An experiment in which the three mutually exclusive events, A, B, and C form a partition of the uniform sample space S is depicted in the diagram.
Find P(D) and P(B|D).
If necessary, round your answer to two decimal places.
P(D) = __________
P(B|D) = __________
0.65; 0.46
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Find the volume of the solid generated by revolving the region R bounded by the graphs of the given equations about the y-axis.bounded by the circle x2 + y2 = 16, by the line , and by the line y = 4
A. ?
B. ?
C. 64?
D. 16?
Match the surface show below to the graph of its level curves.
A.
B.
C.
D.
Solve.The perimeter of a window is 18 feet. If the width of the window is twice the height, what are the dimensions of the window?
What will be an ideal response?
Provide an appropriate response.A cylinder has a height that is 4 more than the diameter of its base.(a)Write the area of its circular base as a function of its radius.(b)Write the volume of the cylinder as a function of its radius.(c)Without simplifying, write the ratio of the area of the circular base and the volume of the cylinder as a function of the radius.(d)Simplify the function you wrote in c.(e)What kind of function is this?(f)What is its domain out of context?(g)What is its domain in the given context?
What will be an ideal response?