**Title: Exploring Apportionment in Law Enforcement Task Forces****Text:**In Metro City, a task force is to be formed to tackle drug enforcement, consisting of 49 local police officers, 10 federal agents, and 36 state police officers. A special thirteen-member task force will be developed to investigate a specific case. The membership of this task force will be proportional to the numbers in each of these three groups of law enforcement officers.**Tasks:**- **a.** Using the Hamilton method, apportion the members for this task force.- **b.** Incrementally increase the task force size to 14, 15, and so on, and redo the apportionment each time until an Alabama paradox is identified.- **c.** Identify the first instance above 13 members when the paradox occurs, and specify which group loses a member when the task force size increases.**Apportionment Exercise:****Task a:** For a 13-member task force:- Determine the allocation of members among local police, federal agents, and state police using the Hamilton method.[Input Boxes for Answers]- Local police: [ ]- Federal agents: [ ]- State police: [ ]By engaging in this exercise, students will gain practical understanding of mathematical apportionment techniques used in real-world settings, highlighting potential issues such as the Alabama paradox.

Given, There are 49 local police, 10 federal agents, and 36 state police involved with…

Answered: There are 49 local police, 10 federal…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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A hospital has a nursing staff of 247 nurses working in four shifts: A (7:00 A.M. to 1:00 P.M.), B (1:00 P.M. to 7:00 P.M.), C (7:00 P.M. to 1:00 A.M.), and D (1:00 A.M. to 7:00 A.M.). The number of nurses apportioned to each shift is based on the average number of patients per shift, given in the following table. Shift A B C D Average Number of Patients 441 687 522 326 Use Hamilton's method to apportion the 247 nurses among the shifts at the hospital.
As of January 3, 2019, the US House of Representatives had the following demographics: U.S. House of Representatives Gender Male Female Total Political Party Republican Democrat Total 327 106 433 183 15 198 144 91 235
A hospital has 199 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 856 995 518 218 2587 Determine each shift's apportionment using Jefferson's method. (Note: Divisors do not have to be whole numbers.)
Thirteen people work in an office. If eight of them are to be chosen to serve on a hiring committee, how many ways can this committee be chosen? a. 1287 b. 51,891,840 c. 5,040 d. 8
A solar system consisting of five planets has a governing council of 135 members who are apportioned proportional to the populations of the planets. The population for each planet is listed in the following table. Planet Population Ajax Borax Calax Delphi 183,000 576,000 274,000 749,000 Eljix 243,000 Total 2,025,000 For each planet, find the standard quota, the upper quota and the lower quota. Give your answers in a table.
A corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO). It must also appoint a planning committee with five different members. There are 12 qualified candidates, and officers can also serve on the committee. Complete parts (a) through (c) below. a. How many different ways can the officers be appointed? There are 11,88011,880 different ways to appoint the officers. b. How many different ways can the committee be appointed? There are 792792 different ways to appoint the committee. c. What is the probability of randomly selecting the committee members and getting the five youngest of the qualified candidates? P(getting the five youngest of the qualified candidates)=nothing (Type an integer or a simplified fraction.)
As of January 3, 2019, the US House of Representatives had the following demographics: U.S. House of Representatives Gender Male Female Total Political Party Republican Democrat Total 327 106 433 183 15 198 144 91 235
The populations of three counties, A, B, and C, at present and in 10 years are shown in the table. "Lucky" Fulano, the state governor, suggested a 13-seat legislature apportioned according to population using Hamilton's method. County Now 10 Years A 89,000 97,000 B 125,000 145,000 C 225,000 247,000 Total 439,000 439,000 489,000 (a) How many seats will each of the counties get now? county A seats county B seats county C seats (b) How many seats will each of the counties get in 10 years? county A seats seats seats county B county C
Faculty at a certain university need to create a committee to evaluate the general studies curriculum offered on campus. If there are 25 faculty members and they must select a chair, vice chair, secretary and 4 additional faculty members to be on the committee, in how many ways can the committee be formed?
The population for the following district is subdivided by region: Region 15 has 496 students Region 16 has 224 students Region 17 has 399 students If an organization selects 3 students to represent the district, calculate the standard divisor needed to be eligible for representation of the region. Round your answer to 2 decimal places. 373
The acreage of five county parks in Hillsborough County is shown in the following table. Suppose the county wishes to distribute 75 new park rangers among these five parks. 600 E. G. Simmons 470 Lettuce Lake 240 Lithia Springs 160 Eureka Springs 30 Lake Park (a) Find the modified quota for each park using the divisor 20.5. (Round your answers to two decimal places.) Lake Park E. G. Simmons Lettuce Lake Lithia Springs Eureka Springs (b) Find the numbers of rangers that should be allocated to each park using Adams' method. Lake Park rangers rangers rangers rangers rangers E. G. Simmons Lettuce Lake Lithia Springs Eureka Springs
A small country is made up of three separate islands: Eno, with a population of 100,300, Owt, with a population of 9,405, and Eerht with a population of 90,295. The country has a senate with 200 members whose seats are apportioned proportional to the population of each island. a. Use Hamilton's method to apportion the 200 seats. b. The senate decides to add another seat so that they have an odd number of senators. Use Hamilton's method to apportion the 201 seats. c. Compare your results from parts (a) and (b). This is an example of which paradox?

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