Elementary Technical Mathematics
11th Edition
ISBN: 9781285199191
Author: Dale Ewen, C. Robert Nelson
Publisher: Cengage Learning
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Chapter 13, Problem 22R
A ranger at the top of a fire tower observes the angle of depression to a fire on level ground to be
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Suppose the number of people who register to attend the Tucson Festival of Books can be modeled by P(t) = k(1.1),
where t is the number of days since the registration window opened. Assume k is a positive constant.
Which of the following represents how long it will take in days for the number of people who register to double?
t =
In(1.1)
In(2)
In(2)
t =
In(1.1)
In(1.1)
t =
t =
t =
In(2) - In(k)
In(2)
In(k) + In(1.1)
In(2) - In(k)
In(1.1)
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.
blank
c. What is the probability that a…
Chapter 13 Solutions
Elementary Technical Mathematics
Ch. 13.1 - Refer to right triangle ABC in Illustration 1 for...Ch. 13.1 - Refer to right triangle ABC in Illustration 1 for...Ch. 13.1 - Refer to right triangle ABC in Illustration 1 for...Ch. 13.1 - Refer to right triangle ABC in Illustration 1 for...Ch. 13.1 - Prob. 5ECh. 13.1 - Refer to right triangle ABC in Illustration 1 for...Ch. 13.1 - Prob. 7ECh. 13.1 - Refer to right triangle ABC in Illustration 1 for...Ch. 13.1 - Prob. 9ECh. 13.1 - Refer to right triangle ABC in Illustration 1 for...
Ch. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Prob. 13ECh. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Prob. 15ECh. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Prob. 17ECh. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Prob. 20ECh. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Prob. 23ECh. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Use the triangle in Illustration 2 for Exercises...Ch. 13.1 - Use the triangle in Illustration 2 for Exercises...Ch. 13.1 - Prob. 27ECh. 13.1 - Use the triangle in Illustration 2 for Exercises...Ch. 13.1 - Prob. 29ECh. 13.1 - Use the triangle in Illustration 2 for Exercises...Ch. 13.1 - Prob. 31ECh. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Prob. 33ECh. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Prob. 37ECh. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Prob. 41ECh. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Prob. 43ECh. 13.1 - Prob. 44ECh. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Prob. 46ECh. 13.1 - Prob. 47ECh. 13.1 - Prob. 48ECh. 13.1 - Find each angle rounded to the nearest tenth of a...Ch. 13.1 - Find each angle rounded to the nearest tenth of a...Ch. 13.1 - Prob. 51ECh. 13.1 - Find each angle rounded to the nearest tenth of a...Ch. 13.1 - Prob. 53ECh. 13.1 - Find each angle rounded to the nearest tenth of a...Ch. 13.1 - Prob. 55ECh. 13.1 - Find each angle rounded to the nearest tenth of a...Ch. 13.1 - Prob. 57ECh. 13.1 - Prob. 58ECh. 13.1 - Prob. 59ECh. 13.1 - Prob. 60ECh. 13.1 - Prob. 61ECh. 13.1 - Prob. 62ECh. 13.1 - Find each angle rounded to the nearest hundredth...Ch. 13.1 - Prob. 64ECh. 13.1 - Find each angle rounded to the nearest hundredth...Ch. 13.1 - Prob. 66ECh. 13.1 - Find each angle rounded to the nearest hundredth...Ch. 13.1 - Prob. 68ECh. 13.1 - Prob. 69ECh. 13.1 - Prob. 70ECh. 13.1 - Prob. 71ECh. 13.1 - Prob. 72ECh. 13.1 - Prob. 73ECh. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Prob. 5ECh. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Prob. 7ECh. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Prob. 9ECh. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Prob. 17ECh. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Prob. 19ECh. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Prob. 21ECh. 13.2 - Prob. 22ECh. 13.2 - Prob. 23ECh. 13.2 - Prob. 24ECh. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Prob. 11ECh. 13.3 - Prob. 12ECh. 13.3 - Prob. 13ECh. 13.3 - Prob. 14ECh. 13.3 - Prob. 15ECh. 13.3 - Prob. 16ECh. 13.3 - Prob. 17ECh. 13.3 - Prob. 18ECh. 13.3 - Prob. 19ECh. 13.3 - Prob. 20ECh. 13.3 - Prob. 21ECh. 13.3 - Prob. 22ECh. 13.3 - Prob. 23ECh. 13.3 - Prob. 24ECh. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Prob. 3ECh. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Prob. 9ECh. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Prob. 11ECh. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Prob. 13ECh. 13.4 - Prob. 14ECh. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Prob. 16ECh. 13.4 - Prob. 17ECh. 13.4 - Prob. 18ECh. 13.4 - Prob. 19ECh. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Prob. 21ECh. 13.4 - Prob. 22ECh. 13.4 - Prob. 23ECh. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.5 - A conveyor is used to lift paper to a shredder....Ch. 13.5 - A bullet is found embedded in the wall of a room...Ch. 13.5 - The recommended safety angle of a ladder against a...Ch. 13.5 - A piece of conduit 38.0 ft long is placed across...Ch. 13.5 - Find the width of the river in Illustration 4....Ch. 13.5 - Prob. 7ECh. 13.5 - A smokestack is 180 ft high. A guy wire must be...Ch. 13.5 - A railroad track has an angle of elevation of 1.0....Ch. 13.5 - Prob. 10ECh. 13.5 - Enrico has to draft a triangular roof to a house....Ch. 13.5 - A small plane takes off from an airport and begins...Ch. 13.5 - A gauge is used to check the diameter of a crank-...Ch. 13.5 - Round metal duct runs alongside some stairs from...Ch. 13.5 - The cables attached to a TV relay tower are 110 m...Ch. 13.5 - Prob. 16ECh. 13.5 - Prob. 17ECh. 13.5 - Prob. 18ECh. 13.5 - Use the right triangle in Illustration 13: a. Find...Ch. 13.5 - Prob. 20ECh. 13.5 - Twelve equally spaced holes must be drilled on a...Ch. 13.5 - Dimension x in the dovetail shown in Illustration...Ch. 13.5 - Find angle of the taper in Illustration 17....Ch. 13.5 - You need to use a metal screw with a head angle of...Ch. 13.5 - Prob. 25ECh. 13.5 - Prob. 26ECh. 13.5 - Find length x and angle A in Illustration 21....Ch. 13.5 - From the base of a building, measure out a...Ch. 13.5 - A mechanical draftsperson needs to find the...Ch. 13.5 - Prob. 30ECh. 13.5 - Prob. 31ECh. 13.5 - Prob. 32ECh. 13.5 - Solar heating and electric panels should face the...Ch. 13.5 - A lean-to is a simple shelter with three walls, a...Ch. 13 - For Exercises 1-7, see Illustration 1....Ch. 13 - For Exercises 1-7, see Illustration 1....Ch. 13 - Prob. 3RCh. 13 - For Exercises 1-7, see Illustration 1....Ch. 13 - Prob. 5RCh. 13 - Prob. 6RCh. 13 - Prob. 7RCh. 13 - Find the value of each trigonometric ratio rounded...Ch. 13 - Find the value of each trigonometric ratio rounded...Ch. 13 - Find the value of each trigonometric ratio rounded...Ch. 13 - Find each angle rounded to the nearest tenth of a...Ch. 13 - Find each angle rounded to the nearest tenth of a...Ch. 13 - Find each angle rounded to the nearest tenth of a...Ch. 13 - Find angle A in Illustration 2. ILLUSTRATION 2Ch. 13 - Find angle B in Illustration 2. ILLUSTRATION 2Ch. 13 - Find side b in Illustration3. ILLUSTRATION 3Ch. 13 - Prob. 17RCh. 13 - Prob. 18RCh. 13 - Solve each right triangle:Ch. 13 - Prob. 20RCh. 13 - A satellite is directly overhead one observer...Ch. 13 - A ranger at the top of a fire tower observes the...Ch. 13 - Find the angle of slope of the symmetrical roof in...Ch. 13 - Find the value of each trigonometric ratio rounded...Ch. 13 - Find the value of each trigonometric ratio rounded...Ch. 13 - Find the value of each trigonometric ratio rounded...Ch. 13 - Find each angle rounded to the nearest tenth of a...Ch. 13 - Find each angle rounded to the nearest tenth of a...Ch. 13 - Find each angle rounded to the nearest tenth of a...Ch. 13 - Find angle B Illustration 1. ILLUSTRATION 1Ch. 13 - Find side a Illustration 1. ILLUSTRATION 1Ch. 13 - Find side c Illustration 1. ILLUSTRATION 1Ch. 13 - Find angle A Illustration 2. ILLUSTRATION 2Ch. 13 - Find angle B Illustration 2. ILLUSTRATION 2Ch. 13 - Find side b Illustration 2. ILLUSTRATION 2Ch. 13 - A tower 50.0 ft high has a guy wire that is...Ch. 13 - Find length x in the retaining wall in...Ch. 13 - Find angle A in the retaining wall in Illustration...
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- 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 yeararrow_forwardFor 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. c. What is the probability that a person…arrow_forwardIn 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). Excel File: data05-23.xls Number of Cups per Day Number of Responses 0 365 264 193 3 4 or more 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. Round your answers to four decimal places. a. Develop a probability distribution for x. x 0 1 2 3 4 f(x) b. Compute the expected value of x. cups of coffee c. Compute the variance of x. cups of coffee squared d. Suppose we are only interested in adults that 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. Compare it to the expected value of x. The…arrow_forward
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