Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round the answer to four decimal places.
?
?,
,
form a partition of ?S.
?
,
,
,
,
.
?
Find .
?
A.
B. ?
C. ?
D. ?
E. ?
Answer: B
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Evaluate the improper integral or state that it is divergent.
A. - ln 3
B. 2 ln 3
C. ln 3
D. ln 2
Solve.A glass-cage elevator rises on the outside of a hotel which is h m tall. A person stands 70 m from the base of the elevator. Express the distance d from the person to the elevator as a function of the height x of the elevator. What is the range of d = f(x)?
A. d = 702 + x2: 0 ? d ? 70
B. d = : 70 ? d ?
C. d = : d ? 70
D. d = : 70 ? d ?
Solve the equation. = -11
A. -15 B. -44 C. 44 D. 15
Sketch the graph of the function and find the domain and range.f(x) = -(x + 1)2 + 4
A. domain: x ? - 1
range: y ? - 4
B. domain: all real numbers
range: y ? 4
C. domain: x ? 1
range: y ? 4
D. domain: all real numbers
range: y ? - 4