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8-14 LO 4 Define the following terms: (a) simple random sampling, (b) systematic sampling, (c) systematic random sampling, (d) haphazard sampling, and (e) block sampling.

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In how many ways can the letters in the word ATTENTION be arranged?

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Problems Use matrices A and B below for Problems 7.1- 7.8. $A = \begin{bmatrix} 1 & 3 & 0 \ 2 & 1 & 2 \ 4 & 1 & 3 \end{bmatrix}$ $B = \begin{bmatrix} 0 & 1 & 1 \ 1 & 3 & 3 \ 2 & 0 & 3 \end{bmatrix}$ 7.1 Use Excel to calculate the resultant matrix $C = A + B$ for matrices A and B above. Check your results by calculating the resultant matrix $C = A + B$ by hand. 7.2 Use Excel to show that $AB \neq BA$ for matrices A and B above. 7.3 Use Excel to calculate the determinant of matrices A and B above. Does an inverse exist for each matrix? Check your results by calculating the determinants of matrices A and B by hand. 7.5 Use MATLAB to calculate the resultant matrix $C = A + B$ for matrices A and B above. Check your results by calculating the resultant matrix $C = A + B$ by hand. 7.6 Use MATLAB to show that $AB \neq BA$ for matrices A and B above. 7.7 Use MATLAB to calculate the determinant of matrices A and B above. Does an inverse exist for each matrix? Check your results by calculating the determinants of matrices A and B by hand. 7.8 Use MATLAB to show that $AA^{-1} = A^{-1}A = I$ for matrices A and B above. Use matrix D below for Problems 7.9 and 7.10. $D = \begin{bmatrix} 12 & -6 & 27 \ 5 & 18 & -2 \ -4 & 2 & -9 \end{bmatrix}$ 7.9 Use Excel to calculate the determinant and inverse of matrix D above. 7.10 Use MATLAB to calculate the determinant and inverse of matrix D above. Use matrices G and H below for Problems 7.11 and 7.12.

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The gravitational force on a small rock sitting on a 20 m-high cliff on Earth is $F_g$. How does the gravitational force on the rock change if a hiker picks up the rock and carries it to a 200 m-high cliff? It will decrease by an insignificant amount. It will decrease by about one-tenth. It will decrease by about one-fourth. It will decrease by about one-half.

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2. Let $f(x) = \sqrt{x}$. A. Find the Linearization of $f(x)$, $a = 100$. B. Use the Linearization of $f(x)$ to approximate $\sqrt{100.5}$. C. Find the differential of $f(x)$.

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Mortgage Analysis Part I You are planning to purchase a house that costs $480,000. You plan to put 20% down and borrow the remainder. Based on your credit score, you believe that you will pay 3.99% on a 30-year mortgage. 1. Use function \"PMT\" to calculate your mortgage payment. 2. Calculate the total cost of the home purchase. (Down payment plus principle (loan amount) plus interest.) 3. Calculate how much interest you will pay in total? 4. Assume that you plan to pay an extra $300 per month on top of your mortgage payment, calculate how long it will take you to pay off the loan given the higher payment. (Use interest rate of 3.99%). Calculate how much interest you will pay in total? Compare this to the value that you calculated for #3. Part II You want to determine whether or not you should save some of your money and put only 10% down on your house. Because you are only putting 10% down, lenders require that you purchase private mortgage insurance (PMI). Assume that PMI is 1% of the mortgage amount. (How does PMI work? For example, on a $100,000 loan, 1% PMI means you are paying and additional $1,000 a year or $83.33 a month) 5. Calculate your total monthly payment (mortgage payment plus PMI). 6. Calculate the total cost of the home purchase. (Down payment plus principle (loan amount) plus interest.) 7. Calculate how much interest and PMI you will pay in toþal?

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5. A load consists of: • three (3) 25hp electric motors. • eleven (11) 1.2kW heaters. [MARK = 12%] If the load is located 130 feet from a 450V source and the voltage drop in the feeder lines cannot exceed 3%, determine: (a) Minimum wire gage for the aluminum feeder lines. (b) Power loss to the feeder. (c) Why will the actual voltage drop in the feeder be less than 2%?

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---: an element of the user interface that contains some of the information of the system. It is a metaphor for a view, and is part of a larger information system. dialogue box icon label window (none of the above)

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If you borrow $19000 as a 6 year loan from the bank and the bank requires you to make end of year payments of $3986.12, what is the annual interest rate on this loan if interest is compounded annually?

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1) 8 - 24 \div (-1 - 5) + (-20 \div 4 + 7) \cdot (-7) = \\ 2) [2 + 3 \cdot (-4)] \cdot 2 + 18 \div (2 - 4 \cdot 2) = \\ 3) -6 \cdot (7 - 12) + 15 \cdot (1 - 20 \div 4) - (-13) = \\ 4) 12 \cdot (-3) \div (-4) + (-5 + 7 \cdot 2) \cdot (-3) + 9 =

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michael z.