For the given probability density function, over the given interval, find the mean, the variance, and the standard deviation.f(x) = 
, [12, 20]
A. ? = 1.6; ?2 = 5.24; ? = 2.29
B. ? = 15.5; ?2 = 5.20; ? = 2.28
C. ? = 16; ?2 = 5.33; ? = 2.31
D. ? = 15; ?2 = 5.34; ? = 2.31
Answer: C
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Solve.Suppose that a polynomial function is used to model the data shown in the graph below.
Determine the degree of the polynomial function of best fit and the sign of the leading coefficient.
A. Degree 4; negative leading coefficient. B. Degree 5; negative leading coefficient. C. Degree 5; positive leading coefficient. D. Degree 4; positive leading coefficient.
Find the slope of the line.x = -8y
A. m = 
B. m = 8
C. m = - 
D. m = -8
Solve.An archer has $270 to spend on a new archery set. A certain set containing a bow and three arrows costs $80. With the purchase of this set, he can purchase additional arrows for $10 per arrow. Use an inequality to find the maximum number of arrows he could obtain, including those with the set, for his $270.
A. at most 
arrows
B. at most 27 arrows
C. at most 22 arrows
D. at most 19 arrows
Find a bound on the error in approximating the integral 
using
(a) the Trapezoidal Rule and (b) Simpson’s Rule with n = 10 subintervals.