A certain soccer goalkeeper catches 30% of all penalty kicks against her team. What is the probability that out of five penalty kicks she catches at least two?
What will be an ideal response?
1 - (0.7)5 - [C(5, 1) ? (0.3) ? (0.7)4] = 0.47178
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Approximate the integral 
using
(a) the Trapezoid rule with n = 6 . (b) Simpson’s rule with n = 6 .
Find the vertices and the foci of the given ellipse.
+ 
= 1
A. V: (-5, 0), (5, 0); F: (-4, 0), (4, 0) B. V: (-5, 0), (5, 0); F: (0, -3), (0, 3) C. V: (0, -5), (0, 5); F: (-3, 0), (3, 0) D. V: (0, -5), (0, 5); F: (0, -4), (0, 4)
Find the expected value.A fair coin is tossed three times, and a player wins $3 if 3 tails occur, wins $2 if 2 tails occur and loses $3 if no tails occur. If one tail occurs, no one wins. What is the expected value of the games?
A. $0.75 B. $2.00 C. -$3.00 D. $3.00
Factor by grouping.6 - 3r - 2t + rt
A. (2 + r)(3 - t) B. (2 + r)(3 + t) C. (2 - r)(3 + t) D. (2 - r)(3 - t)