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mathematics
a survey of mathematics with applications

Questions and Answers of A Survey of Mathematics with Applications

See Exercise 23. After undergoing a quality improvement program, D’Yard improves the bat quality, so that 99.9% of the bats made meet ICC safety standards. What is the probability that of the next
Determine the minimum-cost spanning trees for the given graph. 9. В C 5 D 4 E 10 F G 6. H 3. 2.
Use the graph below to answer the following questions.On the graph, is it possible to determine a circuit that begins and ends with vertex B and contains all the other vertices exactly once? If so,
How many members voted?The employees of an advertising firm are planning to have lunch delivered to a meeting. Their choices are deli sandwiches (D), pizza (P), and burgers (B). The preference table
The Sanchez family is trying to decide whether to go to Chicago (C), Nashville (N), or Ocean City (O) on their summer vacation. The two parents, five children, and two grandparents rank their three
A police department has 210 new officers to apportion among six precincts. The department plans to apportion the officers based on the number of crimes committed during the previous year in each
Determine each shift’s apportionment using Webster’s method. (Some divisors between 12 and 12.05 will work.)When appropriate round quotas to the nearest hundredth.A hospital has 200 nurses to be
Determine each shift’s apportionment using Jefferson’s method. (Divisors do not have to be whole numbers.)When appropriate round quotas to the nearest hundredth.A hospital has 200 nurses to be
The results of a swim meet between the Comets (C), Rams (R), Wildcats (W), and Tigers (T) are shown in the preference table below. Notice, for example, that in the sprint competition, the Comets (C)
Determine each shift’s apportionment using Adams’ method. (Divisors do not have to be whole numbers.)When appropriate round quotas to the nearest hundredth.A hospital has 200 nurses to be
Friskies Cat Food is looking for a new cat for the cover of their 2021 calendar. Four cats are finalists: A, B, C, and D. They are ranked first, second, third, and fourth in each of the following
a) Determine the standard divisor.b) Determine each shift’s standard quota.c) Determine each shift’s apportionment using Hamilton’s method.When appropriate round quotas to the nearest
Determine each precinct’s apportionment using Webster’s method.When appropriate round quotas to the nearest hundredth.The Police Department in Scranton, PA has 100 new segways to be apportioned
Determine each precinct’s apportionment using Adams’ method.When appropriate round quotas to the nearest hundredth.The Police Department in Scranton, PA has 100 new segways to be apportioned
Determine each precinct’s apportionment using Jefferson’s method.When appropriate round quotas to the nearest hundredth.The Police Department in Scranton, PA has 100 new segways to be apportioned
When appropriate round quotas to the nearest hundredth.The Police Department in Scranton, PA has 100 new segways to be apportioned among six precincts. The department decides to apportion the segways
Determine each dealership’s apportionment using Adams’ method. (Some divisors between 91 and 92 will work.)When appropriate round quotas to the nearest hundredth.A boat manufacturer has 120 new
Determine each dealership’s apportionment using Webster’s method. (Some divisors between 90 and 91 will work.)When appropriate round quotas to the nearest hundredth.A boat manufacturer has 120
Suppose that the table above and to the right shows the final registration for each course. If the 23 sections are reapportioned using Hamilton’s method, does the population paradox occur?Miami
When appropriate round quotas to the nearest hundredth.A boat manufacturer has 120 new boats of a new model to be apportioned to four dealerships. The manufacturer decides to apportion the boats
a) Determine the standard divisor.b) Determine each dealership’s standard quota.c) Determine each dealership’s apportionment using Hamilton’s method.When appropriate round quotas to the nearest
The IBM board of directors is selecting a contractor to build a corporate headquarters expansion. They are considering proposals from four contractors: Bishara (B), Davis (D), Chang (C), and Stewart
Determine each college’s apportionment using Webster’s method.When appropriate round quotas to the nearest hundredth.A university is made up of five colleges: Arts and Sciences, Engineering,
Determine each college’s apportionment using Jefferson’s method. (Some divisors between 51 and 52 will work.)When appropriate round quotas to the nearest hundredth.A university is made up of five
Determine each college’s apportionment using Adams’ method. (Some divisors between 52 and 53 will work.)When appropriate round quotas to the nearest hundredth.A university is made up of five
The City of Phoenix is electing a communications director. The choices for the position are Allen (A), Brady (B), Conrad (C), Davis (D), and Evers (E). The election is conducted, and the preference
When appropriate round quotas to the nearest hundredth.A university is made up of five colleges: Arts and Sciences, Engineering, Business, Education, and Visual and Performing Arts. There are 250
When appropriate round quotas to the nearest hundredth.Mountain View Resorts in Vermont plans to apportion 50 new toboggans among the four resorts based on the number of rooms in each resort as shown
The 12 members of the executive committee of the Student Senate must vote for a student representative for the college board of trustees from among three candidates: Brownstein (B), Samuels (S), and
When appropriate round quotas to the nearest hundredth.Mountain View Resorts in Vermont plans to apportion 50 new toboggans among the four resorts based on the number of rooms in each resort as shown
The 12 members of the executive committee of the Student Senate must vote for a student representative for the college board of trustees from among three candidates: Brownstein (B), Samuels (S), and
The Quilting Club of Charlotte is voting on which city to visit for its spring trip. The choices are Charleston (C), Savannah (S), Philadelphia (P), and Boston (B). The preference table for the 23
When appropriate round quotas to the nearest hundredth.Mountain View Resorts in Vermont plans to apportion 50 new toboggans among the four resorts based on the number of rooms in each resort as shown
The 12 members of the executive committee of the Student Senate must vote for a student representative for the college board of trustees from among three candidates: Brownstein (B), Samuels (S), and
When appropriate round quotas to the nearest hundredth.Mountain View Resorts in Vermont plans to apportion 50 new toboggans among the four resorts based on the number of rooms in each resort as
The National Football League (NFL) is considering four cities for expansion: San Antonio (S), Portland (P), Honolulu (H), and Toronto (T). The 32 current owners rank the four candidates according to
The National Football League (NFL) is considering four cities for expansion: San Antonio (S), Portland (P), Honolulu (H), and Toronto (T). The 32 current owners rank the four candidates according to
The Southwestern High School Class of 1986 is organizing its 35-year class reunion and is trying to pick out a band to play at the reunion. The choices are REO Speedwagon (R), Boston (B), Journey
The National Football League (NFL) is considering four cities for expansion: San Antonio (S), Portland (P), Honolulu (H), and Toronto (T). The 32 current owners rank the four candidates according to
The National Football League (NFL) is considering four cities for expansion: San Antonio (S), Portland (P), Honolulu (H), and Toronto (T). The 32 current owners rank the four candidates according to
The Sanchez family is trying to decide whether to go to Chicago (C), Nashville (N), or Ocean City (O) on their summer vacation. The two parents, five children, and two grandparents rank their three
Suppose that the plurality with elimination method is used on the following preference table. If the four voters who voted A, C, B, in that order, change their vote to C, A, B, is the monotonicity
The Sanchez family is trying to decide whether to go to Chicago (C), Nashville (N), or Ocean City (O) on their summer vacation. The two parents, five children, and two grandparents rank their three
When appropriate round quotas to the nearest hundredth.A hotel chain in Hawaii needs to apportion 25 new surfboards for its visitors to rent among three hotels based on the numbers of rooms in each
The Sanchez family is trying to decide whether to go to Chicago (C), Nashville (N), or Ocean City (O) on their summer vacation. The two parents, five children, and two grandparents rank their three
When appropriate round quotas to the nearest hundredth.Suppose that Turtlestan is a small country with a population of 7,500,000 that consists of four states, A, B, C, and D. There are 150 seats in
Members of a music club are choosing a new club logo. The choices are a guitar (G), a keyboard (K), and a musical note (N). Each member ranks the three choices from first to third. The preference
A country with three states has 60 seats in the legislature. The population of each state is shown in the table below.a) Apportion the seats using Hamilton’s method.b) Suppose that a fourth state
A country with two states has 33 seats in the legislature. The population of each state is shown in the table below.a) Apportion the states using Hamilton’s method.b) Suppose that a third state
When appropriate round quotas to the nearest hundredth.Suppose that Turtlestan is a small country with a population of 7,500,000 that consists of four states, A, B, C, and D. There are 150 seats in
Members of a music club are choosing a new club logo. The choices are a guitar (G), a keyboard (K), and a musical note (N). Each member ranks the three choices from first to third. The preference
When appropriate round quotas to the nearest hundredth.Suppose that Turtlestan is a small country with a population of 7,500,000 that consists of four states, A, B, C, and D. There are 150 seats in
Members of a music club are choosing a new club logo. The choices are a guitar (G), a keyboard (K), and a musical note (N). Each member ranks the three choices from first to third. The preference
Cynergy Telecommunications has employees in Europe, labeled A, and in the United States, labeled B. The number of employees in each group is shown in the table below. There are 48 managers to be
When appropriate round quotas to the nearest hundredth.Suppose that Turtlestan is a small country with a population of 7,500,000 that consists of four states, A, B, C, and D. There are 150 seats in
Determine the winner using the pairwise comparison method.The employees at Delphi Engineering must decide whether to play baseball (B), soccer (S), or volleyball (V) at their year-end picnic. The
Members of a music club are choosing a new club logo. The choices are a guitar (G), a keyboard (K), and a musical note (N). Each member ranks the three choices from first to third. The preference
When appropriate round quotas to the nearest hundredth.Suppose that Turtlestan is a small country with a population of 7,500,000 that consists of four states, A, B, C, and D. There are 150 seats in
Determine the winner using the plurality with elimination method.The employees at Delphi Engineering must decide whether to play baseball (B), soccer (S), or volleyball (V) at their year-end picnic.
Members of a music club are choosing a new club logo. The choices are a guitar (G), a keyboard (K), and a musical note (N). Each member ranks the three choices from first to third. The preference
A college with five divisions has funds for 54 3-D printers. The student population for each division is shown in the table below.a) Apportion the printers using Hamilton’s method.b) Suppose that 1
When appropriate round quotas to the nearest hundredth.Suppose that Turtlestan is a small country with a population of 7,500,000 that consists of four states, A, B, C, and D. There are 150 seats in
Determine the winner using the Borda count method.The employees at Delphi Engineering must decide whether to play baseball (B), soccer (S), or volleyball (V) at their year-end picnic. The preference
Members of a music club are choosing a new club logo. The choices are a guitar (G), a keyboard (K), and a musical note (N). Each member ranks the three choices from first to third. The preference
Anabru Manufacturing has 100 forklifts to apportion among three factories. The forklifts are to be apportioned based on the number of employees at each factory as shown in the table belowa) Apportion
When appropriate round quotas to the nearest hundredth.Suppose that Turtlestan is a small country with a population of 7,500,000 that consists of four states, A, B, C, and D. There are 150 seats in
Determine the winner using the plurality method.The employees at Delphi Engineering must decide whether to play baseball (B), soccer (S), or volleyball (V) at their year-end picnic. The preference
Spectrum has 30,000 employees in three cities as shown in the table below. It wishes to give promotions to 200 employees.a) Apportion the promotions using Hamilton’s method.b) Suppose that in 10
The board of directors at The Limited is considering three different administrative restructuring plans, A, B, and C. The 11 members of the board of directors rank the plans according to the
When appropriate round quotas to the nearest hundredth.Suppose that Turtlestan is a small country with a population of 7,500,000 that consists of four states, A, B, C, and D. There are 150 seats in
Nine survey respondents are asked to rank three brands of ice cream: Ben & Jerry’s (B), Haagen-Dazs (H), and Dairy Queen (D). The nine survey respondents turn in the following ballots showing
Texas Tech University is hiring a new director of counseling. The hiring committee ranks the four candidates, Alvarez (A), Brown (B), Singleton (S), and Yu (Y), according to the preference table
Fill in the blank with an appropriate word, phrase, or symbol(s).Jefferson’s method, Webster’s method, and Adams’ method all make use of a modified quota and can all lead to violations of the
Members of the board of directors of the American Nursing Association are voting to select a city to host the association’s annual meeting. The board is considering the following cities: Portland
Fill in the blank with an appropriate word, phrase, or symbol(s).a) The apportionment method that uses a modified quota that is always rounded to the nearest integer is _________ method.b) The
A large company with offices in four cities must distribute 148 new color printers to the four offices. The printers will be apportioned based on the number of employees in each office as shown in
Fill in the blank with an appropriate word, phrase, or symbol(s).A voting method that always satisfies the majority criterion and the monotonicity criterion, but may not satisfy any other criterion,
Fill in the blank with an appropriate word, phrase, or symbol(s).a) The apportionment method that uses a modified divisor that is less than the standard divisor is _________ method.b) The
Fill in the blank with an appropriate word, phrase, or symbol(s).The voting method that may involve a series of elections until a candidate receives a majority of the votes is called the _______ with
Fill in the blank with an appropriate word, phrase, or symbol(s).A voting method that always satisfies the majority criterion but may not satisfy any other criterion is the _________ method.
Fill in the blank with an appropriate word, phrase, or symbol(s).The apportionment method that requires rounding the standard quota down to the lower quota is called _________ method.
Fill in the blank with an appropriate word, phrase, or symbol(s).The voting method in which each candidate is compared with each of the other candidates is called the pairwise _______ method.
Fill in the blank with an appropriate word, phrase, or symbol(s).The apportionment method that satisfies the quota rule but may produce a paradox is called ________ method.
Fill in the blank with an appropriate word, phrase, or symbol(s).A voting method that always satisfies the majority criterion and head-to head criterion, but may not satisfy any other criterion, is
Determine the winner using the pairwise comparison method.The employees of an advertising firm are planning to have lunch delivered to a meeting. Their choices are deli sandwiches (D), pizza (P), and
Fill in the blank with an appropriate word, phrase, or symbol(s).Jefferson’s method, Webster’s method, and Adams’ method require using a(n) _________ quota.
Fill in the blank with an appropriate word, phrase, or symbol(s).In the Borda _______ voting method, the candidates are ranked from most favored to least favored.
Fill in the blank with an appropriate word, phrase, or symbol(s).Adams’ and Webster’s apportionment methods favor ________ states.
Fill in the blank with an appropriate word, phrase, or symbol(s).A voting method that may not satisfy any of the fairness criteria is the _________ method.
Determine the winner using the plurality with elimination method.The employees of an advertising firm are planning to have lunch delivered to a meeting. Their choices are deli sandwiches (D), pizza
Fill in the blank with an appropriate word, phrase, or symbol(s).The rule stating that an apportionment should always be either the upper quota or the lower quota is called the _________ rule.
Determine the winner using the Borda count method.The employees of an advertising firm are planning to have lunch delivered to a meeting. Their choices are deli sandwiches (D), pizza (P), and burgers
Fill in the blank with an appropriate word, phrase, or symbol(s).A standard quota rounded down to the nearest integer is called a(n) _________ quota.
Fill in the blank with an appropriate word, phrase, or symbol(s).When there are four candidates, the number of comparisons needed with the pairwise comparison method is _______.
Determine the winner using the plurality method.The employees of an advertising firm are planning to have lunch delivered to a meeting. Their choices are deli sandwiches (D), pizza (P), and burgers
Fill in the blank with an appropriate word, phrase, or symbol(s).A standard quota rounded up to the nearest integer is called a(n) _________ quota.
Fill in the blank with an appropriate word, phrase, or symbol(s).When the addition of a new group and additional items to be apportioned reduces the prior apportionment of another group, the ________
Fill in the blank with an appropriate word, phrase, or symbol(s).A candidate who wins a first election, then gains additional support without losing any of the original support, should also win a
Does any choice have a majority of votes?The employees of an advertising firm are planning to have lunch delivered to a meeting. Their choices are deli sandwiches (D), pizza (P), and burgers (B). The
Fill in the blank with an appropriate word, phrase, or symbol(s).When each group’s population is divided by the standard divisor, a standard _________ is obtained.

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