Solve the problem.A building contractor's profit (in thousands of dollars) on each unit in a subdivision is a continuous random variable with probability density function f(x) as shown below. f(x) =
(A) Find the contractor's expected profit. Round to the nearest dollar.(B) Find the median profit. Round to the nearest dollar.
A. (A) $21,667; (B) $21,340
B. (A) $26,667; (B) $25,000
C. (A) $23,333; (B) $22,929
D. (A) $28,333; (B) $26,465
Answer: C
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Solve the problem.A 100 gal tank is half full of distilled water. At time = 0, a solution containing 2 lb/gal of concentrate enters the tank at the rate of 4 gal/min, and the well-stirred mixture is withdrawn at the rate of When the tank is full, how many pounds of concentrate will it contain?
A. 175 pounds B. 200 pounds C. 150 pounds D. 187.5 pounds
Factor the trinomial, or state that the trinomial is prime.2x2 - 7x - 15
A. (2x + 3)(x - 5) B. (2x - 3)(x + 5) C. (2x - 5)(x + 3) D. prime
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. 0.5 B. 0.222 C. 0.714 D. 0.2
Find the product and simplify. ?
A.
B.
C.
D.