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An oil tank ruptures at time t=0 and oil leaks from the tank at a rate of r(t)=100(e^(-.01t)) liters per minute. How much oil leaks out during the first hour?
Adams High School has 151 freshman, 198 sophomores, 221 juniors, and 242 seniors. If two students are selected at random without replacement, what is the probability of selecting a freshman on the first selection and a senior on the second selecti..
Probability: High Risk Apartments. In a local town, there are three separate apartment blocks, A, B and C. Block A contains 10 apartments, of which two contain "High Risk" inhabitants.
Determine whether the mean value Theorem applies to the following functions on the given interval [a,b] and if, so find or approximate the point(s) that are guaranteed to exist by the mean value theorem.
Find the area of the region bounded by the parabola y = 5x^2, the tangent line to this parabola at (4, 80), and the x-axis.
Find all the subfield of K containing Q.
Let f be continuous on the closed interval [a,b] and differentiable on the open interval (a,b). Also, suppose that f(a) = f(b) and that c is a real number in the interval such that f'(c) = 0.
The number of assists per match for the setter on your school's volleyball team has a mean of 58 and a standard deviation of 7. If in the last game he made 77 assists, how many standard deviations is that from the mean?
Find the equation of the line drawn between two points - Write the equation of the line with slop -2 and passing through the point (4, -3).
after 10 min the process is stopped, and fresh water is poured into the tank at a rate of 2 gal/min, with the mixture again leaving at the same rate. Find the amount salt in the tank at the end of an additional 10 min.
The gross annual earnings of a certain company A(t)= 0.1t^(2)+10t+ 20 thousand dollars t years after its formation in 2004. At which percentage rate were the gross annual earnings growing with respect to time in 2008?
what is the union of sets x and y b. what is the intersection of sets x and y c. create your own set z that is a subset of x
Continuous Probability Distribution - Independent Events, A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02.
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