Would the possibility not be infinite as there are an infinite number of chances?

Not necessarily because it might fall at an angle!

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http://www.therageclub.com

Would the possibility not be infinite as there are an infinite number of chances?

Not necessarily because it might fall at an angle which could also be infinite which would mean a circle! So out with the cosine and pi calculations! And it can only fall at most on one line! I found this question about ten years ago in a book about gambling and wagering odds for a project I was working on. I actually drew the lines (well not an infinite number)!!
I know the answer, does that count as cheating? I'll send you the answer in a PM, ok Luke?

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http://www.therageclub.com

Would the possibility not be infinite as there are an infinite number of chances?

Not necessarily because it might fall at an angle which could also be infinite which would mean a circle! So out with the cosine and pi calculations! And it can only fall at most on one line! I found this question about ten years ago in a book about gambling and wagering odds for a project I was working on. I actually drew the lines (well not an infinite number)!!
I know the answer, does that count as cheating? I'll send you the answer in a PM, ok Luke?

Thanks for the PM in reply. I'll post my answer as being 2/pi.

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http://www.therageclub.com

Would the possibility not be infinite as there are an infinite number of chances?

Not necessarily because it might fall at an angle which could also be infinite which would mean a circle! So out with the cosine and pi calculations! And it can only fall at most on one line! I found this question about ten years ago in a book about gambling and wagering odds for a project I was working on. I actually drew the lines (well not an infinite number)!!
I know the answer, does that count as cheating? I'll send you the answer in a PM, ok Luke?

Very true.... I forgot to take into account the spaces, DUH! LOL!

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Question 19 (1 Point):
Consider a infinite number of parallel lines, spaced one inch apart from each other. If you dropped a one inch toothpick at random on this set of lines what is the probability the toothpick would cross a line?

2/pi ~= 0.63661977236758134307553505349006

explanation:
It's 2 in pi (in 180 degrees, the stick could be touching or crossing the line at both ends in two orientations), multiplied by an infinite number of equally possible angles&offsets, which integrates to 1: so it's (2/pi)*1

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"Living by the wisdom of computer science doesn't sound so bad after all. And unlike most advice, it's backed up by proofs." -- Algorithms to live by: The computer science of human decisions.

What's the thickness of the toothpick?

I take it that this is a 2-dimensional problem and the toothpick cannot pass through the plane the lines are in. In 3-dimensions the probability is 100% that the toothpick crosses all lines as it passes though the plane ;-)

What's the thickness of the toothpick?

I take it that this is a 2-dimensional problem and the toothpick cannot pass through the plane the lines are in. In 3-dimensions the probability is 100% that the toothpick crosses all lines as it passes though the plane ;-)

Yes, if you place an olive, or an unstaked pig in a blanket, directly underneath the falling toothpick, that raises the probability of the non-flat result. I think our mathematical plane is 2 dimensionsal and flat (and solid). [Edit: mmmmmm, pigs in blankets...]

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"Living by the wisdom of computer science doesn't sound so bad after all. And unlike most advice, it's backed up by proofs." -- Algorithms to live by: The computer science of human decisions.

.1252 Minutes is the correct... Two people reached that answer...

So I see it like this:

1/2 Points to BeefDog
1/2 Points to JD...

It's only fair, since Beefdog retracted his minutes answer, before re-instating it.

Standings:
1. Jason Gee - 5 1/2 Points
2. Fred - 4 Points
3. JDWhale - 1 1/2 Points
4. BeefDog - 1 1/2 Points
5. Gas Giant - 1 Point
6. Dominique - 1 Point
7. Zach Parker - 1 Point
8. TBD...

Question 19 (1 Point):
Consider a infinite number of parallel lines, spaced one inch apart from each other. If you dropped a one inch toothpick at random on this set of lines what is the probability the toothpick would cross a line?

Luke.

So you think you can actually heat baby formula from 59f to 77f by dipping it in boiling water for 7.5 seconds?

I don't care what non-infant feeding doofus came up with that question but whatever the answer is it really can't be determined as asked because you don't know the volume of the baby bottle itself.

Little tiny bottle 7.5 seconds big bottle X seconds.

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So you think you can actually heat baby formula from 59f to 77f by dipping it in boiling water for 7.5 seconds?

I don't care what non-infant feeding doofus came up with that question but whatever the answer is it really can't be determined as asked because you don't know the volume of the baby bottle itself.

Little tiny bottle 7.5 seconds big bottle X seconds.

Question 18: You need to warm milk in a baby bottle from its initial temperature of 15 degrees centigrade to 25 degrees. You put the bottle in a pot of boiling water which stays at constant temperature of 100 degrees. The thickness and conductivity of the bottle are such that the initial rate of heat transfer is 85 degrees per minute. However heat transfer is proportional to the difference between the temperature of the milk and the water. How many minutes will it take to heat the bottle to 25 degrees?

It's not baby formula, it says "milk" in the question.... Also it says the water stays at a constant temperature of 100°c.

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http://www.therageclub.com

Jason Gee wins Question 19... Which means 1 Point to him. Come on guy's and gal's! You can beat him!

Standings:
1. Jason Gee - 6 1/2 Points
2. Fred - 4 Points
3. JDWhale - 1 1/2 Points
4. BeefDog - 1 1/2 Points
5. Gas Giant - 1 Point
6. Dominique - 1 Point
7. Zach Parker - 1 Point
8. TBD...

Question 20 (1/2 point): 14*12*6(squared)/3(cubed)*5(Tessarected!?)=?

Luke.

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- Luke.

Jason Gee wins Question 19... Which means 1 Point to him. Come on guy's and gal's! You can beat him!

Standings:
1. Jason Gee - 6 1/2 Points
2. Fred - 4 Points
3. JDWhale - 1 1/2 Points
4. BeefDog - 1 1/2 Points
5. Gas Giant - 1 Point
6. Dominique - 1 Point
7. Zach Parker - 1 Point
8. TBD...

Question 20 (1/2 point): 14*12*6(squared)/3(cubed)*5(Tessarected!?)=?

Luke.

I actually posted my answer before Jason!!

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http://www.therageclub.com

Jason Gee wins Question 19... Which means 1 Point to him. Come on guy's and gal's! You can beat him!

Standings:
1. Jason Gee - 5 1/2 Points
2. Fred - 4 Points
3. JDWhale - 1 1/2 Points
4. BeefDog - 1 1/2 Points
5. Gas Giant - 1 Point
6. Dominique - 1 Point
7. Zach Parker - 1 Point
8. TBD...

Question 20 (1/2 point): 14*12*6(squared)/3(cubed)*5(Tessarected!?)=?

Luke.

I actually posted my answer before Jason!!

Sorry, BeefDog!!! I missed your post, It was very small!
I hereby award the point to BeefDog...


Standings:
1. Jason Gee - 5 1/2 Points
2. Fred - 4 Points
3. BeefDog - 2 1/2 Points
4. JDWhale - 1 1/2 Points
5. Gas Giant - 1 Point
6. Dominique - 1 Point
7. Zach Parker - 1 Point
8. TBD...

Question 20 (1/2 point): 14*12*6(squared)/3(cubed)*5(Tessarected!?)=?

Luke.

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- Luke.

Jason Gee wins Question 19... Which means 1 Point to him. Come on guy's and gal's! You can beat him!

Standings:
1. Jason Gee - 5 1/2 Points
2. Fred - 4 Points
3. JDWhale - 1 1/2 Points
4. BeefDog - 1 1/2 Points
5. Gas Giant - 1 Point
6. Dominique - 1 Point
7. Zach Parker - 1 Point
8. TBD...

Question 20 (1/2 point): 14*12*6(squared)/3(cubed)*5(Tessarected!?)=?

Luke.

I actually posted my answer before Jason!!

Sorry, BeefDog!!! I missed your post, It was very small!
I hereby award the point to BeefDog...


Standings:
1. Jason Gee - 5 1/2 Points
2. Fred - 4 Points
3. BeefDog - 2 1/2 Points
4. JDWhale - 1 1/2 Points
5. Gas Giant - 1 Point
6. Dominique - 1 Point
7. Zach Parker - 1 Point
8. TBD...

Question 20 (1/2 point): 14*12*6(squared)/3(cubed)*5(Tessarected!?)=?

Luke.

I hope this is what you meant!
14*12*6²/3³*5(to the power of 4)
=14*12*36/9*(5x5x5x5)
=672*625
=420000
=

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http://www.therageclub.com

Question 20 (1/2 point): 14*12*6(squared)/3(cubed)*5(Tessarected!?)=?

Luke.

140,000

So you think you can actually heat baby formula from 59f to 77f by dipping it in boiling water for 7.5 seconds?

I don't care what non-infant feeding doofus came up with that question but whatever the answer is it really can't be determined as asked because you don't know the volume of the baby bottle itself.

Little tiny bottle 7.5 seconds big bottle X seconds.

Question 18: You need to warm milk in a baby bottle from its initial temperature of 15 degrees centigrade to 25 degrees. You put the bottle in a pot of boiling water which stays at constant temperature of 100 degrees. The thickness and conductivity of the bottle are such that the initial rate of heat transfer is 85 degrees per minute. However heat transfer is proportional to the difference between the temperature of the milk and the water. How many minutes will it take to heat the bottle to 25 degrees?

It's not baby formula, it says "milk" in the question.... Also it says the water stays at a constant temperature of 100°c.

Milk, water, formula, whatever. The boiling water is at a constant 100c/212f. But a 4oz. bottle will heat up faster than an 8oz. bottle. As I stated there was NO indication of the volume of the baby bottle. To get your answer What size did you assume the bottle to be? It does make a difference.

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Doh, caught sleeping again :C

Q20 Answer: 140,000

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"Living by the wisdom of computer science doesn't sound so bad after all. And unlike most advice, it's backed up by proofs." -- Algorithms to live by: The computer science of human decisions.

So you think you can actually heat baby formula from 59f to 77f by dipping it in boiling water for 7.5 seconds?

I don't care what non-infant feeding doofus came up with that question but whatever the answer is it really can't be determined as asked because you don't know the volume of the baby bottle itself.

Little tiny bottle 7.5 seconds big bottle X seconds.

Question 18: You need to warm milk in a baby bottle from its initial temperature of 15 degrees centigrade to 25 degrees. You put the bottle in a pot of boiling water which stays at constant temperature of 100 degrees. The thickness and conductivity of the bottle are such that the initial rate of heat transfer is 85 degrees per minute. However heat transfer is proportional to the difference between the temperature of the milk and the water. How many minutes will it take to heat the bottle to 25 degrees?

It's not baby formula, it says "milk" in the question.... Also it says the water stays at a constant temperature of 100°c.

Milk, water, formula, whatever. The boiling water is at a constant 100c/212f. But a 4oz. bottle will heat up faster than an 8oz. bottle. As I stated there was NO indication of the volume of the baby bottle. To get your answer What size did you assume the bottle to be? It does make a difference.

C'mon... Maths exists in an idealised world (another example is the "frictionless" slope) and here the question implies that all the milk is at the same temperature at all times i.e. no temperature gradient other than through the bottle wall - clearly preposterous. Perhaps this idealised bottle is for the idealised baby that sleeps 8 hours straight over-night and is potty-trained from the moment of birth? ;P

F.

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C'mon... Maths exists in an idealised world (another example is the "frictionless" slope) and here the question implies that all the milk is at the same temperature at all times i.e. no temperature gradient other than through the bottle wall - clearly preposterous. Perhaps this idealised bottle is for the idealised baby that sleeps 8 hours straight over-night and is potty-trained from the moment of birth?
;P
F.

And that's why mathematicians are so dull and boring. They all to often don't like to think outside of the box.

BTW, all I asked was, "what size is the bottle?" No one seems to be able to answer that question.

So being just a "dumb broad" I guess I shouldn't ask any clarifying questions. I'll ,just "shut up" and leave. Sorry for bothering you "guys".

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The mathematician weighs in with Dominique on this one.
Fred, your statement about idealization is only true to an extent.
A well-posed problem would have indeed addressed what has concerned Dominique.

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Capitalize on this good fortune, one word can bring you round ... changes.

The mathematician weighs in with Dominique on this one.
Fred, your statement about idealization is only true to an extent.
A well-posed problem would have indeed addressed what has concerned Dominique.

Ohh you old smoothie. That's what works with the girls is it? ;)

Can't necessarily claim not to be boring but I can't claim to be a mathematician either; just enjoy playing with numbers and concepts.

In my defence, can I just say that I was trying to (mildly humorously) highlight that this is the "Simple" Maths Problems thread and this would not be a simple problem if we have to include the effects of thermal gradients within the milk causing convection currents to come up with the "average" temperature of the milk. Even basic thermodynamics makes me duck for cover.

Please stick around Dominique. I've enjoyed your contributions to this thread.

F.

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