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A swimming pool is circular with a 20-ft diameter. The depth is constant along east-west lines and increases linearly from 4 ft at the south end to 9 ft at the north end. Find the volume of water in the pool. (Round the answer to the nearest whole number.)
We are learning Rolle, Lagrange, Fermat, Taylor Theorems in our Real Analysis class. We just finished continuity and are now studying differentiation.
How many times does the athlete's heart beat during the first 20 minutes of the workout? Give your answer to the nearest complete heartbeat.
The displacement s cm of the end of a stiff spring at time t seconds is given by: s = a (e^-kt) sin 2πft. Determine the velocity and acceleration of the end of the spring after 2 seconds if a = 3, k = 0.75 and f = 20.
Let X be given the co-finite topology. Suppose that X is a infinite set. Is X Hausdorff? Should compact subsets of X be closed? What are compact subsets of X?
Find the mean values for this variable.
Find an equation of the tangent to the curve at the given point by both eliminating the parameter and without eliminating the parameter.
Calculate the standard deviation
Probability: Joint Probability Mass Function, Covariance and Variance Let X and Y have joint probability mass function Pr{X = i, Y = j}= c(i + 1)(j + 2) for i >= 0, j >= 0, and i + j
Using excel I'm trying to create a probability tree showing all marginal, conditional and joint probabilities. Im also trying to develop a joint probability table and determine the probability that an employee selected at random would fail the man..
A metal storage tank with a mximum volume of 500 m^3 is to be constructed in the shape of a right circular sylinder surmounted by a hemisphere. What radial and height dimensions will require the least amount of material?
Let X be a continuous random variable with the PDF f and the CDF F. Assume that f(x) > 0 for all real numbers x. Define the random variable Y = F (X ). Show that Y is uniform in the interval [0, 1].
a rancher has 450 ft. of fencing with which to enclose two corrals. The rancher wishes to contruct two corrals next to each other.
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