A small country is comprised of four states, A, B, C, and D.The population of each state, in thousands, is given in thefollowing table.StateABDTotalPopulation (inthousands)138 266 534 662 1600According to the country's constitution, the congresswill have 80 seats, divided among the four statesaccording to their respective populationsFind the lower quota for state C.

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Answered: A small country is comprised of four…

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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H 2. 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. Representative Seats State A B C D E Total Standard Divisor Modified Divisor 150 Population 1,895,500 1,234,500 845,200 399,120 500,680 4,875,000 Modified Modified Rounded Standard Quotas Rounded Quotas Quotas Quotas Huntington-Hill's Method of Apportionment 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.…
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The table shows the results of a country's census. 105 seats must be divided among the 15 states according to their populations. Use Adams's method with d = 36,300 to find each state's apportionment of congressional seats. A 331,986 236,749 55,924 70,160 66,143 278,150 475,658 123,382 179,965 B J 353,970 K 432,326 68,926 206,896 D L E F N 84,883 G 630,164 H Fill in the table to indicate the correct number of seats apportioned to each state. State Seats A 7 C 2 D 2 E 8 F J
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
Redistricting and House Elections The 2010 census led to the loss of two house seats in New York and Ohio, the loss of one House seat in Pennsylvania, the gain of two house seats in Florida and the gain of four House seats in Texas. Consider the following approximate vote counts for all House districts in these states in 2010 (before redistricting) and 2012 (after redistricting). All figures are in thousands of votes. Votes for other parties are neglected. a. Find the percentages of votes cast for Republican and Democratic candidates in 2012 and 2012. b. Find the percentages of House seats that were won by republican and democratic candidates in 2010 and 2012. c. Explain whether the distributions of votes reflect the distributions of House seats. d. Discuss whether redistricting based on the 2010 census affected the distributions of votes and representatives. VOTES FOR VOTES FOR DEMOCRATIC REPUBICAN CANDIDATES CANDIDATES REPUBLICAN SEATS (THOUSANDS) (THOUSANDS) 2053 1611 13 2620 2412…
A small country with a population of 8,000,000 consists of four states, A, B, C, and D. There are 160 seats in the legislature that need to be apportioned among the four states. The population of each state is shown in the table. Use the table to answer parts (a) and (b). State A D Total Population 1,987,000 2,155,000 917,000 2,941,000 8,000,000 ... a) Determine each state's modified quota using the divisor 49,400. State A В C D Total Population 1,987,000 2,155,000 917,000 2,941,000 8,000,000 Modified Quota (Round to the nearest hundredth as needed.)
Please solve B)
A 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.)
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
Carl has just started a project where he needs to gather demographic information about the personnel at a company's three locations. Primarily, he wants to know the gender, level of education, and ethnic/racial backgrounds of the company's workforce. Use the information from the employee survey to create charts showing the demographic breakdowns in the three cities Carl is examining. Write a fraction with the number of employees in each category as the numerator and the total number of employees in each city as the denominator. Convert the fraction to a decimal. Check your calculations by adding the decimals representing the number of men and women in each city. Complete the chart. Gender City A City B City C Men 420 350 135 Women 130 525 65 Total 550 875 200
The table shows the results of a country's census. 105 seats must be divided among the 15 states according to their populations. Use Adams's method with d = 36,200 to find each state's apportionment of congressional seats. A 236,918 330,120 B 353,618 55,884 70,587 66,773 J K 431,903 D L 68,664 206,442 85,280 630,971 E 277,470 473,672 140,948 F N G H 178,712 Fill in the table to indicate the correct number of seats apportioned to each state. State Seats A B E OOOOD
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 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 (a) Find the standard divisor, in thousand. (b) How many people are there for each seat in congress?

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