A discrete probability distribution for a random variable X is given. Use the given distribution to find the requested information.Find E(X).
A. 3.81
B. 0.17
C. 3.94
D. 3.50
Answer: C
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Find the general equation of the orthogonal trajectories of the curves for the given equations.The exponential curves y = ce-4x
A. 8y2 = x2 + c B. 4y2 = x + c C. 4y2 = 2x - c D. 4y2 = x2 - c
Use the change-of-base formula to find the logarithm. Round your answer to four decimal places. log200 40
A. 0.6962 B. 5.2983 C. 1.4363 D. 3.6889
The lengths of the sides of a triangle are given. Determine if the triangle is a right triangle. If it is, identify the hypotenuse.9, 12, 18
A. right triangle; 12 B. right triangle; 9 C. not a right triangle D. right triangle; 18
Explain how to obtain the graph of the given quadratic function from the graph of 
f(x) = (x - 9)2 - 3
A. Take the graph of y = x2 and shift it 9 units to the right and 3 units down. B. Take the graph of y = x2 and shift it 9 units to the left and 3 units down. C. Take the graph of y = x2 and shift it 9 units to the right and 3 units up. D. Take the graph of y = x2 and shift it 9 units to the left and 3 units up.