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Question: Australian Koala bears are thought to have a mean height of 21 inches and a standard deviation of 3 inches. You plan to choose a sample of 55 bears at random. What is the probability of a sample mean between 20 and 22? How many bears in the sample are likely to be taller than 25 inches?
What is the net income for the firm? Suppose the company paid out $48,000 in cash dividends. What is the addition to retained earnings?
Find the corresponding transfer function - To identify this transfer function, an artificial heart is implanted in a calf while the main parts of the original heart are left in place.
Use your regression line equation to predict the value of y for x = 13.Round your answer to two decimal places.
The Fourier coefficients of a 2π-periodic function are as follows: a0 = 0, an = (-1)n/n2 and bn = 1/n2, for all n ≥ 1. Is the function continuous? Justify your answer
During each quarter, the company loses 15% of its personnel (including secretaries trained in the previous quarter). Formulate the problem as a linear-programming problem.
Consolidated Oilfield plc is interested in exploring for oil near the west coast of Australia. The Australian government is prepared to grant an exploration license to the company for a five-year period for a fee of £250,000 per annum.
Construct a program where inputs: the coefficients (a1, a2, a3, a4, a6) of an elliptic curve E : y 2 + a1xy + a3y = x 3 + a2x 2 + a4x + a6 and an integer n. The output Δ (discriminant of E) mod n and the j invariant of E mod n.
Find critical numbers, inflection points, absolute max and absolute min values for the following functions:
Find general formulas for the eigenvalues for the local linearization at the first 3 equilibrium points (the ones that always exist)
How about the sum of the derivatives? Does it converge pointwise? Does it converge uniformly on R? Does it converge to the derivative of the function studied in (a)? Once again, state precisely any theorems you use
Mileage tests are conducted for a particular model of automobile. If a 98% confidence interval with a margin of error of I mile per gallon is desired.
The April 2015 stories at the main FCP site: (1) I spent many hours trying to work out the operation of this simplistic electric train that only recently appeared on YouTube:
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