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mathematics
survey of mathematics

A Survey of Mathematics with Applications 10th edition Allen R. Angel, Christine D. Abbott, Dennis Runde - Solutions

Perform the indicated operation. FAB16 X 416
Write the numeral as an Ionic Greek numeral.201
Subtract in the base indicated. 3214 1334
Write the numeral as an Ionic Greek numeral.122
Subtract in the base indicated. 10012 1012
Subtract in the base indicated. A7B12 9512
Write the numeral as an Ionic Greek numeral.2008
Subtract in the base indicated. 43215 4425
Write the numeral as an Ionic Greek numeral.5005
Write the numeral as an Ionic Greek numeral.9999
Multiply in the base indicated. 4768 x 238
Write the numeral as numerals in the indicated systems of numeration.MCMXXXVI in Hindu–Arabic, Egyptian, Greek, and traditional Chinese
Statistically speaking, what is the most dangerous job in the United States?
Determine each route’s apportionment using Jefferson’s method.When appropriate round quotas to the nearest hundredth.The Transit Department in the city of Houston has 100 new buses to be apportioned among six routes. The department decides to apportion the buses based on the average number of
(a) Determine the standard divisor. (b) Determine each route’s standard quota.(c) Determine each route’s apportionment using Hamilton’s method.When appropriate round quotas to the nearest hundredth.The Transit Department in the city of Houston has 100 new buses to be apportioned among
Determine each dealership’s apportionment using Adams’ method. (Some divisors between 91 and 92 will work.)When appropriate round quotas to the nearest hundredth.Boat manufacturer has 120 new boats of a new model to be apportioned to four dealerships. The manufacturer decides to apportion the
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.Boat manufacturer has 120 new boats of a new model to be apportioned to four dealerships. The manufacturer decides to apportion
Determine each dealership’s apportionment using Jefferson’s method. (Some divisors between 88.5 and 89 will work.)When appropriate round quotas to the nearest hundredth.Boat manufacturer has 120 new boats of a new model to be apportioned to four dealerships. The manufacturer decides to
(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 hundredth.Boat manufacturer has 120 new boats of a new model to be apportioned to four
(a) Determine the standard divisor. (b) Determine each college’s standard quota.(c) Determine each college’s apportionment using Hamilton’s method.When appropriate round quotas to the nearest hundredth.A university is made up of five colleges: Liberal Arts, Sciences, Engineering,
Determine each resort’s apportionment using Webster’s method. (Some divisors between 11.5 and 12.5 will work.)When appropriate round quotas to the nearest hundredth.Sandy Shores Resorts operates four beach resorts in the Caribbean islands. Sandy Shores Resorts plans to apportion 50 new beach
Determine each resort’s apportionment using Adams’ method. (Some divisors between 12 and 13 will work.)When appropriate round quotas to the nearest hundredth.Sandy Shores Resorts operates four beach resorts in the Caribbean islands. Sandy Shores Resorts plans to apportion 50 new beach umbrellas
(a) Determine the standard divisor. (b) Determine each resort’s standard quota. (c) Determine each resort’s apportionment using Hamilton’s method.When appropriate round quotas to the nearest hundredth.Sandy Shores Resorts operates four beach resorts in the Caribbean islands. Sandy
(a) Determine each hotel’s modified quota using the divisor 28.1. (b) Determine each hotel’s apportionment using Webster’s methodWhen appropriate round quotas to the nearest hundredth.A large hotel chain needs to apportion 25 new staff members among three hotels based on the numbers of
Determine each hotel’s apportionment using Webster’s method using the standard divisor.When appropriate round quotas to the nearest hundredth.A large hotel chain needs to apportion 25 new staff members among three hotels based on the numbers of rooms in each hotel as shown in the table below.
(a) Determine each hotel’s modified quota using the divisor 28.(b) Determine each hotel’s apportionment using Adams’ method.When appropriate round quotas to the nearest hundredth.A large hotel chain needs to apportion 25 new staff members among three hotels based on the numbers of rooms in
(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 hotel chain needs to apportion 25 new staff members among three hotels based on the numbers of rooms
(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 large hotel chain needs to apportion 25 new staff members among three hotels based on the numbers
(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 hotel chain needs to apportion 25 new staff members among three hotels based on the numbers of
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 colleges: Liberal Arts, Sciences, Engineering, Business, and Humanities. There are 250 new
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 colleges: Liberal Arts, Sciences, Engineering, Business, and Humanities. There are 250 new
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, Business, and Humanities. There are 250 new computers to be apportioned among the five
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 misinterpretations may exist.
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 . . . . . . . . . . . $7.892011 . . . . . . . . . . . $7.932012 . . . . . . . . . . . $7.962013 .
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 . . . . . . . . . . . . . . . . . . 55.02010 . . . . . . . . . . . . . . . . . . 60.02011 . . . . .
(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 for males.Use the following table.Median Age at First Marriage Female Male Age Age Year Year 26.9
(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 marriage for females.Use the following table.Median Age at First Marriage Female Male Age Age Year Year
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 0 to 25. 2013 16 21 2014 20 15 25 Percent
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 speed 20% Start/stop traffic Uncertain 43% travel time 26% Aggressive drivers 32%
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 then used as a sample from which frequency of repairs and other ratings are made by the magazine.
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 misinterpretations may exist.
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 Rib House.Discuss the statement and tell what possible misuses or misinterpretations may exist.
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 than Professor Bond.Discuss the statement and tell what possible misuses or misinterpretations may
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 misinterpretations may exist. A Sedona, Arizona
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 misinterpretations may exist.
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 misinterpretations may exist.
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 misuses or misinterpretations may exist.
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 statement and tell what possible misuses or misinterpretations may exist.
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 misuses or misinterpretations may exist.
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 obtain a sample.
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 representative sample of the entire city.Identify the sampling technique used to obtain a sample.
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 businesses from each type is selected.Identify the sampling technique used to obtain a sample. A
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 used to obtain a sample.
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 ____________ sampling.
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 country has three states and 30 seats in the legislature. The population of each state is shown below.
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 has three states and 30 seats in the legislature. The population of each state is shown below. State
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 state is shown below. State A Total 6933 16,534 9533 Population 33,000
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 Population 33,000
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 Population 33,000
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 9533 Population 33,000
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 9533 Population 33,000
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 waterfall (W). The 35 rangers rank their choices according to the following preference table.Using
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 52 86 60 58 х Second Third Fourth
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), lemming (L), and salamander (S). The results of the election are given in the following preference
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), iguana (I), lemming (L), and salamander (S). The results of the election are given in the following
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 (L), and salamander (S). The results of the election are given in the following preference table.
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 (L), and salamander (S). The results of the election are given in the following preference table.
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 the election are given in the following preference table. Number of Votes First 43 26 14 14 30 29 н
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 burgers (B). The preference table follows. Number of Votes First 3 3 2 4 D Second B D D Third B D B
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 (P), and burgers (B). The preference table follows. Number of Votes First 3 3 2 4 D Second B D D Third
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 (B). The preference table follows. Number of Votes First 3 3 2 4 D Second B D D Third B D B
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 (B). The preference table follows. Number of Votes First 3 3 2 4 D Second B D D Third B D B
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 preference table follows. Number of Votes First 3 3 2 4 D Second B D D Third B D B
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 follows. Number of Votes First 3 3 2 4 D Second B D D Third B D B
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, 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 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. Total State A B Population 45,580 4420 50,000
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 State A B Population 45,580 4420 50,000
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 below. Total State A B Population 45,580 4420 50,000
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. Total State A B Population 45,580 4420 50,000
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 plans to offer 23 sections of three different biology courses: Anatomy and Physiology (A), Introduction
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 Biology (B), and Biochemistry (C). The sections will be apportioned based on preregistration as shown in
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 (B), and Biochemistry (C). The sections will be apportioned based on preregistration as shown in the
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 Biology (B), and Biochemistry (C). The sections will be apportioned based on preregistration as shown
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 Biology (B), and Biochemistry (C). The sections will be apportioned based on preregistration as shown
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 Riverside has three regions in which to distribute the mail and 10 new mail trucks. The trucks are
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 apportioned based on the number of houses in each region, as shown in the table below. Total Region
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 apportioned based on the number of houses in each region, as shown in the table below. Total Region A
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 be apportioned based on the number of houses in each region, as shown in the table below. Total
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 apportioned based on the number of houses in each region, as shown in the table below. Total Region

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