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A water storage tank has the shape of a cylinder with diameter 22 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 20 ft, what percentage of the total capacity is being used? (Round the answer to one decimal place.)
Choose the largest subset for cover, and then remove all its elements from universal set. Repeat by adding subset consisting of largest number of uncovered elements until all is covered.
Use residues to evaluate the improper integral from 0 to infinity: Use Jordan's Inequality to evaluate the improper integral from -infinity to infinity:
A person deposited 500dollars in a savings account that pays 5% annual interest that is compound yearly. at the end of 10 years, how much money will be join the savings account.
Health Canada reported that the duration of human pregnancies can be described by a normal model with mean 266 days and standard deviation 16 days.
If Kevin, Dave, John and Allison all work together, how many minutes do they need to shovel all of Kevin's snow.
Let E and F be non-zero-probability events. If E and F are mutually-exclusive, can they also be independent?
Assuming air resistance is negligible, the rocket is launched from a height of 2 feet, and the maximum height attained by the water rocket is 66 feet, determine the initial velocity of the rocket. That is, find the velocity of the rocket at the mo..
Calculate the multifactor productivity for this operation in fees generated per dollar of input.
A homeowner wants to enclose a 5,300 square foot rectangular garden by a fence in his backyard. If 3 sides of the fence cost $8.25 per foot and the 4th side costs $11.25 per foot,
Find all maximal normal subgroups of Z[p] × Z[q], where p and q are relatively prime. Would the elements from Z[p] have to be one that are relatively prime to q and vice versa?
Find the center of mass of a thin plate of constant density d covering the "triangular" region in the first quadrant between the circle x^2+y^2=12.25 and the lines x=3.5 and y=3.5.
Suppose that you are dealt a hand of 9 cards from a standard deck of 52 playing cards. What is the probability that you are dealt exactly 3 kings? What is the probability that you are dealt 9 cards of the same suit?
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