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Math Tricks/Problems
19:08:29 Nov 8th 07 - Sir Archias:

1) 6210001000, the last digit would have to be a one binh

2) 1234759680, I had a good guess to start with..

psh...got them driving down I 65 ;), whilst eating my subway sandwich, and saving the world.... (to the rest of you reading this I'm not that arrogant, just brotherly taunting)


19:43:17 Nov 8th 07 - Mr. Big:

take 240 (look familiar argheyass) and switch the first 2 digits (sound familiar) ;)
good job though

An airplane weighs 10,000 pounds, has a 1000 gallon tank, burns fuel at a rate of 5 gallons per minute, and has a speed in miles per hour of 6,000,000 divided by the sum of weight of the plane and remaining fuel. Each gallon of fuel weighs 10 pounds. With a full tank how far can the plane fly?


19:46:08 Nov 8th 07 - Mr. Binh:

1. Find a formula to add all integers from 5 to X where X >5.


19:55:05 Nov 8th 07 - Mr. Sun:

(5+X)*(X-5+1)/2


20:00:57 Nov 8th 07 - Lord Seloc:

What number shows up most often when you roll 10 dice?


20:35:21 Nov 8th 07 - Mr. Binh:

Seloc 10? :)

Right sun.


22:58:26 Nov 8th 07 - Sir Archias:

10/3 hours

(6000000/(20000-3000t)) dt.

6000000 X -1/3000 X ln(20000-3000t)

-2000 X ln(1/2)

2000 X ln(2)

~ 1386.3 miles

give me a couple for a good one :)


23:54:28 Nov 8th 07 - Duke Borazon:

argheyass cheats!


01:55:52 Nov 9th 07 - Sir Archias:

woman

and seloc do you mean the sum of two dice? if its just each individual dice rolled I dont see how you can determine which one, as the probability is = for all 6..

maybe I'm just stupid tho, wouldn't've been the first time, can you PM the answer


09:06:43 Nov 9th 07 - Lord Seloc:

Total of the 10 dice.


14:34:50 Nov 9th 07 - Mr. Sun:

just a guess off the top of my head, 35.


16:52:19 Nov 9th 07 - Mr. Binh:

oh now i get Seloc question. I thought it was a trick question since I didn't know dice is a plural term...

"and seloc do you mean the sum of two dice? if its just each individual dice rolled I dont see how you can determine which one, as the probability is = for all 6.."

Archias, the number of possible outcomes are 6^10. The probability of getting a 10 as a sum of all dice is the lowest since all dice need to roll on a 1 to get the sum of 10. So the probability of getting a sum of 10 is 1/(6^10) which is very small chance. now let say the sum is 11. Now one dice out of the 10 dice need to be a 2 while all other being a 1. This mean the probability of getting a sum of 11 is 10/(6^10). The question is to find out what sum have the most probability of getting it. I hope you understand more of this question now :)


17:25:07 Nov 9th 07 - Lord Carnage:

Considering all have the same probability,
and the dice max value is 6,
the most probable sum of the 10 dice should be 30.

But then again, ask Sun, he's a statistician.


18:54:15 Nov 9th 07 - Mr. Sun:

well, adding "6" 10 times is 60, and addnig "1" 10 times is 10 (the two sum with the lowest chance)

the average is 70/2 = 35 which was my rough estimate. it serves the purpose of this question, but I did not calculate its actual probability ;o...

 

edit: oops i was editing some typo here, but i clicked on "REPORT" button on Lord Carnage's post by accident..... sowwiee.....


18:55:32 Nov 9th 07 - Mr. Binh:

I believe sun is right. the middle number is the one that will get the most probability of getting it. 10 dice of 1-6 means minimum is 10 and maximum is 60. (10+60)/2 = 35.

darn sun posted before me. :)


19:34:54 Nov 9th 07 - Mr. Ridukuluz:

unless the dice are rigged.


21:54:49 Nov 9th 07 - Mr. Jenos:

The average sum of 10 n-sided dice is (n+1)*10/2 => 5n + 5.


22:02:16 Nov 9th 07 - Sir Archias:

Archias ...The question is to find out what sum have the most probability of getting it. I hope you understand more of this question now :)
yea I just didn't understand what exactly he was asking :) thx


23:35:14 Nov 9th 07 - Mr. Sun:

Mr. Jenos

Report


11/9/2007 3:54:49 PMThe average sum of 10 n-sided dice is (n+1)*10/2 => 5n + 5.

not if n=0.


19:24:04 Nov 10th 07 - Mr. Jenos:

There's no such thing as a 0-sided or 1-sided dice... but I thought that was too trivial to mention.


20:21:30 Nov 10th 07 - Mr. Jenos:

and I also thought it was trivial to mention that a die with n-sides can only exist if n is a positive integer greater than one.


20:28:38 Nov 10th 07 - Lord Seloc:

I haven't yet seen a two sided dice, or a three sided.

Would you like to explain how these would work?


23:35:36 Nov 10th 07 - Lord Carnage:

3 sided dice:


2 sided dice could be a coin ^^


23:48:09 Nov 10th 07 - Lord Seloc:

Coins have more than one side 0.o

And those dice are unfair!


10:36:00 Nov 11th 07 - Mr. Sun:

0 sided dice is an imaginary nonexistent entity!


18:28:18 Nov 12th 07 - Duke Borazon:

or a sphere ;)


18:48:51 Nov 12th 07 - Mr. Sun:

i think a sphere is 1 sided ;o


19:17:03 Nov 13th 07 - Mr. Dragonfly:

yes its 35 probably sun


19:38:04 Nov 13th 07 - Ms. Gene Atalia:

Actually Sun a sphere is a infinite sided dice if you want to look at it that way. But I'd love for you to explain how a sphere can be just 1 sides since it can stop anywhere. If you throw a ball will you be able to say which side it will be up?


19:53:10 Nov 13th 07 - Mr. Sun:

it has one surface ;p it will always be that one side ;p


09:31:05 Nov 14th 07 - Ms. Gene Atalia:

"it has one surface ;p it will always be that one side ;p"

That can be said for any dice. :)


14:49:52 Nov 14th 07 - Mr. Sun:

but the round one has no edge on the surface :P (of course assuming its perfectly round!)


17:04:04 Nov 14th 07 - Ms. Gene Atalia:

I think you mistake side with surface. They aren't the same, a ball has only one exterior surface but has an infinite number of sides.


17:26:15 Nov 14th 07 - Lord Seloc:

2x^2-3x-4=0, find x.


17:33:28 Nov 14th 07 - Mr. Sun:

x= 3+/- sqrt(9-4*2*4) ALL OVER 4

... imaginary solution ...


17:45:57 Nov 14th 07 - Lord Seloc:

It's not imaginary.....just follow through with your working...


17:57:01 Nov 14th 07 - Mr. Sun:

a mistake on my part. 9-4*2*4 should be + instead of -.


19:43:06 Nov 14th 07 - Ms. Gene Atalia:

The solution is 3+/- sqrt(41) like Sun said and please if you want to post a math problem post an interesting one not these 8th grade run of the mill ones that anybody can do, they should take a bit of thinking.

I'm getting the strange feeling you're doing your homework on our backs.


19:12:56 Nov 15th 07 - Lord Seloc:

How'ld you guess....


19:35:49 Nov 15th 07 - Ms. Gene Atalia:

Only somebody that has these as homework would think they are by any means hard to do.


23:21:41 Nov 15th 07 - Duke Borazon:

Can you do this one for me?  (preferably before tommorow)

[4^1/3(cos (7*pi/36) + isin (7*pi/36))]^12

i have to express the answer in the form a+bi    too :(


06:04:25 Nov 16th 07 - Mr. Atreides:

I just learned that stuff last week.........and yet I can't remember it! I blame this on you!! Ugh, I shouldn't be staying up this late at all.........................


07:36:30 Nov 16th 07 - Ms. Gene Atalia:

"Can you do this one for me?  (preferably before tommorow)"

I could but I won't. I'm doing you a favour.


15:10:40 Nov 16th 07 - Mr. Sun:

i forgot those classical algebra stuff, learned them in first year. i remember there was exponential representation involved somewhere...


15:27:46 Nov 16th 07 - Ms. Gene Atalia:

The entire thing is to remember you need to remove the ^12 by multiplying it with the cos and sin arguments.


17:07:07 Nov 16th 07 - Mr. Sun:

ya i vaguely remember some fundamental formula (i think we even proved it back then..) the exponent moving into the trig argument and stuff. but exatly what it was, i cant remember ;)

 

but those were easy if u know your stuffs....


17:27:01 Nov 16th 07 - Ms. Gene Atalia:

The forumula is: (cos(a*pi)+isin(a*pi))^b = cos(a*b*pi)+isin(a*b*pi).


20:16:43 Nov 16th 07 - Mr. Sun:

:) that refreshed my memory :D


21:58:23 Nov 16th 07 - Duke Borazon:

cant forget about the 4^1/3, raise it to the 12th


22:14:48 Nov 16th 07 - Ms. Gene Atalia:

"cant forget about the 4^1/3, raise it to the 12th"

You must be dim, (4^1/3)^12 = 4^(1/3*12)=4^4. Get help kid your situation is dire.


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