Numerade

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(a) Prove that if 𝑋 and 𝑌 are independent random variables, then Cov(𝑋,𝑌) = 0. (b) Show that the converse is not true. That is, Cov(𝑋,𝑌) = 0 does not imply that 𝑋 ⊥ 𝑌. [Hint: Find a counter-example.]

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the percent composition of C in a 0.1453 g of an unknown hydrocarbon is found to be 82.66%. what is the empirical formula of the compound

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9. Classical approach is well-suited for long-run macroeconomic analysis. True False

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What is the derivative of $f(x) = (x^2 - 2)(3x^3)(4x)$?

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Mr. Elliot is prescribed a combination of medications (neither of which is a prodrug) to treat his disease process. He is exhibiting signs of toxicity related to his new drug regimen. A possible cause of the change in the metabolism of his medications may be enzyme inhibition. What is true of enzyme inhibition? Check all that apply.

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Select the best answer for the question. What is 20% of $950 ? A. $190 B. $19 C. $760 D. $60 Mark for review (Will be highlighted on the review page )

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1 2 G1 T1 Xh1= j0,015 p.u. 4 5 T2 Xh2=j0,025 p.u. Xh3=j0,075 p.u 100 MVA 15 kV 100 MVA Xd"= 0,13 p.u. Xtr=0.085 p.u. 3 15/380 kV 380/12 kV 100 MVA to 100 MVA 12 kV Xtr=0,08 p.u. Xd"= 0,11 p.u. G2 P3=75 MW Q3=25 MVAr

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Q1: Determine the values of $K_p$ and $K_d$ of the closed-loop system shown in Fig. below so that the maximum overshoot in unit-step response is 25% and the peak time is 2 sec. Assume that $J=1$ kg-m$^2$, $B=1$ N-m_rad_sec. R E + $K_p + K_ds$ $\frac{1}{s(Js + b)}$ C Then, Find the steady-state error due to a unit ramp disturbance torque. Then, propose a controller that improves the steady state error.

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Bronco, Inc., imposes a payback cutoff of three years for its international projects. Year Cash Flow (A) Cash Flow (B) 0 -$58,000 -$ 68,000 1 22,000 14,000 2 26,000 17,000 3 20,000 24,000 4 7,000 228,000 What is the payback period for both projects? (Round your answers to places, e.g., 32.16.) Project A years Project B years Which project should the company accept? Project B Project A

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Suppose you push a bag of groceries across the floor with a horizontal push such that it moves with constant velocity. Which of the following best describes the magnitude of your applied force on the bag? It must be equal to the magnitude of the normal force, but can be different from the gravitational and frictional forces. It must be equal to the magnitude of the frictional force, but can be different from the gravitational and normal forces. It must be equal to the magnitude of the gravitational force, but can be different from the frictional and normal forces. It must be equal to three other forces: the magnitudes of the frictional, gravitational, and normal forces.

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robert b.