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Question 18 An Earth satellite in a circular orbit of radius R has a period T. What is the period of an Earth satellite in a circular orbit of radius 4R? (E) 8T (B) 2T (D) 6T (C) 4T (A) T

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Worksheet: Q1 Heritage, an upscale restaurant in Richmond, VA, has been very successful with its $55 four-course set-price menu consisting of soup, appetizer, entrÃ©e, and dessert. However, the restaurant manager is concerned that the restaurant may lose money by not having its customers order individual courses from the regular menu. An extensive study of customers' recent orders has revealed that the equivalent meal price of the four courses ordered from the set-price menu is normally distributed with a mean price of $65.30 and a standard deviation of $6.80. (a) What is the probability that a random customer would order courses worth an equivalent meal price of at least $20 over the set price? (Round your answer to three decimal places.) 0.077 (b) What is the probability that a random customer would order courses worth an equivalent meal price of at least $5 under the set price? (Round your answer to three decimal places.) 0.988 (c) What is the probability that a random customer would order courses worth an equivalent meal price between the set price and $20 over it? (Round your answer to three decimal places.) 0.012 (d) What is the equivalent meal price that a customer ordering in the upper 10% of the distribution of equivalent meal prices would have paid had they ordered from the regular menu? (Round your answer to two decimal places.) $ 74.01 The restaurant manager recorded the equivalent meal price of every thirteenth customer ordering from the four-course set-price menu until a sample of 105 checks was collected. (e) What sampling methodology did the restaurant manager utilize to collect the sample of the customers' equivalent meal prices? Did the manager collect a random sample? The manager utilized a systematic sampling method and, by so doing, collected a nonprobability sample. (f) How many of the 105 customers in the sample would the manager expect to order courses that are worth an equivalent meal price between the set price and $10 in excess of it? (Round your answer to the nearest integer.) 44 customers

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The eye of a hurricane O the portion with the highest wind speeds O warmer than the rest of the storm O along the leading edge of the storm O the area of most intense rainfall

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1. Apply two steps of the Steepest Descent method to the minimization of the function $f(x_1, x_2) = (2x_1 - x_2)^2 + (x_2 + 1)^2$ with initial point $x^0 = \begin{bmatrix} \frac{5}{2} \\ 2 \end{bmatrix}$

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Problem 5) (3 points): Prove that in a symmetric 2$(v, k, \lambda)$-design \\ (with $v > k$), $k > \sqrt{\lambda v}$.

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Question 6: Ay Body-1 Ax By F1 Bx F3 Pin-1 F3 F1 F1 F2 Pin-3 F3 F1 2 F3 Label the small inset on the upper right. 4 F2 Pin-2 F2

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What is the relationship between impulse response and frequency response? Give the Z transform of sequence u[k], k > 1. Determine the transfer function of the LTI system below: A x[k] LTI [y] y[k] = x[k-1] 3216 0 $ 16 24 32 40 48 Give the definition of a minimum phase system. What is the key problem in sampling a continuous signal? What is the relationship between the spectrum of a continuous signal and its sampled sequence? C Spectrum of x[k] x(e) = 1 + 2e^(-2) + 3e^(-3) then x[k] = A{i,2,3} B{i,-2,3} C{i,0,-2,3} D{i,0,2,-3} The frequency response of an LTI system is as below at (-I,n): H(e) = fe^(-j |Î¸|/3) What kind of filter is the system? 16 24 32 40 48 A Low-pass B High-pass C Band-pass D Band-stop =2 023456 Sampling the continuous signal x(t) with an interval of T to obtain the sampling sequence x[k], where k is an integer. If the spectrum of x(t) X(j) is as below, when the sampling frequency = 16 rad/s, the spectrum of x[k] X(e^i) is ( ).

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During a neighborhood baseball game in a vacant lot, a particularly wild hit sends a 148 g baseball crashing through the pane of a second-floor window in a nearby building. The ball strikes the glass at 11.5 m/s, shatters the glass as it passes through, and leaves the window at 9.01 m/s with no change of direction.

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Question 2 The following phase voltages were measured in a 415/240v star system with a neutral disconnection fault. Va = 210v, Vb= 270 Draw a voltage phasor diagram to determine a) Phase voltage across Vc b) The load star point neutral to earth voltage

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1. $x^2 - 4x + c$

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jennifer h.