Provide an appropriate response.A card is drawn at random from a well-shuffled deck of 52 cards. Let A be the event that the card is a heart.Let B be the event that the card is a king.Find P(A), P(B), and P(A ? B). Are events A and B independent? How can you tell?

What will be an ideal response?


P(A) = 
P(B) = 
P(A ? B) = 
Yes; P(A ? B) = P(A) ? P(B)

Mathematics

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Find the limit. sec2 x - tan2 y + z

A. 3 B. 2 C. 4 D. 1

Mathematics

Evaluate the line integral along the curve C.ds , C is the path given by:C1: r(t) = (9 cos t)i + (9 sin t)j from (9, 0, 0) to (0, 9, 0)C2: r(t) = (9 sin t)j + (9 cos t)k from (0, 9, 0) to (0, 0, 9)C3: r(t) = (9 sin t)i + (9 cos t)k from (0, 0, 9) to (9, 0, 0)

A.
B. ?
C. - ?
D. 0

Mathematics

Multiply.  

A. 4510.52 B. 45.1052 C. 451.052 D. 4.51052

Mathematics

Graph the equation. Find seven solutions in your table of values for the equation by using integers for x, starting with -3 and ending with 3.y = x2 - 4

A.

B.

C.

D.

Mathematics