Elementary Technical Mathematics
11th Edition
ISBN: 9781285199191
Author: Dale Ewen, C. Robert Nelson
Publisher: Cengage Learning
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Chapter 15.14, Problem 13E
To determine
To calculate: The probability of having a
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Client
1
Weight before
diet (pounds)
Weight after
diet (pounds)
128
120
2
131
123
3
140
141
4
178
170
5
121
118
6
136
136
7
118
121
8
136
127
a) Determine the mean change in patient weight from before to after the
diet (after – before). What is the 95% confidence interval of this mean
difference?
You manage a chemical company with 2 warehouses. The following quantities of
Important Chemical A have arrived from an international supplier at 3 different
ports:
Chemical Available (L)
Port 1
Port 2
Port 3
400
110
100
The following amounts of Important Chemical A are required at your warehouses:
Warehouse 1
Warehouse 2
Chemical Required (L)
380
230
The cost in £ to ship 1L of chemical from each port to each warehouse is as follows:
Warehouse 1 Warehouse 2
Port 1
£10
£45
Port 2
£20
£28
Port 3
£13
£11
(a) You want to know how to send these shipments as cheaply as possible. For-
mulate this as a linear program (you do not need to formulate it in standard
inequality form) indicating what each variable represents.
a) Suppose that we are carrying out the 1-phase simplex algorithm on a linear program in
standard inequality form (with 3 variables and 4 constraints) and suppose that we have
reached a point where we have obtained the following tableau. Apply one more pivot
operation, indicating the highlighted row and column and the row operations you carry
out. What can you conclude from your updated tableau?
x1 12 23
81
82
83
S4
$1
-20
1 1
0
0
0
3
82
3 0
-2
0
1
2
0
6
12
1
1
-3
0
0
1
0
2
84
-3 0
2
0
0
-1 1 4
2
-2
0 11
0
0
-4
0
-8
b) Solve the following linear program using the 2-phase simplex algorithm. You should give
the initial tableau and each further tableau produced during the execution of the
algorithm. If the program has an optimal solution, give this solution and state its
objective value. If it does not have an optimal solution, say why.
maximize 21 - - 2x2 + x3 - 4x4
subject to 2x1+x22x3x4≥ 1,
5x1+x2-x3-4 -1,
2x1+x2-x3-342,
1, 2, 3, 4 ≥0.
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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