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An accident at an oil drilling platform is causing a circular oil slick. The slick is 0.08 foot thick, and when the radius is 750 feet, the radius of the slick if increasing at the rate of 0.5 foot per minute. At what rate (in cubic feet per minute) is oil flowing from the site of the accident?
Interpret the confidence interval in a single sentence
Find the upper & lower confidence limit.
The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates.
If it is 300 miles from Chicago to St. Louis in a car traveling a constant speed of 60 mph, how do I write a linear function that expresses the distance to be traveled to reach St. Louis, s, as a function of time, t?
If the tickets are not replaced after each draw, what is the probability of winning the new car?
For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Then write an equation for the curve.
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?
Using a suitable change of variables, find the solution of (1/4)y''-((4z 2 +3)/(4z))y'+(z 2 +1)y=z 4 e (2z) , y(0)=y(1)=0.
An experimental test to detect a particular type of cancer indicates the presence of cancer in 90% of individuals known to have this type of cancer, and in 15% of individuals known to be cancer-free (false positive)
Suppose G is a finite group with the property that every non-identity element has prime order (D3 and D5 are examples of groups with this property).
Let G be a group. x and y are elements of G. Prove that: The inverse of xy is y^-1x^-1. The identity element, e, is unique
Suppose that in a company with 775 employees, the monthly salaries are normally distributed. The mean salary is $6400 and the standard deviation is $800. About how many employees earn more than $4200 per month?
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