Redo exercises 21 through 23 in section 8.2 of your textbook, about the three types of employment in a small town, using the following data:
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Redo exercises 21 through 23 in section 8.2 of your textbook, about the three types of employment in a small town, using the following data:
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- The following table shows the number of fifth and sixth grade teachers in a school district and the number of students in each of those grades. The number of teachers for each of the grade levels was determined by using the Huntington-Hill apportionment method. The district has decided to hire a new teacher for either the fifth or sixth grade. Number of Teachers Number of Students Fifth Grade 20 576 Sixth Grade 23 726 (a) Use the apportionment principle to determine to which grade the new teacher should be assigned. fifth gradesixth grade (b) Use the Huntington-Hill apportionment principle to determine to which grade the new teacher should be assigned. fifth gradesixth grade How does this result compare with the result in part (a)? same resultdifferent resultIn a small country consisting of 5 provinces, 300 federal judges are apportioned according to the population of each province. The population of each province is shown for the years 1995 and 2000. Province A B C D E 1995 Population 25,312 8,911 11,451 33,611 15,932 2000 Population 26,011 9,732 12,678 35,977 17,311 Does the population paradox occur using Hamilton's method of apportionment? YES OR NOSummarize the below passage by including the setting or environment, content or subject, lesson or activity, and the organization of students or groups. Entitled "Stock Up," this math class focuses on fraction and decimal concepts through a stock market simulation. The class features 19 gifted 6th graders from 8 schools, nine 11-year-olds, and ten 12-year-olds. All are native English speakers of high to low middle-class status and are state-identified as academically gifted. With no designated curriculum, I create and acquire my units and resources using gifted standards. I use "systems" and "relationships" concepts to teach accelerated math standards. I accommodate my students' exceptionalities through adequate challenges and higher-level thinking. Inquiry and social learning contexts are used to foster problem-solving skills, higher-order thinking, and student responsibility. Timid learners are often inhibited by low esteem and anxiety, engaged through individual work and small…
- The following table shows the number of fifth and sixth grade teachers in a school district and the number of students in each of those grades. The number of teachers for each of the grade levels was determined by using the Huntington-hill apportionment method. The district has decided to hire a new teacher for either the fifth or sixth grade.A country with two states has 75 seats in the legislature. The population of each state (in thousands) is given by: State A B Total Population 3,184 8,475 11,659 A third state is added with 2 additional seats as shown below. State A B C Total Population 3,184 8,475 330 11,989 Does the new-states paradox occur using Hamilton's method of apportionment? Yes NoA country with three states has 60 seats in the legislature. The population of each state is shown in the table. State A B C Total Population 38,874 143,034 376,092 558,000 a) Apportion the seats using Hamilton's method. b) Suppose that a fourth state with the population shown in the table is added, with five additional seats. Does the new-states paradox occur using Hamilton's method? State A B C D Total Population 38,874 143,034 376,092 48,360 606,360 a) Apportion the seats. State A B C Population 38,874 143,034 376,092 Number of Congressional Seats ? ? ? (Type whole numbers.)
- In the controversial election of 1876, Republican Rutherford B. Hayes ran against Democrat Samuel J. Tilden. Tilden won the popular vote with 4,300,590 votes, whereas Hayes received 4,036,298 votes. Rutherford B. Hayes became president according to an unconstitutional apportionment of votes. If the population of one state was 4,383,359 and the total population was 48,115,641, find the state quota if the House size was 289. Any state with a remainder above 0.438464 would be given an additional representative. Should the state have received an additional representative? The state quota was ?The Constitution of Denmark requires a supermajority in the Folketing, the Danish Parliament, for the government to cede parts of national sovereignty to the United Nations. A supermajority is achieved if at least five times of the members of the Folketing vote for the cession as those who vote against it. If the Folketing has 179 members, and each member either votes for or against this issue, how many must vote against it to prevent a supermajority?If the population of Russia is 144,000,000, and its primacy rate is 11% and Moscow is its largest metro, how many people live in Moscow if the urbanization rate is 76% Select one: O a. Can't be computed O b. Just over 109,000,000 Oc. Just over 12,000,000 O d. Just over 24,000,000
- In Question 2 on the previous homework we calculated the standard quota for the Republic of Wadiya. Recall that the Republic of Wadiya is apportioning M=200 congressional seats among four provinces. The province's populations are shown in the table below. A B C D Population 4,360,000 2,280,000 729,000 2,631,000 Find the apportionment under Jefferson's method of the Republic of Wadiya: A gets Answer seats, B gets Answer seats, C gets Answer seats, and D gets Answer.In some problems of occupancy theory we are con-cerned with the number of ways in which certain indistin-guishable objects can be distributed among individuals, urns, boxes, or cells. Find an expression for the number of ways in which r indistinguishable objects can be dis-tributed among n cells, and use it to find the number of ways in which a baker can sell five (indistinguishable)loaves of bread to three customers. (Hint: We might argue that L|LLL|L represents the case where the three cus-tomers buy one loaf, three loaves, and one loaf, respec-tively, and that LLLL||L represents the case where the three customers buy four loaves, none of the loaves, andone loaf. Thus, we must look for the number of ways in which we can arrange the five L’s and the two verti-cal bars.)A small country consists of 7 provinces with the following populations: Province A B C D E F G Population 25,312 19,734 33,407 29,591 13,288 22,751 31,992 There are 300 federal judges to be apportioned according to the population of each province. Does the Alabama paradox occur using Hamilton's method if the number of judges is increased from 300 to 301? Yes No