Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
6th Edition
ISBN: 9780321914620
Author: Jeffrey O. Bennett, William L. Briggs
Publisher: PEARSON
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Chapter 2.B, Problem 58E
To determine
We need to determine the following:
a) Kilograms the tanker can carry
b) Cubic meters of oil the tanker can carry
c) Barrels of oil the tanker can carry
d) Value of the oil carried by a full tanker
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In Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a
random sample of 1014 adults aged 18 and over. One of the questions was, "How many
cups of coffee, if any, do you drink on an average day?" The following table shows the
results obtained (Gallup website, August 6, 2012).
Number of Cups
per Day
0
1
2
3
4 or more
Number of
Responses
365
264
193
91
101
Define a random variable x = number of cups of coffee consumed on an average day. Let
x=4 represent four or more cups.
a. Develop a probability distribution for x.
b. Compute the expected value of x.
c. Compute the variance of x.
d. Suppose we are only interested in adults who drink at least one cup of coffee on an
average day. For this group, let y = the number of cups of coffee consumed on an
average day. Compute the expected value of y and compare it to the expected value of x.
Ten major college football bowl games were played in January 2010, with the University
of Alabama beating the University of Texas 37 to 21 to become the national champion
of college football. The results of the 10 bowl games follow (USA Today, January 8, 2010).
Bowl Game
Score
Outback
Gator
Auburn 38 Northwestern 35
Florida State 33 West Virginia 21
Capital One
Penn State 19 LSU 17
Rose
Ohio State 26 Oregon 17
Florida 51 Cincinnati 24
Sugar
Cotton
Alamo
Fiesta
Mississippi State 21 Oklahoma State 7
Texas Tech 41 Michigan State 31
Boise State 17 TCU 10
Orange
Iowa 24 Georgia Tech 14
Championship
Alabama 37 Texas 21
Predicted
Point Margin
Actual
Point Margin
5
3
1
12
3
-2
14
3
9
-4
-3
4
229740706
14
10
10
16
The predicted winning point margin was based on Las Vegas betting odds approximately
one week before the bowl games were played. For example, Auburn was predicted to beat
Northwestern in the Outback Bowl by five points. The actual winning point margin for Au-
burn was three points. A…
In 2007 the New York Times reported that the median annual household income in the United
States was $55,500 (New York Times website, August, 21, 2013). Answer the following
questions based on the following sample of 14 household incomes for 2013 ($1000s).
49.4
52.2
52.4
53.4
51.3
52.1
48.7
64.5
51.6
46.5
52.9
52.5
52.1
51.2
a.
What is the median household income for the sample data for 2013?
b. Based on the sample data, estimate the percentage change in the median household
income from 2007 to 2013.
c. Compute the first and third quartiles.
Chapter 2 Solutions
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Ch. 2.A - What does the word per mean? divided by multiplied...Ch. 2.A - Which of the following represents 4 square miles?...Ch. 2.A - If you multiply an area in square feet by a height...Ch. 2.A - There are 1760 yards in a mile. Therefore, one...Ch. 2.A - One square foot is equivalent to 12 square inches...Ch. 2.A - The fact that 1 liter = 1.057 quarts can be...Ch. 2.A - Prob. 7QQCh. 2.A - Prob. 8QQCh. 2.A - Prob. 9QQCh. 2.A - Prob. 10QQ
Ch. 2.A - What are units? Describe the meaning of key worxs...Ch. 2.A - Explain why a unit conversion really involves just...Ch. 2.A - Explain in words or with a picture why there are 9...Ch. 2.A - What are the basic metric units of length, mass,...Ch. 2.A - Prob. 5ECh. 2.A - Describe how to read and use the currency data in...Ch. 2.A - I drove at a speed of 35 miles for the entire...Ch. 2.A - I have a box with a volume of 2 square feet.Ch. 2.A - Prob. 9ECh. 2.A - I know a professional bicyclist who weight 300...Ch. 2.A - My friend ran 10,000 meters in less than an hour.Ch. 2.A - Prob. 12ECh. 2.A - 13-20: Math Review. The following exercises...Ch. 2.A - 13-20: Math Review. The following exercises...Ch. 2.A - 13-20: Math Review. The following exercises...Ch. 2.A - 13-20: Math Review. The following exercises...Ch. 2.A - Prob. 17ECh. 2.A - Prob. 18ECh. 2.A - Math Review. The following exercises require the...Ch. 2.A - Prob. 20ECh. 2.A - Prob. 21ECh. 2.A - Using Key Words. Show operations and units clearly...Ch. 2.A - Prob. 23ECh. 2.A - Using Key Words. Show operations and units clearly...Ch. 2.A - Prob. 25ECh. 2.A - Prob. 26ECh. 2.A - Identifying Units. Identify the units of the...Ch. 2.A - Prob. 28ECh. 2.A - Identifying Units. Identify the units of the...Ch. 2.A - Prob. 30ECh. 2.A - Identifying Units. Identify the units of the...Ch. 2.A - Prob. 32ECh. 2.A - Prob. 33ECh. 2.A - Prob. 34ECh. 2.A - Prob. 35ECh. 2.A - Prob. 36ECh. 2.A - Unit Conversions. Carry out the following unit...Ch. 2.A - Prob. 38ECh. 2.A - Prob. 39ECh. 2.A - Unit Conversions. Carry out the following unit...Ch. 2.A - Prob. 41ECh. 2.A - Prob. 42ECh. 2.A - Conversions with Square and Cubic Units. 43.Find a...Ch. 2.A - 43-48: Conversions with Square and Cubic...Ch. 2.A - Conversions with Square and Cubic Units. 45.A new...Ch. 2.A - 43-48: Conversions with Square and Cubic...Ch. 2.A - Conversions with Square and Cubic Units. 47.An air...Ch. 2.A - Prob. 48ECh. 2.A - USCS Units. Answer the following questions...Ch. 2.A - Prob. 50ECh. 2.A - USCS Units. Answer the following questions...Ch. 2.A - Prob. 52ECh. 2.A - USCS Units. Answer the following questions...Ch. 2.A - USCS Units. Answer the following questions...Ch. 2.A - Metric Prefixes. Complete the following sentences...Ch. 2.A - Prob. 56ECh. 2.A - Metric Prefixes. Complete the following sentences...Ch. 2.A - Prob. 58ECh. 2.A - Metric Prefixes. Complete the following sentences...Ch. 2.A - Prob. 60ECh. 2.A - USCS-Metric Conversions. Convert the following...Ch. 2.A - Prob. 62ECh. 2.A - USCS-Metric Conversions. Convert the following...Ch. 2.A - Prob. 64ECh. 2.A - USCS-Metric Conversions. Convert the following...Ch. 2.A - Prob. 66ECh. 2.A - USCS-Metric Conversions. Convert the following...Ch. 2.A - Prob. 68ECh. 2.A - Celsius-Fahrenheit Conversions. Convert the...Ch. 2.A - Prob. 70ECh. 2.A - Celsius-Kelvin Conversions. Convert the following...Ch. 2.A - Prob. 72ECh. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Prob. 74ECh. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Prob. 76ECh. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Professional Basketball Salaries. In the 2012-2013...Ch. 2.A - Full of Hot Air. The average person breathes 6...Ch. 2.A - Busy Reading. Suppose you have a tablet with a...Ch. 2.A - Landscaping Project. Suppose that you are planning...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - The Cullinan Diamond. The Cullinan diamond is the...Ch. 2.A - Prob. 88ECh. 2.A - Prob. 89ECh. 2.A - Prob. 90ECh. 2.A - Use carats and karats, as discussed in the In Your...Ch. 2.A - Prob. 92ECh. 2.A - Metric Area. When the metric system was first...Ch. 2.A - Measuring drops. Medication is often delivered...Ch. 2.A - Prob. 95ECh. 2.A - Drug Dosage. The label on a particular drug...Ch. 2.A - False Advertising? A Goodyear tire commercial...Ch. 2.A - 98. Units on the highway. Next time you are on the...Ch. 2.A - Are the units clear? Find a news story that...Ch. 2.A - Prob. 100ECh. 2.A - Prob. 101ECh. 2.A - South American Adventure. Suppose you are planning...Ch. 2.A - Currency Conversions. Use internet to convert $100...Ch. 2.A - Prob. 104ECh. 2.B - To end up with units of speed, you need to...Ch. 2.B - You are given two pieces of information: (1) the...Ch. 2.B - You are given two pieces of information: (1) the...Ch. 2.B - Which of the following is not a unit of energy? a....Ch. 2.B - You want to know how much total energy is required...Ch. 2.B - New Mexico has a population density of about 12...Ch. 2.B - The concentration of carbon dioxide in earth’s...Ch. 2.B - The guidelines for a particular drug specify a...Ch. 2.B - A blood alcohol content (BAC) of 0.08gm/100 ml...Ch. 2.B - Prob. 10QQCh. 2.B - Prob. 1ECh. 2.B - What is energy? List at least three common units...Ch. 2.B - Prob. 3ECh. 2.B - what do we mean by density? What do we mean by...Ch. 2.B - Prob. 5ECh. 2.B - Prob. 6ECh. 2.B - My daily food intake gives me about 10 million...Ch. 2.B - Our utility company charges 10$ per watt for the...Ch. 2.B - The beach ball we played with had a density of 10...Ch. 2.B - Prob. 10ECh. 2.B - The nurse gave a 100-kilogram man twice as large a...Ch. 2.B - Prob. 12ECh. 2.B - An airliner travels 45 miles in 5 minutes. What is...Ch. 2.B - what is the total cost of 1.2 cubic yards of soil...Ch. 2.B - A hose fills a hot tub at a rate of 3.2 gallons...Ch. 2.B - Competition speed skydivers have reached record...Ch. 2.B - How much would you pay for 2.5 ounces of gold at a...Ch. 2.B - Suppose you earn $8.50 per hour and work 24...Ch. 2.B - In 2008,565,650 Americans died of (all forms of)...Ch. 2.B - In 2008, about 310,000 Americans died of sudden...Ch. 2.B - There are approximately 3 million births in the...Ch. 2.B - During a long road trip, you drive 420 miles on a...Ch. 2.B - Prob. 23ECh. 2.B - Prob. 24ECh. 2.B - Prob. 25ECh. 2.B - Prob. 26ECh. 2.B - Prob. 27ECh. 2.B - Prob. 28ECh. 2.B - Prob. 29ECh. 2.B - Prob. 30ECh. 2.B - Prob. 31ECh. 2.B - Prob. 32ECh. 2.B - Prob. 33ECh. 2.B - 34. You can rent a storage locker for $32/yd2 per...Ch. 2.B - Prob. 35ECh. 2.B - Prob. 36ECh. 2.B - Gas mileage actually varies slightly with the...Ch. 2.B - Suppose your car averages 32 miles per gallon on...Ch. 2.B - Greenland ice sheet. The Greenland ice sheet...Ch. 2.B - Volcanic eruption. The greatest volcanic eruption...Ch. 2.B - Prob. 41ECh. 2.B - Prob. 42ECh. 2.B - Your utility company charges 13$ per kilowatt-hour...Ch. 2.B - Energy Savings. For these questions, assume 365...Ch. 2.B - Prob. 45ECh. 2.B - Prob. 46ECh. 2.B - Prob. 47ECh. 2.B - Densities. Compute the following densities using...Ch. 2.B - Densities. Compute the following densities using...Ch. 2.B - Prob. 50ECh. 2.B - 51-52. Medication Doses.
51. The antihistamine...Ch. 2.B - 51-52. Medication Doses.
52. Suppose a dose of...Ch. 2.B - Blood Alcohol Content: Wine. A typical glass of...Ch. 2.B - Prob. 54ECh. 2.B - Prob. 55ECh. 2.B - Prob. 56ECh. 2.B - Prob. 57ECh. 2.B - Prob. 58ECh. 2.B - Prob. 59ECh. 2.B - Prob. 60ECh. 2.B - Prob. 61ECh. 2.B - 62-67: Drug Dosing.
62. Solution Concentrations....Ch. 2.B - 62-67: Drug Dosing.
64. Infusion Rates for...Ch. 2.B - 62-67: Drug Dosing.
65. Infusion Rates for...Ch. 2.B - Prob. 66ECh. 2.B - Drug Dosing. 67. Administering Penicillin. A...Ch. 2.B - Prob. 68ECh. 2.B - 69-70: Electric Bills. Consider the following...Ch. 2.B - 69-70: Electric Bills. Consider the following...Ch. 2.B - Prob. 71ECh. 2.B - Prob. 72ECh. 2.B - Prob. 73ECh. 2.B - Prob. 74ECh. 2.B - Prob. 75ECh. 2.B - Wind Power: One Turbine. Modern wind energy...Ch. 2.B - Prob. 77ECh. 2.B - Prob. 78ECh. 2.B - Prob. 79ECh. 2.B - Fertilizing Winter Wheat. Guidelines for the...Ch. 2.B - Prob. 81ECh. 2.B - Prob. 82ECh. 2.B - Prob. 83ECh. 2.B - 84. Air Pollution. Investigate the average...Ch. 2.B - Alcohol Poisoning. Research some aspects of the...Ch. 2.B - Utility Bill. Analyze a utility bill. Explain all...Ch. 2.C - 1. A quantitative problem from daily life
a....Ch. 2.C - Prob. 2QQCh. 2.C - Prob. 3QQCh. 2.C - Prob. 4QQCh. 2.C - Prob. 5QQCh. 2.C - Prob. 6QQCh. 2.C - Prob. 7QQCh. 2.C - 8. Forty balls numbered 1 through 40 are mixed up...Ch. 2.C - 9. Karen arrives at the subway station every day...Ch. 2.C - Prob. 10QQCh. 2.C - 1. Describe the four steps of problem solving.
Ch. 2.C - Summarize the strategic hints for problem solving...Ch. 2.C - My simple problem-solving recipe will enable you...Ch. 2.C - 4. Whether it’s a problem in mathematics or...Ch. 2.C - The four-step problem-solving method given in this...Ch. 2.C - Prob. 6ECh. 2.C - A Toll Booth. A toll collector on a highway...Ch. 2.C - Prob. 8ECh. 2.C - A Second Race. Jordan and Amari run a 200-meter...Ch. 2.C - Cars and Canaries. Two cars, 360 kilometers apart,...Ch. 2.C - Mixing Marbles. Consider the case in which each of...Ch. 2.C - 12. Coiling Problems. Eight turns of a wire are...Ch. 2.C - 13 Bowed Rail. Suppose a railroad rail is 1...Ch. 2.C - 14. China’s Population. To convince yourself that...Ch. 2.C - Alternative Thinking: The Monk and the Mountain. A...Ch. 2.C - Prob. 16ECh. 2.C - Prob. 17ECh. 2.C - Prob. 18ECh. 2.C - Prob. 19ECh. 2.C - Prob. 20ECh. 2.C - Prob. 21ECh. 2.C - Prob. 22ECh. 2.C - Prob. 23ECh. 2.C - Prob. 24ECh. 2.C - Prob. 25ECh. 2.C - Prob. 26ECh. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - 20-39: Puzzle Problems. The following puzzle...Ch. 2.C - Prob. 29ECh. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - 20-39: Puzzle Problems. The following puzzle...Ch. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - Prob. 33ECh. 2.C - Prob. 34ECh. 2.C - Prob. 35ECh. 2.C - Prob. 36ECh. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - Prob. 39ECh. 2.C - Prob. 40ECh. 2.C - Prob. 41ECh. 2.C - Prob. 42ECh. 2.C - Prob. 43ECh. 2.C - Prob. 44ECh. 2.C - Prob. 45ECh. 2.C - Prob. 46ECh. 2.C - Prob. 47ECh. 2.C - Prob. 48ECh. 2.C - 49. Textbook Analysis. Although research shows...Ch. 2.C - Prob. 50ECh. 2.C - Prob. 51ECh. 2.C - 52. Multiple Solutions. Find an example of a real...Ch. 2.C - 53. Multiple Strategies. Find an example of a real...Ch. 2.C - Prob. 54E
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