A card is drawn from a well-shuffled deck of 36 playing cards. Let E denote the event that the card drawn is red and let F denote the event that the card drawn is a hearts. Determine whether E and F are dependent events.

a. independent
b. dependent


b. dependent

Mathematics

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Find at least three nonzero terms [including a0, at least two cosine terms (if they are not all zero) and at least two sine terms (if they are not all zero)] of the Fourier series for the given function.f(x) = 

A. f(x) =  -  + (sin x - sin 2x + . . . )
B. f(x) =  -  + (sin x - sin 2x + . . .)
C. f(x) =  +  + (3 sin x - sin 2x + . . .)
D. f(x) =  -  + (3 sin x - sin 2x + . . .)

Mathematics

Provide an appropriate response.As x moves from left to right though the point c = 5, is the graph of f(x) = x +  rising, or is it falling? Give reasons for your answer.

What will be an ideal response?

Mathematics

Round to the nearest hundredth.8.4328

A. 8.43 B. 8.433 C. 8.432 D. 8.44

Mathematics

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.midpoint , endpoint (p, q)

A. (a, w)
B.
C. (a, -w)
D.

Mathematics