This exercise comes in two parts. Read Part I and answer (a) and (b), then read Part II and answer (c) and (d). Part I. The Intergalactic Federation consists of three sovereign planets: Aila, with a population of 5.2 million, Balin, with a population of 15.1 million, and Cona, with a population of 10.6 million. The Intergalactic Parliament has 50 seats that are apportioned among the three planets based on their populations. a. Find the standard divisor in the Intergalactic Parliament. b. Find the apportionment of the 50 seats to the three planets under Hamilton's method. Part II . Based on the results of a referendum, the federation expands to include a fourth planet, Dent, with a population of 9.5 million. To account for the additional population the number of seats in the Intergalactic Parliament is increased by 15 to a total of 65. [9.5 million individuals represent approximately 15 seats based on the standard divisor foundin (a).] c. Find the apportionment of the 65 seats to the four planets using Hamilton's method. d. Which paradox is illustrated by the results of (b) and (c)? Explain.
This exercise comes in two parts. Read Part I and answer (a) and (b), then read Part II and answer (c) and (d). Part I. The Intergalactic Federation consists of three sovereign planets: Aila, with a population of 5.2 million, Balin, with a population of 15.1 million, and Cona, with a population of 10.6 million. The Intergalactic Parliament has 50 seats that are apportioned among the three planets based on their populations. a. Find the standard divisor in the Intergalactic Parliament. b. Find the apportionment of the 50 seats to the three planets under Hamilton's method. Part II . Based on the results of a referendum, the federation expands to include a fourth planet, Dent, with a population of 9.5 million. To account for the additional population the number of seats in the Intergalactic Parliament is increased by 15 to a total of 65. [9.5 million individuals represent approximately 15 seats based on the standard divisor foundin (a).] c. Find the apportionment of the 65 seats to the four planets using Hamilton's method. d. Which paradox is illustrated by the results of (b) and (c)? Explain.
This exercise comes in two parts. Read Part I and answer (a) and (b), then read Part II and answer (c) and (d).
Part I. The Intergalactic Federation consists of three sovereign planets: Aila, with a population of 5.2 million, Balin, with a population of 15.1 million, and Cona, with a population of 10.6 million. The Intergalactic Parliament has 50 seats that are apportioned among the three planets based on their populations.
a. Find the standard divisor in the Intergalactic Parliament.
b. Find the apportionment of the 50 seats to the three planets under Hamilton's method.
Part II. Based on the results of a referendum, the federation expands to include a fourth planet, Dent, with a population of 9.5 million. To account for the additional population the number of seats in the Intergalactic Parliament is increased by 15 to a total of 65. [9.5 million individuals represent approximately 15 seats based on the standard divisor foundin (a).]
c. Find the apportionment of the 65 seats to the four planets using Hamilton's method.
d. Which paradox is illustrated by the results of (b) and (c)? Explain.
In her last semester at SPC, Polly Hedron needs to take Statistics, Composition 2, and Ethics. Because Polly is registering early, she has 19 choices for her section of Statistics, 18 choices for her section of Composition, and 18 choices for her section of Ethics. From how many possible schedules can Polly choose?
In the city of Milford, applications for zoning changes go through a two-step process: a review by the planning commission and a final decision by the city council. At step 1, the planning commission reviews the zoning change request and makes a positive or negative recommendation concerning the change. At step 2, the city council reviews the planning commission's recommendation and then votes to approve or to disapprove the zoning change. Suppose the developer of an apartment complex submits an application for a zoning change. Consider the application process as an experiment.
(a)
How many sample points are there for this experiment?
List the sample points. (Select all that apply.)
council approves-planning commission positivecouncil disapproves-planning commission negativeplanning commission negative-council disapprovescouncil disapproves-planning commission positivecouncil approves-planning commission negativeplanning commission positive-council approvesplanning commission…
Marie, Ten-ten, My-my, Shayne, and Gelli plan to form a musical band. In how many ways can they be seated in a round table if Ten-ten and My-my will not sit next to each other?
Chapter 4 Solutions
Excursions in Modern Mathematics, Books a la Carte Edition Plus MyLab Math -- Access Card Package (9th Edition)
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