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Two vertical,cylindrical tanks,each 10 m high are installed side by side in a tank farm,their bottom by a horizontal pipe 2 meters long,with pipe inside diameter 0,03 m.The first tanks(1) is full of oil and the second tank(2) is empty.Moreever,tanks 1 has a cross-sectional area twice that of tanks 2.The first tank also has another outlet (to atmosphere)at the bottom composed of a short horizontal pipe 2 m long,0,03m diameter.Both of the valves for the horizontal pipes are opened simultaneously.What is the maximum oil level in tank 2? assume laminar flow in the horizontal pipes and neglect kinetic entrance-exit losses
Find Probability -Length of Machine Produced Metal Strips. Length of metal strips produced by a machine are normally distributed with mean length of 150 cm
at a convenience store there is a 25 chance a customer enters the store within one minute of closing time. describe the
1. in a random sample of 60 computers the mean repair costnbsp is 150 with a standard deviation of 36. construct a 99
Let R be the region bounded by the curves f(x) = ln(x+3) +2 and g(x) = x^2 - 8x + 18. Using the washer method, find the volume of the shape which is formed if R is rotated around the x- axis.
If a 90% confidence interval for the true mean wingspan for all dragonflies is calculated, do you expect this interval be wider or narrower than the interval obtained in part (a)? Why?
An industrial tank (a solid formed by adjoining two hemispheres to the ends of a right circular cylinder) must have a volume of 4000 cubic feet. The hemispherical ends cost twice as much per square foot of surface area as the sides. Find the dimen..
Let X be a continuous random variable with the PDF f and the CDF F. Assume that f(x) > 0 for all real numbers x. Define the random variable Y = F (X ). Show that Y is uniform in the interval [0, 1].
Probability: Moment Generating Functions and Poisson Process Let X be a discrete random variable with probability mass function Pr {X=k} = c(1+ k^2) for k= -2, -1, 0, 1, 2.
Find the relationship between dyspnea on exertion
The metal used to make the top and bottom of a cylindrical can costs 4 cents/in^2, while the metal used for the sides costs 2 cents/in^2. The volume of the can is to be exactly 100 in^3. What should the dimensions of the can be to minimize the cos..
an empty water tank is being filled by a pump. after 2 mins the tank contains 125 gallons. if the volume of water in the tank varies directly as the time the water is pumped, find k and rewrite an equation to show the relationship.
An equation for the tangent plane to the sphere and which passes through the point (5, -8, 5) and which is perpendicular to the plane 2x - y + 4z + 4 = 0 intersects that plane at the point
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