Numerade

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$F(A, B, C, D) = \sum m(1, 7, 9)$ Implement $F$ using only one 4-to-1 MUX and one 2:4 decoder.

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It is given that the expected number of organisms in one cubic meter of discharge is 10, or $\mu = 10$. We are asked to find the probability that one cubic meter of discharge contains at least 9 organisms, or $P(X \ge 9)$. Recall that the table of cumulative Poisson probabilities is in terms of $P(X \le x)$. To find $P(9 \le X)$ in terms of $P(X \le x)$, consider that the sum of the probabilities of all possible $x$-values is 1. In other words, $P(9 \le X) + P(X \le 8) = 1$. Rearranging the equation to solve for $P(9 \le X)$, we have $P(9 \le X) = 1 - P(X \le 8)$. Step 2 Use the given value $\mu = 10$ and the Poisson cdf table to find the value of $P(X \le 8)$, or $F(x; \mu) = F(8; 10)$, rounded to three decimal places. P(X $\le$ 8) = Substitute the value of P(X $\le$ 8) into the equation determined in the previous step to solve for P(9 $\le$ X), rounding to three decimal places. P(9 $\le$ X) = 1 - P(X $\le$ 8) = 1 - =

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4. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 4.9.015. Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) f(t) = \frac{2t - 4 + 4\sqrt{t}}{\sqrt{t}} F(t) = \left(2t^2 + \frac{4}{5}t^{\frac{5}{2}} - \frac{8}{3}t^{\frac{3}{2}}\right) + C Need Help? Read It Submit Answer 5. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 4.9.018. Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) f(x) = \frac{3x^2 - 6x + 5}{x^2}, \quad x > 0 F(x) = Need Help? Read It Submit Answer

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Use transformations of the absolute value function, f(x) = |x|, to graph the function h(x) = |x-2|+5. What transformations are needed in order to obtain the graph of h(x) from the graph of f(x)? Select all that apply. A. Reflection about the y-axis B. Vertical shift C. Horizontal stretch/shrink D. Vertical stretch/shrink E. Reflection about the x-axis F. Horizontal shift Use the graphing tool to graph the equation.

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Water enters a hydraulic turbine through a 30 cm-diameter pipe at a rate of 0.6 m³/s and exits through a 25 cm-diameter pipe (Figure 2). The pressure drop in the turbine is measured to be 148 kPa. The density of water is $p_{water} = 1000 kg/m^3$. a) Determine the flow velocities at turbine inlet and outlet. (4 marks) b) If the combined turbine-generator efficiency is 83%, determine the net electrical power output. (6 marks) c) What effect would a larger outlet diameter have on the power output? Give a brief explanation. (2 marks)

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A B 60 lb-ft C 2 ft 2.5 ft 60 lb-ft D 3 ft

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12. The following RC-circuit is constructed. S? 12 k? 9V 15 k? 10 ?F 3 k? (a) In a first part of the operation, the switch S? is closed and the capacitor is allowed to fully charge itself. When the capacitor is fully charged, i. What is the current in the 15 k? resistor? ii. What is the current in the branch containing the capacitor? iii. What is the charge held by the capacitor? Rémi Poirier Champlain College page 5 of 6 Physics 203-NYB (b) In a second part of the operation, the switch S? is opened and the capacitor is allowed to discharged itself. i. What is the current flowing in the circuit at the moment the switch is opened? ii. How long before the capacitor holds half of its original charge?

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6. For the recursively defined function given by $T(n) = 3T(n - 1) + 2$ and $T(0) = 5$, what is $T(10)$? (2 pts) a. $3^{12} - 1$ b. $3 \times 2^{11} + 4$ c. $2 \times 3^{11} + 1$ d. $2 \times 3^{11} - 1$ e. $7 \times 3^{10} + 1$ f. $7 \times 3^{10} - 1$ g. $4 \times 3^{11} + 2$ h. $5 \times 3^{10} + 1$ i. $5 \times 3^{10} - 1$ j. $5 \times 3^{11} - 1$ k. $5 \times 3^{11} + 1$ l. None of the above

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2 Question 2 Consider a small open economy (SOE) with a floating exchange rate regime. Assume that the expecta- tion about the future exchange rate is fixed. The economy can be summarised by the following system of equations: $Y = C(Y - T, Y^e - T^e, i - \pi^e, A) + I(Y^e, i - \pi^e, K) + G + NX \left(\frac{1 + i}{1 + i^*} \frac{e P}{P^*}, Y, Y^*\right)$ $\frac{M}{P} = \frac{Y}{V(i)}$ (2.1) Interpret the above equations and illustrate the model graphically. Explain how the domestic nominal interest rate affects the domestic aggregate demand. (2.2) Analyse mathematically and graphically the effects of an increase in the foreign nominal interest rate ($i^*$) on the domestic GDP and on the nominal exchange rate. • For the mathematical part, assume that the central bank controls the domestic nominal in- terest rate. • For the non-mathematical part, explain carefully the transmission mechanisms both when the central bank controls the domestic nominal interest rate and when the central bank controls the money supply.

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The Fun Students rental company has 100 apartments all around UD and generally rents them out for $1200 a month. Their average monthly variable expenses are $60,000 (no fixed expenses). (a) The Fun Students rental company would like to rent out more units, but the market is early saturated and they'll have to lower the average price per unit. Give a numeric example for a situation in which The Fun Students rental company breaks even. Specifically, how many units they'll rent out and what will be their average monthly rental? Assume variable costs per unit remains the same. (7 points) (b) Now the company CEO wants to phase out her operations and retire and is selling some units (while keeping the others). Come up with a numeric example where this scheme continues to make the same profit as before the sale. Specifically, your answer should be of this form: if the CEO sells X units and is left 100-X units, then the monthly rent should be $Y in order to break even. (6 points)

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alexander c.