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A ball is thrown vertically upward with an initial velocity of 48ft/sec and a height of 8ft, then its height s(t) from the ground level at time t is given by s(t) = -16t2 + 48t + 8.
(1) Determine the time it takes the ball to reach its maximum height:(2) Determine the maximum height the ball reaches.(3) Determine the time it takes the ball to hit the ground.
Find the true mean completion time of the task
Determine the steady-state probabilities for this transition matrix algebraically and explain what they mean.
Information on a packet of seeds claims that the germination rate is 92%. The packet contains 160 seeds. We will treat the packet as a random sample of seeds. Find the standard error of the proportion. Show 4 decimal places in your answer.
Billy likes to go cycling. His bike has wheels of a diameter 75. He has invented a counter for his bike, which counts the revolutions the wheel makes. One day the counter shows 370 revolutions. How far has billy cycled?
Suppose that N and M are two normal subgroups of G and that N intersection M = (e). Show that for any n belongs to N, m belongs to M, nm = mn.
A chemist needs 140 ml of a 66% solution but has only 51% and 93% solutions available. Find how many ml of each that should be mixed to get the desired solution.
A computer processes jobs on a first-come first-serve basis in a time-sharing environment. The jobs have Poisson arrival rates with an average of six minutes between arrivals.
a woman 6ft tall walks away from a light 10 ft above the ground. if her shadow lengthens at the rate of 2ft per sec, how fast is she walking?
Cutter Enterprises purchased equipment for $72,000 on January 1, 2006. The equipment is expected to have a five-year life, with a residual value of $6,000 at the end of five years.
In an 8 inch square cake pan and a 9 inch square cake pan, what is the difference in volume each pan will hold? Assume each pan is 2.5 inches high. Show step by step work. Include correct units with your solution.
What is the mean value of the one trial of this game?
A gun is fired with angle of elevation 30°. What is the muzzle speed if the maximum height of the shell is 486 m? (Round the answer to the nearest whole number. g ≈ 9.8 m/s2)
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