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A packing plant uses a 928 feet conveyor belt to move filled cans to the crating area. When a can falls off of the belt it is equally likely to do so at any point along the route. Let X be the distance, in feet, from the start of the belt to the point where the next can falls off of the belt. Assuming that X has a uniform distribution, find a formula for Fx(X) and use this to compute the probability that the can falls off at a point on the first 319 feet of the belt.
For this problem please state the method you used and show the work required to obtain the answer. Find the general solution for each of the systems:
How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters? We want 98% confidence that the sample mean is within 2 minutes of the population mean, and the population standard deviation is known to be 11 mi..
Make a meaningful example illustrating Project Evaluation and Review Technique (PERT). Explain all details. Draw the graphs involved. Use reasonable number of tasks.
A telephone pole 35ft. tall has a guy wire attached to it 5 ft. from the top and tied to a ring on the ground 15 feet from the base of the pole.
Find all of the real zeros of the polynomial P(x)=3⋅x4+48⋅x3+216⋅x2+228⋅x-135. List the zeros in any order and separate them with commas.
Find the mean score
The strategy that maximizes the campus bookstore earnings.
a carpenter is building a rectangular room with a fixed perimiter of 300 ft. What dimensions would yield the maximum area? what is the maximum area?
Let f:R->R be uniformly continuous on R (the reals) and let f_n(x)=f(x+1/n) for x in the reals. Show that (f_n) converges uniformly on the reals to f.
Jill's father bought Jill a car with the understanding that she would pay the car off in four years by making equal monthly installments. The car cost her father $5000 plus 9% sales tax. How much are the monthly payments Jill must make to her fath..
Use the leading coefficient test to determine the behavior of the function.
Let M>0, and let f:[a,b]-->R be a function which is continuous on [a,b] and differentiable on (a,b), and such that |f'(x)|
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