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Question: We have a nickel, dime and quarter in a cup. We withdraw two coins, first one and then the second, without replacement. What is the expected amount of money and variance for the first draw? For the second draw? For the sum of both draws?
We use the Fourier expansions of certain poynomial functions to compute the sum of some useful numerical series. The formulas are quite general and give, at the end, the Fourier expansion of every polynomial function.
An airplane has an airspeed of 590km/h bearing 50 degrees° north of east. The wind velocity is 80km/h in the direction 28 degrees° north of west. Find the resultant velocity representing the path of the airplane with respect to the ground.
Use differentials to find the change in µ if θ changes from 18° to 20°.
Some people shake hands. Show that among those who shook at least one hand, two people shook the same number of hands.
A trough is 14 ft long and its ends have the shape of isosceles triangles that are 2 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 11 ft3/min, how fast is the water level rising when the wate..
if the number of minutes it takes a service station attendant to balance a tire is a random variable having an
The circumference of a sphere was measured to be 80000 cm with a possible error of 050000 cm. Use linear approximation to estimate the maximum error in the calculated surface area.
An object on the end of a spring is moving so that its displacement (in cm) from the equilibrium position is given by y = e-0.5t (0.4 cos 6t - 0.2 sin 6t).
Let Sn be the total assets of an insurance company at the end of year n. Suppose that in year n the company receives premiums of c and pays claims totaling ξn, where ξn are independent with Normal (µ, σ2) distribution, where 0
the fine brothers curly larry amp moe signed a 7 year lease on a new dump truck for their new construction business.
What is the maximum height of the arch?
fixed axis has an angular position given by theta = 3.0 - 2.0t3, where theta is measured in radians and t in seconds. What is the angular acceleration of the wheel at t = 2.0 s?
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