Solve the problem.Henry is a quality control inspector. He is watching the production line for Barb's Raisin Cookie. Henry will reject a cookie with less than 9 raisins. In the past, one out of every 100 cookies had less than 9 raisins. Find the probability that the first cookie Henry rejects is the 5th cookie on the line.

A. 0.086454
B. 0.048030
C. 0.009510
D. 0.009606


Answer: D

Mathematics

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The vector r(t) is the position vector of a particle at time t. Find the angle between the velocity and the acceleration vectors at time t = 0.r(t) = e2ti + (5 + e-2t)j + (3 cos 9t)k

A.
B.
C. 0
D.

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Find the focus and directrix of the parabola.y2 = -32x

A. F: (8, 0); D: x = -8 B. F: (-8, 0); D: y = 8 C. F: (0, -8); D: y = 8 D. F: (-8, 0); D: x = 8

Mathematics

Solve the problem.An open, rectangular aquarium is to hold 6 ft3 of water. The bottom is to be made from granite and the sides from glass. If granite costs 7 times as much as glass, what dimensions should be chosen to minimize the cost? Ignore the thickness of the materials.

A. The dimensions of the bottom should be  feet by  feet and the height should be 
B. The dimensions of the bottom should be  feet by  feet and the height should be 
C. The dimensions of the bottom should be  feet by  feet and the height should be 
D. The dimensions of the bottom should be  feet by  feet and the height should be 

Mathematics

Use l'Hopital's Rule to evaluate the limit. 

A. -1 B. 1 C. ? D. 0

Mathematics