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Farming A farmer has 1400 feet of fence to enclose a rectanglar area that boreders a river. No fence is needed along the river. Is it possoble fir the farmer to enclose five acres? (1 acre = 43,560 sq feet) If possible, find the dimenstions of the enclissure.
A ship leaves its home port and sails on a bearing of N 28°10' E. Another ship leaves the same port at the same time and sails on a bearing of S 61°50' E. If the first ship sails at 24 mph and the second ship sails at 28 mph, find the distance bet..
Let X and Y have the joint pmf p(x,y) = 1/7, (0,0), (1,0), (0,1), (1,1,), (2,1), (1,2), (2,2), zero elsewhere. Find the correlation coefficient p.
Chuck travels 117 miles in the same time that dana travels 105 miles. If chuck rate of travel is 4mph more than dana's, and they travel the same length of time, at what speed does chuck travel?
Metal storage tank with a maximum volume of 1500 m^3 is to be constructed in the shape of a right circular cylinder surmounted by a hemisphere. What radial and height dimensions will require the least amount of material?
Box A contains the numbers 1, 2, 3, and 4. Box B contains the numbers 5, 6, 7, and 8. A number is first drawn from Box A and then another number from Box B. Using how many outcomes are in the event of getting both numbers even?
Use implicit differentiation to find an equation of the line tangent to the curve x^2 + y^2 at the point (3,-1). Use implicit differentiation to find an equation of the line tangent to xy=12 at the point (4,3)
A motorboat travels 255 mi in 3 hours going upstream and 540 mi in 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Based on a random sample of 16 customer transactions, the mean waiting time is 6.3 minutes and the standard deviation is 2 minutes per customer. What is the value of the test statistic we would use to test Ho?
Please find the 1) length and 2) direction (when defined) of 1) A X B and 2) B X A Please show all work, including the grids for the determinants. Thank you.
At each trial of a game, Don and Greg flip biased coins, simultaneously but independently. For each trial, the probability of heads is pD and pG for Don and Greg, respectively.
Suppose that E is a normed linear space, and C is a subset. Prove that C is weakly bounded if and only if C is norm bounded. Conclude that weakly convergent sequences in E are bounded.
Billy likes to go cycling.His bike has wheels of diameter 75cm. He has invented a counter for his bike, which counts the number of revolutions the wheels make. One day the counter shows 150 revolutions.How far has Billy cycled?
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