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A 105 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.
Probability, Combinations and Permutations : Sampling Without Replacement, A basket contains 4 black, 2 red, and 5 green marbles. A sample of three marbles is drawn
Find the regression coefficients.
A random sample of 20 items from the first population showed a mean of 100 and a standard deviation of 15. A sample of 16 items for the second population showed a mean of 94 and a standard deviation of 8.
Of 100 Clock radios with digital turners and /or CD players sold recently in a department store, 70 had digital turners and 90 had CD players. How many radios had both digital turners and CD players?
Solving probability problems based on Binomial distribution
Compute the test statistics used to test the null hypothesis that p1=p2. A report on the nightly news broadcast stated that 15 out of 140 households with pet dogs were burglarized and 20 out of 180 without pet dogs were burglarized.
Find the following antiderivatives for each integral
Using standard partition Pn (0,1) where n greater or equal to 4 and deduce that f is intergrable on (0,1) and evaluate (intergral sign with 1 at top and 0 at bottom) of f
A cable that weighs 6 lb/ft is used to lift 850 lb of coal up a mine shaft 300 ft deep. Find the work done.
find the area of the region that is bounded by the given curve and lies in the specified vector.
Find out how many bacteria there will be at time t in the gremlin's bacteria dish (dn/dt = 3n; t=0 when n=10; t is measured in hours.) How many bacteria will there be after 5 hours?
Calculate the mean level of particulates in the city
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