14.4 - College Internships A college with five divisions...Ch. 14.4 - Prob. 14ECh. 14.4 - Additional Employees Cynergy Telecommunications...Ch. 14.4 - Adding a Park The town of Manlius purchased 25 new...Ch. 14.4 - Adding a State A country with two states has 33...Ch. 14.4 - Adding a State A country with two states has 66...Ch. 14 - Electing the Club President The Sailing Club of...Ch. 14 - Prob. 2RECh. 14 - Prob. 3RECh. 14 - Prob. 4RECh. 14 - Prob. 5RECh. 14 - Prob. 6RECh. 14 - Prob. 7RECh. 14 - Prob. 8RECh. 14 - In Exercises 5-10, the members of the Student...Ch. 14 - Prob. 10RECh. 14 - Prob. 11RECh. 14 - Sports Preferences In Exercises 11-16, the...Ch. 14 - Sports Preferences In Exercises 11-16, the...Ch. 14 - Sports Preferences In Exercises 11-16, the...Ch. 14 - Sports Preferences In Exercises 11-16, the...Ch. 14 - Sports Preferences In Exercises 11-16, the...Ch. 14 - Choosing a License Plate Style Park Forest...Ch. 14 - Accountants Convention The National Association of...Ch. 14 - Prob. 19RECh. 14 - Hiring a New Paralegal In Exercises 20 and 21, a...Ch. 14 - Prob. 21RECh. 14 - Plurality with Elimination Consider the following...Ch. 14 - A Taste Test In a taste test, 114 people are asked...Ch. 14 - Selecting a Band The Southwestern High School...Ch. 14 - Prob. 25RECh. 14 - Prob. 26RECh. 14 - Violating the Irrelevant Alternatives Criterion...Ch. 14 - Prob. 28RECh. 14 - Prob. 29RECh. 14 - Prob. 30RECh. 14 - Prob. 31RECh. 14 - Prob. 32RECh. 14 - Prob. 33RECh. 14 - Prob. 34RECh. 14 - Prob. 35RECh. 14 - Prob. 36RECh. 14 - Prob. 37RECh. 14 - Prob. 38RECh. 14 - Prob. 39RECh. 14 - Prob. 40RECh. 14 - Prob. 41RECh. 14 - Prob. 42RECh. 14 - Prob. 1TCh. 14 - Prob. 2TCh. 14 - Prob. 3TCh. 14 - Prob. 4TCh. 14 - Prob. 5TCh. 14 - Prob. 6TCh. 14 - Prob. 7TCh. 14 - Prob. 8TCh. 14 - Prob. 9TCh. 14 - Prob. 10TCh. 14 - Prob. 11TCh. 14 - Prob. 12TCh. 14 - Prob. 13TCh. 14 - Prob. 14TCh. 14 - Prob. 15TCh. 14 - Prob. 16TCh. 14 - Prob. 17TCh. 14 - Prob. 18TCh. 14 - Prob. 19TCh. 14 - Suppose that a fourth state with the population...
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