Mathematics - 5 June 2006

There are four balls, each with a distinct integer label, in a bag. It is known that the product of the
integers on the labels is 24. If a ball is picked at random, the probability that the label is an even natural
number is:
(1) ¼ (2) ¾ (3) ½ (4) None of these

solution:
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If there are four balls in a bag each with an integer label and the product = 24, then the labels have to be 1, 2, 3,4 or (-1, -2, -3, -4) or (1, 2, -3, -4) or (1, -2, -3, 4) and so on. As the product of the 4 integers is positive either two
or four of the integers have to be positive. Taking conditional probabilities, the answer obtained is none of the
choices (1) to (3).


Question:
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i dont understand how they solved it. whats the meaning with "Taking conditional probabilities, ......"

how this can help to achieve the solution ?

can u help ?

thanks

2006-06-05 23:51:06 · 3 answers · asked by sanko 1

what is the difference between sir fermats last theorem and the my statement which states that
"any given number having any given power can be expressed as difference of infinite sets of two perfect squares like 2 ^ (4) = 5 ^ (2) -3 ^(2)?

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what will be the center of the axis having +1 on one side and same +1 on other side? what will be the center of the axis having +2 on one side and +5 on other side?

2006-06-05 22:21:44 · 2 answers · asked by rajesh bhowmick 2

what is the difference between sir fermats last theorem and the law of numbers which states that any given number with any given power can be expressed as difference of infinite sets of two perfect squares? like 2 ^ (4) = 5 ^ (2) - 3 ^ (2).

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Can you decode the following to find a hidden message?
Hint: You've probably got a tool to do so with you now.

Q5A6Q3 A1Z6A2Q2Q3Q4 Q8A2 A1Q5 Q6Q9Q7Q4 A4Q8Z6AGQ3Q4Q5Q8Q10A2

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You wouldn't believe that I've got a degree in maths, but I can't answer this. My friend, the local pharmacist asked me; this guy is given 20 grams of drug in 100 mls. of water. He's instructed to take 5 mls each day of the solution and top the bottle of solution up with H2O. So the first day he gets 1 gram of drug. The next day, when he takes his 5 mls. of solution, it only contains 0.95 grams of drug, because he's already consumed some of the drug and diluted it. And so on. What is the formula that tells you how many grams of the drug he gets on the nth day?

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(ALGEBRA-QUADRATIC MODELS):
A. when is the bullet at its highest point?
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C.what is the maximum height the bullet will attain?
thanks alot guys! :)

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11) 4/y-2 +1/y
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14) 9/y-1/4=1/5
15) 12/x-12/x-2= -3

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One book conclude 300 pages...

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im a little confuse... i just wanna be sure because those who answer on my math questions are great! im so thankful to you guyz!

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Providing a mathmatic proof is not necessary, but the answer should still be justified and mathmatically valid.

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(a) L1 = {wcw | w contained in {a, b}*}
(b) L2 = {xy | x, y contained in {a, b}* and |x| = |y|}
(c) L3 = {an | n is a prime number}
(d) L4 = {(a^m)(b^n) | gcd(m, n) = 17}.

I need to prove whether these are regular languages or not using Myhil Nerode or the pumping Lemma. Can anyone help??!!

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it takes 6 hours for 3 photocopiers to finish a copying job. How long would it take 8 copiers to finish the same job?

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http://img64.imageshack.us/my.php?image=problem5fz.jpg

whats the answer ?

i took 1,4,2,3,5,6 as the value of a,b,c,d,x,y

but this did not produce the correct result.

how do i solve ?
how do i choose which adheres the above condition ?

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The govt. decides to give farmers a special bonus for each row of four trees they plant. An intelligent farmer found a way of planting five such rows of trees - but the surprising fact is that he did it with only ten trees. How was it possible?

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Suppose x varies jointly as w and y and inversely as z, and x=4 when w=12, y=10, and z=5. Find x when w=9, y=14, and z=0.1.

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It takes 5 hours for 3 typists to type a set of letters. How long would it take 8 typists to type the letters?

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Just asking for a research project, what is the volume and area of the Louvre Pyramid? I don't remember area and volume of a pyramid..

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Three friends check into a motel for the night and the clerk tells them the bill is $30, payable in advance. So they each pay the clerk $10 and check into their room.A few minutes later the clerk realized he made a mistake and overcharged them by $5.He asks the bellhop to go up and return the $5 to them.The bellhop sees this as an opportunity to profit $2 so he tells the friends that they were overcharged $3,since it would be hard to divide $5 equally between them, giving a dollar to each.He pockets the leftover $2 and goes home for the night.Now, each of the three friends gets a dollar back,so they only pay $9 each for the room which is $27 for the night.We know the bellhop took $2 and adding that to the $27,thats $29, not $30 which was originally spent. Where did the other dollar go??

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If that were the case man would have began creating numbers all those centries ago and someone would still be coming up with numbers and it would be a 24-7 deal.Does that make sense?

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how long to the nearest tenth will the ball fall 225ft?
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