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An open-topped rectangular box is to be constructed by taking an 18-inch by 48-inch sheet of cardboard, cutting squares of equal size out of each of the corners, and then folding up the resulting flaps to make the sides.How large should the squares be in order to maximize the volume? What is the maximum volume?
Construct a time series plot. What type of pattern exists in the data? Develop an estimated regression equation that can be used to account for any seasonaland linear trend effects in the data
Use the technique of asserting that if there is a counter-example, there is a smallest counter-example and deriving a contradiction to prove that the sum is n(n + 1)/2. What implication did you have to prove in the process?
gold has a mass of 452 gram and a density of 19.3 gram per cm cube. what is the volume of the gold?
Taylor and Miranda are performing on a magic dimension-changing stage that is 20 m long by 15 m wide. The length is decreasing linearly (with time) at a rate of 2 metres per hour, and the width is increasing linearly (with time) at a rate of 3 me..
Timmy has a collection of jelly beans in a jar. If he groups them in 4's, there is one jelly bean left over at the end. If he groups them in 6's, there is again one left over. If he groups them in 9's, there is again one left over. Finally, Ti..
A certain flight arrives on time 66 percent of the time. Suppose 106 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that exactly 75 flights are on time.
A ship travels 70 kilometers on a bearing of 27 degrees and then turns on a bearing of 117 degrees for 180 kilometers. Find the distance of the end trip from the starting point.
Given city traffic, they will average 45 miles per hour.
The area bounded by the axes of reference and the normal to y=log6x st the point (1,0) is
Determine whether the following statement is true or false, and justify your answer: If the RMS error for predicting Y from X is equal to 1, then the correlation between Y and X is equal to 0.
Define leadership. What is the difference between a leader and a manager? What is the relative importance of leaders and managers to the success of organisations today?
Resource-transfer effects, employment effects, balance-of-payment effects, and effects on competition and economic growth are the major benefits a country receives from inward FDI.
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