Solve the problem.Between 7:00 AM and 8:00 AM, trains arrive at a subway station at a rate of 8 trains per hour
per minute). The following formula from statistics can be used to determine the probability that a train will arrive within t minutes of 7:00 AM. F(t) = 1 - e-0.13tDetermine how many minutes are needed for the probability to reach 60%.
A. 6.57 min
B. 7.05 min
C. 9.18 min
D. 2.52 min
Answer: B
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Find the indicated term of the sequence.The seventh term of the geometric sequence 2, -6, 18, ...
A. -1458 B. 729 C. 1458 D. -4374
Solve the problem.The length of a rectangle is 10 inches more than its width. If 5 inches are taken from the length and added to the width, the figure becomes a square with an area of 289 square inches. What are the dimensions of the original figure?
A. 7 in. by 17 in. B. 12 in. by 22 in. C. 12 in. by 17 in. D. 17 in. by 17 in.
Solve.The function N(t) = , t ? 8gives the body concentration N(t), in parts per million, of a certain dosage of medication after time t, in hours.Graph the function on the interval [8, ?) and complete the following:N(t) ?
as t ? ?.
A.
N(t) ? 0 as t ? ?.
B.
N(t) ? 1 as t ? ?.
C.
N(t) ? 0.071 as t ? ?.
D.
N(t) ? 0.083 as t ? ?.
Solve the problem. The data in the table was obtained for a gas at constant temperature. The gas was contained in a syringe and the volume of the gas was varied by squeezing the syringe. The pressure (in atmospheres) of the gas was measured for various volumes (in cm3) of the gas.Let P be the pressure (in atm) of the gas when the volume is V (in cm3). Find an equation of a model to describe the data. Use the point (8, 1.17) to find the constant of variation. In a sentence that uses the phrase "varies directly" or "varies inversely", describe how the volume and pressure of the gas are related. Use the model you found to estimate the volume of the gas if the pressure is 0.80 atm.
What will be an ideal response?