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Among 500 freshmen pursuing a business degree at a university, 348 are enrolled in an economics course, 200 are enrolled in a mathematics course, and 123 are enrolled in both an economics and a mathematics course. What is the probability that a freshman selected at random from this group is enrolled in.
Given three points, there is one line that can be drawn through them if the points are colinear. If the three points are noncolinear,there are three lines that can be drawn through pairs of points.
Show that the functions x and x^2 are orthogonal in P5 with inner product defined by ( =sum from i=1 to n of p(xi)*q*(xi) ) where xi=(i-3)/2 for i=1,...,5.
Pauline takes a loan of S dollars at an interest rate of r percent per month, compounded monthly. She plans to repay the loan in T equal monthly installments of P dollars each.
A farmer plans to fence a rectangular pasture adjacent to a river. The pasture must contain 180,000 square meters. What dimensions would require the least amount of fencing if no fencing is needed along the river?
To avoid creating a backlog, all cases must be handled by the end of December. Formulate a linear program that can be used to determine how many Judges the city needs.
Given a rational function, identify a method which can be used to determine if there is a vertical asymptote.
The report costs Paula $ 15 to produce, but Paula is able to sell reports for $ 350 each. Of course, any reports not sold by the end of the week have no value. How many reports should Paula produce each week?
The temperature T in a metal ball is inversely proportional to the distance from the center of the ball, which we take to be the origin. The temperature at the point (1,2,2) is 120 degrees.
Calculate the average rate of return for each stock during the 5-year period. Round your answers to two decimal places.b. Assume that someone held a portfolio consisting of 50% of Stock A and 50% of Stock What would have been the realized rate of r..
The Pythagorean Theorem for right triangles states that if a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then a2 + b2 = c2.
Calculate the z transformation.
Suppose the velocity v (in m/s) of a some moving object can be computed by the formula v=10t+4, where t (in s) is the time elapsed. What is the biggest possible error (worst case) of v if the error in the measurement of t is known to be less than 0..
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