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Prove that the two-dimensional compression of a Gaussian function in three dimensions is still a Gaussian.
Hint: the three-dimensional Gaussian is:
Hypothesis test for single mean
a boat's crew rowed 18 miles downstream, with the current, in 2 hours. The return trip upstream, against the current, covered the same distance, but took 4.5 hours. Find the crew's rowing rate in still water and the rate of the current.
While walking along at a constant speed, project a ball vertically into the air. If you continue to walk without changing your speed or direction, where will the ball land? Draw a diagram of the balls flight, indicating the forces acting on it.
the width of a rectangle is fixed at 19 cm. what lengths will make the perimeter greater thatn 84 cm?
Find the value of the linear correlation coefficient r.
A baseball player runs from home plate towards first base at 20 ft/s. How fast is the player's distance from second base changing when the player is three-quarters of the way to the first base? Give your answer correct to two decimal places.
The farmer wants to buy not more than pounds of Type A feed and not more than pounds of Type B feed. Type A feed costs him cents per pound, and Type B feed costs him cents per pound. How many pounds of each type should the farmer buy to minimize t..
80,000 loan and a 38,250 mustbe repaid within ten years. What integer would represent your total budget?
At what rate is the angle between the string and the horizontal changing whe 200ft of string has been let out, i.e., the distance from the kite to the person flying the kite is 200 feet? Is the size of the angle increasing or decreasing? (you may ..
Choosing a phone plan in a college dormitory, each student has a choice of two phone companies. Company A charges $7.46 per month plus 13 cents a call and Company B charges $6.17 per month plus 17 cents per call. About how many phone calls do you ..
In a class evaluation exercise, you are given a statement and are asked to indicate your reaction to it, on a scale from 1 - Strongly Agree to 5 - Strongly Disagree. What type of numbers are these?
Cars pass a certain street location according to a Poisson process with rate λ. A woman who want to cross the street at that location waits until she can see that no cars will come by in the next T time units.
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