MATHS CLASSES: Friday 28.10, FST: 16:00-18:00

[charlieeppes.livejournal.com]

Charlie's desk is for once not covered in papers, but in foodstuff. There's a plate with pizza slices on, a plate with cookies shaped like bats, half moons and possibly cats and cups of cocoa. He stands by the desk and smacks the hands of any student who looks like they're attempting to snitch something.

"Today's message to you all - Broots is my new TA! He'll be taking attendance and such when I'm not here, as well as helping me out with projects."

Comments

Intermediate

[charlieeppes.livejournal.com]

The solution to last lessons' problem:

Two players bet on the total roll of two standard dice.  Player A bets that a 12 will be rolled first.  Player B bets that two consecutive 7s will be rolled first.  The players keep rolling until one player wins.  What is the probability that A will win?

Let p be the probability that player A wins.  Consider the following mutually exclusive cases, which encompass all possibilities.
• If the first roll is a 12 (probability 1/36), A wins.
• If the first roll is neither a 7 nor a 12 (probability 29/36), A wins with probability p.
• If the first roll is a 7 and the second roll is a 12 (probability 1/6 · 1/36 = 1/216), A wins.
• If the first roll is a 7 and the second roll is neither a 7 nor a 12 (probability 1/6 · 29/36 = 29/216), A wins with probability p.
• If the first and second rolls are both 7 (probability 1/6 · 1/6 = 1/36), A cannot win.

Probability p is the weighted mean of these possibilities.

So p = 1/36 + (29/36)p + 1/216 + (29/216)p.

Therefore p = 7/13.

Today's problem:

A rhombus, ABCD, has sides of length 10.  A circle with center A passes through C (the opposite vertex.)  Likewise, a circle with center B passes through D.  If the two circles are tangent to each other, what is the area of the rhombus?

When the students turn in their solution, Charlie gives them all a halloween cookie of their choice.

Re: Intermediate

[kawalsky.livejournal.com]

Kawalsky spent the entire class struggling with the problem. He should have known this, but his math was so rusty unless it was a practical problem that he had a really hard time trying to work out the answer.

He eventually submitted something at the end of the class, complete with all of his scribbles his working out on paper. Kawalsky took a cookie and nibbled on it, then left class thinking about who he could talk to about tutoring him in math.. quietly.

Re: Intermediate

[notstakedyet.livejournal.com]

Angelus was thoroughly distracted. He started out attempting the problem, but often veered off into daydreaming or doodling many pictures of which would not be suitable for those without permission from their parents, which was ironic since the woman in question was technically his mother

Re: Intermediate

[12parseckessel.livejournal.com]

It takes Han a minute to think in 2d, but once he does, the equations he's been studying come back.

A=1/2 pq

p^2+q^2=4a^2

And all he has is a. It's a regular figure, he could assume that p =q. He does and comes up A=100.

He takes a large bat-shaped cookie, iced in chocolate and nibbles it on his way out.

Re: Intermediate

[cantgetnorelief.livejournal.com]

Anders is clearly distracted today, and spends the entire class scribbling aimlessly in the margins of his paper and cutting the corners off so it's nice and octagonal. He's not entirely sure what he turns in by the end of the class, but it's probably way off base.

He wanders off eyeing a bat-shaped cookie and wondering if he can get Lee in the eye with it.

Re: Intermediate

[sogothcally.livejournal.com]

*scribbles out all the long division and such in long hand, cause calculators are for losers*

*turns in a mostly correct answer, possibly off a bit in the decimals*

*snags a half-moon cookie*

Thank you, sir.

Re: Intermediate

[cantgetnorelief.livejournal.com]

Sleep okay last night, coach?

Re: Intermediate

[sogothcally.livejournal.com]

Slept just great, even though I was still kinda worried about your lip... how's it feeling?

Re: Intermediate

[cantgetnorelief.livejournal.com]

Still there. I can tell 'cause of the pain. *smiles*

Re: Intermediate

[sogothcally.livejournal.com]

*frowns* It hurts still? *reaches over and rubs Anders' cheek with her thumb* We'll just have to try and keep your mind off of it, huh? Pain is no fun at all.

Re: Intermediate

[cantgetnorelief.livejournal.com]

*nods and gives Cally his best puppydog face* Wanna kiss it and make it better?

Re: Intermediate

[sogothcally.livejournal.com]

I guess, if I have to... *grin* You sure it won't hurt you?

Re: Intermediate

[cantgetnorelief.livejournal.com]

*small grin* Not if it's from you.

Re: Intermediate

[sogothcally.livejournal.com]

*rubs noses, and then leans in and kisses Anders gently*

I got something for you back in my room...

Re: Intermediate

[cantgetnorelief.livejournal.com]

*hugs Cally tight* Oh yeah?

Re: Intermediate

[sogothcally.livejournal.com]

*smiles* Yeah. Just a little somethin' I picked up this morning. But I sadly forgot to go get corn syrup.

Re: Intermediate

[cantgetnorelief.livejournal.com]

Y'wanna go then? We have all tomorrow to get corn syrup anyway.

Re: Intermediate

[sogothcally.livejournal.com]

Sounds like a plan. *tugs at Anders' sleeve* Come along, then. (http://www.livejournal.com/users/sogothcally/10249.html)

Re: Intermediate

[2ls-in-oneill.livejournal.com]

Jack tries his hand at the problem for a good portion of the class. When he hands in his paper his answer is close but still off by a bit. Jack takes a witch cookie and thanks the teacher.

Re: Intermediate

[threeweapons.livejournal.com]

Alanna's gets the right solution, but after about a half an hour battle.