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mathematics
a survey of mathematics with applications
Questions and Answers of
A Survey of Mathematics with Applications
Your answers may vary from the answers given in the back of the text, depending on how you round your answers. Estimate the answer. There is no one correct estimate. Your answer, however, should be
Michelle purchased two tickets to see Kendrick Lamar at the Hollywood Bowl in Los Angeles. The tickets cost $187 each plus tax. The sales tax rate in Los Angeles is 9.5%. Determine the total price
Your answers may vary from the answers given in the back of the text, depending on how you round your answers. Estimate the answer. There is no one correct estimate. Your answer, however, should be
Your answers may vary from the answers given in the back of the text, depending on how you round your answers. Estimate the answer. There is no one correct estimate. Your answer, however, should be
The circle graph below shows the percent of bachelor’s degrees awarded in 2016 in business, health professions, social sciences and history, psychology, engineering, and other fields in the United
The following graph shows the number of visitors, in thousands, from China, United Kingdom, Germany, South Korea, and France to Washington, DC, for the year 2017.a) Estimate the number of visitors to
Your answers may vary from the answers given in the back of the text, depending on how you round your answers. Estimate the answer. There is no one correct estimate. Your answer, however, should be
Marcelo buys a monthly CharlieCard, which allows him unlimited bus rides in Boston, for $84.50. Without the CharlieCard, each bus ride costs $2.00. How many bus rides per month would Marcelo have to
A truck costs $35 a day plus 20 cents a mile to rent. If the total cost for a one-day rental is $50.40, how many miles were driven?
Your answers may vary from the answers given in the back of the text, depending on how you round your answers. Estimate the answer. There is no one correct estimate. Your answer, however, should be
Karissa buys a monthly MetroCard, which allows her unlimited subway rides in New York City, for $121.50. Without the MetroCard, each subway ride costs $2.75. How many subway rides per month would
Your answers may vary from the answers given in the back of the text, depending on how you round your answers. Estimate the answer. There is no one correct estimate. Your answer, however, should be
Your answers may vary from the answers given in the back of the text, depending on how you round your answers. Estimate the answer. There is no one correct estimate. Your answer, however, should be
The scale on a map of Rocky Mountain National Park indicates that 1 inch on the map equals about 3/4 mile in the park. If the distance on the map from Grand Lake Entrance to Holzwarth Historic Site
The cost of renting a campsite for one night if the cost for three nights was $91.35.Your answers may vary from the answers given in the back of the text, depending on how you round your answers.
Estimate the answer. Your answers may vary from those given in the back of the book, depending on how you round to arrive at the answer, but your answers should be something near the answers
Estimate the answer. Your answers may vary from those given in the back of the book, depending on how you round to arrive at the answer, but your answers should be something near the answers
Estimate the answer. Your answers may vary from those given in the back of the book, depending on how you round to arrive at the answer, but your answers should be something near the answers
Estimate the distance from your wrist to your elbow and estimate the length of your foot. Which do you think is greater? With the help of a friend, measure both lengths to determine which is longer.
The cost of 19 gallons of gas if one gallon costs $3.11.Your answers may vary from the answers given in the back of the text, depending on how you round your answers. Estimate the answer.
Use inductive reasoning to predict the next three numbers in the pattern (or sequence).4, 7, 10, 13, …
Use inductive reasoning to predict the next three numbers in the pattern (or sequence).5, -5, 5, -5, . . . . . .
The total weight of 5 pumpkins if the weights of the pumpkins are 16.1 pounds, 7.9 pounds, 21.4 pounds, 11.6 pounds, and 3.7 pounds.
Use inductive reasoning to predict the next three numbers in the pattern (or sequence).1, -2, 4, -8, . . . . .
Estimate the difference in the average daily high temperatures for Tampa and Chicago in January.Estimate the answer. Your answers may vary from those given in the back of the book, depending on how
Use inductive reasoning to predict the next three numbers in the pattern (or sequence).1, 1/3, 1/5, 1/7, . . . . . .
Estimate the difference in the average daily high temperatures for Tampa and Chicago in July.Estimate the answer. Your answers may vary from those given in the back of the book, depending on how you
Use inductive reasoning to predict the next three numbers in the pattern (or sequence).0, 1, 3, 6, 10, 15, . . . . .
The federal Income tax rate schedule for a person filing a single return in 2018 is shown below.a) Shenile works as a student tutor and paid $876 in federal taxes in 2018. Determine Shenile’s
Use inductive reasoning to predict the next three numbers in the pattern (or sequence).1, 1, 2, 4, 7, 11, . . .
Use the federal income tax rate schedule for a person filing a single return in 2018 shown in Exercise 23 to answer the following questions.a) Lewis works as a waiter and paid $4541.50 in federal
a) Select a variety of one- and two-digit numbers between 1 and 99 and multiply each by 9. Record your results.b) Determine the sum of the digits in each of your products in part (a). If the sum is
Your answers may vary from the answers given in the back of the text, depending on how you round your answers.Giannis visited Guanajuato, Mexico, and purchased a vase that cost 599 Mexican pesos. The
Ivana is flying out of Los Angeles International Airport (LAX) for business. She can park her car in long-term parking at LAX for $30 per day, or she can park her car at an off-site location, Park N
You place $1000 in a mutual fund. The first year, the value of the fund increases by 10%. The second year, the value of the fund decreases by 10%. Determine the value of the fund at the end of the
The graph below shows the annual membership fees for Crackle Fitness for the years 2015–2019.a) Assuming this trend continues, use the graph to predict the annual membership fee for the year
On the following balance, where should the one missing block be placed so that the balance would balance on the triangle (the fulcrum)? Assume that each block has the same weight. -6 -5 -4 -3 -2 -1 2
Estimate, without a ruler, a distance of 12 in. Measure the distance. How good was your estimate?Your answers may vary from the answers given in the back of the text, depending on how you round your
Recreational Mathematicsa.b.c.d.e. is to as is to
Use the three magic squares illustrated to obtain the answers.Examine the 3 by 3 magic squares and determine the sum of the four corner entries of each magic square. How can you determine the sum by
Write a report on the use of biometrics as a means for verifying personal identity. Include a variety of biometrics such as fingerprints, iris patterns, DNA, voice recognition, and facial
Using , the internet, magazines, or other sources, gather a set of data that involves a series of years.a) Use a computer spreadsheet such as Excel or to create a graph using the data set.b) Use the
Fitz is planning a birthday party for his friend, Noelle. There will be 50 guests at the party, and Fitz must do the followingRent a party spaceHire a DJ to play music for 3 hoursOrder a cake large
a) Estimate the time it would take, in days, to spend $1 million if you spent $1 a second until the $1 million is used up.b) Calculate the actual time it would take, in days, to spend $1 million if
Each day, Roberto takes the following nutritional supplements: five tablets of vitamin C, two tablets of fish oil, one tablet of vitamin D, and one multivitamin tablet. Roberto purchases 500 vitamin
At Tallahassee Community College, a survey was taken to determine where students studied on campus. Of the 250 students surveyed, it was determined that177 studied in the library.138 studied in the
State whether each statement is true or false. If the statement is false, explain why.{2, y, △, $} is equivalent to {t, #, 6, □}.
State whether each statement is true or false. If false, give a reason.The set of stores located in the state of Wyoming is a well defined set.
In a survey of 130 people who used food delivery services, it was determined that74 used Grubhub.70 used Uber Eats.41 used both Grubhub and Uber Eats.Of those surveyed,a) How many used only
State whether each statement is true or false. If the statement is false, explain why.{apple, peach, orange, pear} = {bean, carrot, broccoli, cauliflower}
State whether each statement is true or false. If false, give a reason.The set of the three best songs is a well-defined set.
Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets.{5, 6, 7, 8, 9, . . . }
State whether each statement is true or false. If the statement is false, explain why.{star, moon, sun} ⊂ {star, moon, sun, planet}
Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets.{30, 31, 32, 33, 34, . . . }
State whether each statement is true or false. If the statement is false, explain why.7 ∈ {x | x ∈ N and x < 7}
Answer true or false. If false, give the reason.{table} ⊆ {sofa, chair, table}
A survey of 108 high school students determined whether they used Instagram, Twitter, or Facebook. The following information was determined.68 used Instagram.58 used Twitter.75 used Facebook.34 used
Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets.{6, 8, 10, 12, 14, . . . }
State whether each statement is true or false. If false, give a reason.{3, 6, 9, 12, . . .} and {2, 4, 6, 8, . . .} are disjoint sets.
Answer true or false. If false, give the reason.{Pacific} ⊆ {Atlantic, Pacific, Indian, Artic}
Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets.{5, 8, 11, 14, 17, . . . }
State whether each statement is true or false. If the statement is false, explain why.If A ∩ B = { }, then A and B are disjoint sets.
State whether each statement is true or false. If false, give a reason.{Mercury, Venus, Earth, Mars} is an example of a set in roster form.
Answer true or false. If false, give the reason.{apple, pear} ⊆ {pear, peach, grape, orange}
State whether each statement is true or false. If the statement is false, explain why.For any set A, A ∪ A' = { }.
State whether each statement is true or false. If false, give a reason.{candle, picture, lamp} = {picture, chair, lamp}
Construct a Venn diagram illustrating the following sets.U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}A = {2, 3, 4, 7, 8}B = {l, 2, 3, 6, 8}C = {2, 4, 5, 6, 8, 10}
Answer true or false. If false, give the reason.{dog, cat} ⊆ {dog, bird, hamster}
Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets.{5, 9, 13, 17, 21, …}
State whether each statement is true or false. If the statement is false, explain why.For any set A, A ∩ U = A.
State whether each statement is true or false. If false, give a reason.{apple, orange, banana, pear} is equivalent to {tomato, corn, spinach, radish}.
Construct a Venn diagram illustrating the following sets.U = {a, b, c, d, e, f, g, h, i, j}A = {c, d, e, g, h, i}B = {a, c, d, g}C = {c, f, i, j}
TV Guide surveyed subscribers, asking which of the following reality shows they watched on a regular basis: Survivor, The Voice, America’s Got Talent. The results of the questionnaires that were
Construct a Venn diagram illustrating the following sets.U = {Bambi, Pinocchio, Moana, Up, Zootopia, Ratatouille, Frozen, Cinderella, WALL-E, Aladdin}A = {Bambi, Moana, Up, Frozen}B = {Bambi, Moana,
Draw a Venn diagram that illustrates the situation described.Set A and set B are disjoint sets. U U B A (a) (b) U U A B B (c) (d)
Answer true or false. If false, give the reason.{American, Southwest} ⊂ {Delta, American, Southwest}
In a survey of employees at QdobaMexican Eats, it was determined that8 cooked food.9 washed dishes.18 operated the cash register.4 cooked food and washed dishes.5 washed dishes and operated the cash
In Exercises 3–12, show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets. 1111 2,
State whether each statement is true or false. If false, give a reason.A = {1, 3, 5, 7, . . .} is a countable set.
Answer true or false. If false, give the reason.{rock, paper, scissors} ⊂ {rock, paper, scissors}
Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets.{4/11, 5/11, 6/11, 7/11, 8/11,
Use the following information.U = {2, 4, 6, 8, 10, 12, 14}A = {2, 4, 6, 8}B = {6, 8, 10, 12}C = {2, 10, 14}Determine the following.A ∩ B
State whether each statement is true or false. If false, give a reason.A = {1, 4, 7, 10, . . . , 31} is a finite set.
The set of best artists.Determine whether each set is well defined or not well defined.
Answer true or false. If false, give the reason.{engineer, social worker, teacher, architect} ⊂ {social worker, teacher, engineer, architect}
Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets.{ 6/13, 7/13, 8/13, 9/13,
In Exercises 11–16, use the following information.A ∪ C' {2, 4, 6, 8, 10, 12, 14} U = A = {2, 4, 6, 8} B = {6, 8, 10, 12} C = {2, 10, 14}
The set of the most interesting movies in 2019.Determine whether each set is well defined or not well defined.
In Exercises 5–26, answer true or false. If false, give the reason. book E {book, magazine, newspaper}
A New York State Thruway agent sampled cars going from New York into Pennsylvania. In his report, he indicated that of the 85 cars sampled,35 cars were driven by women.53 cars were sport-utility
In Exercises 13–22, show that the set has cardinal number ℵ0 by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the
Use the following information.U = {2, 4, 6, 8, 10, 12, 14}A = {2, 4, 6, 8}B = {6, 8, 10, 12}C = {2, 10, 14}Determine the following.A ∩ (B ∩ C')
State whether each statement is true or false. If false, give a reason.{x | x ∈ N and 3 < x ≤ 9} is a set in set-builder notation.
The set of countries with a population of more than 1 trillion people.Determine whether each set is well defined or not well defined.
Consider the following table, which shows countries that won at least 15 medals in the 2018 Winter Olympics. Let the countries in the table represent the universal set.Let A = the set of countries
Answer true or false. If false, give the reason.necklace ∈ {necklace, ring, bracelet, earring}
Show that the set has cardinal number אο by establishing a one to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in the
Use the following information.U = {2, 4, 6, 8, 10, 12, 14}A = {2, 4, 6, 8}B = {6, 8, 10, 12}C = {2, 10, 14}Determine the following.n(A ∩ B')
State whether each statement is true or false. If false, give a reason.{x | x ∈ N and 2 < x ≤ 12} ⊆ {1, 2, 3, 4, 5, . . . , 20}
The set of Academy Awards winners in 2019.Determine whether each set is well defined or not well defined.
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