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A rectangular box is to have a square base and a volume of 40 ft3. If the material for the base costs $0.30 per square foot, the material for the sides costs $0.05 per square foot, and the material for the top costs $0.20 per square foot, determine the dimensions of the box that can be constructed at minimum cost.
Consider a normal population with µ = 25 and Ï? = 8.0. Calculate the standard score for a value x of 23. Calculate the standard score for a randomly selected sample of 45 with X(line on top)= 23.
Prove that the subgroup of A4 generated by any element of order 2 and and any element of order 3 is all of A4. Prove that if x and y are distinct 3-cycles in S4 with x != y^-1 (x not equal to the inverse of y), then the subgroup of S4 generated by x..
Convex Sets and Linear Transformations, Prove that the following sets are convex, where E stands for the sum symbol:
The surface areas of two similar solids are 311 ft2 and 1,037 ft2. The volume of the larger solid is 1,755 ft3. What is the volume of the smaller solid?
Please evaluate the following integral using the formula for integration by parts, Please show detailed solution, including substitution(s) used.
a rectangular garden has a perimeter of 184 feet. the length of the garden is 22 feet more then the width. what are the dimensions of the garden?
In order to control costs, a company wishes to study the amount of money its sales force spends entertaining clients. The following is a random sample of six entertainment expenses (dinner costs for four people) from expenses reports submitted by ..
Biased Bernoulli Process, Suppose that two teams that meet in the world series are closely matched: the better team wins a given game with a probability of .55
A farmer had several pens out by the barn. He had used 17 lenghts of fence to make the pens, but now he needs to use six of those fence lengths for another project. He wants to remove six fence lenghts but still have two square pens remaing. Which..
State the null & alternative hypotheses in words
Consider the matrix A of the linear transformation T in two dimensional space that rotates all vectors 45 degrees in the clockwise direction, and then shrinks their horizontal component by a factor of two.
Use a graphing calculator, a spreadsheet, or mathematical software to obtain the solution. Find the APR on a 20-year mortgage of $562,000 carrying a stated interest rate of 4.5% compounded monthly and seven points.
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