Mathematics All Around, Books a la carte edition (6th Edition)
6th Edition
ISBN: 9780134462448
Author: Pirnot, Tom
Publisher: PEARSON
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Textbook Question
Chapter 5.1, Problem 76E
Suppose that Egyptian numeration was based on
would represent five strokes and 
would represent five 
, etc. In this case, what would be the largest number that you could express in this system? Write your answer using Hindu-Arabic notation.
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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…
Chapter 5 Solutions
Mathematics All Around, Books a la carte edition (6th Edition)
Ch. 5.1 - Write the Egyptian numerals using Hindu-Arabic...Ch. 5.1 - Write the Egyptian numerals using Hindu-Arabic...Ch. 5.1 - Prob. 3ECh. 5.1 - Write the Egyptian numerals using Hindu-Arabic...Ch. 5.1 - Write each Hindu-Arabic numeral using Egyptian...Ch. 5.1 - Write each Hindu-Arabic numeral using Egyptian...Ch. 5.1 - Prob. 7ECh. 5.1 - Write each Hindu-Arabic numeral using Egyptian...Ch. 5.1 - Prob. 9ECh. 5.1 - Perform each of the following addition problems...
Ch. 5.1 - Prob. 11ECh. 5.1 - Perform each of the following addition problems...Ch. 5.1 - Perform each of the following subtraction problems...Ch. 5.1 - Perform each of the following subtraction problems...Ch. 5.1 - Perform each of the following subtraction problems...Ch. 5.1 - Perform each of the following subtraction problems...Ch. 5.1 - Prob. 17ECh. 5.1 - Use the Egyptian method of doubling to calculate...Ch. 5.1 - Prob. 19ECh. 5.1 - Use the Egyptian method of doubling to calculate...Ch. 5.1 - Prob. 21ECh. 5.1 - Write each Roman numeral using Hindu-Arabic...Ch. 5.1 - Write each Roman numeral using Hindu-Arabic...Ch. 5.1 - Write each Roman numeral using Hindu-Arabic...Ch. 5.1 - Write each Roman numeral using Hindu-Arabic...Ch. 5.1 - Write each Roman numeral using Hindu-Arabic...Ch. 5.1 - Write each Roman numeral using Hindu-Arabic...Ch. 5.1 - Write each Roman numeral using Hindu-Arabic...Ch. 5.1 - Write each Roman numeral using Hindu-Arabic...Ch. 5.1 - Write each Roman numeral using Hindu-Arabic...Ch. 5.1 - Prob. 31ECh. 5.1 - Write each numeral in Roman notation There may be...Ch. 5.1 - Prob. 33ECh. 5.1 - Write each numeral in Roman notation There may be...Ch. 5.1 - Prob. 35ECh. 5.1 - Write each numeral in Roman notation There may be...Ch. 5.1 - Prob. 37ECh. 5.1 - Write each numeral in Roman notation There may be...Ch. 5.1 - Write each Chinese numeral as a Hindu-Arabic...Ch. 5.1 - Write each Chinese numeral as a Hindu-Arabic...Ch. 5.1 - Write each Chinese numeral as a Hindu-Arabic...Ch. 5.1 - Write each Chinese numeral as a Hindu-Arabic...Ch. 5.1 - Write each Chinese numeral as a Hindu-Arabic...Ch. 5.1 - Write each Chinese numeral as a Hindu-Arabic...Ch. 5.1 - Write each numeral using Chinese numerals. 495Ch. 5.1 - Write each numeral using Chinese numerals. 726Ch. 5.1 - Write each numeral using Chinese numerals. 2,805Ch. 5.1 - Write each numeral using Chinese numerals. 3,926Ch. 5.1 - Write each numeral using Chinese numerals. 9,846Ch. 5.1 - Write each numeral using Chinese numerals. 8,054Ch. 5.1 - The Great Pyramid at Giza was completed in . Write...Ch. 5.1 - Cheops, the builder of the Great Pyramid at Giza,...Ch. 5.1 - An Egyptian merchant has a warehouse that contains...Ch. 5.1 - An ancient Egyptian merchant had on hand bushels...Ch. 5.1 - Using Egyptian notation, the number 100,...Ch. 5.1 - Using Egyptian notation, the number 100,...Ch. 5.1 - Using Egyptian notation, the number 100,...Ch. 5.1 - Using Egyptian notation, the number 100,...Ch. 5.1 - The emperor Aurelius Constantine, who lived from...Ch. 5.1 - By 285ad, the Roman Empire had become so vast that...Ch. 5.1 - Frequently, Roman numerals are used today in movie...Ch. 5.1 - Prob. 62ECh. 5.1 - Prob. 63ECh. 5.1 - Frequently, Roman numerals are used today in movie...Ch. 5.1 - The counting boards In Exercises 6568 show...Ch. 5.1 - The counting boards In Exercises 6568 show...Ch. 5.1 - The counting boards In Exercises 6568 show...Ch. 5.1 - The counting boards In Exercises 6568 show...Ch. 5.1 - The oldest discovery of Chinese written numerals...Ch. 5.1 - When Marco Polo visited China in 1274, he was...Ch. 5.1 - Explain two advantages of the Roman numeration...Ch. 5.1 - The Roman numeration system has symbols for 5,50,...Ch. 5.1 - The traditional Chinese numeration system had no...Ch. 5.1 - Research the Ionic Greek numeration system, which...Ch. 5.1 - In the Egyptian numeration system, whenever we...Ch. 5.1 - Suppose that Egyptian numeration was based on 5...Ch. 5.1 - Invent an Egyptian type of numeration system using...Ch. 5.1 - Write the number 1,999 in Roman numerals in as...Ch. 5.1 - Egyptian mathematics had a unique way of writing...Ch. 5.1 - Egyptian mathematics had a unique way of writing...Ch. 5.1 - Egyptian mathematics had a unique way of writing...Ch. 5.1 - Egyptian mathematics had a unique way of writing...Ch. 5.2 - Write the following Babylonian numerals as...Ch. 5.2 - Write the following Babylonian numerals as...Ch. 5.2 - Write the following Babylonian numerals as...Ch. 5.2 - Write the following Babylonian numerals as...Ch. 5.2 - Write each number using Babylonian notation. 8,235Ch. 5.2 - Write each number using Babylonian notation. 7,331Ch. 5.2 - Write each number using Babylonian notation....Ch. 5.2 - Write each number using Babylonian notation....Ch. 5.2 - Write each number using Babylonian notation....Ch. 5.2 - Write each number using Babylonian notation....Ch. 5.2 - Write each number using Babylonian notation....Ch. 5.2 - Write each number using Babylonian notation....Ch. 5.2 - Translate each of the following Mayan numerals to...Ch. 5.2 - Translate each of the following Mayan numerals to...Ch. 5.2 - Translate each of the following Mayan numerals to...Ch. 5.2 - Translate each of the following Mayan numerals to...Ch. 5.2 - Write each number using Mayan notation. 17Ch. 5.2 - Write each number using Mayan notation. 48Ch. 5.2 - Prob. 19ECh. 5.2 - Prob. 20ECh. 5.2 - Prob. 21ECh. 5.2 - Prob. 22ECh. 5.2 - Prob. 23ECh. 5.2 - Prob. 24ECh. 5.2 - Prob. 25ECh. 5.2 - Prob. 26ECh. 5.2 - Prob. 27ECh. 5.2 - Prob. 28ECh. 5.2 - Prob. 29ECh. 5.2 - Prob. 30ECh. 5.2 - Prob. 31ECh. 5.2 - Prob. 32ECh. 5.2 - Prob. 33ECh. 5.2 - Prob. 34ECh. 5.2 - Prob. 35ECh. 5.2 - Prob. 36ECh. 5.2 - Prob. 37ECh. 5.2 - Prob. 38ECh. 5.2 - Prob. 39ECh. 5.2 - Prob. 40ECh. 5.2 - Prob. 41ECh. 5.2 - Prob. 42ECh. 5.2 - Prob. 43ECh. 5.2 - Prob. 44ECh. 5.2 - Prob. 45ECh. 5.2 - Prob. 46ECh. 5.2 - Prob. 47ECh. 5.2 - Prob. 48ECh. 5.2 - Prob. 49ECh. 5.2 - Prob. 50ECh. 5.2 - Prob. 51ECh. 5.2 - Prob. 52ECh. 5.2 - Prob. 53ECh. 5.2 - Prob. 54ECh. 5.2 - Prob. 55ECh. 5.2 - Prob. 56ECh. 5.2 - Prob. 57ECh. 5.2 - Prob. 58ECh. 5.2 - Prob. 59ECh. 5.2 - Prob. 60ECh. 5.2 - Prob. 61ECh. 5.2 - Prob. 62ECh. 5.2 - Prob. 63ECh. 5.2 - Prob. 64ECh. 5.2 - Prob. 65ECh. 5.2 - Prob. 66ECh. 5.2 - Prob. 67ECh. 5.2 - Prob. 68ECh. 5.2 - Prob. 69ECh. 5.2 - Prob. 70ECh. 5.2 - Prob. 71ECh. 5.2 - Prob. 72ECh. 5.2 - Prob. 73ECh. 5.2 - Prob. 74ECh. 5.2 - Prob. 75ECh. 5.2 - Prob. 76ECh. 5.2 - Prob. 77ECh. 5.2 - Prob. 78ECh. 5.2 - Prob. 79ECh. 5.2 - Prob. 80ECh. 5.3 - Prob. 1ECh. 5.3 - Prob. 2ECh. 5.3 - Prob. 3ECh. 5.3 - Prob. 4ECh. 5.3 - Prob. 5ECh. 5.3 - Prob. 6ECh. 5.3 - Prob. 7ECh. 5.3 - Prob. 8ECh. 5.3 - Prob. 9ECh. 5.3 - Prob. 10ECh. 5.3 - Prob. 11ECh. 5.3 - Prob. 12ECh. 5.3 - Prob. 13ECh. 5.3 - Prob. 14ECh. 5.3 - Prob. 15ECh. 5.3 - Prob. 16ECh. 5.3 - Prob. 17ECh. 5.3 - Prob. 18ECh. 5.3 - Prob. 19ECh. 5.3 - Prob. 20ECh. 5.3 - Prob. 21ECh. 5.3 - Prob. 22ECh. 5.3 - Prob. 23ECh. 5.3 - Prob. 24ECh. 5.3 - Prob. 25ECh. 5.3 - Prob. 26ECh. 5.3 - Prob. 27ECh. 5.3 - Prob. 28ECh. 5.3 - Prob. 29ECh. 5.3 - Prob. 30ECh. 5.3 - Prob. 31ECh. 5.3 - Prob. 32ECh. 5.3 - Prob. 33ECh. 5.3 - Prob. 34ECh. 5.3 - Prob. 35ECh. 5.3 - Prob. 36ECh. 5.3 - Prob. 37ECh. 5.3 - Prob. 38ECh. 5.3 - Prob. 39ECh. 5.3 - Prob. 40ECh. 5.3 - Prob. 41ECh. 5.3 - Prob. 42ECh. 5.3 - Prob. 43ECh. 5.3 - Prob. 44ECh. 5.3 - Prob. 45ECh. 5.3 - Prob. 46ECh. 5.3 - Prob. 47ECh. 5.3 - Prob. 48ECh. 5.3 - Prob. 49ECh. 5.3 - Prob. 50ECh. 5.3 - Prob. 51ECh. 5.3 - Prob. 52ECh. 5.3 - Prob. 53ECh. 5.3 - Prob. 54ECh. 5.3 - Prob. 55ECh. 5.3 - Prob. 56ECh. 5.3 - Prob. 57ECh. 5.3 - Prob. 58ECh. 5.3 - Prob. 59ECh. 5.3 - Prob. 60ECh. 5.3 - Prob. 61ECh. 5.3 - Prob. 62ECh. 5.3 - Prob. 63ECh. 5.3 - Prob. 64ECh. 5.3 - Prob. 65ECh. 5.3 - Prob. 66ECh. 5.3 - Prob. 67ECh. 5.3 - Prob. 68ECh. 5.3 - Prob. 69ECh. 5.3 - Prob. 70ECh. 5.3 - Prob. 71ECh. 5.3 - Prob. 72ECh. 5.3 - Prob. 73ECh. 5.3 - Prob. 74ECh. 5.3 - Prob. 75ECh. 5.3 - Prob. 76ECh. 5.3 - Prob. 77ECh. 5.3 - Prob. 78ECh. 5.3 - Prob. 79ECh. 5.3 - Prob. 80ECh. 5.3 - Prob. 81ECh. 5.3 - Prob. 82ECh. 5.3 - Prob. 83ECh. 5.3 - Prob. 84ECh. 5.3 - Prob. 85ECh. 5.3 - Prob. 86ECh. 5.3 - Prob. 87ECh. 5.3 - Prob. 88ECh. 5.3 - Prob. 89ECh. 5.3 - Prob. 90ECh. 5.3 - Prob. 91ECh. 5.3 - Prob. 92ECh. 5.3 - Prob. 93ECh. 5.3 - Prob. 94ECh. 5.3 - Prob. 95ECh. 5.3 - Prob. 96ECh. 5.3 - Prob. 97ECh. 5.3 - Prob. 98ECh. 5.3 - Prob. 99ECh. 5.3 - Prob. 100ECh. 5.3 - Prob. 101ECh. 5.3 - Prob. 102ECh. 5.4 - Prob. 1ECh. 5.4 - Prob. 2ECh. 5.4 - Prob. 3ECh. 5.4 - Prob. 4ECh. 5.4 - Prob. 5ECh. 5.4 - Prob. 6ECh. 5.4 - Prob. 7ECh. 5.4 - Prob. 8ECh. 5.4 - Prob. 9ECh. 5.4 - Prob. 10ECh. 5.4 - Prob. 11ECh. 5.4 - Prob. 12ECh. 5.4 - Prob. 13ECh. 5.4 - Prob. 14ECh. 5.4 - Prob. 15ECh. 5.4 - Prob. 16ECh. 5.4 - Prob. 17ECh. 5.4 - Prob. 18ECh. 5.4 - Prob. 19ECh. 5.4 - Prob. 20ECh. 5.4 - Prob. 21ECh. 5.4 - Prob. 22ECh. 5.4 - Prob. 23ECh. 5.4 - Prob. 24ECh. 5.4 - Prob. 25ECh. 5.4 - Prob. 26ECh. 5.4 - Prob. 27ECh. 5.4 - Prob. 28ECh. 5.4 - Prob. 29ECh. 5.4 - Prob. 30ECh. 5.4 - Prob. 31ECh. 5.4 - Prob. 32ECh. 5.4 - Prob. 33ECh. 5.4 - Prob. 34ECh. 5.4 - Prob. 35ECh. 5.4 - Prob. 36ECh. 5.4 - Prob. 37ECh. 5.4 - Prob. 38ECh. 5.4 - Prob. 39ECh. 5.4 - Prob. 40ECh. 5.4 - Prob. 41ECh. 5.4 - Prob. 42ECh. 5.4 - Prob. 43ECh. 5.4 - Prob. 44ECh. 5.4 - Prob. 45ECh. 5.4 - Prob. 46ECh. 5.4 - Prob. 47ECh. 5.4 - Prob. 48ECh. 5.4 - Prob. 49ECh. 5.4 - Prob. 50ECh. 5.4 - Prob. 51ECh. 5.4 - Prob. 52ECh. 5.4 - Prob. 53ECh. 5.4 - Prob. 54ECh. 5.4 - Prob. 55ECh. 5.4 - Prob. 56ECh. 5.4 - a. Why are check digits important? Give an...Ch. 5.4 - Prob. 58ECh. 5.4 - Prob. 59ECh. 5.4 - Prob. 60ECh. 5.4 - Prob. 61ECh. 5.4 - Prob. 62ECh. 5.4 - Prob. 63ECh. 5.4 - Challenge Yourself When we do usual division of...Ch. 5.4 - Prob. 65ECh. 5.CR - Prob. 1CRCh. 5.CR - Prob. 2CRCh. 5.CR - Prob. 3CRCh. 5.CR - Prob. 4CRCh. 5.CR - Prob. 5CRCh. 5.CR - Prob. 6CRCh. 5.CR - Prob. 7CRCh. 5.CR - Prob. 8CRCh. 5.CR - Prob. 9CRCh. 5.CR - Prob. 10CRCh. 5.CR - Prob. 11CRCh. 5.CR - Prob. 12CRCh. 5.CR - Prob. 13CRCh. 5.CR - Prob. 14CRCh. 5.CR - Prob. 15CRCh. 5.CR - Prob. 16CRCh. 5.CR - Prob. 17CRCh. 5.CR - Prob. 18CRCh. 5.CR - Prob. 19CRCh. 5.CR - Prob. 20CRCh. 5.CR - Prob. 21CRCh. 5.CR - Prob. 22CRCh. 5.CR - Prob. 23CRCh. 5.CT - Write 3,685 in Roman notation.Ch. 5.CT - Prob. 2CTCh. 5.CT - Write 2647 and A3E16 as base-10 numerals.Ch. 5.CT - Prob. 4CTCh. 5.CT - Prob. 5CTCh. 5.CT - Prob. 6CTCh. 5.CT - Prob. 7CTCh. 5.CT - Prob. 8CTCh. 5.CT - Prob. 9CTCh. 5.CT - Prob. 10CTCh. 5.CT - Prob. 11CTCh. 5.CT - Prob. 12CTCh. 5.CT - Prob. 13CTCh. 5.CT - Prob. 14CTCh. 5.CT - Prob. 15CTCh. 5.CT - Prob. 16CTCh. 5.CT - Prob. 17CTCh. 5.CT - Prob. 18CTCh. 5.CT - Prob. 19CTCh. 5.CT - Prob. 20CTCh. 5.CT - Prob. 21CTCh. 5.CT - Prob. 22CT
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