Elementary Technical Mathematics
11th Edition
ISBN: 9781285199191
Author: Dale Ewen, C. Robert Nelson
Publisher: Cengage Learning
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Chapter 14.4, Problem 15E
For each general triangle, a. determine the number of solutions and) b. solve the triangle, if possible, using the labels as shown in Illustration 1 (round lengths to three significant digits and angles to the nearest tenth of a degree):
ILLUSTRATION 1
1
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For unemployed persons in the United States, the average number of months of unemployment at the end of December 2009 was approximately seven months (Bureau of Labor Statistics, January 2010). Suppose the following data are for a particular region in upstate New York. The values in the first column show the number of
months unemployed and the values in the second column show the corresponding number of unemployed persons.
Months
Unemployed
Number
Unemployed
1
1029
2
1686
3
2269
4
2675
5
3487
6
4652
7
4145
8
3587
9
2325
10
1120
Let x be a random variable indicating the number of months a person is unemployed.
a. Use the data to develop an empirical discrete probability distribution for x (to 4 decimals).
(x)
f(x)
1
2
3
4
5
6
7
8
9
10
b. Show that your probability distribution satisfies the conditions for a valid discrete probability distribution.
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
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c. What is the probability that a…
West Virginia has one of the highest divorce rates in the nation, with an annual rate of approximately 5 divorces per 1000 people (Centers for Disease Control and Prevention website, January 12, 2012). The Marital Counseling Center, Inc. (MCC) thinks that the high divorce rate in the state may require them to hire additional staff.
Working with a consultant, the management of MCC has developed the following probability distribution for x = the number of new clients for marriage counseling for the next year.
Excel File: data05-19.xls
x
10
f(x)
.05
20
30
.10
.10
40
.20
50
60
.35
.20
a. Is this probability distribution valid?
- Select your answer-
Explain.
f(x)
Σf(x)
Select your answer
Select your answer
b. What is the probability MCC will obtain more than 30 new clients (to 2 decimals)?
c. What is the probability MCC will obtain fewer than 20 new clients (to 2 decimals)?
d. Compute the expected value and variance of x.
Expected value
Variance
clients per year
squared clients per year
Chapter 14 Solutions
Elementary Technical Mathematics
Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 5ECh. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 9ECh. 14.1 - Find each value rounded to four significant...
Ch. 14.1 - Prob. 11ECh. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 13ECh. 14.1 - Graph each equation for value of x between 0 and...Ch. 14.1 - Prob. 15ECh. 14.1 - Graph each equation for value of x between 0 and...Ch. 14.1 - Prob. 17ECh. 14.1 - Prob. 18ECh. 14.1 - Prob. 19ECh. 14.1 - Graph each equation for values of x between 0 and...Ch. 14.1 - Prob. 21ECh. 14.1 - Prob. 22ECh. 14.1 - Prob. 23ECh. 14.1 - Prob. 24ECh. 14.1 - Prob. 25ECh. 14.1 - Prob. 26ECh. 14.1 - Prob. 27ECh. 14.1 - Prob. 28ECh. 14.1 - Prob. 29ECh. 14.1 - Prob. 30ECh. 14.1 - Prob. 31ECh. 14.1 - Prob. 32ECh. 14.1 - A radar unit operates at a wavelength of 3.4 cm....Ch. 14.1 - A local AM radio station broadcasts at 1400 kHz....Ch. 14.1 - Prob. 35ECh. 14.1 - Find the wavelength of water waves with frequency...Ch. 14.1 - Radio antennas are made so that the...Ch. 14.2 - Find the period and amplitude, and graph at least...Ch. 14.2 - Find the period and amplitude, and graph at least...Ch. 14.2 - Find the period and amplitude, and graph at least...Ch. 14.2 - Find the period and amplitude, and graph at least...Ch. 14.2 - Prob. 5ECh. 14.2 - Find the period and amplitude, and graph at least...Ch. 14.2 - Prob. 7ECh. 14.2 - Prob. 8ECh. 14.2 - Prob. 9ECh. 14.2 - Prob. 10ECh. 14.2 - Prob. 11ECh. 14.2 - Prob. 12ECh. 14.2 - Prob. 13ECh. 14.2 - Prob. 14ECh. 14.2 - Prob. 15ECh. 14.2 - Find the period amplitude, and phase shift, and...Ch. 14.2 - Prob. 17ECh. 14.2 - Prob. 18ECh. 14.2 - Prob. 19ECh. 14.2 - Prob. 20ECh. 14.2 - Prob. 21ECh. 14.2 - Prob. 22ECh. 14.2 - Prob. 23ECh. 14.2 - Prob. 24ECh. 14.3 - Solve each triangle using the labels as shown in...Ch. 14.3 - Solve each triangle using the labels as shown in...Ch. 14.3 - Solve each triangle using the labels as shown in...Ch. 14.3 - Solve each triangle using the labels as shown in...Ch. 14.3 - Prob. 5ECh. 14.3 - Prob. 6ECh. 14.3 - Prob. 7ECh. 14.3 - Prob. 8ECh. 14.3 - Prob. 9ECh. 14.3 - Prob. 10ECh. 14.3 - Prob. 11ECh. 14.3 - Prob. 12ECh. 14.3 - Prob. 13ECh. 14.3 - Prob. 14ECh. 14.3 - Prob. 15ECh. 14.3 - Prob. 16ECh. 14.3 - Find the distance AC across the river shown in...Ch. 14.3 - Find the lengths of rafters AC and BC of the roof...Ch. 14.3 - Find the distance AB between the ships shown in...Ch. 14.3 - Find the height of the cliff shown in Illustration...Ch. 14.3 - A contractor needs to grade the slope of a...Ch. 14.3 - A weather balloon is sighted from points A and B,...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - Prob. 11ECh. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - Prob. 16ECh. 14.4 - The owner of a triangular lot wishes to fence it...Ch. 14.4 - The average distance from the sun to the earth is...Ch. 14.4 - A manufacturer has moved into a new building and...Ch. 14.5 - Solve each triangle using the labels as shown in...Ch. 14.5 - Solve each triangle using the labels as shown in...Ch. 14.5 - Prob. 3ECh. 14.5 - Solve each triangle using the labels as shown in...Ch. 14.5 - Prob. 5ECh. 14.5 - Solve each triangle using the labels as shown in...Ch. 14.5 - Prob. 7ECh. 14.5 - Prob. 8ECh. 14.5 - Prob. 9ECh. 14.5 - Prob. 10ECh. 14.5 - Prob. 11ECh. 14.5 - Prob. 12ECh. 14.5 - Prob. 13ECh. 14.5 - a. Find angles A and ABC in the roof in...Ch. 14.5 - Prob. 15ECh. 14.5 - Prob. 16ECh. 14.5 - A plane flies 70.0 mi due north from its base...Ch. 14.5 - Prob. 18ECh. 14.5 - Prob. 19ECh. 14.5 - Prob. 20ECh. 14.5 - A room is shaped like a kite. The lengths of two...Ch. 14.5 - Prob. 22ECh. 14.5 - Prob. 23ECh. 14.5 - In the framework shown in Illustration 8, we know...Ch. 14.5 - Prob. 25ECh. 14.5 - Prob. 26ECh. 14.5 - Prob. 27ECh. 14.5 - Prob. 28ECh. 14.5 - An 8.00-ft antenna must be mounted on the roof of...Ch. 14.5 - Prob. 30ECh. 14.5 - Prob. 31ECh. 14.5 - A game preserve manager is fencing the triangular...Ch. 14 - Find each value rounded to four significant...Ch. 14 - Find each value rounded to four significant...Ch. 14 - Prob. 3RCh. 14 - Prob. 4RCh. 14 - Prob. 5RCh. 14 - Find the period and amplitude, and graph at least...Ch. 14 - Prob. 7RCh. 14 - Find the period, amplitude, and phase shift, and...Ch. 14 - Prob. 9RCh. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Find a. angle B and b. length x in Illustration 2....Ch. 14 - The centers of five holes are equally spaced...Ch. 14 - In the roof truss in Illustration 3, AB=DE,BC=CD,...Ch. 14 - Find each value rounded to four significant...Ch. 14 - Find each value rounded to four significant...Ch. 14 - Find the period, amplitude, and phase shift, and...Ch. 14 - Find angle B in Illustration 1 ILLUSTRATION 1Ch. 14 - Find angle C in Illustration1. ILLUSTRATION 1Ch. 14 - Find side c in Illustration 1. ILLUSTRATION 1Ch. 14 - Find angle C in Illustration 2. ILLUSTRATION 2Ch. 14 - Find angle B in Illustration 2. ILLUSTRATION 2Ch. 14 - Find angle A in Illustration 2. ILLUSTRATION 2Ch. 14 - Find the length of the rafter shown in...Ch. 14 - Prob. 11TCh. 14 - Prob. 1CRCh. 14 - Prob. 2CRCh. 14 - Prob. 3CRCh. 14 - Prob. 4CRCh. 14 - Prob. 5CRCh. 14 - Prob. 6CRCh. 14 - Prob. 7CRCh. 14 - Prob. 8CRCh. 14 - Prob. 9CRCh. 14 - Prob. 10CRCh. 14 - Prob. 11CRCh. 14 - Solve: 7xy=414x2y=8Ch. 14 - Prob. 13CRCh. 14 - Prob. 14CRCh. 14 - Prob. 15CRCh. 14 - Prob. 16CRCh. 14 - Prob. 17CRCh. 14 - Prob. 18CRCh. 14 - Prob. 19CRCh. 14 - Find tan67.2 rounded to four significant digits.Ch. 14 - Prob. 21CRCh. 14 - Prob. 22CRCh. 14 - Prob. 23CRCh. 14 - Prob. 24CRCh. 14 - Prob. 25CRCh. 14 - Prob. 26CRCh. 14 - Prob. 27CRCh. 14 - Prob. 28CRCh. 14 - Prob. 29CRCh. 14 - Prob. 30CR
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