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Mathematics - 10 July 2006

[Selected]: All categories Science & Mathematics Mathematics

There are 6 prisoners and 36 hats of differents colors
(6 red hats, 6 orange, 6 yellow, 6 green, 6 blue, and 6 violet).

Each prisoner gets a hat, which can be any one of those six colors.
The colors of the hats are independent of each other and repetitions
are allowed. For instance, it may happen that all the hats are green.
Each prisoner can see only the colors of the five hats worn by the rest
five prisoners. No prisoner can see the color of his or her own hat.

The prisoners are to guess the colors of their own hats, writing down
their guesses on sheets of paper. No prisoner can see what other prisoners
are writing. No communication between the prisoners is allowed.

If at least one prisoner guesses correctly then all six prisoners go free.

The prisoners are allowed to plan out a strategy in advance,
and they hope to find a strategy which would guarantee them success
for every possible arrangement of hats. Is there such a strategy?
Either find one or show that it cannot exist.

2006-07-10 23:18:01 · 7 answers · asked by yakart 1

solve the equation 3 + 7 + 11 + 15 ........ + X = 1830

tanx
tom

2006-07-10 23:12:49 · 6 answers · asked by remo 2

2006-07-10 23:05:45 · 8 answers · asked by SnapShot 2

3-2(2+x)- 5x

and show me how.. i keep on getting -1+3x but it's wrong

2006-07-10 22:16:44 · 22 answers · asked by :) 2

2006-07-10 21:46:49 · 34 answers · asked by feriscokids 2

Is it because we are born with a genetic blocker that stop us from using our full brain potential or is it because we can't handle such an enormous task?

2006-07-10 21:45:28 · 12 answers · asked by gerlooser 3

As we somehow hit 124% of our target last week.

I however am sure that you cannot have more that 100%

Please help.

Can you get more than 100%, if so how?

Also If you can't, why?

Many thanks.

2006-07-10 21:44:01 · 29 answers · asked by robert d 2

it says draw a rectangle with a perimeter of 15 units.

wat would be the the length/width of each sides then?

please help!

2006-07-10 21:33:05 · 12 answers · asked by :) 2

my teacher said the inverse can't be x^2 so i'm stuck...

2006-07-10 21:08:01 · 10 answers · asked by kerwin p 2

1
1 1
1 2 1
1 3 3 1
1 4 6 4 1

2006-07-10 20:35:35 · 9 answers · asked by vardansem 2

Solve each inequailty. Graph the solution set. (No calcuators please) I wanna learn the old way

1. 2t - 9 < 21

2. 5x + 4 >or equal to 34

3. 6s - 7 < 29

4. 15- 2t >or equal to 55

5. 5(x - 3) >or equal to 15

6. -4(13 - 6t) < 26

2006-07-10 19:51:36 · 13 answers · asked by LaToya J 1

permutation sum plz help

2006-07-10 19:49:53 · 6 answers · asked by bioquest100 1

2006-07-10 19:42:10 · 19 answers · asked by Anonymous

If 6 chickens lay 18 eggs in 8 days, how many eggs would be laid by 4 chickens in 10 days?

2006-07-10 19:41:16 · 4 answers · asked by Michael M 6

2006-07-10 19:39:31 · 11 answers · asked by k.vasi 1

My flight takes of at 2am from a place at 18N 10E and landed 10 Hrs later at a place with coordinates 36N70W. What is the local time when my plane landed?

2006-07-10 18:56:34 · 11 answers · asked by san143 2

In a city, there are P saints and K killers. Imagine yourself visiting the city.

If two saints meet each other nothing happens. If a saint meets a killer, the killer kills the saint. If two killers meet, they kill each other. What are the chances of your survival in the city, assuming you don't kill anybody but you can be killed if you happen to meet a killer ?

2006-07-10 18:55:19 · 24 answers · asked by Anonymous

2006-07-10 18:46:28 · 12 answers · asked by lia r 1

Please don't say it depends on the person. I would need to learn math for the field I want to return to school for, but have not found any math ability. I am very discouraged, and wonder if anyone knows how to best become good at math. I know, by doing it, but I failed Algebra once, got a D the second time and finally a C. Thanks.

2006-07-10 17:40:42 · 9 answers · asked by Anonymous

It is said that in the entire course of human history, there is virtually no chance of the same exact pattern of fingerprints forming twice.But is it possible that this random,chaotic fingerprint pattern generation might result in a pattern to occur more than once in the process,on differnt individuals born at diffferent times .

2006-07-10 17:30:18 · 8 answers · asked by Tom 1

Tell me how the quadratic formula is made?
I need EVERY step to give a person credit.
I want to see who knows how the quadratic formula was invented.

2006-07-10 16:41:59 · 30 answers · asked by Anonymous

I am trying to get a brick layer to build a wall for my small bar-b-q pit. It is a right triangle with each of the two sides 1 foot long. The hypotenuse is therfore the square root of two feet. The bricklayer is confused with hytpotneuse wall that is an irrational length. So I told him to shorten one of the sides just enough so all 3 sides are rational numbers that he can measure. I want the one foot wall shortend as little as possible. What is the length of the shortened side?

2006-07-10 16:13:38 · 15 answers · asked by maxton 2

Find the Zeros for the polynomial functional and give the multiplicity for each zero. State whether the graph corsses the x-axis or touches the x-axis at each zero!

2006-07-10 16:11:25 · 7 answers · asked by lsubetty 2

Suppose we wanted to buy 100 birds ..(Chickens , goeses , and Ducks)...
when a chicken costs ¢50, goes costs $3 and Duck costs $5.
How many Chickens , goeses and ducks we can buy with $ 100 ????

2006-07-10 15:45:59 · 7 answers · asked by M. Abuhelwa 5

We have 100 birds ..(Chickens , goeses , and Ducks)...
Suppose that a chicken costs ¢50, goes costs $3 and Duck costs $5 ...How many Chickens , goeses and ducks we can buy with $ 100 ????

2006-07-10 15:44:26 · 5 answers · asked by M. Abuhelwa 5

2006-07-10 15:31:21 · 5 answers · asked by nick 1

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