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Changing area. Last year Otto's garden was square. This year he plans to make it smaller by shortening one side 5 feet and the other 8 feet. If the area of the smaller garden will be 180 square feet, then what was the size of Otto's garden last year
Show that a function f is measurable IF AND ONLY IF there exists a sequence (f_m) of set functions such that f(x)=lim f_m(x) for almost all x.
John sells his house and earns a profit of $600,000. With the profit, he buys a 20 year annuity that earns 6.5% interest compounded monthly. What monthly payment will John get?
The temperature outside is 40oF. A 120oF liquid is carried outside. One minute later, the temperature of the liquid has dropped to 100oF. What is the exact temperature of the liquid 2 minutes after being taken outside
Let n be "the smallest integer not describable in fewer than 12 English words." (Note that the total number of strings consisting of 11 or fewer English words is finite.)
Imagine yourself at a fair playing one of the midway games. Pick a game and calculate the expected value and post your results along with how you calculated them.
The upper right-hand corner of a piece of paper, 15 in. by 6 in., as in the figure, is folded over to the bottom edge. How would you fold it so as to minimize the length of the fold? In other words, how would you choose x to minimize y?
given four 1's and four 0's,how many ways these 8 symbols be listed such that in each list the number of 0's never exceed number of 1's as a list is read from left to right?List all the possible arrangements?
The balance at the end of 20 years is 3 times the balance at the end of 10 years. What is the balance in the account at the end of 20 years?
Determine the amount of two-ounce portions of each sea ration product in the mix. Minimize the total cost of the sea rations.
Use 4 point bins 96 to 99, 92 to 95 etc. to make a frequency table for the set of exam scores. Include columns for relative frequency and cumulative frequency.
An isosceles triangle has one angle with a measure of 110. determine the measure of the other two angles.
Write an equation representing the amount of money the class will make based on the number of tons of newspapers collected.
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