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The straight line with equation 16x-31y= 0 lies just above the two points (6,3)and (10,5). I move the line downward through the Cartesian Plane in a parallel manner (see the diagram below) until it crosses over to the other side of the two points. Which of the two points will the line cross over first (or will the line hit both points at the same time)? Give reasons for your answer
A car rental agency rents 210 cars per day at a rate of 32 dollars per day. For each 1 dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income, and what is the maximum income..
Suppose that a homeowner has 380 feet of fencing and she wishes to enclose a rectangular area at back. What is the maximum area that she can enclose with the fencing that she has available?
We have seen that if Y has a binomial distribution with parameters n and p, then Y/n is an unbiased estimatorofp.To estimate the variance of Y,we generally usen(Y/n)(1-Y/n).
Evergreen Fertilizer Company produces fertilizer. The company’s fixed monthly cost is USD 25,000, and its variable cost per pound of fertilizer is USD 0.15. Evergreen sells the fertilizer for USD 0.40 per pound. Calculate the monthly break even volum..
Recall that S_N (f)(x)= sum (n=-N to N) c_n e^{inx}= 1/2pi integral (from -pi to pi) f(x-t)sin ((N+1/2)t)/sin(t/2) dt
The success of an organization depends heavily on its structure, strategies, and culture. In this assignment, you will develop an understanding of the importance of these elements in the success/failure of an enterprise.
A volcano fills the volume between the graphs z=0 and z=1/(x^2+y^2)^9 and outside the cylinder x^2+y^2=1. Find the volume of the volcano.
Let S be the part of the plane 2x+2y+z=2 which lies in the first octant, oriented upward. Find the flux of the vector field F=4i+1j+2k across the surface S.
Alex buys the chocolate-strawberry mousse cake for 12 dollars. Alex values choclate three times as much as he values strawberry. What is the value of the chocolate cake to Alex?
Determine the probability on rating
An initial population of 655 quail increases at an annual rate of 18%. Write an exponential function to model the quail population.
What is the probability that the rat will turn left on the second trial?
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