Wow... anyways... The funny irony behind that is that my Algebra II teacher has yet to teach any of us sigma notation yet. I learned that myself.
And yes, I will be waiting for your next math problem. Please though, no calculus methods, though. I can do a limited amount of Trigonometry I taught myself, but I'd prefer it play a slightly more limited role in a question if you ask it...
And while you wait, here's one for you. It is MY strongest point: probability.
You have three dice loaded so that the number 6 is n times as likely to come up as all of the other numbers individually. (That is, the respective individual odds of each of the 6 numbers coming up are 1, 1, 1, 1, 1, n for the faces 1-6 respectively.) Express in terms of n the probability that two of the three dice will show the same number while the third die shows a different number.
I made that problem all by myself one day out of boredom.
And remember folks: Math is #
(infinity)
E (1/(2^k))
k=1
Erm.... or the number that is arbitarily close to, anyways.
Tell me how the sigma notation project turns out, ok?
PS: The barrel problem. My guess is that you pour the water into 2 separate non-plastic containers and put those containers into the barrel.
Congratulations! You have just been blessed by the wisdom of Steve.