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mathematics
survey of mathematics

Questions and Answers of Survey of Mathematics

(a) Determine each hotel’s modified quota using the divisor 29. (b) Determine each hotel’s apportionment using Adams’ method.When appropriate round quotas to the nearest hundredth.A large
(a) Determine each hotel’s modified quota using the divisor 25.7. (b) Determine each hotel’s apportionment using Jefferson’s method.When appropriate round quotas to the nearest hundredth.A
(a) Determine each hotel’s modified quota using the divisor 25.8.(b) Determine each hotel’s apportionment using Jefferson’s method.When appropriate round quotas to the nearest hundredth.A large
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
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 Webster’s method.When appropriate round quotas to the nearest hundredth.A university is made up of five colleges: Liberal Arts, Sciences, Engineering,
Billy Joel has appeared in concert at Madison Square Garden more than Elton John. Therefore, Billy Joel must be more popular than Elton John.Discuss the statement and tell what possible misuses or
The following table shows the average price of a movie ticket in the United States for the years 2009–2013.Year . . . . . . . . . Average Ticket Price2009 . . . . . . . . . . . $7.502010 . . . . .
The following table shows the number of international visitors to the United States, in millions, for the years 2009–2012.Year . . . . . . . . . . . . . . . Number of Visitors (millions)2009
(a) Draw a bar graph that appears to show a small increase in the median age at first marriage for males.(b) Draw a bar graph that appears to show a large increase in the median age at first marriage
(a) Draw a bar graph that appears to show a small increase in the median age at first marriage for females.(b) Draw a bar graph that appears to show a large increase in the median age at first
The following graph shows the percent of U.S. homes with a smart television for the years 2013 and 2014.Percent of U.S. Homes with a Smart TelevisionDraw a bar graph that shows the entire scale from
The following circle graph shows the percentage of commuters who are frustrated by particular driving situations. Is the graph misleading? Explain.Driving Situations Frustrating to Commuters. Low
Some subscribers of Consumer Reports respond to an annual questionnaire regarding their satisfaction with new appliances, cars, and other items. The information obtained from these questionnaires is
The average depth of the pond is only 3 ft, so it is safe to go wading.
More men than women are involved in automobile accidents. Therefore, women are better drivers.
John Deere lawn tractors cost more than Toro lawn tractors. Therefore, John Deere lawn tractors will last longer than Toro lawn tractors.Discuss the statement and tell what possible misuses or
A steak is more expensive at Dino’s Steak House than at Rick’s Prime Rib House. Therefore, the quality of a steak at Dino’s Steak House is better than the quality of a steak at Rick’s Prime
Thirty students said that they would recommend Professor Fogal to a friend. Twenty students said that they would recommend Professor Bond to a friend. Therefore, Professor Fogal is a better teacher
Arizona has the highest death rate for asthma in the United States. Therefore, it is unsafe to go to Arizona if you have asthma.Discuss the statement and tell what possible misuses or
Eighty percent of all automobile accidents occur within 10 miles of the driver’s home. Therefore, it is safer to take long trips.Discuss the statement and tell what possible misuses or
Morgan’s is the largest department store in New York. So shop at Morgan’s and save money.Discuss the statement and tell what possible misuses or misinterpretations may exist.
Seventy-five percent of all dentists recommend Shiny Smile toothpaste. Therefore, this toothpaste is better than all other types of toothpaste.Discuss the statement and tell what possible misuses or
Healthy Snacks cookies are fat free. So eat as many as you like and you will not gain weight.Discuss the statement and tell what possible misuses or misinterpretations may exist.
At Central High School, half the students are below aver-age in mathematics. Therefore, the school should receive more federal aid to raise student scores.Discuss the statement and tell what possible
There are more empty spaces in the parking lot of Mama Mia’s Italian restaurant than at Shanghai Chinese restau-rant. Therefore, more people prefer Chinese food than Italian food.Discuss the
In a study of patients with cold symptoms, each patient was found to have improved symptoms after taking honey. Therefore, honey cures the common cold.Discuss the statement and tell what possible
The Student Senate at the University of North Carolina is electing a new president. The first 25 people leaving the library are asked for whom they will vote.Identify the sampling technique used to
Bingo balls in a bin are shaken, and then balls are selected from the bin.Identify the sampling technique used to obtain a sample.
The Food and Drug Administration randomly selects five stores from each of four randomly selected sections of a large city and checks food items for freshness. These stores are used as a
The first 30 adults leaving a theater are asked how much money they spend per week on entertainment.Identify the sampling technique used to obtain a sample.
The businesses in Virginia City, Nevada, are grouped according to type: medical, service, retail, manufacturing, financial, construction, restaurant, hotel, tourism, and other. A random sample of 10
Every 20th person in line to buy tickets to a concert is asked his or her age.Identify the sampling technique used to obtain a sample.
A door prize is given away at a home improvement seminar. Tickets are placed in a bin, and the tickets are mixed up. Then a ticket is selected by a blindfolded person.Identify the sampling technique
A state is divided into counties. A random sample of 12 counties is selected. A random sample from each of the 12 selected counties is selected.Identify the sampling technique used to obtain a sample.
Every 10th Samsung television coming off an assembly line is checked for defects.Identify the sampling technique used to obtain a sample.
Viewers of the CBS network are classified according to age. A random sample of viewers from each age group is selected.Identify the sampling technique used to obtain a sample.
Fill in the blank with an appropriate word, phrase, or symbol(s).A sample that uses data that are easily or readily obtained is called a(n) ___________ sample.
Fill in the blank with an appropriate word, phrase, or symbol(s).When a population is divided into parts, called strata, for the purpose of drawing a sample, the procedure is known as ____________
Suppose that a fourth state with the population shown in the table below is added, with five additional seats for a total of 35 seats. Does the new-states paradox occur using Hamilton’s method?A
Suppose that in 10 years the states have the following population and 30 seats are apportioned. If the seats are reapportioned, does the population paradox occur using Hamilton’s method?A country
If the number of seats in the legislature increases to 31, does the Alabama paradox occur using Hamilton’s method?A country has three states and 30 seats in the legislature. The population of each
Determine each state’s apportionment using Webster’s method.A country has three states and 30 seats in the legislature. The population of each state is shown below. State A Total 6933 16,534 9533
Determine each state’s apportionment using Adams’ method.A country has three states and 30 seats in the legislature. The population of each state is shown below. State A Total 6933 16,534 9533
Determine each state’s apportionment using Jefferson’s method.A country has three states and 30 seats in the legislature. The population of each state is shown below. State A Total 6933 16,534
Determine each state’s apportionment using Hamilton’s method.A country has three states and 30 seats in the legislature. The population of each state is shown below. State A Total 6933 16,534
The park rangers in Yosemite National Park are holding a contest to choose a new logo design. The four logo choices for their stationery are El Capitan (E), a sequoia tree (S), a mule deer (M), and a
Which voting method(s)—plurality, Borda count, plurality with elimination, or pairwise comparison—violate the head-to-head criterion using the following election data? Number of Votes First 28 28
Which animal wins this election if the pairwise comparison method is used?The children of Happy Faces Preschool are voting on their favorite classroom animal. The choices are hamster (H), iguana (I),
Which animal wins this election if the plurality with elimination method is used?The children of Happy Faces Preschool are voting on their favorite classroom animal. The choices are hamster (H),
Which animal wins this election if the Borda count method is used?The children of Happy Faces Preschool are voting on their favorite classroom animal. The choices are hamster (H), iguana (I), lemming
Which animal wins this election if the plurality method is used?The children of Happy Faces Preschool are voting on their favorite classroom animal. The choices are hamster (H), iguana (I), lemming
How many children voted?The children of Happy Faces Preschool are voting on their favorite classroom animal. The choices are hamster (H), iguana (I), lemming (L), and salamander (S). The results of
Determine the winner using the pairwise comparison method.The employees of an accounting firm are planning to have lunch delivered to a meeting. Their choices are deli sandwiches (D), pizza (P), and
Determine the winner using the plurality with elimination method.The employees of an accounting firm are planning to have lunch delivered to a meeting. Their choices are deli sandwiches (D), pizza
Determine the winner using the Borda count method.The employees of an accounting firm are planning to have lunch delivered to a meeting. Their choices are deli sandwiches (D), pizza (P), and burgers
Determine the winner using the plurality method.The employees of an accounting firm are planning to have lunch delivered to a meeting. Their choices are deli sandwiches (D), pizza (P), and burgers
Does any choice have a majority of votes?The employees of an accounting firm are planning to have lunch delivered to a meeting. Their choices are deli sandwiches (D), pizza (P), and burgers (B). The
How many members voted?The employees of an accounting firm are planning to have lunch delivered to a meeting. Their choices are deli sandwiches (D), pizza (P), and burgers (B). The preference table
Suppose that a third state, C, with the population shown in the table below, is added along with five new seats. Does the new-states paradox occur using Hamilton’s method?A country has two states,
Determine each state’s apportionment using Webster’s method.A country has two states, A and B, and 50 seats in the legislature. The population of each state is shown in the table below.
Determine each state’s apportionment using Adams’ method.A country has two states, A and B, and 50 seats in the legislature. The population of each state is shown in the table below. Total
Determine each state’s apportionment using Jefferson’s method. A country has two states, A and B, and 50 seats in the legislature. The population of each state is shown in the table
Determine each state’s apportionment using Hamilton’s method.A country has two states, A and B, and 50 seats in the legislature. The population of each state is shown in the table below.
Suppose that the following table shows the final registration for each course. If the 23 sections are reapportioned using Hamilton’s method, does the population paradox occur?Miami Dade College
Determine the apportionment for each course using Webster’s method.Miami Dade College plans to offer 23 sections of three different biology courses: Anatomy and Physiology (A), Introduction to
Determine the apportionment for each course using Adams’method.Miami Dade College plans to offer 23 sections of three different biology courses: Anatomy and Physiology (A), Introduction to Biology
Determine the apportionment for each course using Jeffer-son’s method.Miami Dade College plans to offer 23 sections of three different biology courses: Anatomy and Physiology (A), Introduction to
Determine the apportionment for each course using Hamilton’s method.Miami Dade College plans to offer 23 sections of three different biology courses: Anatomy and Physiology (A), Introduction to
Suppose that the post office purchases one additional truck. Using Hamilton’s method, does the Alabama paradox occur if the number of trucks is increased from 10 to 11?A post office in the city of
Determine each region’s apportionment using Webster’s method.A post office in the city of Riverside has three regions in which to distribute the mail and 10 new mail trucks. The trucks are to be
Determine each region’s apportionment using Adams’ method.A post office in the city of Riverside has three regions in which to distribute the mail and 10 new mail trucks. The trucks are to be
Determine each region’s apportionment using Jefferson’s method.A post office in the city of Riverside has three regions in which to distribute the mail and 10 new mail trucks. The trucks are to
Determine each region’s apportionment using Hamilton’s method.A post office in the city of Riverside has three regions in which to distribute the mail and 10 new mail trucks. The trucks are to be
Using the following table, determine which voting method(s) violates the irrelevant alternatives criterion. Assume that candidate D drops out prior to the conclusion of the election. Number of Votes
Using the following tables, determine which voting method(s) violate the monotonicity criterion.First ElectionSecond Election Number of Votes First Second 28 24 20 10 A B A B A Third B A B Number of
Which voting method(s) violate the majority criterion in the following election data? Number of Votes First Second 36 20 D B B Third D A D A Fourth D A
The Southwestern High School Class of 1982 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
In a taste test, 114 people are asked to taste and rank four different brands of spaghetti sauce. The choices are Ragu (R), Prego (P), Newman’s Own (N), and Barilla (B). The preference table is
Consider the following preference table.(a) Who wins the election if the plurality with elimination method is used? (b) Assume that in a second election the eight voters who voted for B, C, A,
Is the head-to-head criterion satisfied?A law firm is hiring one new paralegal from among four candidates, A, B, C, and D. The search committee decides to use the Borda count method to determine the
Is the majority criterion satisfied?A law firm is hiring one new paralegal from among four candidates, A, B, C, and D. The search committee decides to use the Borda count method to determine the
Park Street Library is planning to in-vest in a set of children’s DVDs for the library, but the staff members differ regarding which set to buy. To settle the debate, the 16 staff members decide to
The National Association of Accountants held an election among its delegates to decide on the 2018 conference site. The 200 delegates ranked their choices among Chicago (C), Seattle (S), Dallas (D),
Park Forest retirement community in Tennessee is purchasing a van to be used by the residents. The 372 residents are unable to agree on a style of license plate for the van and decide to hold an
Explain why the plurality method always satisfies the monotonicity criterion.
The City of Detroit 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
The Campbell Soup Company is selecting a new spokesperson for its advertisements. The choices are Jennifer Lawrence (L), Bradley Cooper (C), and LeBron James (J). At the annual meeting of its
The Motley Crew Investing Club wishes to purchase stock in a pharmaceutical company. The choices are American Pharmacy (A), Burrows-Welcome (B), Chicago Labs (C), Dow Chemical (D), and Emerging
The History Club of St. Louis is voting on which city to visit for its spring trip. The choices are New York City (N), Washington, D.C. (W), Philadelphia (P), and Boston (B). The preference table for
Suppose that the Borda count method is used on the following preference table. Is the majority criterion satisfied? Number of Votes First 4 5 B A Second A A Third A B B
Suppose that the Borda count method is used on the following preference table. Is the majority criterion satisfied? Number of Votes First Second A B B B Third A A
Suppose that the pairwise comparison method is used on the following preference table. If A, B, and E drop out, is the irrelevant alternatives criterion satisfied? Explain. Number of Votes First D A
Suppose that the pairwise comparison method is used on the following preference table. If A, C, and E drop out, is the irrelevant alternatives criterion satisfied? Explain. Number of Votes First B B
Suppose that the Borda count method is used on the following preference table. If the five voters who voted D, A, C, B, in that order, change their votes to A, B, D, C and the three voters who voted
Suppose that the pairwise comparison method is used on the following preference table. If the five voters who voted C, D, A, B, in that order, change their votes to D, B, C, A, is the monotonicity
Suppose that the plurality with elimination method is used on the following preference table. If the three voters who voted C, B, A, in that order, change their vote to B, C, A, is the monotonicity
Suppose that the plurality with elimination method is used on the following preference table. If the three voters who voted A, C, B, in that order, change their vote to C, A, B, is the monotonicity
Suppose that the Borda count method is used on the following preference table. If B drops out, is the irrelevant alternatives criterion satisfied? Explain. Number of Votes First 5 A B Second B A
Suppose that the Borda count method is used on the following preference table. If C drops out, is the irrelevant alternatives criterion satisfied? Explain. Number of Votes First Second 10 A B Third B

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