Elementary Technical Mathematics
11th Edition
ISBN: 9781285199191
Author: Dale Ewen, C. Robert Nelson
Publisher: Cengage Learning
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Textbook Question
Chapter 15.14, Problem 1E
A bag contains 1 red marble, 1 blue marble, 1 green marble, and 1 white marble. What is the probability of drawing 1 red marble, replacing it, and then drawing a red marble again?
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3) Let R be a set of real number and d:R2 R R such that
d((x, y), (z, w)) = √(x-2)² + (y-w)² show that d is a metric on R².H.W
Use a graph of f to estimate lim f(x) or to show that the limit does not exist. Evaluate f(x) near x = a to support your conjecture. Complete parts (a) and (b).
x-a
f(x)=
1 - cos (4x-4)
3(x-1)²
; a = 1
a. Use a graphing utility to graph f. Select the correct graph below..
A.
W
→
✓
Each graph is displayed in a [- 1,3] by [0,5] window.
B.
in
✓
○ C.
und
☑
Use the graphing utility to estimate lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
x-1
○ A. The limit appears to be approximately ☐ .
(Round to the nearest tenth as needed.)
B. The limit does not exist.
b. Evaluate f(x) for values of x near 1 to support your conjecture.
X
0.9
0.99
0.999
1.001
1.01
1.1
f(x)
○ D.
+
☑
(Round to six decimal places as needed.)
Does the table from the previous step support your conjecture?
A. No, it does not. The function f(x) approaches a different value in the table of values than in the graph, after the approached values are rounded to the…
x²-19x+90
Let f(x) =
.
Complete parts (a) through (c) below.
x-a
a. For what values of a, if any, does lim f(x) equal a finite number? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
x→a+
○ A.
a=
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
B. There are no values of a for which the limit equals a finite number.
b. For what values of a, if any, does lim f(x) = ∞o? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
x→a+
A.
(Type integers or simplified fractions)
C. There are no values of a that satisfy lim f(x) = ∞.
+
x-a
c. For what values of a, if any, does lim f(x) = -∞0? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
x→a+
A. Either a
(Type integers or simplified fractions)
B.
Chapter 15 Solutions
Elementary Technical Mathematics
Ch. 15.1 - Prob. 1ECh. 15.1 - Prob. 2ECh. 15.1 - Prob. 3ECh. 15.1 - Prob. 4ECh. 15.1 - Prob. 5ECh. 15.1 - Prob. 6ECh. 15.1 - Prob. 7ECh. 15.1 - Prob. 8ECh. 15.1 - Prob. 9ECh. 15.1 - Prob. 10E
Ch. 15.1 - Find the following information from Illustration...Ch. 15.1 - Find the following information from Illustration...Ch. 15.1 - Find the following information from Illustration...Ch. 15.1 - Find the following information from Illustration...Ch. 15.1 - Find the following information from Illustration...Ch. 15.1 - Find the following information from Illustration...Ch. 15.1 - Find the following information from Illustration...Ch. 15.1 - Find the following information from Illustration...Ch. 15.1 - Find the following information from Illustration...Ch. 15.1 - Find the following information from Illustration...Ch. 15.1 - A survey of 100 families was taken to find the...Ch. 15.1 - Illustration 3 shows the average text scores on...Ch. 15.1 - Prob. 23ECh. 15.1 - Prob. 24ECh. 15.1 - Prob. 25ECh. 15.2 - Find 26% of 360.Ch. 15.2 - Find 52% of 360Ch. 15.2 - Prob. 3ECh. 15.2 - Find 37.1% of 360Ch. 15.2 - Prob. 5ECh. 15.2 - Find 47.7% of 360Ch. 15.2 - Of 744 students, 452 are taking mathematics. What...Ch. 15.2 - Of 2017 students, 189 are taking technical...Ch. 15.2 - Prob. 9ECh. 15.2 - Candidate A was one of four candidates in an...Ch. 15.2 - A department spends $16,192 of its $182,100 budget...Ch. 15.2 - In June, the sales of an automobile dealership...Ch. 15.2 - Draw a circle graph for Exercises 13-20: United...Ch. 15.2 - Draw a circle graph for Exercises 13-20: United...Ch. 15.2 - The suggested semester credit-hour requirements...Ch. 15.2 - A company interviewed its 473 employees to find...Ch. 15.2 - Prob. 17ECh. 15.2 - Prob. 18ECh. 15.2 - Prob. 19ECh. 15.2 - Prob. 20ECh. 15.3 - The data in Illustration 1 are from the records of...Ch. 15.3 - An inspector recorded the number of faulty...Ch. 15.3 - Illustration 3 lists the 6months sales performance...Ch. 15.3 - A technician is often asked to read graphs drawn...Ch. 15.3 - A technician is often asked to read graphs drawn...Ch. 15.3 - A technician is often asked to read graphs drawn...Ch. 15.3 - A technician is often asked to read graphs drawn...Ch. 15.3 - A technician is often asked to read graphs drawn...Ch. 15.3 - A hygrothermograph is used by the weather services...Ch. 15.3 - A hygrothermograph is used by the weather services...Ch. 15.3 - Prob. 11ECh. 15.3 - A hygrothermograph is used by the weather services...Ch. 15.3 - A hygrothermograph is used by the weather services...Ch. 15.3 - A hygrothermograph is used by the weather services...Ch. 15.3 - According to National Oceanic and Atmospheric...Ch. 15.4 - Use Figure 15.6 to find the answers for Exercises...Ch. 15.4 - Use Figure 15.6 to find the answers for Exercises...Ch. 15.4 - Use Figure 15.6 to find the answers for Exercises...Ch. 15.4 - Use Figure 15.6 to find the answers for Exercises...Ch. 15.4 - Use Figure 15.6 to find the answers for Exercises...Ch. 15.4 - Use Figure 15.7 to find the answers for Exercises...Ch. 15.4 - Use Figure 15.7 to find the answers for Exercises...Ch. 15.4 - Use Figure 15.7 to find the answers for Exercises...Ch. 15.4 - Prob. 9ECh. 15.4 - Prob. 10ECh. 15.5 - Find the mean measurement for each set of...Ch. 15.5 - Find the mean measurement for each set of...Ch. 15.5 - Prob. 3ECh. 15.5 - Find the mean measurement for each set of...Ch. 15.5 - Prob. 5ECh. 15.5 - Find the mean measurement for each set of...Ch. 15.5 - Prob. 7ECh. 15.5 - Find the mean measurement for each set of...Ch. 15.5 - Prob. 9ECh. 15.5 - Find the mean measurement for each set of...Ch. 15.5 - Prob. 11ECh. 15.5 - Find the mean measurement for each set of...Ch. 15.5 - Find the mean measurement for each set of...Ch. 15.5 - Find the mean measurement for each set of...Ch. 15.5 - The mileage on six vehicles leased for 1 year was...Ch. 15.5 - A trucking company had hauls of 2018 km, 2101 km,...Ch. 15.5 - Over an 8day period of time the high temperature...Ch. 15.5 - A pharmacist weighed ten different capsules of the...Ch. 15.5 - A technician measured the power usage of six...Ch. 15.5 - A trucking company had seven items with the...Ch. 15.5 - Prob. 21ECh. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - Prob. 3ECh. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - Prob. 5ECh. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - Prob. 7ECh. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - Prob. 9ECh. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - Prob. 11ECh. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - Prob. 13ECh. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - Prob. 17ECh. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - Prob. 19ECh. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - Prob. 21ECh. 15.6 - Find the following percentiles for the data listed...Ch. 15.6 - Prob. 23ECh. 15.6 - Prob. 24ECh. 15.6 - Prob. 25ECh. 15.6 - Prob. 26ECh. 15.6 - Find the mode for each set of measurements in...Ch. 15.6 - Prob. 28ECh. 15.6 - Prob. 29ECh. 15.6 - Prob. 30ECh. 15.6 - Prob. 31ECh. 15.6 - Prob. 32ECh. 15.6 - Prob. 33ECh. 15.6 - Find the mode for each set of measurements in...Ch. 15.6 - Prob. 35ECh. 15.6 - Find the mode for each set of measurements in...Ch. 15.6 - The cross section of the oak tree mentioned in the...Ch. 15.6 - Prob. 38ECh. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - Prob. 3ECh. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - Prob. 5ECh. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - Prob. 9ECh. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - Prob. 11ECh. 15.7 - Prob. 12ECh. 15.7 - Prob. 13ECh. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - Prob. 16ECh. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - Prob. 20ECh. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - Prob. 31ECh. 15.7 - Prob. 32ECh. 15.7 - Prob. 33ECh. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - Prob. 36ECh. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - Prob. 38ECh. 15.7 - Prob. 39ECh. 15.7 - Prob. 40ECh. 15.8 - From the following grouped data, find the mean....Ch. 15.8 - Make a frequency distribution of the following...Ch. 15.8 - A laboratory technician records the life span (in...Ch. 15.8 - The life expectancy of a fluorescent light bulb is...Ch. 15.8 - The shipment times in hours for a load of goods...Ch. 15.8 - The cost of goods stolen from a department store...Ch. 15.8 - The number of passengers and their luggage weight...Ch. 15.8 - The income of the residents in a neighborhood was...Ch. 15.8 - The number of defective parts per shipment has...Ch. 15.8 - The following dollar amounts are traffic fines...Ch. 15.8 - The length of hospital stays for patients at a...Ch. 15.8 - The frequency of repair for the trucks owned by a...Ch. 15.8 - The scores that golfers shot on 18 holes at a...Ch. 15.8 - The corn yield in bushels per acre for a certain...Ch. 15.8 - The following are the squad sizes of the football...Ch. 15.8 - Prob. 16ECh. 15.9 - 1-16. Find the sample standard deviation for each...Ch. 15.9 - Prob. 2ECh. 15.9 - Prob. 3ECh. 15.9 - 1-16. Find the sample standard deviation for each...Ch. 15.9 - Prob. 5ECh. 15.9 - 1-16. Find the sample standard deviation for each...Ch. 15.9 - Prob. 7ECh. 15.9 - Prob. 8ECh. 15.9 - Prob. 9ECh. 15.9 - Prob. 10ECh. 15.9 - Prob. 11ECh. 15.9 - Prob. 12ECh. 15.9 - Prob. 13ECh. 15.9 - Prob. 14ECh. 15.9 - Prob. 15ECh. 15.9 - 1-16. Find the sample standard deviation for each...Ch. 15.9 - Measuring the annual tree rings for the 100 +...Ch. 15.10 - A certain manufacturing process has a target value...Ch. 15.10 - The illumination of a light bulb is targeted at...Ch. 15.11 - In Exercises 14, draw a histogram for the data...Ch. 15.11 - In Exercises 14, draw a histogram for the data...Ch. 15.11 - In Exercises 14, draw a histogram for the data...Ch. 15.11 - In Exercises 14, draw a histogram for the data...Ch. 15.11 - Use the data displayed in Table 15.1 on page 489...Ch. 15.11 - Prob. 6ECh. 15.11 - Prob. 7ECh. 15.11 - Precision Manufacturing produces 20,000 machine...Ch. 15.11 - Prob. 9ECh. 15.11 - Prob. 10ECh. 15.11 - Prob. 11ECh. 15.11 - In Exercises 912, a. Draw a scattergram for the...Ch. 15.12 - Given a normal distribution with a mean of 85 and...Ch. 15.12 - Given the 20 numbers 32, 34, 35, 41, 42, 43, 44,...Ch. 15.12 - In Exercises 36, use the frequency distribution to...Ch. 15.12 - In Exercises 36, use the frequency distribution to...Ch. 15.12 - In Exercises 36, use the frequency distribution to...Ch. 15.12 - Prob. 6ECh. 15.12 - Prob. 7ECh. 15.12 - A trouser manufacturer has an order for 80,000...Ch. 15.13 - Prob. 1ECh. 15.13 - Prob. 2ECh. 15.13 - Prob. 3ECh. 15.13 - Prob. 4ECh. 15.13 - Prob. 5ECh. 15.13 - Prob. 6ECh. 15.13 - Prob. 7ECh. 15.13 - Prob. 8ECh. 15.13 - Prob. 9ECh. 15.13 - From the sample space in Exercise 1, what is the...Ch. 15.13 - Prob. 11ECh. 15.13 - Prob. 12ECh. 15.13 - Prob. 13ECh. 15.13 - Prob. 14ECh. 15.13 - Prob. 15ECh. 15.13 - A bag contains 6 red and 4 white marbles. One...Ch. 15.13 - Prob. 17ECh. 15.13 - In a classroom, there are 18 female students and 7...Ch. 15.14 - A bag contains 1 red marble, 1 blue marble, 1...Ch. 15.14 - A card is chosen from a deck of 52 cards. It is...Ch. 15.14 - Prob. 3ECh. 15.14 - A large box of vegetables contains 4 tomatoes, 3...Ch. 15.14 - Prob. 5ECh. 15.14 - A card is chosen from a deck of cards and placed...Ch. 15.14 - Prob. 7ECh. 15.14 - A card is drawn and replaced four times from a...Ch. 15.14 - A card is drawn and replaced four times from a...Ch. 15.14 - A pair of dice is rolled. What is the probability...Ch. 15.14 - Prob. 11ECh. 15.14 - Prob. 12ECh. 15.14 - Prob. 13ECh. 15.14 - Prob. 14ECh. 15.14 - Prob. 15ECh. 15.14 - Prob. 16ECh. 15 - Prob. 1RCh. 15 - Find 56.1% of 360.Ch. 15 - Prob. 3RCh. 15 - Prob. 4RCh. 15 - Prob. 5RCh. 15 - For Exercises 68, use the following data. A...Ch. 15 - For Exercises 68, use the following data. A...Ch. 15 - For Exercises 68, use the following data. A...Ch. 15 - Given the frequency distribution in Illustration...Ch. 15 - For Exercises 1012, use the data below. A students...Ch. 15 - Prob. 11RCh. 15 - For Exercises 1012, use the data below. A students...Ch. 15 - Prob. 13RCh. 15 - Prob. 14RCh. 15 - Prob. 15RCh. 15 - A bag contains 4 white marbles, 3 red marbles, 1...Ch. 15 - See Illustration 1. What country has the longest...Ch. 15 - See Illustration 1. What country has a life...Ch. 15 - Prob. 3TCh. 15 - Prob. 4TCh. 15 - Prob. 5TCh. 15 - Prob. 6TCh. 15 - Prob. 7TCh. 15 - See Illustration 2. What is the power gain when...Ch. 15 - Prob. 9TCh. 15 - Prob. 10TCh. 15 - Prob. 11TCh. 15 - For Exercises 1214, use the data in Illustration...Ch. 15 - For Exercises 1214, use the data in Illustration...Ch. 15 - For Exercises 1214, use the data in Illustration...Ch. 15 - Prob. 15TCh. 15 - Find the sample standard deviation for each set of...
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