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## #2451 2013-10-10 22:58:45

gAr
Member
Registered: 2011-01-09
Posts: 3,479

### Re: What do you think?

Okay.

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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## #2452 2013-10-10 23:15:11

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,380

### Re: What do you think?

Hi;

I am getting a mean of about 3.023

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

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## #2453 2013-10-10 23:23:19

gAr
Member
Registered: 2011-01-09
Posts: 3,479

### Re: What do you think?

According to the simulation, a guess would be  3ab / pi .
But when I calculate the integral as done for the triangle, I get 6ab / pi .

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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## #2454 2013-10-10 23:30:49

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,380

### Re: What do you think?

Instead of running a simulation. Plot the 4 vertices a couple of dozen times. I think that will convince you that the answer is very close to 3.025

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

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## #2455 2013-10-10 23:38:06

gAr
Member
Registered: 2011-01-09
Posts: 3,479

### Re: What do you think?

Yes, I need to rethink the analytical way then.

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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## #2456 2013-10-10 23:40:16

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,380

### Re: What do you think?

Yes, I need to rethink the analytical way then.

That is probably true. Looking at each quadrilateral created they were all simple and all had vertices on the ellipse. I have a geogebra demonstration too.

I have a chore to do so I will be offline for awhile. See you then.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

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## #2457 2013-10-10 23:53:00

gAr
Member
Registered: 2011-01-09
Posts: 3,479

### Re: What do you think?

Okay, see you later.

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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## #2458 2013-10-11 01:11:54

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,380

### Re: What do you think?

Hi gAr;

Any results yet?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

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## #2459 2013-10-11 01:29:32

gAr
Member
Registered: 2011-01-09
Posts: 3,479

### Re: What do you think?

Hi,

Nothing other than the results I've told earlier.

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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## #2460 2013-10-11 01:31:30

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,380

### Re: What do you think?

Hi;

I am having a little bit of trouble with it too.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

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## #2461 2013-10-11 01:37:14

gAr
Member
Registered: 2011-01-09
Posts: 3,479

### Re: What do you think?

It's okay..

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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## #2462 2013-10-11 01:41:36

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,380

### Re: What do you think?

I am wondering why. Is it because there are many types of quadrilaterals?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

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## #2463 2013-10-11 01:56:32

gAr
Member
Registered: 2011-01-09
Posts: 3,479

### Re: What do you think?

I'm not sure why.

Need to take a break, see you later.

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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## #2464 2013-10-11 01:58:52

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,380

### Re: What do you think?

Hi;

Okay, see you later. Thanks for coming in.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

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## #2465 2014-02-04 22:12:04

gAr
Member
Registered: 2011-01-09
Posts: 3,479

### Re: What do you think?

B is about to fly of on a plane. He's got his ticket, but, because of wasting time in the snack bar, he was the last passenger in the line for boarding the plane. He gets in line and, thinking about how long he'll have to wait, he remembers that the tickets for his plane, which holds a hundred passengers, have been sold out. He also notices that the first person in line is a stubborn, old lady from his neighborhood whose eyesight is not the best. He knows that she will enter the plane and take a random seat and also that each passenger after will take his own seat if it is free and a random seat if his own is taken. B is wandering what his chances are of sitting in his own seat.

Same problem was asked in brilliant by a member there!
https://brilliant.org/community-problem/lost-boarding-pass/?group=AaGVLnK0JXOo

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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## #2466 2014-02-04 22:15:46

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,380

### Re: What do you think?

Hi gAr;

Probably got it while reading some book. It is a fairly standard problem.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

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## #2467 2014-02-04 22:22:35

gAr
Member
Registered: 2011-01-09
Posts: 3,479

### Re: What do you think?

That's right, just saying.
Because I looked back here to enter the answer.

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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## #2468 2014-02-04 22:28:05

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,380

### Re: What do you think?

Hi;

Where did you find it?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

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## #2469 2014-02-04 22:33:55

gAr
Member
Registered: 2011-01-09
Posts: 3,479

### Re: What do you think?

Hi,

Find what?

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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## #2470 2014-02-04 22:36:01

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,380

### Re: What do you think?

The quote in post #2465. Where did you find it?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

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## #2471 2014-02-04 22:38:22

gAr
Member
Registered: 2011-01-09
Posts: 3,479

### Re: What do you think?

Searched it using keywords: seat site:mathisfunforum.com

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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## #2472 2014-02-04 22:51:20

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,380

### Re: What do you think?

Hi;

I got it thanks.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

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## #2473 2014-05-15 11:59:21

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,380

### Re: What do you think?

New problem:

Hi;

A student is taking 4 courses and there is to be a test in each course next week (Monday to Friday). What is the probability that there will be at least two tests on the same day?

A says) 106 / 125

B says) 65 / 70

C says)100!, I ran a simulation.

D says) C's answer looks right...

E says) I like B's answer but am not sure. He made a few assumptions.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

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## #2474 2014-05-15 12:56:16

ShivamS
Member
Registered: 2011-02-07
Posts: 3,648

### Re: What do you think?

I like B's answer too, but I might be making a couple of assumptions.

Last edited by ShivamS (2014-05-15 12:57:02)

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## #2475 2014-05-15 20:50:54

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,015
Website

### Re: What do you think?

?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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