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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:
Compute the test statistics used to test the null hypothesis that p1=p2. A report on the nightly news broadcast stated that 15 out of 140 households with pet dogs were burglarized and 20 out of 180 without pet dogs were burglarized.
Do you always use the distributive property when multiplying monomials and polynomials? Explain why or why not. In what situations would distribution become important?
A square's side is increased by 9 yards, which corresponds to an increase in the area by 243 square yards. How many yards is the side of the initial square?
Jill's father bought Jill a car with the understanding that she would pay the car off in four years by making equal monthly installments. The car cost her father $5000 plus 9% sales tax. How much are the monthly payments Jill must make to her fath..
for its breakfast special a restaurant offers fried eggs or scrambled eggs with ham or bacon or sauage plus a choice of 5 different kinds of toast. how many different breakfasts are possible.
Probability from stem and leaf plot, The ages of 25 employees in a company are listed below in a stem and leaf plot. What is the probability that a worker chosen at random
A random variable defined on all real numbers has a probability density proportional to: c/ X2 + 1. What is c? What is the probability that the random variable lies between 0 and 1?
Water is poured into a container that has a leak. The mass m of the water is given as a function of time t by m = 4.8t0.8 - 3.1t + 19, with t ≥ 0, m in grams, and t in seconds.
How many six-digit even numbers less than 200,000 can be formed using all the digits 1, 1, 2, 2, 3 and 5? How many permutations of the letters in the name ABBA are there?
The weight of a product is normally distributed with a mean of four ounces and a variance of 0.25 "squared ounces".
a drop of oil measuring 0.12 cubic centimeter is spilled onto a lack. the oil spreads out in a circular shape having a diameter of 23 centimeters. approximate the thickness of the oil film.
travelling at a rate of 65.5 km/h and its tires that have a radius of 33.6 cm. Find the angular velocity of the wheels of the car.
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