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

Mathematics

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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

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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 ? 

Mathematics

Solve the equation. = -11

A. -15 B. -44 C. 44 D. 15

Mathematics

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

Mathematics