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Question: From the formula for the number of onto functions, find a formula for S(n, k) which is defined in Problem. These numbers are called Stirling numbers (of the second kind).
Problem: If we roll 8 dice, what is the probability that each of the numbers 1 through 6 appear on top at least once? What about with 9 dice?
Find the integrals- 1∫5 s ds / √(s2 + 4). Use the quotient rule to differentiate- y= (2x4 - 3x) / (4x - 1). Sketch the curve for y = sin(x) between x = 0 and x = 2Π.
Mai has 6 1/4 pounds of clay. Each clay figure she makes takes 5/6 pounds of clay. How many clay figures can she make? If she has any clay left over, explain how you can find how many pounds of clay she has left over.
Assume that my lawn is encroaching my garden and reduces my space on average by 8% each year. Approximately how many years before the garden space has been cut in half? Answer = 8.8 70/8=8.75 round up t
The air-conditioning unit is hoisted to the roof of a building using the three cables. If the tensions in the cables are TA, TB and TC, determine the weight of the unit and the location (x, y) of its center of gravity G.
Calculate the unpaid balance on debt after 5 years of monthly payments on $160,000 @3% for 25 years.
Interest from the 6% account is paid out annually and is reinvested at an annual effective discount rate of 4%. At the end of the thirty years, the funds are liquidated. Find the investor's accumulated value at the time of liquidation.
Why might a random sample not be a representative sample of the study population?
Find the probabilities that the sample, drawn without replacement, contains the following, All blue balls, Exactly 2 black balls
How does calculus relate to business in the real world?
Calculate the crude rate of heart disease for each of the two countries. Suppose that you want to compare the rate of heart disease in India to that in the United States. You know that age is an important risk factor for heart disease. Examine the..
Using the standard normal distribution, find each probability. For the first 7 months of the year, the average precipitation in Toledo, Ohio, is 19.32 inches. If the average precipitation is normally distributed with a standard deviation of 2.44, f..
Calculate an interval estimate for the mean life, , of light bulbs of this type. In other words, construct a 90% confidence interval for the mean life, , of light bulbs of this type
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