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You can win Lolita's "Deep-6" lottery jackpot if you correctly choose 6 non-repeating integer numbers between 1 and 36 (in any order) and those numbers are drawn. You buy one ticket. What is the probability that it's the jackpot winner?
Trading cards cost $12.00 before sales tax and $12.60 after sales tax. what is the sales tax rate?
A farmer has a piece of fencing wire of length 625 m. the farmer intends to fence a portion of the land that will maximize, the area for keeping cattle. Determine the dimensions of the portion that will give the maximum area.
Assuming a 7.25% annual rate of return compounded annually over a period of ten years, how much principal would a person need to invest in order to achieve a future amount of $12,500?
The demand function is: D(q) = 300/[4q+3] per unit. Find the total mount of money consumers are willing to spend to get 10 units of the commodity.
A hemisphere of radius 8 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the center of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the cylinder of maxi..
For each prove each statement that is true and find a counterexample for each statement that is false. Assume all sets are subsets of a universal set U.
Determine the number of three digits which can be formed from digits 1,2,3,4,5, and 6 if no repetitions are not allowed and if repetitions are allowed.
For each of the following recurrence relations, write out the first several terms of the sequence (at least five) and use this to find a closed form for the sequence. Then prove that each conjectured closed form is correct. (Is there a flashing si..
Discuss issues involved in developing successful spam filters and the current situation in the war between spammers and people trying to filter spam out.
At any particular time during office hours, the probability that Faith is in the office is 0.8 and probability that Mary is not in the office is 0.45. Find the probability that at any particular time during office hours, all of them are not in the..
Regrind, Inc. regrinds used typewriter platens. The cost per platen is $2.40. The fixed cost to run the grinding machine is $92 per day. If the company sells the reground platens for $4.40, how many must be reground daily to break even?
A scientist begins with 100 milligrams of a radioactive substance that decays exponentially. After 31 hours, 50 mg of the substance remains. How many milligrams will remain after 51 hours? (Round your answer to two decimal places.)
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