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At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately 3x the altitude. At what rate is the height of the pile changing when the pile is 15 feet high?
Probabilities, A survey of MBA students obtained the following data on "student's first reason for application to the school in which they matriculated".
If the snowfall from 36 randomly selected years are chosen, determine the probability that the snowfall would be less than 95 inches?
Probability. A grab bag contains 10 $1 prizes, 7 $5 prizes, and 5 $20 prizes. Three prizes are chosen at random. Find the following probabilities.
Application of Calculus-Optimization problem - Show that the shortage length of such a rope occurs when θ 1 = θ 2
Hypothesis test for regression
Compute the number of calenders that should be ordered. The J&B Card Shop sells calendars depicting a different Colonial scene each month. The once-a-year order for each year's calendar arrives in September.
If the current levels of input are x = 10 and y = 20, use calculus to estimate the change in input y that should be made to offset an increase of 0.5 in input x so that output will be maintained at its current level.
Probability: Moment Generating Functions and Poisson Process Let X be a discrete random variable with probability mass function Pr {X=k} = c(1+ k^2) for k= -2, -1, 0, 1, 2.
What are the vertical and horizontal forces of a 1200 N force directed to the right and upward at an angle of 43 degrees with the horizontal?
Determine the number of groups under a given condition and How many license plates can a state have if each license plate has 2 letters followed by 4 digits, if the first digit cannot be zero?
Simple linear regression equation
How many different four-digit numbers can be formed from the digits 0 through 9 if the first digit must be even and cannot be zero?
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