Provide an appropriate response.The probability distribution for the random variable X is: 
What is the expected value of X?
A. 0.62
B. 0.26
C. 0.22
D. 0.50
Answer: A
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Show that the sets are equivalent by carefully describing a one-to-one correspondence between the sets.The set of natural numbers and the set of powers of 5:N = {1, 2, 3, 4, . . . } and {51, 52, 53, 54, . . . }.
What will be an ideal response?
The rectangular coordinates of a point are given. Express the point in polar coordinates with 
and 
A. 
B. 
C. 
D. 
Express the sum or difference as a product.cos 4x + cos 2x
A. 2 sin 3x sin x B. 2 cos 3x sin x C. 2 cos 3x D. 2 cos 3x cos x
Thanks to smaller and more fuel-efficient models, American carmakers have doubled their average fuel economy over a 13-year period, from 1974 to 1987. The graph depicted in the figure gives the average fuel consumption in miles per gallon (mpg) of domestic-built cars over the period under consideration (
corresponds to the beginning of 1974). Use the trapezoidal rule to estimate the average fuel consumption of the domestic car built during this period. Round the result to the nearest hundredth.
?
(Hint: Approximate the integral 
.)
?
?
Please round your answer to two decimal places.
?
__________ mpg
Fill in the blank(s) with the appropriate word(s).