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A norman window has the shape of a rectangle surmounted by a semicircle as shown in figure to the left. A Norman window with perimeter 30 ft is to be constructed.
a) find a function that models the area of the window. b) find the dimensions of the window that admits the greatest amount of light.
Calculate Clayton's profit margin and debt ratio.
Determine the total amount the Bells will pay for their house and how much of the cost will be interest
80 books will be divided among 6 people. No two people will receive the same number of books. Find the maximum number of books
Prove that if P is any point in a regular tetrahedron of height h, then the sum of the perpendicular distances from p to the four faces of the tetrahedron is equal to h.
Let G be a group (finite or infinite) and let a and b in G. Let o(a) represent the order of a. Suppose G is abelian and both a and b are of finite order. Show that ab is of finite order and o(ab) divides o(a)o(b).
Let G = UT (n,F) be the set of the upper triangular n x n matrices with entries in a field F with p elements and 1's on the diagonal. The operation in G is matrix multiplication.
Probability of the Workers at Motor Works 64% of the workers at Motor Works are female, while 66% of the workers at City Bank are female.
Find the y-coordinate of the point (3+h, ) if this point lies on the graph of the function F(x) = (3/x) - x the y-coordinate of the point is.
Suppose the population standard deviations for men and for women both were about 100. Construct a 95% confidence interval to estimate the difference in the population mean scores on this event for men and women.
What must be the odds against outcome four if there is to be no possible arbitrage when one is allowed to bet both for & against any of the outcomes?
Draw the unit circle and plot the point P=(3,2). Observe there are TWO lines tangent to the circle passing through the point P. Answer the questions below with 3 decimal places of accuracy.
What if the RDA of cobalamine is actually not well established in the medical community? In fact, it may span a range of values in µg, 2.0, 2.1, 2.2, 2.3, 2.4, 2.5, 2.6. What is the corresponding Type II error and power for each of the given assum..
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