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In a certain year, the mean intrest rate (in percent) for new auto loans was 11.28 nationally with a satnadard deviation of 1.5. In order to monitor the interest rates on new auto loans, a simple random sample of 50 loans is obtained. What is the probability that the mean interest rate in this sample is within .2 of the national average? Show all work clearly
Consider a bowl containing 36 different slips of paper. Ten of the slips of paper each contain one of the set of digits 0 through 9 and 26 slips each contain one of the 26 letters of the alphabet
Uniform Distribution and a 20-Sided Die, In this problem there are two ways to solve one is the largest way counting every pair of the outcome and the other is the smallest, using CDF.
Compare and contrast permutations and distinguishable permutations. Provide a formula for each and state the fundamental counting principle and explain it in your own words.
You determine that 1 ounce of the peanut butter contains 115 calories and 9 grams of fat. What percent of calories come from fat?
A company wishes to manufacture a box with a volume of 36 square feet that is open on the top and is twice as long as it is wide. Find the dimensions of the box produced from the minimal amount of the material.
The spot rate of the British pound to the dollar is 1.68 ($/£). The 180 day forward rate is $1.71, what is the annualized forward premium?
The sum of three numbers is 6. The third number is the sum of the first and second numbers. The first number is one more than the thrid number. Find the numbers.
a 25 ft by 35 ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 544 ft^2, how wise is the walkway?
A baseball diamond has the shape of a square with sides 90 feet long. A player running from second base to third base at a speed of 28 feet per second is 30 feet from third base.
Change into symbolic notation - Roses are red and violets are blue
Explain why G cannot contain a subdivision of K5, but must contain a subdivision of K3 and draw two such a graphs, one in which K3,3 is a subgraph, and One in which there is a proper subdivision of K3,3 as a subgraph
Calculating Projected Net Income. A proposed new investment has projected sales of $825,000. Variable costs are 55 percent of sales, and fixed costs are $187,150; depreciation is $91,000. Prepare a pro forma income statement assuming a tax rate of..
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