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your are planning to close off a corner of the first quadrant with a line segment 20 units long running from (a,0) to (b,0). Show that the area of the triangle enclosed by the segment is largest when a=b.
Adams High School has 165 freshman, 177 sophomores, 214 juniors, and 227 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..
A hot water tank is a vertical cylinder surmounted by a hemispherical top of the same diameter . The tank is designed to hold 750m^3 of liquid.
The two steps in preparing chocolate candy bars are molding and packaging. Personal fatigue and delay allowances are set at 15%. The molding machine operator is rated at 110% and the packer is rated at 80%.
an investment of $12000 is deposited into two simple interest accounts. On one account, the annual simple interest rate is 7.8%. On the other, the annual simple interest rate is 9%. The total interest earned for one year is $1020. How much was inv..
Another man bought one of each of the two types at a cost of $.98. Find the cost of each kind of apple.
Describe all nonisomorphic central extensions of Z_2 x Z_2 by a cyclic group Z_n for arbitrary n, meaning central extensions of the form:
A new entrance is to be constructed on the Ohio Turnpike. There are 7 bidders on the project. Create a 95 percent prediction interval for the winning bid.
does the production function exhibit the property of diminishing marginal productivity of labor?
There were 626 hamburgers and cheeseburgers sold. There were 74 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold?
Write an ABEL program for a combinational logic function with five input bits N4-N0) representing an integer between 0 and 31 and two outputs M3 and M5 to indicate if the number is a multiple of 3 or 5.
If the data produce an F statistic of F = 4.50, then which of the following is the correct decision for a two-tailed hypothesis test?
Why must we always be mindful of the final value of the denominator in a rational expression? For example, consider the rational expression 3x/(x2 - 16). What values in the denominator must we be mindful of? Explain why.
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