Jacobs & Johnson, an accounting firm, employs 14 accountants, of whom 8 are CPAs. If a delegation of 2 accountants is randomly selected from the firm to attend a conference, what is the probability that 2 CPAs will be selected?

a. 0.001
b. 0.474
c. 0.737
d. 0.308
e. 0.533
f. 0.073


d. 0.308

Mathematics

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Solve the problem.The cost, in millions of dollars, for a company to manufacture x thousand automobiles is given by the function  Find the number of automobiles that must be produced to minimize cost.

A. 45 thousand automobiles B. 3 thousand automobiles C. 9 thousand automobiles D. 6 thousand automobiles

Mathematics

Solve the problem.Rachel's bus leaves at 1:15 PM and accelerates at the rate of 3 meters per second per second. Rachel, who can run 8 meters per second, arrives at the bus station 5 seconds after the bus has left. Find parametric equations that describe the motions of the bus and Rachel as a function of time, and simulate the motion of the bus and Rachel by simultaneously graphing these equations.

A. Bus: x1 = t2, y1 = 2;
Rachel: x2 = 8(t - 5), y2 = 4

B. Bus: x1 = 3t2, y1 = 2;
Rachel: x2 = 8(t - 5), y2 = 4

C. Bus: x1 = t2, y1 = 2;
Rachel: x2 = 8(t + 5), y2 = 4

D. Bus: x1 = 3t2, y1 = 2;
Rachel: x2 = 8(t - 5), y2 = 4

Mathematics

Use a proportion to solve the problem.If a computer prints 258 lines in 3 seconds, how many lines can it print per minute?

A. 5170 lines B. 2580 lines C. 5160 lines D. 5165 lines

Mathematics

Verify the identity. = csc x + cot x

What will be an ideal response?

Mathematics