Find the specified domain.For f(x) = 2x - 5 and g(x) =
, what is the domain of (g ? f)?
A. [9, ?)
B. [?,-2)
C. (-9, 9)
D. [-2, ?)
Answer: D
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Determine whether the specified paradox occurs.A small country consists of seven states; there are 160 seats in the legislature that need to be apportioned among the seven states; and the population of each state is shown below for the first and sixth years.Does the population paradox occur using Hamilton's method of apportionment?
A. Yes B. No
Provide an appropriate response.Raise the term to the indicated power: 3
A.
B.
C.
D.
Solve the problem.A comet follows the hyperbolic path described by -
= 1, where x and y are in millions. If the sun is the focus of the path, how close to the sun is the vertex of the path?
A. 6.2 million B. 39 million C. 1.3 million D. 4.9 million
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