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The length of one leg of a right triangle is twice the length of the second leg. The hypotenuse is 15 meters. Find the length of the two legs.
In a tank containing 100 gallons of fresh water, 10 lbs of salt was added instead of 20 lbs. To correct the mistake, fresh water was added at the rate of 3 gallons per minute while draining off the well stirred salt solution from the tank at the s..
Describe how to calculate the odds against an event happening when you know the probability of the event occuring. Use a numerical example to illustrate your explanation.
Show that a function f is measurable IF AND ONLY IF there exists a sequence (f_m) of set functions such that f(x)=lim f_m(x) for almost all x.
she suggests building fences described by y=4x2 and y=x2+5. Farmer Jones thinks this would be much harder than just building an enclosure with straight sides, but he wants to please his wife. What is the area of the enclosed region?
Choose the equation for the hyperbola centered at the origin with the given characteristics:
Objective questions based on regression.
What does the graph look like for the two parabolas y=x^2 and y= -x^2 + 2x - 5 in the same coordinate plane? Find equations of the two lines simultaneously tangent to both parabolas.
find the number of revolutions made by a wheel with a radius of 5ft that traveled 633ft use 3.14 for pie round answer to nearest tenth of revolution.
Studies conducted by the manufacturer of Boston and Vermont asphalt shingles have shown product weight to be a major factor in the customer's perception of quality.
Compute the mean and variance for binomial distribution. Calculate the mean and standard deviation (by hand) for the binomial distribution with the probability of a success being 1/4, 1/2, 3/4.
An army cadet is involved in a compass exercise. He leaves point O and walks 50m due west to point A. He then walks 80m due north to point B and finally 60m on a bearing of 320 deg to point C.
Find and prove a formula for the derivative of the hyperbolic secant function,
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