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Let A be the event that a student is enrolled in an accounting course, and let S be the event that a student is enrolled in a statistics course. It is known that 30% of all students are enrolled in an accounting course and 40% of all students are enrolled in statistics. Included in these numbers are 15% who are enrolled in both statistics and accounting. A student is randomly selected, and it is found that the student is enrolled in accounting. What is the probability that this student is also enrolled in statistics?
Determining initial population, maximum population of fruit flies placed in a half pint milk bottle - word problem and Evaluate the initial population
How many minutes will it take until the tank is full? (1 meter=1.094 yards)
A surfboard manufacturing company has determined that the cost function c(x), in hundreds of dollars, for producing x hundreds of boards is c(x) = .2x^2 -.84x + 3.625.
In order to control costs, a company wishes to study the amount of money its sales force spends entertaining clients. The following is a random sample of six entertainment expenses (dinner costs for four people) from expenses reports submitted by ..
A rectangular region is enclosed on all four sides with 45 feet of fencing. If the width is one half the length, find the area of the region.
The local weather station (which we'll assume is accurate in giving forecasts) predicts that the chance of rain is 25 percent for the day of the concert. What is Jeff's expected earnings from the concert?
Suppose that derivative of the function f is given by f'(x) = 3x and suppose that the point (4,2) is on the graph of f. Write an equation of a line tangent to the graph of f at the point (4,2)
Find the amount of medicine to which a body is most sensitive by finding the value of M that maximizes the derivative dR/DM where R = M^2(c/2 - M/3) and C is a constant. How is this related to Mathematics
A water storage tank has the shape of a cylinder with diameter 22 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 20 ft, what percentage of the total capacity is being used? (Round the answer to one..
Find the largest area of an Isosceles triangle if the two equal sides are 15cm long.
with what initial velocity must an object be thrown upward (from ground level) to reach a maximum height of 200 meters when a(t)=-9.8 meters per second per second.
Find the rate at which water is draining from the tank after the following amounts of time. (Remember that the rate must be negative because the amount of water in the tank is decreasing.)
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