3. Three colleges in the same region, colleges A, B, and C, decide to form a 10-membercommittee of students representing the three colleges. It is decided that representation willbe proportional to the number of students in each college in such a way that each college willhave at least one representative. College A has 1,455 students; College B has 1,683 students;and College C has 2,706 students.a. Find the standard divisor and each college's standard quota.b. Use Hamilton's method to apportion the number of committee members to each college.c. Use Lowndes' method to apportion the number of committee members to each college.d. Which of the two methods would the students of College A prefer? Explain your answer.e. If we use the Huntington-Hill method with a modified divisor of 750, how manymembers would each college have?f. Is 750 a correct choice of modified divisor to apportion the 10 committee positions usingthe Huntington-Hill method?

Given: College A has 1455 students, College B has 1683 students and College C has 2706 students. a.…

Answered: 3. Three colleges in the same region,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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
In a survey conducted by a reputable marketing agency, 248 of 1000 adults 19 years of age or older confessed to bringing and using their cell phone every trip to the bathroom Determine the population of interest. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The population is all cell phone users. O B. The population is all adults. O c. The population is all adults 19 years of age or older. O D. The population is the 1000 adults 19 years of age or older. (Type a whole number.)
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
Nine homes are chosen at random from real estate listings in two suburban neighborhoods, and the square footage of each home is noted in the following table. Size of Homes in Two Subdivisions Subdivision Square Footage Greenwood 2,805 2,741 2,567 2,407 2,842 2,571 2,785 2,420 2,616 Pinewood 2,786 2,798 2,371 2,587 2,604 2,370 2,522 2,805 3,624 (c) Find the test statistic tcalc. (A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)(d) Assume unequal variances to find the p-value. (Use the quick rule to determine degrees of freedom. Round your answer to 4 decimal places.)
A small country is comprised of four states, A, B, C, and D. The population of each state, in thousands, is given in the following table. State Population (in thousands) A B 75 148 C D 285 392 According to the country's constitution, the congress will have 90 seats, divided among the four states according to their respective populations. a) Find the standard divisor, in thousands. How many people are there for each seat in congress? standard divisor: number of people for each seat: (Type an integer in each box.) b) Find each state's standard quota. (Two of them have been done for you.) State Population (in thousands) Standard quota A D 75 392 7.5 39.2 (Type an integer or a decimal rounded to two decimal places, if necessary, in each box.) B C 148 285 Total 900 Total 900
Thirty-eight cities were researched to determine whether they had a professional sports team, a symphony, or a children's museum. Of these cities, 19 had a professional sports team, 18 had a symphony, 20 had a children's museum, 13 had a professional sports team and a symphony, 11 had a professional sports team and a children's museum, 11 had a symphony and a children's museum, and 7 had all three activities. How many cities have a pro sports team or a symphony but not a childrens museum?
(7)
A small country is comprised of four states, A, B, C, and D. The population of each state is given in the following table. State A B Total 144,000 208,000 432,000 496,000 1,280,000 3.6 5.2 10.8 12.4 Population Standard quota According to the country's constitution, the congress will have 32 seats, divided among the four states according to their respective populations. Determine each state's apportionment using Hamilton's method where the standard divisor is 40. Complete the table below. State Population Allocated seats B D 144,000 208,000| 432,000 496,000 5 (Type integers or simplified fractions.) Total 1,280,000 32 Ele
A small country is comprised of four states, A, B, C, and D. The population of each state, in thousands, is given in the following table. State A C D Total Population (in thousands) 138 266 534 662 1600 According to the country's constitution, the congress will have 80 seats, divided among the four states according to their respective populations Find state's C standard quota. (Round to one decimal place)
Use Huntington-Hill's method of apportionment to solve the following problems. 3. Suppose a nation has 4 states, with populations shown in the chart below. The representative body had 80 seats. a.) Find the standard divisor and the distribution of representatives to each state using the Huntington-Hill method of apportionment. Round the standard 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 D Total Standard Divisor 80 Population Standard Quotas 100 200.650 324.150 875,400 456,200 1,856,400 Round Down Round Geometric Up Mean Huntington- Hill's Method b.) Find the modified divisor and the distribution of representatives to each state using the Huntington-Hill method of apportionment. Round the 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.
A small country with a population of 6,000,000 consists of four states, A, B, C, and D. There are 150 seats in the legislature that need to be apportioned among the four states. The population of each state is shown in the table. Determine each state's apportionment using Webster's method using the standard divisor. State A B C D Total J Population 1,250,000 2,728,000 875,000 1,147,000 6,000,000 Complete the table below. State Population Number of seats (Type whole numbers.) A 1,250,000 B 2,728,000 C 875,000 D 1,147,000 Total 6,000,000 150

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