A Survey of Mathematics with Applications (10th Edition) - Standalone book
10th Edition
ISBN: 9780134112107
Author: Allen R. Angel, Christine D. Abbott, Dennis Runde
Publisher: PEARSON
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Textbook Question
Chapter 14.3, Problem 13E
- a. Determine each state’s modified quota using the divisor 49,300.
- b. Determine each state’s apportionment using Jefferson’s method.
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Students have asked these similar questions
In the 2010 census, the population of state A in thousands was 4,753, State B was 2,998, and State C was 4,526. Apportion 18 representative seats to these three states. Assign the seats using the Hamilton apportionment method.
The representation includes members from State A.
please help me fast....
The apportionment method that requires rounding the standard quota down to the lower quota is called
X a. Jefferson's method
b. Adams' method
c. Webster's method
d. Hamilton's method
Question 11
A group called Physicians Medical Organization provides 85 medical clinics. The organization has hired 85 doctors.
Since the clinics do not serve all the same number of patients, the organization decides to apportion the 85 doctors
based on the number of patients who visit each clinic in a given week.
Clinic
A
В
C
E
Total
Patients
350
221
205
233
250
1259
Use Hamilton's method for apportionment to determine how many doctors each clinic receives.
a. A: 24 doctors, B: 15 doctors, C: 14 doctors, D: 15 doctors, E: 17 doctors
X b. A: 23 doctors, B: 14 doctors, C: 13 doctors, D: 15 doctors, E: 16 doctors
C. A: 24 doctors, B: 14 doctors, C: 14 doctors, D: 16 doctors, E: 17 doctors
d. A: 24 doctors, B: 15 doctors, C: 14 doctors, D: 16 doctors, E: 16 doctors
Chapter 14 Solutions
A Survey of Mathematics with Applications (10th Edition) - Standalone book
Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 5ECh. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 7ECh. 14.1 - Prob. 8ECh. 14.1 - Plurality Three candidates are running for mayor...Ch. 14.1 - Prob. 10E
Ch. 14.1 - Preference Table for Potato Chips Nine voters are...Ch. 14.1 - Prob. 12ECh. 14.1 - Logo choice in Exercises 1318, employees of...Ch. 14.1 - Prob. 14ECh. 14.1 - Logo choice in Exercises 1318, employees of...Ch. 14.1 - Logo choice in Exercises 1318, employees of...Ch. 14.1 - Logo choice in Exercises 1318, employees of...Ch. 14.1 - Logo choice in Exercises 1318, employees of...Ch. 14.1 - Prob. 19ECh. 14.1 - Prob. 20ECh. 14.1 - Prob. 21ECh. 14.1 - Prob. 22ECh. 14.1 - NFL Expansion In Exercises 2326, the National...Ch. 14.1 - NFL Expansion In Exercises 2326, the National...Ch. 14.1 - NFL Expansion In Exercises 2326, the National...Ch. 14.1 - NFL Expansion In Exercises 2326, the National...Ch. 14.1 - Board of Trustees Election. In Excercises 27-31,...Ch. 14.1 - Board of Trustees Election. In Excercises 27-31,...Ch. 14.1 - Board of Trustees Election. In Excercises 27-31,...Ch. 14.1 - Board of Trustees Election. In Excercises 27-31,...Ch. 14.1 - Prob. 31ECh. 14.1 - Post Office Sites In Exercises 32-36, the 11...Ch. 14.1 - Post Office Sites In Exercises 32-36, the 11...Ch. 14.1 - Prob. 34ECh. 14.1 - Prob. 35ECh. 14.1 - Prob. 36ECh. 14.1 - Choosing a Contractor The board of directors of...Ch. 14.1 - Prob. 38ECh. 14.1 - Flowers in a Garden The flowers in a garden at a...Ch. 14.1 - Choosing a Computer The Wizards Computer Club is...Ch. 14.1 - Prob. 41ECh. 14.1 - Describe one way other than flipping a coin to...Ch. 14.1 - Prob. 43ECh. 14.1 - Prob. 44ECh. 14.1 - Prob. 45ECh. 14.1 - Prob. 46ECh. 14.1 - Prob. 47ECh. 14.1 - Prob. 48ECh. 14.1 - Constuct a preference table showing 12 votes for 3...Ch. 14.2 - In Exercises 1 8, fill in the blank with an...Ch. 14.2 - In Exercises 1 8, fill in the blank with an...Ch. 14.2 - In Exercises 1 8, fill in the blank with an...Ch. 14.2 - In Exercises 1 8, fill in the blank with an...Ch. 14.2 - In Exercises 1 8, fill in the blank with an...Ch. 14.2 - Prob. 6ECh. 14.2 - Prob. 7ECh. 14.2 - Prob. 8ECh. 14.2 - Annual Meeting Members of the board of directors...Ch. 14.2 - Prob. 10ECh. 14.2 - Restructuring a Company The board of directors at...Ch. 14.2 - Party Theme The children in Ms Cohns seventh-grade...Ch. 14.2 - Residence Hall Improvements The administration at...Ch. 14.2 - Prob. 14ECh. 14.2 - Preference for Grape Jelly Twenty-one people are...Ch. 14.2 - A Taste Test Twenty-five people are surveyed in...Ch. 14.2 - Plurality: Irrelevant Alternatives Criterion...Ch. 14.2 - Prob. 18ECh. 14.2 - Borda Count: Irrelevant Alternatives Criterion...Ch. 14.2 - Borda Count: Irrelevant Alternatives Criterion...Ch. 14.2 - Plurality with Elimination Monotonicity Criterion...Ch. 14.2 - Plurality with Elimination: Monotonicity Criterion...Ch. 14.2 - Pair Comparision Method: Monotonicity Criterion...Ch. 14.2 - Prob. 24ECh. 14.2 - Pairwise Comparison: Irrelevant Alternatives...Ch. 14.2 - Prob. 26ECh. 14.2 - Borda Count:Majority Criterion Suppose that the...Ch. 14.2 - Borda Count: Majority Criterion Suppose that the...Ch. 14.2 - Spring Trip The History Club of St. Louis is...Ch. 14.2 - Prob. 30ECh. 14.2 - Selecting a Spokesperson The campbell Soup Comapny...Ch. 14.2 - Prob. 32ECh. 14.2 - Prob. 33ECh. 14.2 - Prob. 34ECh. 14.2 - Construct a prefernce table with three candidates...Ch. 14.2 - Construct a preference table with three candidates...Ch. 14.2 - Construct a preference table with four candidates...Ch. 14.2 - Prob. 38ECh. 14.3 - The total population under consideration divided...Ch. 14.3 - When each group's population is divided by the...Ch. 14.3 - A standard quota rounded up to the nearest integer...Ch. 14.3 - A standard quota rounded down to the nearest...Ch. 14.3 - The rule stating that an apportionment should...Ch. 14.3 - Jefferson's method, Websters method, and Adams'...Ch. 14.3 - In Exercises 1-10, fill in the blank with an...Ch. 14.3 - a. The apportionment method that uses a modified...Ch. 14.3 - a. The apportionment method that uses a modified...Ch. 14.3 - Jeffersons method, Webster's method, and Adams'...Ch. 14.3 - In Exercises 11-49, when appropriate round quotas...Ch. 14.3 - Determine each state's apportionment using...Ch. 14.3 - a. Determine each states modified quota using the...Ch. 14.3 - Prob. 14ECh. 14.3 - Legislative Seats In Exercises 11-18, suppose that...Ch. 14.3 - Legislative Seats In Exercises 11-18, suppose that...Ch. 14.3 - Prob. 17ECh. 14.3 - Prob. 18ECh. 14.3 - Hotel staff In Exercises 19-26, a large hotel...Ch. 14.3 - Prob. 20ECh. 14.3 - Hotel staff In Exercises 19-26, a large hotel...Ch. 14.3 - Prob. 22ECh. 14.3 - Hotel staff In Exercises 19-26, a large hotel...Ch. 14.3 - Prob. 24ECh. 14.3 - Hotel staff In Exercises 19-26, a large hotel...Ch. 14.3 - Prob. 26ECh. 14.3 - Prob. 27ECh. 14.3 - Umbrellas In Exercises 27-30, Sandy Shores Resorts...Ch. 14.3 - Prob. 29ECh. 14.3 - Prob. 30ECh. 14.3 - Now Computers In Exercise 31-34, a university is...Ch. 14.3 - Now Computers In Exercise 31-34, a university is...Ch. 14.3 - Now Computers In Exercise 31-34, a university is...Ch. 14.3 - Now Computers In Exercise 31-34, a university is...Ch. 14.3 - Now Boats In Exercises 35-38, a boat manufacturer...Ch. 14.3 - Now Boats In Exercises 35-38, a boat manufacturer...Ch. 14.3 - Prob. 37ECh. 14.3 - Prob. 38ECh. 14.3 - New Buses In Exercises 39-42, the Transit...Ch. 14.3 - Prob. 40ECh. 14.3 - Prob. 41ECh. 14.3 - Prob. 42ECh. 14.3 - Nursing Shifts In Exercises 43-46, a hospital has...Ch. 14.3 - Prob. 44ECh. 14.3 - Nursing Shifts In Exercises 43-46, a hospital has...Ch. 14.3 - Prob. 46ECh. 14.3 - The First Census In 1970, the first United States...Ch. 14.3 - Legislative Seats Suppose that a country with a...Ch. 14.3 - Prob. 49ECh. 14.4 - In Exercises 1- 6, fill in the blank with an...Ch. 14.4 - When the addition of a new group and additional...Ch. 14.4 - When an increase in the total number of items to...Ch. 14.4 - Hamiltons and Jeffersons apportionment methods,...Ch. 14.4 - Adams and Websters apportionment methods favor...Ch. 14.4 - The apportionment method that satisfies the quota...Ch. 14.4 - In Exercises 7-18, when appropriate, round quotas...Ch. 14.4 - Prob. 8ECh. 14.4 - Legislative Seats A country with three states has...Ch. 14.4 - Prob. 10ECh. 14.4 - Apportioning Promotions ATT has 25,000 employees...Ch. 14.4 - Apportioning Trucks Anabru Manufacturing has 100...Ch. 14.4 - College Internships A college with five divisions...Ch. 14.4 - Prob. 14ECh. 14.4 - Additional Employees Cynergy Telecommunications...Ch. 14.4 - Adding a Park The town of Manlius purchased 25 new...Ch. 14.4 - Adding a State A country with two states has 33...Ch. 14.4 - Adding a State A country with two states has 66...Ch. 14 - Electing the Club President The Sailing Club of...Ch. 14 - Prob. 2RECh. 14 - Prob. 3RECh. 14 - Prob. 4RECh. 14 - Prob. 5RECh. 14 - Prob. 6RECh. 14 - Prob. 7RECh. 14 - Prob. 8RECh. 14 - In Exercises 5-10, the members of the Student...Ch. 14 - Prob. 10RECh. 14 - Prob. 11RECh. 14 - Sports Preferences In Exercises 11-16, the...Ch. 14 - Sports Preferences In Exercises 11-16, the...Ch. 14 - Sports Preferences In Exercises 11-16, the...Ch. 14 - Sports Preferences In Exercises 11-16, the...Ch. 14 - Sports Preferences In Exercises 11-16, the...Ch. 14 - Choosing a License Plate Style Park Forest...Ch. 14 - Accountants Convention The National Association of...Ch. 14 - Prob. 19RECh. 14 - Hiring a New Paralegal In Exercises 20 and 21, a...Ch. 14 - Prob. 21RECh. 14 - Plurality with Elimination Consider the following...Ch. 14 - A Taste Test In a taste test, 114 people are asked...Ch. 14 - Selecting a Band The Southwestern High School...Ch. 14 - Prob. 25RECh. 14 - Prob. 26RECh. 14 - Violating the Irrelevant Alternatives Criterion...Ch. 14 - Prob. 28RECh. 14 - Prob. 29RECh. 14 - Prob. 30RECh. 14 - Prob. 31RECh. 14 - Prob. 32RECh. 14 - Prob. 33RECh. 14 - Prob. 34RECh. 14 - Prob. 35RECh. 14 - Prob. 36RECh. 14 - Prob. 37RECh. 14 - Prob. 38RECh. 14 - Prob. 39RECh. 14 - Prob. 40RECh. 14 - Prob. 41RECh. 14 - Prob. 42RECh. 14 - Prob. 1TCh. 14 - Prob. 2TCh. 14 - Prob. 3TCh. 14 - Prob. 4TCh. 14 - Prob. 5TCh. 14 - Prob. 6TCh. 14 - Prob. 7TCh. 14 - Prob. 8TCh. 14 - Prob. 9TCh. 14 - Prob. 10TCh. 14 - Prob. 11TCh. 14 - Prob. 12TCh. 14 - Prob. 13TCh. 14 - Prob. 14TCh. 14 - Prob. 15TCh. 14 - Prob. 16TCh. 14 - Prob. 17TCh. 14 - Prob. 18TCh. 14 - Prob. 19TCh. 14 - Suppose that a fourth state with the population...
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- Please answer B)arrow_forwardApportion 10 representatives from the college town using Jefferson's Plan of Apportionment (rounding down). Use the modified divisor d=2100 to find the modified quota from North. North 8700 South 5600 East 7200 West 3500 Round your answer to 0 decimal places. Addunuarrow_forwardUse Webster's method of apportionment to solve the following problem. 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 150 State Population Standard Rounded Modified Modified Quotas Quotas Quotas Rounded Quotas A 1,895,500 1,234,500 845,200 В C 399,120 500,680 4,875,000 D E Total Standard Divisor Modified Divisorarrow_forward
- Fifty seats are to be apportioned. The population of each state is provided. State B Population 3194 9066 4548 8192 What is the standard quota (two decimal places) for State A ? O 7.14 O 63.88 6.39 O 12.78arrow_forwardPlease helparrow_forwardFind a modified divisor that will give modified quotas to produce the desired number of seats. Use rounding down for the standard quotas. 10 seats Population 1st Precinct 2st Precinct 3st Precinct 4st Precinct TOTAL 35,000 22,000 15,000 46,000 118,000arrow_forward
- Consider a fictional country with a population of 430,665 that is divided into 5 provinces, as shown in the table below. The country's constitution provides for 13 representatives to the lower house of the legislature. These representatives are allocated on the basis of province population. Use the Jefferson Apportionment Plan to find the number of representatives for each province by completing the table. Use modified standard divisor 30,000. Round values in the Quotient column to the nearest hundredth. Province Population Quotient Number of Representatives Kennebec 61,229 South Bay 38,832 North Island 94,721 Lakeland 167,386 Montbleu 68,497arrow_forwardThe Education Department will apportion a budget of P1,300,000 to six state universities based on the number of students. Use the HAMILTON's Method of apportionment and answer the following questions. A)How much is the Surplus in the problem? B.) How much is the budget apportioned to University B? C.) What university received the highest amount of the apportioned budget? D.) How Much is the lowest amount apportioned on one of the Universities?arrow_forwardUse Thomas Jefferson's method to solve the following problem. Suppose a legislature in a state has five counties and a representative body with 56 seats. The population for each of the counties are shown below. How many seats should each county get? Use the Jefferson's Method of apportionment and Excel or Google Sheets. Fill in the information below. County Population Standard Lower Modified Modified Quota Quota Quota Lower Quota County 1 County 2 County 3 County 4 County 5 Total 550,000 382,000 120,000 365,000 226,000 Find the standard divisor and modified divisor. Standard divisor = Modified divisor:arrow_forward
- In the apportionment of the House of Representatives based on the 1790 Census, there are 15 states. At that time Maine was still considered part of Massachusetts. If Maine had been a separate state, it would have shared in the distribution of the seats in the House. In the 1790 census, Maine's population was 96,643. Subtract this number from Massachusetts' population and then answer the question .State_______________ Population Connecticut_______ 237,655 Delaware______________59,096 Georgia_________________82,548 Kentucky_______________73,677 Maryland_______________319,728 Massachusetts___________475,199 New Hampshire___________141,899 New Jersey_________________184,139 New York__________________340,241 North Carolina______________395,005 Pennsylvania________________433,611 Rhode Island__________________69,112 South Carolina______________249,073 Vermont_____________________85,341 Virginia______________________747,550 TOTAL_______________________3,893,874 What are the standard quotas…arrow_forwardUse Webster's method of apportionment to solve the following problem. 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 Total Standard Divisor Modified Divisor 150 Population 1,895,500 1,234,500 845,200 399.120 500.680 4,875,000 Standard Rounded Modified Modified Quotas Quotas Rounded Quotas Quotasarrow_forwardi need the answer quicklyarrow_forward
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