Mathematical Ideas (13th Edition) - Standalone book
13th Edition
ISBN: 9780321977076
Author: Charles D. Miller, Vern E. Heeren, John Hornsby, Christopher Heeren
Publisher: PEARSON
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Chapter 4, Problem 15T
To determine
To calculate:
The octal number for binary number
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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 4 Solutions
Mathematical Ideas (13th Edition) - Standalone book
Ch. 4.1 - Convert each Egyptian numeral to Hindu-Arabic...Ch. 4.1 - Convert each Egyptian numeral to Hindu-Arabic...Ch. 4.1 - Prob. 3ECh. 4.1 - Convert each Egyptian numeral to Hindu-Arabic...Ch. 4.1 - Convert each Hindu-Arabic numeral to Egyptian...Ch. 4.1 - Convert each Hindu-Arabic numeral to Egyptian...Ch. 4.1 - Convert each Hindu-Arabic numeral to Egyptian...Ch. 4.1 - Convert each Hindu-Arabic numeral to Egyptian...Ch. 4.1 - Chapter Z of the hook of Numbers in the Bible...Ch. 4.1 - Prob. 10E
Ch. 4.1 - Chapter 1 of the hook of Numbers in the Bible...Ch. 4.1 - Prob. 12ECh. 4.1 - Chapter 1 of the hook of Numbers in the Bible...Ch. 4.1 - Chapter 1 of the hook of Numbers in the Bible...Ch. 4.1 - Convert each Roman numeral to Hindu-Arabic form....Ch. 4.1 - Convert each Roman numeral to Hindu-Arabic...Ch. 4.1 - Convert each Roman numeral to Hindu-Arabic form....Ch. 4.1 - Convert each Roman numeral to Hindu-Arabic form....Ch. 4.1 - Convert each Hindu-Arabic numeral to Roman form....Ch. 4.1 - Prob. 20ECh. 4.1 - Convert each Hindu-Arabic numeral to Roman...Ch. 4.1 - Convert each Hindu-Arabic numeral to Roman form....Ch. 4.1 - Convert each Chinese numeral to Hindu-Arabic form.Ch. 4.1 - Convert each Chinese numeral to Hindu-Arabic...Ch. 4.1 - Convert each Chinese numeral to Hindu-Arabic form.Ch. 4.1 - Prob. 26ECh. 4.1 - Convert each Hindu-Arabic numeral to Chinese...Ch. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - Convert each Hindu-Arabic numeral to Chinese...Ch. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - Prob. 34ECh. 4.1 - Work each addition or subtraction problem, using...Ch. 4.1 - Prob. 36ECh. 4.1 - Work each addition or subtraction problem, using...Ch. 4.1 - Prob. 38ECh. 4.1 - Prob. 39ECh. 4.1 - Prob. 40ECh. 4.1 - Work each addition or subtraction problem, using...Ch. 4.1 - Work each addition or subtraction problem, using...Ch. 4.1 - Work each addition or subtraction problem, using...Ch. 4.1 - Work each addition or subtraction problem, using...Ch. 4.1 - Work each addition or subtraction problem, using...Ch. 4.1 - Work each addition or subtraction problem, using...Ch. 4.1 - Prob. 47ECh. 4.1 - Use the Egyptian algorithm to find each...Ch. 4.1 - Prob. 49ECh. 4.1 - Prob. 50ECh. 4.1 - In Exercises 51 and 52, convert all numbers to...Ch. 4.1 - In Exercises 51 and 52, convert all numbers to...Ch. 4.1 - Explain why each step would be an improvement in...Ch. 4.1 - Explain why each step would be an improvement in...Ch. 4.1 - Explain why each step would be an improvement in...Ch. 4.1 - Prob. 56ECh. 4.1 - The ancient Egyptian system described in this...Ch. 4.1 - Prob. 58ECh. 4.1 - The ancient Egyptian system described in this...Ch. 4.1 - Prob. 60ECh. 4.1 - The ancient Egyptian system described in this...Ch. 4.1 - Prob. 62ECh. 4.1 - Prob. 63ECh. 4.1 - Prob. 64ECh. 4.1 - The ancient Egyptian system described in this...Ch. 4.1 - The ancient Egyptian system described in this...Ch. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Prob. 2ECh. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Prob. 4ECh. 4.2 - Prob. 5ECh. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Prob. 9ECh. 4.2 - Prob. 10ECh. 4.2 - Prob. 11ECh. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Prob. 21ECh. 4.2 - Write each number as a Babylonian numeral. 32Ch. 4.2 - Write each number as a Babylonian numeral.
23....Ch. 4.2 - Prob. 24ECh. 4.2 - Prob. 25ECh. 4.2 - Write each number as a Babylonian numeral. 3280Ch. 4.2 - Write each number as a Babylonian numeral.
27....Ch. 4.2 - Prob. 28ECh. 4.2 - Prob. 29ECh. 4.2 - Prob. 30ECh. 4.2 - Prob. 31ECh. 4.2 - Prob. 32ECh. 4.2 - Prob. 33ECh. 4.2 - Prob. 34ECh. 4.2 - Prob. 35ECh. 4.2 - Prob. 36ECh. 4.2 - Write each number as a Mayan numeral. 4694Ch. 4.2 - Write each number as a Mayan numeral. 4328Ch. 4.2 - Prob. 39ECh. 4.2 - Prob. 40ECh. 4.2 - Prob. 41ECh. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - Prob. 45ECh. 4.2 - Prob. 46ECh. 4.2 - Prob. 47ECh. 4.2 - Prob. 48ECh. 4.2 - Prob. 49ECh. 4.2 - Prob. 50ECh. 4.2 - Prob. 51ECh. 4.2 - Prob. 52ECh. 4.2 - Prob. 53ECh. 4.2 - Prob. 54ECh. 4.2 - Prob. 55ECh. 4.2 - Write each number as a Greek numeral.Ch. 4.3 - Write each number in expanded form. 73Ch. 4.3 - Write each number in expanded form. 265Ch. 4.3 - Write each number in expanded form
3. 8335
Ch. 4.3 - Write each number in expanded form 12,398Ch. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - Prob. 9ECh. 4.3 - Prob. 10ECh. 4.3 - Prob. 11ECh. 4.3 - Prob. 12ECh. 4.3 - Prob. 13ECh. 4.3 - Prob. 14ECh. 4.3 - Prob. 15ECh. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - Prob. 19ECh. 4.3 - Prob. 20ECh. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - Prob. 27ECh. 4.3 - Perform each subtraction using the nines...Ch. 4.3 - Prob. 29ECh. 4.3 - Prob. 30ECh. 4.3 - Prob. 31ECh. 4.3 - Identify the number represented on each...Ch. 4.3 - Prob. 33ECh. 4.3 - Prob. 34ECh. 4.3 - Prob. 35ECh. 4.3 - Sketch an abacus to show each number.
36. 183
Ch. 4.3 - 2547 Sketch an abacus to show each number.Ch. 4.3 - Prob. 38ECh. 4.3 - Prob. 39ECh. 4.3 - Use the lattice method to find each product. 32741Ch. 4.3 - Prob. 41ECh. 4.3 - Prob. 42ECh. 4.3 - Prob. 43ECh. 4.3 - Refer to Example 10 where Napier's rods were used....Ch. 4.3 - Prob. 45ECh. 4.3 - Use Napier's rods (Figure 9) to find each product....Ch. 4.3 - Prob. 47ECh. 4.3 - Prob. 48ECh. 4.3 - Prob. 49ECh. 4.3 - Prob. 50ECh. 4.3 - Prob. 51ECh. 4.3 - Use the Russian peasant method to find each...Ch. 4.3 - Prob. 53ECh. 4.3 - The Hindu-Arabic system is positional and uses ten...Ch. 4.4 - List the first twenty counting numbers in each...Ch. 4.4 - List the first twenty counting numbers in each...Ch. 4.4 - List the first twenty counting numbers in each...Ch. 4.4 - List the first twenty counting numbers in each...Ch. 4.4 - Write (in the same base) the counting numbers just...Ch. 4.4 - Write (in the same base) the counting numbers just...Ch. 4.4 - Write (in the same base) the counting numbers just...Ch. 4.4 - Write (in the same base) the counting numbers just...Ch. 4.4 - Prob. 9ECh. 4.4 - Prob. 10ECh. 4.4 - Prob. 11ECh. 4.4 - Prob. 12ECh. 4.4 - Determine, in each base, the least and greatest...Ch. 4.4 - Determine, in each base, the least and greatest...Ch. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - Prob. 18ECh. 4.4 - Prob. 19ECh. 4.4 - Prob. 20ECh. 4.4 - Prob. 21ECh. 4.4 - Prob. 22ECh. 4.4 - Prob. 23ECh. 4.4 - Convert each number to decimal form by expanding...Ch. 4.4 - Prob. 25ECh. 4.4 - Prob. 26ECh. 4.4 - Prob. 27ECh. 4.4 - Prob. 28ECh. 4.4 - Prob. 29ECh. 4.4 - Prob. 30ECh. 4.4 - Prob. 31ECh. 4.4 - Convert each number from decimal form to the given...Ch. 4.4 - Convert each number from decimal form to the given...Ch. 4.4 - Prob. 34ECh. 4.4 - Prob. 35ECh. 4.4 - Prob. 36ECh. 4.4 - Make each conversion as indicated. 6748nine to...Ch. 4.4 - Prob. 38ECh. 4.4 - Prob. 39ECh. 4.4 - Convert each number from octal form to binary...Ch. 4.4 - Convert each number from binary form to octal...Ch. 4.4 - Convert each number from binary form to octal...Ch. 4.4 - Prob. 43ECh. 4.4 - Prob. 44ECh. 4.4 - Make each conversion as indicated.
45. 101101two...Ch. 4.4 - Make each conversion as indicated.
46....Ch. 4.4 - Identify the greatest number from each list.
47.
Ch. 4.4 - Prob. 48ECh. 4.4 - Prob. 49ECh. 4.4 - There is a theory that twelve would be a better...Ch. 4.4 - Prob. 51ECh. 4.4 - Prob. 52ECh. 4.4 - Prob. 53ECh. 4.4 - Prob. 54ECh. 4.4 - Prob. 55ECh. 4.4 - Break each code into groups of seven digits and...Ch. 4.4 - Prob. 57ECh. 4.4 - Prob. 58ECh. 4.4 - Prob. 59ECh. 4.4 - Prob. 60ECh. 4.4 - If the IP address and subnet mask for a computer...Ch. 4.4 - Prob. 62ECh. 4.4 - Prob. 63ECh. 4.4 - Prob. 64ECh. 4.4 - Prob. 65ECh. 4.4 - Prob. 66ECh. 4.4 - Prob. 67ECh. 4.4 - Prob. 68ECh. 4.4 - Prob. 69ECh. 4.4 - Prob. 70ECh. 4.4 - Prob. 71ECh. 4.4 - Prob. 72ECh. 4.4 - Prob. 73ECh. 4.4 - In our decimal system, we distinguish odd and even...Ch. 4.4 - Prob. 75ECh. 4.4 - Prob. 76ECh. 4.4 - Prob. 77ECh. 4.4 - Prob. 78ECh. 4.4 - Determine whether the given base-five numeral...Ch. 4.4 - Prob. 80ECh. 4.4 - Prob. 81ECh. 4.4 - Determine whether the given base-five numeral...Ch. 4.4 - Prob. 83ECh. 4.4 - Prob. 84ECh. 4.4 - Prob. 85ECh. 4.4 - Prob. 86ECh. 4.4 - Prob. 87ECh. 4.4 - Prob. 88ECh. 4.4 - Prob. 89ECh. 4.4 - Prob. 90ECh. 4.4 - Prob. 91ECh. 4.4 - Prob. 92ECh. 4.4 - Prob. 93ECh. 4.4 - Prob. 94ECh. 4.4 - Prob. 95ECh. 4.4 - Prob. 96ECh. 4 - In each case, identify the numeration system, and...Ch. 4 - Prob. 2TCh. 4 - Prob. 3TCh. 4 - Prob. 4TCh. 4 - Prob. 5TCh. 4 - Prob. 6TCh. 4 - Perform each operation using the alternative...Ch. 4 - Perform each operation using the alternative...Ch. 4 - Prob. 9TCh. 4 - Convert each number to base ten. 243fiveCh. 4 - Prob. 11TCh. 4 - Prob. 12TCh. 4 - Prob. 13TCh. 4 - Prob. 14TCh. 4 - Prob. 15TCh. 4 - Prob. 16TCh. 4 - Prob. 17TCh. 4 - Prob. 18TCh. 4 - Prob. 19TCh. 4 - Prob. 20TCh. 4 - Briefly explain each of the following. the...Ch. 4 - Briefly explain each of the following.
22 the...Ch. 4 - Prob. 23TCh. 4 - Briefly explain each of the following. Illustrate...
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