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mathematics
survey of mathematics

Questions and Answers of Survey of Mathematics

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
(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 route’s apportionment using Webster’s method.When appropriate round quotas to the nearest hundredth.The Transit Department in the city of Houston has 100 new buses to be
Determine each route’s apportionment using Adams’ method.When appropriate round quotas to the nearest hundredth.The Transit Department in the city of Houston has 100 new buses to be apportioned
Consider the preference table below. Assume that a majority is needed to win the election. Since no candidate has a majority but C has the most first-place votes, a runoff election is held between A
Determine each resort’s apportionment using Jefferson’s method. (Some divisors between 11 and 12 will work.)When appropriate round quotas to the nearest hundredth.Sandy Shores Resorts operates
(a) Determine the standard divisor. (b) Determine each hotel’s standard quota.When appropriate round quotas to the nearest hundredth.A large hotel chain needs to apportion 25 new staff members
(a) Determine each state’s modified quota using the divisor 49,900. (b) Determine each state’s apportionment using Webster’s method.When appropriate round quotas to the nearest hundredth.
A country with three states has 66 seats in the legislature. The population of each state is shown in the table at the top of the right column.(a) Apportion the seats using Hamilton’s
Determine each state’s apportionment using Webster’s method using the standard divisor.When appropriate round quotas to the nearest hundredth. Suppose that Turtlestan is a small country with a
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
Determine the winner if the plurality with elimination method is used and the candidate with the most last-place votes is eliminated at each step.The employees at Delphi Engineering must decide
(a) Determine each state’s modified quota using the divisor 50,600. (b) Determine each state’s apportionment using Adams’ method.When appropriate round quotas to the nearest
The town of Manlius purchased 25 new picnic tables to be apportioned between two parks. The picnic tables are to be apportioned based on the annual number of visitors to each park as shown below.(a)
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
(a) Determine each state’s modified quota using the divisor 50,600. (b) Determine each state’s apportionment using Adams’ method.When appropriate round quotas to the nearest
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
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.
(a) Determine each state’s modified quota using the divisor 49,250. (b) Determine each state’s apportionment using Jefferson’s method.When appropriate round quotas to the nearest
A country with three states has 250 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 in 10
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
(a) Determine each state’s modified quota using the divisor 49,300. (b) Determine each state’s apportionment using Jefferson’s method.When appropriate round quotas to the nearest
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
Determine each state’s apportionment using Hamilton’s method.When appropriate round quotas to the nearest hundredth.Suppose that Turtlestan is a small country with a population of 8,000,000 that
How many employees voted?The employees at Delphi Engineering must decide whether to play baseball (B), soccer (S), or volleyball (V) at their year-end picnic. The preference table follows. Number of
(a) Determine the standard divisor. (b) Determine each state’s standard quota.When appropriate round quotas to the nearest hundredth.Suppose that Turtlestan is a small country with a
Which restaurant is chosen if the plurality with elimination method is used and the restaurant with the most last-place votes is eliminated at each step?The members of the Student Council at Ohio
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
Using the pairwise comparison method, which restaurant is chosen?The members of the Student Council at Ohio State University are planning to go out to dinner following an upcoming meeting. The
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
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,
Using the plurality with elimination method, which restaurant is chosen?The members of the Student Council at Ohio State University are planning to go out to dinner following an upcoming meeting. The
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).A voting method that always satisfies the majority criterion but may not satisfy any other criterion is the ____________ method.
Using the Borda count method, which restaurant is chosen?The members of the Student Council at Ohio State University are planning to go out to dinner following an upcoming meeting. The restaurant
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).A voting method that always satisfies the majority criterion and head-to-head criterion, but may not satisfy any other criterion, is
Using the plurality method, which restaurant is chosen?The members of the Student Council at Ohio State University are planning to go out to dinner following an upcoming meeting. The restaurant
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).A voting method that may not satisfy any of the fairness criteria is the ____________ method.
How many members voted?The members of the Student Council at Ohio State University are planning to go out to dinner following an upcoming meeting. The restaurant choices are Chipotle Mexican Grill
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.
Fill in the blank with an appropriate word, phrase, or symbol(s).If a candidate is the winner of an election and in a second election one or more of the other candidates is removed, the previous
Seven voters are asked to rank three candidates. The seven voters turn in the following ballots showing their preferences in order:Make a preference table for these ballots. C A C A B А А С в
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).If a candidate is favored when compared head-to-head with every other candidate in an election, that candidate should be declared the
Ten voters are asked to rank four candidates. The 10 voters turn in the following ballots showing their preferences in order:Make a preference table for these ballots. A D B A C с сА с в в с D
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).A candidate who wins a first election, then gains additional support without losing any of the original support, should also win a
Suffolk County Community College is holding an election to appoint a chairperson of the board of trustees. The 413 faculty members vote as follows: Michelle, 231 votes; Jeffrey, 155 votes; and
A college with five divisions has funds for 54 internships. The student population for each division is shown in the table below.(a) Apportion the internships using Hamilton’s method. (b)
Anabru Manufacturing has 100 forklift trucks to apportion among 3 factories. The trucks are to be apportioned based on the number of employees at each factory as shown in the table below (a)
AT&T has 25,000 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
A country with three states has 200 seats in the legislature. The population of each state is shown in the table below. (a) Apportion the seats using Hamilton’s method. (b) Does the
A television game show has five doors, of which the contestant must pick two. Behind two of the doors are expensive cars, and behind the other three doors are consolation prizes. The contestant gets
A country with three states has 30 seats in the legislature. The population of each state is shown in the table below.(a) Apportion the seats using Hamilton’s method. (b) Does the Alabama
A large company with offices in four cities must distribute 144 new ergonomic chairs to the four offices. The chairs will be apportioned based on the number of employees in each office as shown in
Consider the apportionment of 60 doctors for First Physicians Organization. The apportionment using Hamilton’s method is shown in the table below.Does the Alabama paradox occur using Hamilton’s
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).Adams’and Webster’s apportionment methods favor ___________ states.
Fill in the blank with an appropriate word, phrase, or symbol(s).Hamilton’s and Jefferson’s apportionment methods, favor ____________ states.
Fill in the blank with an appropriate word, phrase, or symbol(s).When an increase in the total number of items to be apportioned results in a loss of an item for a group, the _________ paradox occurs.
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).When group A loses an item or items to group B even though group A’s population grew at a faster rate than group B’s, the
Fill in the blanks with an appropriate word, phrase, or symbol(s).A path that passes through each edge of a graph exactly one time is called a(n) ___________ path.
Consider the following graph, which shows the U.S. population in 2000 and the projected U.S. population in 2050.(a) Compute the projected percent increase in population from 2000 to 2050 by using the
On a die, the sum of the dots on the opposite faces is seven. Two six-sided dice are placed together on top of one another, on a table, as shown in the figure below. The top and bottom faces of the
A full house in poker consists of three of one kind and two of another kind in a five-card hand. For example, if a hand contains three kings and two 5’s, it is a full house. If 5 cards are dealt at
Of 26 employees at Wegmans supermarket, 15 work as cashiers and 11 stock shelves. If 3 of the 26 employees are selected at random to work overtime, determine the probability that all 3 are cashiers.
General Mills is testing 12 new cereals for possible production. They are testing 3 oat cereals, 4 wheat cereals, and 5 rice cereals. If each of the 12 cereals has the same chance of being produced,
General Mills is testing 12 new cereals for possible production. They are testing 3 oat cereals, 4 wheat cereals, and 5 rice cereals. If each of the 12 cereals has the same chance of being produced,
General Mills is testing 12 new cereals for possible production. They are testing 3 oat cereals, 4 wheat cereals, and 5 rice cereals. If each of the 12 cereals has the same chance of being produced,
A car rental agency has 10 midsized and 15 compact cars on its lot, from which 6 will be selected. Assuming that each car is equally likely to be selected and the cars are selected at random,
A car rental agency has 10 midsized and 15 compact cars on its lot, from which 6 will be selected. Assuming that each car is equally likely to be selected and the cars are selected at random,
A car rental agency has 10 midsized and 15 compact cars on its lot, from which 6 will be selected. Assuming that each car is equally likely to be selected and the cars are selected at random,
Assume that a particular professional baseball team has 10 pitchers, 6 infielders, and 9 other players. If 3 players’ names are selected at random from the team’s roster, determine the
Assume that a particular professional baseball team has 10 pitchers, 6 infielders, and 9 other players. If 3 players’ names are selected at random from the team’s roster, determine the
Assume that a particular professional baseball team has 10 pitchers, 6 infielders, and 9 other players. If 3 players’ names are selected at random from the team’s roster, determine the
Assume that a particular professional baseball team has 10 pitchers, 6 infielders, and 9 other players. If 3 players’ names are selected at random from the team’s roster, determine the
A television game show has five doors, of which the contestant must pick two. Behind two of the doors are expensive cars, and behind the other three doors are consolation prizes. The contestant gets
A television game show has five doors, of which the contestant must pick two. Behind two of the doors are expensive cars, and behind the other three doors are consolation prizes. The contestant gets
You are dealt 5 cards from a standard deck of 52 cards. Determine the probability that you are dealt 5 red cards.The problems are to be done without re-placement. Use combinations to determine
You are dealt 5 cards from a standard deck of 52 cards. Determine the probability you are dealt 3 kings and 2 queens.The problems are to be done without re-placement. Use combinations to determine
A bicycle club has 10 members. Six members ride Diamondback bicycles, 2 members ride Fuji bicycles, and 2 members ride Schwinn bicycles. If 4 of the members are selected at random, determine the
The sales department at Atwell Studios consists of three people, the manufacturing department consists of six people, and the accounting department consists of two people. Three people will be
Barnes & Noble has 20 different books listed on its clearance list. Twelve books are listed as mystery, and 8 are listed as fantasy. If 4 books are selected at random from the list, determine the
Each of the digits 0–9 is written on a slip of paper, and the slips are placed in a hat. If three slips of paper are selected at random, determine the probability that the three numbers selected
Duc’s wallet contains 8 bills of the following denominations: four $5 bills, two $10 bills, one $20 bill, and one $50 bill. If Duc selects two bills at random, determine the probability that he
A doctor has five doses of flu vaccine left. He has six women and eight men who want the medication. If the names of five of these people are selected at random, determine the probability that five
A bag contains four red balls and five green balls. You plan to select three balls at random. Determine the probability of selecting three green balls.The problems are to be done without
A refrigerator contains 3 cans of diet soda and 10 cans of regular soda. If two cans of soda are to be selected at random from the refrigerator, determine the probability that both cans selected are
Three letters are to be selected at random from the English alphabet of 26 letters. Determine the probability that 3 vowels out of the 5 vowels (a, e, i, o, u) are selected.Set up the problem as if
Determine the probability of being dealt 3 kings from a standard deck of 52 cards when 3 cards are dealt.Set up the problem as if it were to be solved, but do not solve. Assume that each problem is
A class consists of 18 males and 12 females. If 8 of the students are to be selected at random, determine the prob-ability that they are all females.Set up the problem as if it were to be solved, but
Twelve red chips and 8 blue chips are in a bag. If four chips from the bag are to be selected at random, determine the probability of selecting four red chips.Set up the problem as if it were to be
Change the number to a percent. Round your answer to the nearest tenth of a percent.3/20
Write the Egyptian numeral as a Hindu–Arabic numeral. AA9999ni
Write the numeral as a traditional Chinese numeral.4260
Assume the numerals given are in a base 4 numeration system. In this system, suppose colors are used as numerals, as indicated below.Add the following base 4 numerals. Your answers will contain a

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