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A 140 ft tower is located on the side of a mountain that is inclined 32° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 55 ft downhill from the base of the tower. Find the shortest length of wire needed.
List all the binary relations on the set {0,1}. List the reflexive relations on the set {0,1}.
State the null and alternative hypotheses
An inspection procedure at a manufacturing plant involves picking 3 items in a random and then accepting the whole lot if at least 2 or 3 items are in perfect condition. if in reality 90% of the lots are perfect, what's the probability the whole l..
For the normal distribtion, the mean plus and minus 1.96 standard deviation will include what percent of the observations? What is the formula to calculate the percentage?
Computing the Volume of a regular tetrahedron of edge length 2(alpha). Explain how to compute the volume of a regular tetrahedron of edge length 2(alpha).
How many bars and shakes should he consume daily while maximizing his protein intake? What is the maximum daily protein intake?
Define a new metric d on X = (0, 1/2)^2 by d((a,b), (r,s)) = 1 if a is not equal to r Or |b - s| if a = r.
Let R be a commutative ring. Recall that an element x in R is nilpotent if x^n=0 for some positive integer n. Prove that the set of nilpotent elements form an ideal.
What is the probability that the nut fits the bolt? (Note: the sample space consists of all pairs of nuts and bolts, and each pair is equally likely to be chosen.)
The strategy that maximizes the campus bookstore earnings.
How much do you need to invest today to have $500,000 30 years in the future and how much of that total is interest?
A machine to mill a brass plate has a setup cost of $600 and a unit cost of $3 for each plate manufactured. A bigger machine has a setup cost of $800 but a unit cost of only $2 for each plate manufactured. Find the break point.
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