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find the perimeter of the triangle lying in xyz-space with vertices at the points: (5,-2,3), (4,7,3), and (4,7,9)
A jar contains m+n tickets, numbered 1,2,...,n+m. A set of size n is drawn. If we let X be the number of tickets drawn, whose numbers exceed each of the numbers of those remaining, compute the probability mass function of X.
how do you solve the volume of a rectangular chinese box is given by the formula V=LWH the volume shown on the right is 160 cu units find the width and the length.
Finding the accumulated value of compound interest.
A cup of coffee at 179 degrees is poured into a mug and left in a room at 66 degrees. After 7 minutes, the coffee is 133 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case)dT/dt=k(T-66).What is the t..
What is the probability that among the 12 months of the year there are 3 non necessarily consecutive months containing exactly 4 birthdays?
Find the gradient of the function and the maximum value of the directional derivative at the indicated point:
Assuming you are the financial manager of a for-profit hospital, what is the hospital's cost of capital assuming that the hospital has the following capital structure on its Statement of Financial Position
Utilizing malthus method, Suppose that a culture of bacteria has initial population of n=100. If the population doubles every three days
Where x is the number of hours required by a skilled craftsperson and y is the number of hours required by a semi-skilled person. Find values of x and y that minimize the labor charge. Find the minimum labor charge.
Modelling the Rules of a Game. Alex and Mark are playing a game. The goal is to get to 100. The first player picks a whole number from 1 to 10, inclusive, and then the second player picks a whole number from 1 to 10 and adds it to the score so far..
Determine the volume of cement contained in the tank as a function of the depth of the cement.
Evaluate a function on fixed-point iteration will converge to a positive solution of the equation.
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