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1. Find the area of the part of the surface 2z = x^2 that lies directly above the triangle in the xy-plane with the vertices at (0,0),(1,0) and (1,1).
2. Find the volume of the region in the first octant that is bounded by the hyperbolic cylinders xy = 1, xy = 9, xz = 4, yz = 1, and yz = 16. Use the transformation u = xy, v = xz, w = yz. Note that uvw = x²y²z².
A bag contains 8 black balls and 6 white balls. Two balls are drawn out at random, one after the other without replacement. calculate the probabilities that The second ball is black
If n points are equally spaced on the circumference of a circle, what is the probability that three points chosen at random will form a right triangle?
From a group of three finalists for a privately endowed scholarship, two individuals are to be selected for the first and second places. Determine the number of possible selections.
Calculate the result from the given survey of voters - Evaluate the standard deviation from the range (i.e., use the range rule of thumb).
Two trains leave stations 75 miles apart at the same time heading toward one another on parallel tracks. Train A is traveling 60 miles per hour, while Train B is going 65 miles per hour.
Use critical value z0 method from the normal distribution
Calculate the mean of the distribution of sample means and the population mean.
A landscaper blends his own fertilizer which consists of four compounds at the listed price per lb: Formulate an LP problem to determine what blend of these compounds will minimize the cost of a 50lb bag of fertilizer given the following:
On a recent English test, students were given the names of four authors and four novels (one author one title), and asked to match each novel, with the correct author. If a student just guesses randomly, what is the probability of getting zero, on..
In a survey of 700 randomly selected workers, 16 percent got their jobs through newspaper ads. Consider hypothesis test that uses 0.05 significance level [95 percent confidence interval], test the claim that less than 20 percent of workers got thei..
Solve the problem on discrete distribution.
If a system of m linear equations in four unknowns has a unique solution, then m must be greater than or equal to four. If a system of m linear equations in four unknowns has no solutions, then m must be greater than or equal to four.
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