A study conducted by Uni-Mart, a mail-order department store, reveals that the time intervals in minutes between incoming telephone calls on its toll-free 600 line between 10 A.M. and 3 P.M. are exponentially distributed with probability density function 
.
?
What is the probability that the time interval between successive calls is more than 5 min? Give the answer to four decimal places, if necessary.
Fill in the blank(s) with the appropriate word(s).
0.7788
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Find the extreme values of the function subject to the given constraint.
A. Maximum: none; minimum: 30 at 
B. Maximum: none; minimum: 24 at 
C. Maximum: 51 at 
minimum: 30 at 
D. Maximum: 30 at 
minimum: 24 at 
Find the volume.Find the volume of the right circular cone pictured above. Use 3.14 for ?. Round to the nearest whole number.
A. 33 in.3 B. 268 in.3 C. 201 in.3 D. 134 in.3
Solve the problem.Suppose f(x) = 33.4 + 1.2log (x + 1) models salinity of ocean water to depths of 
at a certain latitude. x is the depth in meters and f(x) is in grams of salt per kilogram of seawater. Approximate the depth (to the nearest tenth of a meter) where the salinity equals 35.
A. -1.0 g/kg B. 22.5 g/kg C. 20.5 g/kg D. -0.9 g/kg
Factor completely. If a polynomial cannot be factored, say it is prime.x2(x + 2) - 4(x + 2)
A. prime B. (x + 2)2(x - 2) C. (x - 2)2(x + 2) D. (x2 - 4)(x + 2)