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A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 450 cubic centimeters of soup. The sides and bottom of the container will be made of syrofoam costing 0.02 cents per square centimeter. The top will be made of glued paper, costing 0.08 cents per square centimeter. Find the dimensions for the package that will minimize production cost.
Prove the parallelogram equality that is, the sum of the squares of the diagonals of a parallelogram equals the sum of the squares of its sides.
evaluate the tangent line approximation of the two values and compare with the true valuefind the tangent line
assume that adults have iq scores that are normally distributed with a mean of 102 and a standard deviation of 15. find the third quartile Q3 which is the iq score separating the top 25% from the others.
Find the sample size on normal distribution
What is your best estimate of the total distance the student's car traveled before coming to rest (note that the best estimate is probably not the over or under estimate that you can most easily find)?
Let p be a prime, let K be a number not divisible by p, and let b be a number that has a kth root modulo p. Find a formula for the number of kth roots of b modulo p and prove that your formula is correct. (hint. your formula should only depend on ..
The Transamerican pyramid in san fransisco is 853 ft tall with a square base that is 149 ft on each side. what is the colume to the nearest thousand cubic foot.
What is the probability, Pn where n = 1, 2, 3, that a little cube (one of the 64) picked at random will have n painted faces?
What is the approximate distribution that describes the possible values for the sample proportion ? Give all aspects of the distribution.
the mean on the math 165 finl exam for math 165 last year was 80 with a standard deviation of 5. What is the cutoff score for a student to be in the top 12%?
What is the initial temperature of the coffee? What is the temperature of the room? The coffee will scold your mouth at 115 oF. How long do you have to wait alter pouring the coffee to drink it without being scolded?
Write a script that takes in either a binary or decimal number and converts it to either decimal or binary respectively. The program should first ask whether to convert to binary or decimal and should not use the built in bin2dec or dec2bin funct..
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