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For multiple sclerosis patients we wish to estimate the mean age at which the disease was first diagnosed. We want a 90% confidence interval that is 8 years wide. If the population variance is estimated to be 85 from previous research, how large a sample should be taken?
A random sample of 50 employees at a company was obtained. The one-way distance from home to work was recorded for ach employee in the sample. Suppose the mean of the sample was 15.2 miles and the standard deviation was 4.2 miles.
Explain in your own words how the principle of square roots is used to solve quadratic equations. What form must a quadratic equation be in to use the principle of square roots for solving? Demonstrate the process with your own example.
A stone is thrown into a lake, and t seconds after the splash the diameter of the circle of ripples is t meters. Express the circumference C of this circle as a function of t.
Determine the Fourier series for this function and find the period, frequency and angular frequency of the waveform
A rectangular swimming pool 16m by 12m is being filled at the rate of 0.9m3/min. How fast is the height of the water rising?
The length of a regulation tennis court is 4 feet greater than twice its width. The perimeter of the court is 248 feet. Find the length and width of the court. (P=2l+2w)
Calculate the result from the given survey of voters - Evaluate the standard deviation from the range (i.e., use the range rule of thumb).
Determine the probability that the cholesterol content will be greater than 220 milligrams.
Compute the inverse of matrix A below, and use this to express A as a product of elementary matrices
A studebts tuition was $4180. A loan was obtained for 4/5 of the tuition. How much was the loan?
Determine the width of a river that flows due east if a surveyor finds that a tree on the opposite bank has a bearing of N 22°30' E from a certain point A and a bearing of N 15° W from another point B which is 400 feet downstream from A.
Assuming independence and uniform distribution for these midpoints, find the probability that the line segments overlap. Show work.
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