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A small farm has 70 acres of space to plant. The farmer wants to grow green beans and corn. It cost $60 per acre to grow the corn and $30 per acre to grow the green beans. The farmer has $1800 to use for planting the vegetables. It takes the farmer 3 day to plant each acre of corn and 4 days to plant each acre of green beans. There are 120 days available to plant the vegetables, he can expect to make a profit of $180 per acre for the corn and $100 per acre for the green beans. How many acres should the farmer allow for each vegetable in order to maximize profit?
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.
Griselda budgets 45 per month before sales tax for clothes. How much will she spend on clothes each month if she is charged 6 sales tax?
Find the volume of the solid generated by revolving the region bounded by the graph of y=x*sqrt(4-x squared), y=0 about the x axis.
Give the mean and standard deviation for the coin variable and compare these to the mean and standard deviation for the binomial distribution that was calculate in question 5. explain how they are related. mean=np, standard deviation
In the example we modeled the world population in the second half of the 20th century by the equation.
Mary is taking courses in both Reading and English. She estimates her probability of passing Reading of 0.4 and English at 0.6 and she estimates her probability of passing at least one of them at 0.8.
The gas law for a fixed mass m of an ideal gas at absolute temperature T, pressure P, and volume V is PV=mRT, where R is the gas constant. Show that
What is the probability that a California adult is an internet user, given that he or she is a college graduate? Round your answer to 2 decimal places.
Evaluate the integral: Where E is the tetrahedron enclosed by the coordinate planes x=0, y=0, z=0 and the plane 2x + y + z = 4.
Test using the traditional approach with α = 0.05
What is the average number of customers at the tax service, whether waiting for the tax preparer or having the return prepared?
Given f( x) = 2/x-1 , use the four step process to find a slope predictor function m(x). Then write an equation for the line tangent to the curve at the point x = 0.
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