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If you use a 0.10 level of significance in a two-tail hypothesis test, what is your decision rule for rejecting a null hypothesis that the population mean is 500 if you use the Z test?
Find the total profit,the maximum value of the total profit, and the value of x at which it occurs when the revenue is given by R(x)=210x-x^2 and the cost is given by C(x)=5000+8x.
The future value of a simple interested investment is given by S=P(1+rt), where P is the principal invested at a simple interest rate r for t years. What principal P must be invested for t=10 months at the simple interest rate r=5% so that the fu..
The heights of a certain species of plant are normally distributed, with mean 23 cm and standard deviation 1 cm. What is the probability tha a plant chosen at random
What conclusion should be drawn from these results?
Define hλ(x) = e-λx^2 for any λ > 0. Calculate the Fourier transform h˜λ of hλ. Calculate the convolution g = hλ ∗ hµ
Consider the following function: y = f(x;a) = a2 + x - ax2 , where a > 0 is a parameter. Find the first order condition for a critical point of this function.
Suppose that curves r1(t)= and r2(s)= both lie on a surface S and intersect at point P(0,4,0). Find the equation of a tangent plane to surface S at point P.
A classic problem from Calculus I is to take a wire of length L and cut it into pieces. How much area is enclosed in the square? How much area is enclosed in the circle? What is the maximum enclosed area?
Evaluate the sequence generated by generating functions
How are the slopes of Linearization functions related - If the graph of L1(x) is not a horizontal line, then show that L2(x) is the inverse funciton of L1(x)
A key raw material is rationed so that total production must be restricted to 200 units. Find the production levels that now maximize profits.
Estimate gauge repeatability and reproducibility.
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