Numerade

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36. Performance Task Use the word shown on the tiles below to find each probability. S U R F B O A R D Part A Two tiles are chosen at random without replacement. Use conditional probability to find the probability that both letters are vowels. Then find the probability using permutations or combinations. Explain. Part B Four of the tiles are chosen at random and placed in the order in which they are drawn. Use conditional probability to find the probability the tiles spell the word SURF. Then find the probability using permutations or combinations. Explain.

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Question 3 Plain strain fracture toughness ($K_{Ic}$) will increase under which condition? Increasing Strain Rate Decreasing Grain Size Cold Working Decreasing Temperature

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A random variable X is uniformly distributed over the interval (-4, 4). Find P(X < 1) and P(|X - 1| >= 1/2).

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Find B in [0,?] and real number C such that cot ? = C tan (? – B). B = and C = (Type exact answers, using ? as needed. Use integers or fractions for any number

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The Toys-R-4-U Company has developed two new toys for possible inclusion in its product line for the upcoming Christmas season. Setting up the production facilities to begin production would cost \$50,000 for Toy 1 and \$90,000 for Toy 2. After start- up costs are covered, the toys would generate marginal revenue of \$10 for Toy 1 and \$20 for Toy 2. Toy 1 can be produced at the rate of 50 per hour and Toy 2 can be produced at the rate of 25 per hour. The factory has 700 hours of production time available before Christmas that could be used to produce these toys. It is not known whether these two toys would be continued after Christmas. Therefore, the problem is to determine how many units (if any) of each new toy should be produced before Christmas to maximize the total profit (total marginal revenue minus start-up costs). Formulate an MIP (Mixed Integer Programming) model for this problem. Then use Solver to find the optimal solution. In your solution, include a screen shot of your Excel worksheet showing row numbers and column letters, and a screen shot of the Solver Parameters window. In a sentence, explicitly identify how many of each toy should be made as well as the maximized profit.

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If y=(sin^(-1)(8x+1))^(7), then its derivative is If y = (sin-1(8x + 1)) , then its derivative is

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10. Suppose that $A_3A_2A_1A_0$ is a 4-bit signed binary number (using 2s complement for negative numbers). please design a method to convert it to an 8-bit signed number. Use $B_7B_6B_5B_4B_3B_2B_1B_0$ to represent the result and write down the logic functions. (5pts)

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Find the equation of a plane passing through the point (-1, -4, 3) and perpendicular to the line x = -1 - 2t, y = 5 + t, z = 4 - 2t

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Please examine the texts provided thoroughly to identify and correct any spelling, typographical, grammatical, OCR (optical character recognition), and mathematical errors, including any errors related to the square root symbol. Ensure that the entire text is properly formatted and presented in a clear, coherent manner. Only correct errors, Do not answer it. #### Texts: a) Design a digital Butterworth IIR filter to remove random noise corrupted with a speech signal that is sampled at 10 kHz. Consider the following specifications: Filter designing method: BLT Speech frequency range: 0-3 kHz Stopband range: 4-5 kHz Passband ripple: 3 dB Stopband attenuation: 25 dB Show a detailed manual working. Determine the filter's order and transfer function as a function of 𝑧^(-1). (Hint: use MATLAB to simplify H(z)) (b) Using MATLAB, design the filter mentioned in part (a), plot the frequency response (in Hz), and find the transfer function of the filter as a function of 𝑧^(-1) (Note: use the bilinear command). (c) Use the butter MATLAB function to redesign the filter. Plot the frequency response (in Hz) and find the transfer function of the filter as a function of 𝑧^(-1). ##Hint## The doctor said it may be a 4th order filter.

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Question 26 The process of ______ can occur in ______. reabsorption; all regions of the nephron except the renal corpuscle secretion; all regions of the nephron excretion; proximal and distal tubule filtration; the glomerulus and the vasa recta

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joshua k.