EBK BUSINESS MATH
11th Edition
ISBN: 8220103632072
Author: NOBLE
Publisher: Pearson Education (US)
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Chapter 10, Problem 4CS2
To determine
To calculate: The net pay of the caregiver if his pay per hour is
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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
[)
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C
Hwk 27 - (MA 244-03) (SP25) IN X
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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 =
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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
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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 work
Chapter 10 Solutions
EBK BUSINESS MATH
Ch. 10.1 - Prob. 1-1SCCh. 10.1 - Prob. 1-2SCCh. 10.1 - Prob. 1-3SCCh. 10.1 - Prob. 1-4SCCh. 10.1 - Prob. 2-1SCCh. 10.1 - Prob. 2-2SCCh. 10.1 - Prob. 2-3SCCh. 10.1 - Prob. 2-4SCCh. 10.1 - Prob. 2-5SCCh. 10.1 - Prob. 2-6SC
Ch. 10.1 - Prob. 3-1SCCh. 10.1 - Prob. 3-2SCCh. 10.1 - Prob. 3-3SCCh. 10.1 - Prob. 3-4SCCh. 10.1 - Prob. 4-1SCCh. 10.1 - Prob. 4-2SCCh. 10.1 - Prob. 4-3SCCh. 10.1 - Prob. 4-4SCCh. 10.1 - Prob. 1SECh. 10.1 - Prob. 2SECh. 10.1 - Prob. 3SECh. 10.1 - Prob. 4SECh. 10.1 - Prob. 5SECh. 10.1 - Prob. 6SECh. 10.1 - Prob. 7SECh. 10.1 - Prob. 8SECh. 10.1 - Prob. 9SECh. 10.1 - Prob. 10SECh. 10.1 - Prob. 11SECh. 10.1 - Prob. 12SECh. 10.1 - Prob. 13SECh. 10.1 - Prob. 14SECh. 10.1 - Prob. 15SECh. 10.1 - Prob. 16SECh. 10.1 - Prob. 17SECh. 10.1 - Prob. 18SECh. 10.2 - Prob. 1-1SCCh. 10.2 - Prob. 1-2SCCh. 10.2 - Prob. 1-3SCCh. 10.2 - Prob. 1-4SCCh. 10.2 - Prob. 2-1SCCh. 10.2 - Prob. 2-2SCCh. 10.2 - Prob. 2-3SCCh. 10.2 - Prob. 2-4SCCh. 10.2 - Prob. 3-1SCCh. 10.2 - Prob. 3-2SCCh. 10.2 - Prob. 3-3SCCh. 10.2 - Prob. 3-4SCCh. 10.2 - Prob. 4-1SCCh. 10.2 - Prob. 4-2SCCh. 10.2 - Prob. 4-3SCCh. 10.2 - Prob. 4-4SCCh. 10.2 - Prob. 1SECh. 10.2 - Prob. 2SECh. 10.2 - Prob. 3SECh. 10.2 - Prob. 4SECh. 10.2 - Prob. 5SECh. 10.2 - Prob. 6SECh. 10.2 - Prob. 7SECh. 10.2 - Prob. 8SECh. 10.2 - Prob. 9SECh. 10.2 - Prob. 10SECh. 10.2 - Prob. 11SECh. 10.2 - Prob. 12SECh. 10.2 - Prob. 13SECh. 10.2 - Prob. 14SECh. 10.3 - Prob. 1-1SCCh. 10.3 - Prob. 1-2SCCh. 10.3 - Prob. 1-3SCCh. 10.3 - Prob. 1-4SCCh. 10.3 - Prob. 2-1SCCh. 10.3 - Prob. 2-2SCCh. 10.3 - Prob. 2-3SCCh. 10.3 - Prob. 2-4SCCh. 10.3 - Prob. 1SECh. 10.3 - Prob. 2SECh. 10.3 - Prob. 3SECh. 10.3 - Prob. 4SECh. 10.3 - Prob. 5SECh. 10.3 - Prob. 6SECh. 10.3 - Prob. 7SECh. 10 - Prob. 1ESCh. 10 - Prob. 2ESCh. 10 - Prob. 3ESCh. 10 - Prob. 4ESCh. 10 - Prob. 5ESCh. 10 - Prob. 6ESCh. 10 - Prob. 7ESCh. 10 - Prob. 8ESCh. 10 - Prob. 9ESCh. 10 - Prob. 10ESCh. 10 - Prob. 11ESCh. 10 - Prob. 12ESCh. 10 - Prob. 13ESCh. 10 - Prob. 14ESCh. 10 - Prob. 15ESCh. 10 - Prob. 16ESCh. 10 - Prob. 17ESCh. 10 - Prob. 18ESCh. 10 - Prob. 19ESCh. 10 - Prob. 20ESCh. 10 - Prob. 21ESCh. 10 - Prob. 22ESCh. 10 - Prob. 23ESCh. 10 - Prob. 24ESCh. 10 - Prob. 25ESCh. 10 - Prob. 26ESCh. 10 - Prob. 27ESCh. 10 - Prob. 28ESCh. 10 - Prob. 29ESCh. 10 - Prob. 30ESCh. 10 - Prob. 31ESCh. 10 - Prob. 32ESCh. 10 - Prob. 33ESCh. 10 - Prob. 34ESCh. 10 - Prob. 35ESCh. 10 - Prob. 36ESCh. 10 - Prob. 37ESCh. 10 - Prob. 38ESCh. 10 - Prob. 39ESCh. 10 - Prob. 40ESCh. 10 - Prob. 41ESCh. 10 - Prob. 42ESCh. 10 - Prob. 43ESCh. 10 - Prob. 44ESCh. 10 - Prob. 45ESCh. 10 - Prob. 46ESCh. 10 - Prob. 47ESCh. 10 - Prob. 48ESCh. 10 - Prob. 49ESCh. 10 - Prob. 50ESCh. 10 - Prob. 51ESCh. 10 - Prob. 52ESCh. 10 - Prob. 53ESCh. 10 - Prob. 54ESCh. 10 - Prob. 1PTCh. 10 - Prob. 2PTCh. 10 - Prob. 3PTCh. 10 - Prob. 4PTCh. 10 - Prob. 5PTCh. 10 - Prob. 6PTCh. 10 - Prob. 7PTCh. 10 - Prob. 8PTCh. 10 - Prob. 9PTCh. 10 - Prob. 10PTCh. 10 - Prob. 11PTCh. 10 - Prob. 12PTCh. 10 - Prob. 13PTCh. 10 - Prob. 14PTCh. 10 - Prob. 15PTCh. 10 - Prob. 16PTCh. 10 - Prob. 17PTCh. 10 - Prob. 18PTCh. 10 - Prob. 19PTCh. 10 - Prob. 20PTCh. 10 - Prob. 21PTCh. 10 - Prob. 22PTCh. 10 - Prob. 23PTCh. 10 - Prob. 24PTCh. 10 - Prob. 25PTCh. 10 - Prob. 1CTCh. 10 - Prob. 2CTCh. 10 - Prob. 3CTCh. 10 - Prob. 4CTCh. 10 - Prob. 5CTCh. 10 - Prob. 6CTCh. 10 - Prob. 7CTCh. 10 - Prob. 8CTCh. 10 - Prob. 9CTCh. 10 - Prob. 10CTCh. 10 - Prob. 11CTCh. 10 - Prob. 1CPCh. 10 - Prob. 1CS1Ch. 10 - Prob. 2CS1Ch. 10 - Prob. 3CS1Ch. 10 - Prob. 4CS1Ch. 10 - Prob. 1CS2Ch. 10 - Prob. 2CS2Ch. 10 - Prob. 3CS2Ch. 10 - Prob. 4CS2Ch. 10 - Prob. 1CS3Ch. 10 - Prob. 2CS3Ch. 10 - Prob. 3CS3
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- 2. 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_forwardneed help with 5 and 6 pleasearrow_forwardian income of $50,000. erty rate of 13. Using data from 50 workers, a researcher estimates Wage = Bo+B,Education + B₂Experience + B3Age+e, where Wage is the hourly wage rate and Education, Experience, and Age are the years of higher education, the years of experience, and the age of the worker, respectively. A portion of the regression results is shown in the following table. ni ogolloo bash 1 Standard Coefficients error t stat p-value Intercept 7.87 4.09 1.93 0.0603 Education 1.44 0.34 4.24 0.0001 Experience 0.45 0.14 3.16 0.0028 Age -0.01 0.08 -0.14 0.8920 a. Interpret the estimated coefficients for Education and Experience. b. Predict the hourly wage rate for a 30-year-old worker with four years of higher education and three years of experience.arrow_forward
- 1. If a firm spends more on advertising, is it likely to increase sales? Data on annual sales (in $100,000s) and advertising expenditures (in $10,000s) were collected for 20 firms in order to estimate the model Sales = Po + B₁Advertising + ε. A portion of the regression results is shown in the accompanying table. Intercept Advertising Standard Coefficients Error t Stat p-value -7.42 1.46 -5.09 7.66E-05 0.42 0.05 8.70 7.26E-08 a. Interpret the estimated slope coefficient. b. What is the sample regression equation? C. Predict the sales for a firm that spends $500,000 annually on advertising.arrow_forward[) Hwk 25 4. [-/4 Points] Hwk 25 - (MA 244-03) (SP25) || X Answered: Homework#7 | bartle X + https://www.webassign.net/web/Student/Assignment-Responses/last?dep=36606604 DETAILS MY NOTES LARLINALG8 6.4.019. Use the matrix P to determine if the matrices A and A' are similar. -1 -1 12 9 '-[ ¯ ¯ ], ^ - [ _—2—2 _ ' ], ^' - [ ˜³ −10] P = 1 2 A = -20-11 A' -3-10 6 4 P-1 = Are they similar? Yes, they are similar. No, they are not similar. Need Help? Read It SUBMIT ANSWER P-1AP = 5. [-/4 Points] DETAILS MY NOTES LARLINALG8 6.4.023. Suppose A is the matrix for T: R³ - → R³ relative to the standard basis. Find the diagonal matrix A' for T relative to the basis B'. A' = -1 -2 0 A = -1 0 0 ' 0 02 B' = {(−1, 1, 0), (2, 1, 0), (0, 0, 1)} ☐☐☐ ↓ ↑ Need Help? Read It Update available →] - restart now ASK YOUR T Sync and save data { Sign In ill ↑ New tab HT New window N New private window +HP ASK YOUR T Bookmarks History Downloads > > HJ Passwords Add-ons and themes HA Print... HP Save page as... HS…arrow_forwardClarification: 1. f doesn’t have REAL roots2. f is a quadratic, so a≠0arrow_forward
- [J) Hwk 25 Hwk 25 - (MA 244-03) (SP25) || X Answered: Homework#7 | bartle X + https://www.webassign.net/web/Student/Assignment-Responses/last?dep=36606604 1. [-/4 Points] DETAILS MY NOTES Find the matrix A' for T relative to the basis B'. LARLINALG8 6.4.003. T: R² → R², T(x, y) = (x + y, 4y), B' = {(−4, 1), (1, −1)} A' = Need Help? Read It Watch It SUBMIT ANSWER 2. [-/4 Points] DETAILS MY NOTES LARLINALG8 6.4.007. Find the matrix A' for T relative to the basis B'. T: R³ → R³, T(x, y, z) = (x, y, z), B' = {(0, 1, 1), (1, 0, 1), (1, 1, 0)} A' = ↓ ↑ Need Help? Read It SUBMIT ANSWER 具⇧ ASK YOUR TEACHER PRACTICE ANOTHER ill ASK YOUR TEACHER PRACTICE ANOTHER 3. [-/4 Points] DETAILS MY NOTES LARLINALG8 6.4.013. ASK YOUR TEACHER PRACTICE ANOTHERarrow_forwardUse Laplace transforms to solve the following heat problem: U₁ = Urr x > 0, t> 0 u(x, 0) = 10c a -X u(0,t) = 0 lim u(x,t) = 0 I7Xarrow_forward1) Given matrix A below, answer the following questions: a) What is the order of the matrix? b) What is the element a13? c) What is the element a₁₁? 4 -1arrow_forward
- [25 points] Given the vector let v = ER² and the collection of vectors ε = E-{)·()}-{☹) (9)} = {(A)·(9)}· B: = and C = · {(6)·(})}· answer the following question. (a) (b) (c) (d) (e) verify Verify is a basis for R² and find the coordinate [] of under ε. Verify B is a basis for R2 and find the coordinate []B of ʊ Verify C is a basis for R2 and find the coordinate []c of under ε. under ε. Find the change-of-basis matrix [I]+B from basis B to basis ε, and EE+BUB Find the change-of-basis matrix [I]B+ε from basis Ɛ to basis B, and verify [U]B= [] B+EVEarrow_forwardExplain the following terms | (a) linear span (b) dimension of vector space (c) linearly independent (d) linearly dependent (e) rank of matrix Aarrow_forward3. Let u = 3/5 √ = and = -4/5 -() Define V span{ū, }. (a) (b) (c) Show that {u, } is orthonormal and forms a basis for V. Explicitly compute Projy w. Explicitly give a non-zero vector in V+.arrow_forward
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