Elementary Technical Mathematics
11th Edition
ISBN: 9781285199191
Author: Dale Ewen, C. Robert Nelson
Publisher: Cengage Learning
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Chapter 15, Problem 7T
To determine
The power output provided that the power gain is
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LARLINALG8 7.2.001.
1. [-/2.85 Points]
Consider the following.
-14 60
A =
[
-4-5
P =
-3 13
-1 -1
(a) Verify that A is diagonalizable by computing P-1AP.
P-1AP =
具首
(b) Use the result of part (a) and the theorem below to find the eigenvalues of A.
Similar Matrices Have the Same Eigenvalues
If A and B are similar n x n matrices, then they have the same eigenvalues.
(11, 12) =
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LARLINALG8 7.2.007.
For the matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. (If not possible, enter IMPOSSIBLE.)
P =
A =
12 -3
-4
1
Verify that P-1AP is a diagonal matrix with the eigenvalues on the main diagonal.
P-1AP =
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Calculus lll
May I please have the all properties of the dot product?
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H.w: Find the Eigen vectors for the largest Eigen
value of the system
X1+ +2x3=0
3x1-2x2+x3=0
4x1+ +3x3=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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- [) Hwk 25 → C Hwk 27 - (MA 244-03) (SP25) IN X Answered: [) Hwk 25 4. [-/4 Poir X + https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=36606606&tags=autosave#question3706544_6 3. [-/2.85 Points] DETAILS MY NOTES LARLINALG8 7.1.021. Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 2 -2 5 0 3 -2 0-1 2 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (1, 2, 13) = ·( ) a basis for each of the corresponding eigenspaces X1 x2 = x3 = Need Help? Read It Watch It SUBMIT ANSWER 4. [-/2.85 Points] DETAILS MY NOTES LARLINALG8 7.1.041. Find the eigenvalues of the triangular or diagonal matrix. (Enter your answers as a comma-separated list.) λ= 1 0 1 045 002 Need Help? Read It ASK YOUR TEACHER PRACTICE ANOTHER ASK YOUR TEACHER PRACTICE ANOTHER illarrow_forwardons 12. A sociologist hypothesizes that the crime rate is higher in areas with higher poverty rate and lower median income. She col- lects data on the crime rate (crimes per 100,000 residents), the poverty rate (in %), and the median income (in $1,000s) from 41 New England cities. A portion of the regression results is shown in the following table. Standard Coefficients error t stat p-value Intercept -301.62 549.71 -0.55 0.5864 Poverty 53.16 14.22 3.74 0.0006 Income 4.95 8.26 0.60 0.5526 a. b. Are the signs as expected on the slope coefficients? Predict the crime rate in an area with a poverty rate of 20% and a median income of $50,000. 3. Using data from 50 workarrow_forward2. The owner of several used-car dealerships believes that the selling price of a used car can best be predicted using the car's age. He uses data on the recent selling price (in $) and age of 20 used sedans to estimate Price = Po + B₁Age + ε. A portion of the regression results is shown in the accompanying table. Standard Coefficients Intercept 21187.94 Error 733.42 t Stat p-value 28.89 1.56E-16 Age -1208.25 128.95 -9.37 2.41E-08 a. What is the estimate for B₁? Interpret this value. b. What is the sample regression equation? C. Predict the selling price of a 5-year-old sedan.arrow_forward
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