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A study is to be conducted in a hospital to determine the attitudes of nurses toward various administrative procedures. A sample of 10 nurses is to be selected from a total of the 70 nurses employed by the hospital. (a) How many different samples of 10 nurses can be selected? (Round your answer to two decimal places.) ✕ 1011 samples (b) Twenty of the 70 nurses are male. If 10 nurses are randomly selected from those employed by the hospital, what is the probability that the sample of ten will include exactly 3 male (and 7 female) nurses? (Round your answer to three decimal places.)

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If the newly appointed government in the United States requests for Congress to raise the amount of money that the government can borrow, the government has asked Congress to hike its _____. a. debt ceiling b. down payment c. fiscal cliff d. discount rate

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2 V 2? 4 ? +1 A Calculate the short-circuit current at the terminal pair using loop analysis. i<sub>sc</sub> = A

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The engine of a 1500-kg automobile has a power rating of 75 kW. a) Determine the time required to accelerate this car from rest to a speed of 100 km/h at full power on a level road. b) After reaching the required velocity the car faced a 30 degrees uphill road and the driver left the gas pedal, how long will the car move before it stops? Disregard friction, air drag, and rolling resistance.

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Suppose the interest rate is 9.6% APR with monthly compounding. What is the present value of an annuity that pays $110 every six months for four years? (Note: Be careful not to round any intermediate steps less than six decimal places.) The present value of the annuity is $ \boxed{} . (Round to the nearest cent.)

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Prof. X wrote the equation for electrical current density resulting from drift. A student from ECE344 immediately wrote the equation for holes based on a symmetry argument as follows: Op. Is the student correct? Explain your answer.

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For $\vec{A} = x \hat{a}_x + y \hat{a}_y + z \hat{a}_z$ and $\vec{B} = 3x \hat{a}_x + 2y \hat{a}_y + 4z \hat{a}_z$ Find the following a) $\vec{C} = \vec{A} \times \vec{B}$ b) at $(1, 2, 3)$ find $|\vec{A} \times \vec{B}|$, angle $\theta$ between $\vec{A}$ and $\vec{B}$, and $\hat{a}_n$ c) $D = \vec{A}.\vec{B}$ at $(1, 2, 3)$

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Consider the language PALIN U ODD. We will use the pumping lemma to prove it is not regular and pump on w = a$^n$bba$^n$. What values of i will work to pump out of the language? Reminder: since the first n symbols are all a's we must have y = a$^j$ for some j and i is the number of times we loop or pump on y. (i) i = 0 (ii) i = 1 (iii) i = 2 (iv) i = 3 Exactly 3 of them Exactly 1 of them Exactly 2 of them All 4 of them

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ECE 301 3. Using the current division principle, determine V, i.e., the voltage across the 3-? resistor in the circuit of Figure 3. (20 points) (Note: This problem is required to be solved with the current division principle.) 5 A $I_x = 5A(\frac{\frac{1}{2}}{\frac{1}{2} + \frac{1}{3}}) = 5A(\frac{3}{5}) = 3A$ $V = 3I_x = 3(3) = 9V$ 2 ? 3 ? V Figure 3.

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The perimeter of a rectangle is 38 feet. Describe the possible lengths of a side if the area of the rectangle is not to exceed 60 square feet. Express the possible lengths of a side. (Type your answer in interval notation.)

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matthew d.