Solve the problem.The time of a telephone call (in minutes) to a certain town is a continuous random variable with a probability density function defined by
for
Find the probability that the call lasts more than 3 minutes.
A. 0.0027
B. 0.8736
C. 0.9986
D. 0.0014
Answer: D
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Solve the problem.The deflection y (in m) of a 7-m beam as a function of the distance x (in m) from one end is Find the value of d2y/dx2 (the rate of change at which the slope of the beam changes) where x = 4.5 m.
A. 0.80 B. 0.17 C. 0.14 D. 0.82
For the initial value problem, compute the first two approximations u1 and u2 given by Euler's method using the given time step.y'(t) = 3 - y, y(0) = 6; ?t = 0.1
A. u1 = 5.7; u2 = 5.43 B. u1 = 6.9; u2 = 5.43 C. u1 = 5.7; u2 = 6.51 D. u1 = 6.9; u2 = 6.51
Solve the problem using the quadratic formula.When water runs out of a hole in a cylindrical container, the height of the water in the container can often be modeled by a quadratic function. Assume that the height of the water in a particular metal can with a small hole can be modeled by h = 0.0005x2 - 0.15x + 8, where x is the time (sec) and h is the height (cm). Use the quadratic formula to estimate the time when the height is 6 cm. Round your answer to the nearest second.
A. 21 sec B. 20 sec C. 18 sec D. 14 sec
Solve the problem.If money is invested for 3 years with interest compounded annually, the future value of the investment varies directly as the cube of 1 + r, where r is the interest rate. If the future value of the investment is $9317.00 when the rate is 10%, what rate gives a future value of $8575.30? Round to the nearest whole percent.
A. 6% B. 8% C. 7% D. 9%