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Two Children balance on the seesaw. The 40 lb child is 5 ft from the fulcrum. How far from the fulcrum is the 50 lb child ?


A storage tank is a right circular cylinder 20 ft long and 8 ft in diameter with

its axis horizontal. If the tank is half full of olive oil weighing 57 lb/ft3, find the

work done in emptying it through a pipe that runs from the bottom of the

tank to an outlet that is 6 ft above the top of the tank.


A spring, whose unstretched length is 2.0 m is compressed to a length of 1/2 m

when a force of 10 N is applied. Find the work required to compress the spring

to a length of 1.0 m.


A researcher claims that 10 year olds watch 6.6 hours of TV daily with SD = 2.5 hours. You try to verify this with the following sample data of 100 and a sample mean of 6.1 hours. Test the claim of the researcher. Test at α = .01




there is a potential difference of v = 20 V across a resistor with r = 50 ohms. what is the current through the resistor


A Research Director of a certain university wants to replicate the result of the study 10 years ago with a standard deviation of 0.14. He wants to estimate the population mean to within an error of 0.04 of its true value. Using 95% confidence level, what is the sample size that he needs?


What is the quantity and how to dissolve silver chromate in nitric acid

The joint probability density of X, Y is

f(x, y) = e −(x + y) xi > 0 i = 1, 2

0 otherwise

Using the change of variable technique, determine the joint distribution of Z = X and W = X + Y


Suppose that X1 and X2 have the joint probability distribution

f(x1, x2) = kx1x2 x1 = 1, 2, 3 x2 = 2, 3, 4

0, otherwise

Find the value of k so that the two variables are independent of each other


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