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a reservoir 80 meter long and its cross section is an isosceles trapezoid having equal sides of 10 meter, and an upper base of 17 meter, and a lower base of 5 meter. at the instant when the water is 5 meter deep, find the rate at which the water is leaking out if the water level is falling at the rate of 0.1 meter per hour.
Use the central limit theorem to find the probability that the average number of moths in 40 traps is greater than 0.6. Give your answer to four decimal places.
A company wishes to manufacture a box with a value of 28 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minumum amount of material.
Find the 95% confidence internal for the standard deviation
color guard is making flags that must have a base of 18 inches for flagpoles. what is the maximum length of the triangular flags, if they want to use a maximum of 252in.^2 of cloth?
Find the coordinates of the vertices of the feasible set for the following system of inequalities.
the population in millions of a bacteria culture after t hours is given by y=30 x 1.2t
Describe a computer-based simulation for the manufacturing of 1000 cell phones. use your simulation results (5 simulations)to determine the probability of obtaining a defective phone for each simulation if an outcome of 1 or 2 is considered to be ..
Give the horizontal asymptotes. Graph the function by dividing the axis and tell if the graph is above or below the axis for it's intervals.
A diagnostic test is a procedure which gives a quick, but not always reliable, indication of whether a patient has a certain disease. Test results are said to be "positive" if, after testing, the person is thought to have the disease and "negative..
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)
Let I be the ring of integral Hamilton Quaternions and define N: I ->Z by N(a+bi+cj+dk) = a^2 +b^2 +c^2+d^2
The bus averaged 40 mph on the drive from Columbus to Athens but averaged 60 mph during the return trip. What was the average speed of the bus for the entire trip?
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