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1) The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation
2) What is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.5?
in a study of 11000 car crashes, it was found that 5599 of them occured within 5 miles of home (based on insurance company data). use a 0.01 significance level to test the claim that more than 50% of car crashes occur within 5 miles of home.
Why do we measure perimeter in ft, area in ft^2 (or feet squared), and volume in ft^3 (or feet cubed)? What does each mean within the strand of measurement?
Show that the osculating plane at every point on the curve r(t)= is the same plane. What can you conclude about the curve?
For which values of k are the following vectors u and v orthogonal? Let u,v be orthogonal unit vectors. Prove that d(u,v) = 2^(1/2)
A 25-by-33-inch sheet of paper is to be used for a poster, with the shorter side at the bottom. The margins at the sides and top are to have the same width, and the bottom margin is to be twice as wide as the other margins. Find the width of the m..
Consider a bivariate normal population with u1=0,u2=2,σ11=2,σ22=1,and p12=.5, write out the bivariate normal density.
A satellite dish with a parabolic cross section is 6 feet in diameter. the receiver is located on the center axis, 1 foot from the base of the dish. How deep is the dish at its center?
What is the probability that a bag will weigh more than 40 pounds?
The width of a rectangle is 1 foot less than the length. The area is 20 feet squared. Find the length and width.
A thin plate occupies the region x^2/4 + y^2/9 is less than or equal to 1. If the temerature of the plate is T(x,y)= x^2 + y^2 - 5y + 5, find the coldest and hottest points on the plate.
find the sum of the perimeters and the sum of the areas of all the squares, including the initial one.
Given A = a*p_hat + b*psi_hat + c*z_hat (cylindrical unit vectors), where a, b, and c are constants. Is A a constant vector (uniform vector field)? If not, find: the divergence and curl of A
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