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Among 500 freshman pursuing a business degree at a university, 338 are enrolled in an economics course, 231 are enrolled in a mathematics course, and 150 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 an economics and/or a mathematics course.
The surface area of the right squre pyramid is given by S=b square rt. b^2 + 4h^2. If the pyramid has height of 10 feet and surface area of 100 square feet, what is the length of a side b of its base?
A Norman window is constructed by adjoining a semicircle to the top of a rectangular window. Find the dimensions of the Norman window of maximum area if the total perimeter is 16 feet.
The ice sculpture is a solid with base R. Cross sections of the sculpture perpendicular to the x-axis are right triangles with the hypotenuse of the triangle in the base. Find the volume of ice that is discarded when creating the sculpture.
What is the probability of getting at least 1 diamond in a 5-card hand dealt from a standard 52-card deck? 2. In a family with 3 children, excluding multiple births, what is the probability of having 2 boys and 1 girl, in any order? Assume that a b..
Find the maximum height of arrow using given function and prepare a table of values and graph the function
Suppose that a box has a volume of 100 cubic centimeters and that the area of the bottom of the box is 50 square centimeters. Find the height of the box. Show all the steps for solving this question.
Set up different integrals to find the mass of the solid bounded by the equations z=8-2x, z=0, y=0, y=3 and x=0. the density of the solid at (x,y,z) is d(x,y,z)=kx, k>0. evaluate ONE of the integrals.
Suppose you win a lottery and you can take either $1400 in a year or $1000 now. Suppose also that you can invest the $1000 now at 6% interest. Decide which is a better deal and by how much.
Prove that there is a bijection from the open interval (0, 1) to the half-open interval (0, 1].
Consider the recurrence relation an = 3an-1 + 5n. (a) Write the associated homogeneous recurrence relation. (b) Find the general solution to the associated homogeneous recurrence relation. (c) Find a particular solution to the given recurrence rel..
What is the equation of the vertical line through P? What is the equation of the horizontal line through P?
An IRS auditor randomly selects 3 returns from 59 returns of which 10 contain errors. What is the probability of her selecting NONE of those that contain errors?
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