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**Mathegocart****Member**- Registered: 2012-04-29
- Posts: 1,917

1. If x and y are real numbers,and x^2 = (y^2-x^2), find all possible values of x and y.

2. What is 2^2 + 2^-3 + 2^4 + 2^-5........

3. Bobbym is stranded on a desert island. To cure his boredom, he plays the game of Bobbymcoin. He flips a fair coin 10 times.

He gets 2 points for every head and -2 points for every tail. However, he gets +10 points for 1 PAIR of heads. What is bobbym's average score?

4. 1/2 + 1/3 + 1/4 + 1/5..... =

5. Agnishom is stuck in a stone dungeon in where he fights a slime. Agnishom has 10 health points. He has a 40% chance to deal 1 damage, a 20% chance to deal 2 damage, and 20% chance to do nothing. The slime deals 2 damage when Agnishom does nothing. What is the chance that Agnishom kills the slime without getting killed?

6. f(x) = 2x^2-log(2x^2). What is f(1)-f(2)+f(3)-f(4)..... If it diverges, r\write DIVE as your answer.

*Last edited by Mathegocart (2016-06-07 08:02:25)*

The integral of hope is reality.

May bobbym have a wonderful time in the pearly gates of heaven.

He will be sorely missed.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**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.**

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**Mathegocart****Member**- Registered: 2012-04-29
- Posts: 1,917

bobbym wrote:

Hi;

Duh

The integral of hope is reality.

May bobbym have a wonderful time in the pearly gates of heaven.

He will be sorely missed.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

You are adding increasing large powers of 2 with some small numbers. There can be no convergence because the terms of this series do not get smaller.

I also will need a bit more to solve #3. I can make assumptions but they may not be what you want.

For instance, supposing we get this for 10 coin flips:

H, T, T, H, H, H, H, T, H, T

That H, H, H, H, do you call it 3 groups of H, H and add 30?

**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.**

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**Mathegocart****Member**- Registered: 2012-04-29
- Posts: 1,917

bobbym wrote:

You are adding increasing large powers of 2 with some small numbers. There can be no convergence because the terms of this series do not get smaller.

I also will need a bit more to solve #3. I can make assumptions but they may not be what you want.

For instance, supposing we get this for 10 coin flips:

H, T, T, H, H, H, H, T, H, T

That H, H, H, H, do you call it 3 groups of H, H and add 30?

Yes and I knew it would not converge.

however h h h h h would be 2 pairs.

*Last edited by Mathegocart (2016-06-06 22:03:21)*

The integral of hope is reality.

May bobbym have a wonderful time in the pearly gates of heaven.

He will be sorely missed.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

however h h h h h would be 2 pairs.

2 pairs? How do you get that?

**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.**

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**Mathegocart****Member**- Registered: 2012-04-29
- Posts: 1,917

bobbym wrote:

however h h h h h would be 2 pairs.

2 pairs? How do you get that?

because there are only two COMPLETE pairs of h.

May bobbym have a wonderful time in the pearly gates of heaven.

He will be sorely missed.

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**Mathegocart****Member**- Registered: 2012-04-29
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sorry for misunderstandings bobbym

May bobbym have a wonderful time in the pearly gates of heaven.

He will be sorely missed.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

No problem.

On the pattern h h h h h do we say that h h h h h = 20 or h h h h h = 20 with an h left over which we would then say is 2?

**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.**

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**thickhead****Member**- Registered: 2016-04-16
- Posts: 1,086

*Last edited by thickhead (2016-06-08 19:04:57)*

**{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha{Gods rejoice at those places where ladies are respected.}**

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**thickhead****Member**- Registered: 2016-04-16
- Posts: 1,086

(6) divergent.

**{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha{Gods rejoice at those places where ladies are respected.}**

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**thickhead****Member**- Registered: 2016-04-16
- Posts: 1,086

mathgogocart wrote:

1. If x and y are real numbers,and x^2 = (y^2-x^2), find all possible values of x and y.

Why are the terms on R.H.S. within brackets? Is something missing?

*Last edited by thickhead (2016-06-08 19:26:57)*

**{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha{Gods rejoice at those places where ladies are respected.}**

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Howdy;

**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.**

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**Mathegocart****Member**- Registered: 2012-04-29
- Posts: 1,917

bobbym wrote:

Howdy;

He has 10 hp.

May bobbym have a wonderful time in the pearly gates of heaven.

He will be sorely missed.

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**thickhead****Member**- Registered: 2016-04-16
- Posts: 1,086

(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha

{Gods rejoice at those places where ladies are respected.}

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

We are almost ready to solve this:

5. Agnishom is stuck in a stone dungeon in where he fights a slime. Agnishom has 10 health points. He has a 40% chance to deal 1 damage, a 20% chance to deal 2 damage, and 20% chance to do nothing. The slime deals 2 damage when Agnishom does nothing. What is the chance that Agnishom kills the slime without getting killed?

40% + 20%+ 20% = 80%

What happens the remaining 20% ?

Perhaps you would like to change the percentages to 40%, 30% and 30%.

**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.**

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**Mathegocart****Member**- Registered: 2012-04-29
- Posts: 1,917

bobbym wrote:

Hi;

We are almost ready to solve this:

5. Agnishom is stuck in a stone dungeon in where he fights a slime. Agnishom has 10 health points. He has a 40% chance to deal 1 damage, a 20% chance to deal 2 damage, and 20% chance to do nothing. The slime deals 2 damage when Agnishom does nothing. What is the chance that Agnishom kills the slime without getting killed?

40% + 20%+ 20% = 80%

What happens the remaining 20% ?

Perhaps you would like to change the percentages to 40%, 30% and 30%.

Change it to what you say.

May bobbym have a wonderful time in the pearly gates of heaven.

He will be sorely missed.

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**thickhead****Member**- Registered: 2016-04-16
- Posts: 1,086

Do not take any step before consulting Agnishom. He knows the proper values of course if not already killed by slime.

(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha

{Gods rejoice at those places where ladies are respected.}

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

I have not seen Agnishom, so the slime guy may have gotten him. I will remember him forever.

mathgogocart wrote:

Change it to what you say.

I posted an answer here but the model I used was incorrect as pointed out to me by EVW. I am working on a better solution.

**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.**

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**thickhead****Member**- Registered: 2016-04-16
- Posts: 1,086

I can't make head or tail of the problem. I do not understand what are the health points and what it has to do with the fight.

(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha

{Gods rejoice at those places where ladies are respected.}

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**Mathegocart****Member**- Registered: 2012-04-29
- Posts: 1,917

clarification: Slime guy starts the fight.

May bobbym have a wonderful time in the pearly gates of heaven.

He will be sorely missed.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

I wished you would have told me that earlier because I just spent 2 days solving the problem with neither side starting first. That condition makes it a whole different problem.

**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.**

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