Asmall farmer in a developing country grows cassava and groundnuts. the amount of cassava he grows per year is a random variable, x, with a mean of 500 pounds, and a variance of 625 (pounds-squared). the amount of groundnuts he grows per year is a random variable, y, with a mean of 700 pounds, and a variance of 2500 (pounds-squared). the amounts of cassava and groundnuts he grows have a covariance of 475. the farmer uses 400 pounds of cassava and 300 pounds of groundnuts for consumption by his family. the remainder of each crop is sold for cash. he can sell cassava for $2 per pound, and groundnuts for $3 per pound. what is the farmer’s expected cash income?

I'm a polygon i have no parallel lines i am formed 3 line segments i have one right angle two of my angles are angles what am i

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)

Atourist boat is used for sightseeing in a nearby river. the boat travels 2.4 miles downstream and in the same amount of time, it travels 1.8 miles upstream. if the boat travels at an average speed of 21 miles per hour in the still water, find the current of the river.