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Describe the two methods to simplify a complex fraction. Which of the two methods for simplifying a complex fraction is simpler? Explain your reasoning.
Air is pumped into a spherical balloon, so the balloon expands. The volume of a sphere of radius R is . If the radius of the sphere after t seconds is 2t centimeters, at what rate is air being pumped in when t=5?
if f and g are differentiable function on [a,b], what identifies the extrema of f+g or fg. Do these extrema relate to the extrema of the functions?
There is a very famous distribution that describes the frequency of the number of times a number comes up in a series of dice rolls, what is its name?
Probability and chance A prison has 20 balls, 10 black and 10 white. The prisoner is to arrange the balls in 2 boxes. All of the balls must be used and there must be at least one ball in each box.
Tell how you could use a proportion to find 138% of 967.Why is the solution greater than the original number?
A final exam in Sociology has a mean of 72 and a standard deviation of 9.2. if 35 students are randomly selected, find the probability that the mean of their test scores will be greater than 76.
If {Phi_0, Phi_1, ..., Phi_n,...} are orthogonal polynomials in which are normalised to be monic (i.e. have leading coefficient equal to 1) show that ||Phi_k||
Until recently, with the advent of cellular phones, modems, and pagers, the area codes in the United States and Canada followed a certain system
Please outline the specific problem, your solution and how the specific problem solving guidelines were applied. Be sure to carefully tell us how you applied each of the guidelines to your problem.
One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations and variances of X and Y.
An architect has designed a motel pool within a rectangular area that is fenced on three sides. If she uses 60 yards of fencing to enclose an area of 352 square yards, then what are the dimensions marked L and W? Assume L is greater than W.
A college student is interested whether there is a difference between male and female students in the amount of time spending working out each week. The student gathers information from a random sample of male and female students on her campus.
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