Solve the problem.Let D be the smaller cap cut from a solid ball of radius 10 units by a plane 4 units from the center of the sphere. Set up the triple integral for the volume of D in spherical coordinates.
A.
B.
C.
D.
Answer: D
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Find the indicated probability or percentage for the normally distributed variable.At a local college, times for running the mile are approximately normally distributed with a mean of 4.5 minutes, and a standard deviation of What is the probability that a randomly selected time will be less than 4 minutes?
A. 0.274 B. 0.953 C. 0.227 D. 0.047
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the . y = x2, y = 9, x = 0
A. ?
B. 18?
C. ?
D. ?
Find the probability.The table lists the eight possible blood types. Also given is the percent of the U.S. population having that type.Let E be the event that a randomly selected person in the U. S. has type B blood. Let F be the event that a randomly selected person in the U. S. has RH-positive blood.Find P(F|E).
A. 0.818 B. 0.340 C. 0.720 D. 0.107
Simplify the rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression.
A. , x ? -6, -6
B. , x ? - 3
C. - , x ? -6, -6
D. , x ? -