Solve the problem.Two recording devices are set 3200 feet apart, with the device at point A to the west of the device at point B. At a point on a line between the devices, 400 feet from point B, a small amount of explosive is detonated. The recording devices record the time the sound reaches each one. How far directly north of site B should a second explosion be done so that the measured time difference recorded by the devices is the same as that for the first detonation?
A. 933.33 feet
B. 1763.83 feet
C. 4098.78 feet
D. 1549.19 feet
Answer: A
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Use a graphing calculator to answer the question.Consider the stochastic matrix A and the distribution matrix B below. A = 
B = 
Determine the stable distribution of A by calculating AB, A2B, A3B, A4B, ... , until successive matrices do not change.
What will be an ideal response?
Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.Assume that the volume of the earth is 5 × 1014 cubic meters and the volume of a bacterium is 2.5 × 10-16 cubic meters. If the earth could be filled with bacteria, how many would it contain? (Round to one decimal place.)
A. 5.0 × 10-31 bacteria B. 2.0 × 1030 bacteria C. 5.0 × 1031 bacteria D. 2.0 × 10-30 bacteria
Multiply and simplify.
? 
A. 
B. 
C. 
D. 120xy
A box contains 12 red and 8 green balls. A contestant draws one ball. The expected value is ____.
A. $75 B. $50 C. $25 D. $0