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A cup of coffee at 179 degrees is poured into a mug and left in a room at 66 degrees. After 7 minutes, the coffee is 133 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case)dT/dt=k(T-66).What is the temperature of the coffee after 17 mins.
for a sample of n=100, find the probability of a sample mean being greater than 24.3 if u=24 and o=1.25.
Two friends Dave and Pete often play squash and tennis together. Over the years, they have found that Dave wins 3 out of every 5 rounds of squash and 1 out of every 4 tennis matches
Please give a short answer as to why the following is true: Let p(x) = Ax^ 2+ Bx + C. For any interval [a,b] the value of c guaranteed by the Mean Value theorem is the midpoint of the interval.
A bacteria culture starts with 7 bacteria which multiply simultaneously every three house. If the first generation is born fromt he initial group at 12 midnight
Eight square tiles are laid out on a table so that they make a solid pattern. Each tile must touch at least one other tile along an entire edge. The squares all have sides of length 1.
The intersection of two open sets is compact iff it is empty. Can the intersection of an infinite collection of open sets be a non-empty compact set?
Show that if n is odd then the set of all n-cycles consists of two conjugacy classes of equal size in An. Let G be a transitive permutation group on the finite set A with |A|>1. Show that there is some g in G such that g(a) is not equal to a for al..
Single women. The percentage of women in the 20-24 age group who have never married went from 55% in 1970 to 73% in 2000 (Census Bureau, www.census.gov). Let 1970 be year 0 and 2000 be year 30.
Find the sample size on normal distribution
Combining the information above, find the probability that the xth opportunity is a close call (that it occurs immediately before the nth shock).
What was the percent increase in the average salaries between the two years? Round to the nearest tenth of a percent.a. 7.6%
What is your profit from charging the premium found in part b? What happens to the smokers and non-smokers in this market? What premium must you charge in order to break-even?
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