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The dean at a small college wishes to form an experimental section of General Psychology with 37 students chosen from 24 women and 17 men interested in social science.
(a) How many different such classes are possible?
(b) The dean decides the class should have 22 women and 15 men. How many possible classes are there now? Compare the number of possible classes to the solution to (a).
Customers arrive into a queue, where they are served, and then depart. We model the time between two successive arrivals by an exponential distribution with an arrival rate l=9
Kira owes $6125 and agrees to pay $175 a month until paid. Let A represent the amount owed (in dollars) and let N represent the number of payments made.
Compute the Wronskian of the given set of functions, then determine whether the function is linearly dependent or linearly independent: x^2 - x, x^2 + x, x^2, all x
Compute the surface integral over the given oriented surface.
Determine the length of pipe that a gas company will need to connect a house which is situated at the point (-6,8) to a gas line whose equation is y=-3x+2.
Find the probability of getting less than six correct answers.
The surface area of this pyramid is 189 cm The area of the square base is 49 cm sq . What is the area of one triangular face of the lateral surface? Show the steps of your solution and explain your work.
Let f(z)=u+iv be an analytic function, phi(u,v) any function with second order partial derivatives and g(u,v) any function with first order partial derivatives.
To determine the dimensions of a rectangular container and evaluate the derivative of the given equation.
There are two small cities, Santa Clara and Santa Rosa. Santa Clara has 20 houses and Santa Rosa has 15 houses. An inspector must randomly choose 5 houses in Santa Clara and 7 houses in Santa Rosa to inspect.
If A is nonsingular, show that the characteristic values of A^(-1) are the reciprocals of A, and that A and A^(-1) have the same characteristic vectors.
What is the accounts receivables turnover rate?
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