Let E and F be events with Pr(E) = 0.4, Pr(F) = 0.6, and Pr(E ? F) = 0.8. Find Pr(E|F).

Fill in the blank(s) with the appropriate word(s).


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Mathematics

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Determine where the given function is concave up and where it is concave down. f(x) = 2x3 + 12x2 + 18x

A. Concave down on  , concave up on  
B. Concave up on  , concave down on  

C. Concave down on (-?,  -3.5), concave up on ( -3.5?)
D. Concave up on ( -?-3.5), concave down on ( -3.5?)

Mathematics

Plot the given point in a rectangular coordinate system.(-5, 1) 

A.

B.

C.

D.

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Factor completely. If the polynomial cannot be factored, write "prime."-x2 + 2x + 48

A. -(x - 8)(x - 6) B. (x + 8)(x - 6) C. -(x - 8)(x + 6) D. Prime

Mathematics

Multiply.× 

A. 21.71 B. 22.7 C. 21.6 D. 54.4

Mathematics