Math Is Fun Forum

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: What do you think?

Yes, if you think about it in the real world, but what if they continued on forever would they finish the pie then?

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

123ronnie321

Member

Registered: 2010-09-28

Posts: 128

Re: What do you think?

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: What do you think?

Hi 123ronnie321;

I think you can eat the whole pie because that series is convergent. Physically it is impossible because it would take an infinite number of steps. In mathematics that is not a problem.

Here is the newest killer:

When n dice are rolled, the probability of obtaining a sum of 2011 is the same as the probability of obtaining a sum of s. What is the smallest value of s?

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: What do you think?

This one is called stump the m.

There are points A (7,4) and D (-5,-3) of ABCD.
B intersects y=2 and C intersects y=0, BC is perpendicular to y=0. Find the minimum length of ABCD.

A says) 30 is the minimum length.
B says) Woops! Sorry A, that is not correct, 15 + √193 is the correct answer.
C says) I have stumped the m, 14 + √195 is correct.
D says) It is not politically correct to stump the m. m's have feelings too.

Who is right and why?

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

gAr

Member

Registered: 2011-01-09

Posts: 3,482

Re: What do you think?

---

"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."

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: What do you think?

Hi gAr;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

gAr

Member

Registered: 2011-01-09

Posts: 3,482

Re: What do you think?

Hi bobbym,

Ok, I'll try

---

"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."

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: What do you think?

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

gAr

Member

Registered: 2011-01-09

Posts: 3,482

Re: What do you think?

Ah, nice! One more lesson for me not to go with intuition! My thought gave me about .05 extra.
Which software did you use for the diagram?

---

"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."

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: What do you think?

Geogebra, it really is incredible! Free too!

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

gAr

Member

Registered: 2011-01-09

Posts: 3,482

Re: What do you think?

Oh good!
I see, you have customized it. I have it installed as well.

Last edited by gAr (2011-01-17 00:21:12)

---

"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."

Howardroark

Member

Registered: 2010-10-10

Posts: 382

Re: What do you think?

Hi bobbyM,

---

I come from a civilization which has given the world the number 0..

gAr

Member

Registered: 2011-01-09

Posts: 3,482

Re: What do you think?

For the n dice problem, is it possible to do without knowing the value of n? Will it hold true for every n?

---

"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."

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: What do you think?

Hi Howardroark;

For B(0,2) and C(0,0) you get:

Which is slightly larger than the calculus answer. I ran a program to try many different locations for point B. I believe the calculus answer is the minimum. Glad you looked at the problem.

Hi gAr;

What problem are we talking about?

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

gAr

Member

Registered: 2011-01-09

Posts: 3,482

Re: What do you think?

Hi bobbym,

Here is the newest killer:

When n dice are rolled, the probability of obtaining a sum of 2011 is the same as the probability of obtaining a sum of s. What is the smallest value of s?

I was asking about this, you posted 10 days ago...

---

"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."

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: What do you think?

Hi gAr;

I am not understanding what you are asking. Yes, that problem can always be solved.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Howardroark

Member

Registered: 2010-10-10

Posts: 382

Re: What do you think?

Hi gAr,

I think the value of n must be unique.. The minimum value of n is 336..

---

I come from a civilization which has given the world the number 0..

gAr

Member

Registered: 2011-01-09

Posts: 3,482

Re: What do you think?

Hi Howardroark,

Yes, minimum is 336. I was wondering whether the answer will be the same for any n ≥ 336, and I'm sure bobbym checks it before posting the questions. It is relatively easy for n = 336.

---

"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."

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: What do you think?

Yes, the minimum number of die is 336. But the question wants the minimum S which has the same probability as a sum of 2011 with the 336 dice.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

gAr

Member

Registered: 2011-01-09

Posts: 3,482

Re: What do you think?

Hi bobbym,

I was simply trying to verify for different n values.
Here is the answer I believe to be true.

---

"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."

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: What do you think?

Sorry, I was snacking.That is correct! Very good.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

gAr

Member

Registered: 2011-01-09

Posts: 3,482

Re: What do you think?

Cool!
Am I right with the probability value also?

---

"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."

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: What do you think?

Yes, the probability is correct also!

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

gAr

Member

Registered: 2011-01-09

Posts: 3,482

Re: What do you think?

Good, good! You pose wonderful problems!!

---

"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."

Howardroark

Member

Registered: 2010-10-10

Posts: 382

Re: What do you think?

Hi bobbyM, 
This is my answer for dice..

---

I come from a civilization which has given the world the number 0..