Elementary Technical Mathematics
11th Edition
ISBN: 9781285199191
Author: Dale Ewen, C. Robert Nelson
Publisher: Cengage Learning
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Textbook Question
Chapter 13.2, Problem 15E
Using Illustration 1, find the measure of each acute angle for each right triangle:
ILLUSTRATION 1
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rounded to two decimal places at each calculation
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).
Excel File: data05-23.xls
Number of Cups
per Day
Number of
Responses
0
365
264
193
2
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
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…
A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types of malfunctions occur at about the same frequency.
Develop a probability distribution for the duration of a service call.
Duration of Call
x
f(x)
1
2
3
4
Which of the following probability distribution graphs accurately represents the data set?
Consider the required conditions for a discrete probability function, shown below.Does this probability distribution satisfy equation (5.1)?Does this probability distribution satisfy equation (5.2)?
What is the probability a service call will take three hours?
A service call has just come in, but the type of malfunction is unknown. It is 3:00 P.M. and service technicians usually get off at 5:00 P.M. What is the probability the service technician will have to work overtime to fix the machine today?
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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