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3. A group of 50,000 tax forms has an average gross income of $37,000, with an SD of $20,000. Furthermore, 20% of the forms have a gross income over $50,000. A group of 900 forms is chosen at random for audit. To estimate the chance that between 19% and 21% of the forms chosen for audit have gross incomes over $50,000, a box model is needed. (a) Should the number of tickets in the box be 900 or 50,000? (b) Each ticket in the box shows a zero or a one a gross income (c) True or false: the SD of the box is $20,000. (d) True or false: the number of draws is 900. (e) Find the chance (approximately) that between 19% and 21% of the forms chosen for audit have gross incomes over $50,000. 372 CHANCE ERRORS IN SAMPLING [CH. 20] (f) With the information given, can you find the chance (approximately) that between 9% and 11% of the forms chosen for audit have gross incomes over $75,000? Either find the chance, or explain why you need more information.

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. How many boxes in the punnett square do you need for a Tt x Tt cross?

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In what way is Ampere's Law similar to Gauss's Law? Both involve magnetic fields.Both use symmetry to simplify calculations. Both use integrals over a given surface element.Both use indefinite integrals.

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The fatty acid structure below is an omega-____ fatty acid called____. $CH_3CH_2CH=CHCH_2CH=CHCH_2CH=CH(CH_2)_7COOH$ 6, eicosapentaenoic 9, oleic 6, linoleic 3, linolenic

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Which is false for the electron transport chain? It produces the most ATP compared to glycolysis and Kreb's Citric acid cycle It regenerates NAD+ Oxygen is the final electron acceptor It will work if oxygen is absent

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Let $f(x) = \frac{1}{x - 3}$ and $g(x) = \frac{4}{x} + 3$. Find the following functions. Simplify your answers. f(g(x)) = g(f(x)) =

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Evaluate the definite integral $\int_0^{\frac{5\pi}{3}} 6 \sin(x) dx$ using Part 1 of the Fundamental Theorem of Calculus. $\int_0^{\frac{5\pi}{3}} 6 \sin(x) dx = $ Number

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How long did it take for an investment of $20,000 to grow to at least $24,000 at 1. compounded semi-annually? years months Express the answer in years and months, rounded to the next month

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Texts: Part 4 Calculation: Table 9.8. FIG. 9.6 dsT abutingermt RT ordy R=2.2k vnn geu1nowao oluole () R=4.7k WW V.59011o Cld i boos bru u b Calculate the voltage V using the measured resistor values and insert the results in a) Construct the network of Fig. 9.6. Insert the measured value of each resistor. 2TIUO9IEXPERIMENT dc9

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TASK 2: Unit Impulse, Step Response, Ramp, Parabolic Given the system transfer function: $G(s) = \frac{Y(s)}{R(s)} = \frac{104}{s^2 + 8s + 52}, \quad 0 \le t \le 3$ 1. Mathematically analyze the given system to show the effects on the steady state error for a variety of test input signals (unit impulse, unit step, unit ramp, unit parabolic). [5] 2. Using MATLAB functions (unit impulse, unit step, unit ramp, unit parabolic) determine the system response Y(s) for each test input signal. Use t = [0: 0.01: 3]. You may create a separate plot for each input signal. Make sure to show the input signal and the resulting response on the plot. [5] 3. Plot the Pole/Zero locations for the above system [5] 4. From the step response, determine peak overshoot, peak time and settling time. [5] 5. Estimate the three quantities in step (4) by hand calculations and compare the results. [5] 6. Determine y(t) analytically using inverse Laplace Transform. Using MATLAB, compare y(t) over the time interval defined in step (1) and graphically compare it with Y(s). [5]

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