Solve the problem.A solid of constant density is bounded below by the plane 
above by the cone 
and on the sides by the cylinder 
Find the center of mass.
A. (0, 0, 
)
B. (0, 0, 
)
C. (0, 0, 
)
D. (0, 0, 
)
Answer: C
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Write a system of two inequalities that describe the constraints in the problem.An office manager needs to buy new filing cabinets. Cabinet A costs $6, takes up 5 square feet of floor space, and holds 7 cubic feet of files. Cabinet B costs $8, takes up 8 square feet, and holds 14 cubic feet. He has only $66 to spend and the office has room for no more than 59 square feet of cabinets. Let x equal the number of cabinet A's bought and y equal the number of cabinet B's bought.
A. 6y + 8x ? 66, 5y + 8x ? 59 B. 7x + 14y ? 59, 59x + 66y ? 8 C. 6x + 8y ? 66, 5x + 8y ? 59 D. 7y + 14x ? 59, 59y + 66x ? 8
For the compound inequality, give the solution set in both interval and graph forms.4x > 4 and x + 5 < 5
A. ?
B. [-1, 0)
C. (-1, 0]
D. [-1, 0]
Use the binomial theorem to expand the expression.(a - b)6
A. a6 - 6a5b + 15a4b2 - 20a3b3 + 15a2b4 - 6ab5 + b6 B. a6 - 6a5b - 15a4b2 - 20a3b3 - 15a2b4 - 6ab5 - b6 C. a6 + 6a5b + 15a4b2 + 20a3b3 + 15a2b4 + 6ab5 + b6 D. -a6 + 6a5b - 15a4b2 + 20a3b3 - 15a2b4 + 6ab5 - b6
Use Bayes' rule to find the indicated probability.Two shipments of components were received by a factory and stored in two separate bins. Shipment I has 2% of its contents defective, while shipment II has 5% of its contents defective. If it is equally likely an employee will go to either bin and select a component randomly, what is the probability that a defective component came from shipment II?
A. 0.714 B. 0.222 C. 0.5 D. 0.2