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Author Topic:   Brain Exercises
Mom
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Posts: 221
Registered: Aug 2000

posted 06-03-2001 03:13 PM     Click Here to See the Profile for Mom   Click Here to Email Mom     Edit/Delete Message Reply w/Quote
1. What is the next number in the sequence?
1 4 9 7 7 9 4 1


you need to show and/or explain how you reached your answer


2. If 1/3 of some number is 1/17 of 1/5, what is that number?


3. If you toss four pennies, what is the probability that you will get two heads and two tails?

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FlyingFortress
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Posts: 438
Registered: Aug 2000

posted 06-03-2001 04:34 PM     Click Here to See the Profile for FlyingFortress   Click Here to Email FlyingFortress     Edit/Delete Message Reply w/Quote
Um, for the first one, is it 4? just a guess...

for the 2nd question.

its

x/3= 1/7(1/5)
x/3=1/35
x=3/35
so the answer is 3/35

for the 3rd question.

its
P(X=2)=(4ncr2)(1/2)^2(1/2)^2
=6(1/4)(1/4)
=6/16
=3/8

so the answer is 3/8

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911POZ
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Posts: 219
Registered: Aug 2000

posted 06-03-2001 08:17 PM     Click Here to See the Profile for 911POZ     Edit/Delete Message Reply w/Quote
1. What is the next number in the sequence?
1 4 9 7 7 9 4 1

1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16 1 + 6 = 7
5^2 = 25 2 + 5 = 7
6^2 = 36 3 + 6 = 9
7^2 = 49 4 + 9 = 13 1 + 3 = 4
8^2 = 64 6 + 4 = 10 1 + 0 = 1
9^2 = 81 8 + 1 = 9

So i guess the next number would be nine (9).


2. If 1/3 of some number is 1/17 of 1/5, what is that number?

1/3x = 1/17 * 1/5
1/3x = 1/85
x = 3/85

I think it is 3/85, but of not sure of that because it looks a little too simple.


3. If you toss four pennies, what is the probability that you will get two heads and two tails?

oh statistics, im bad at stats, lets take the long way

T T T T (1)
T T T H (2)
T T H T (3)
T H T T (4) (oh man that will be long)
T H H T (5)(1)
T H T H (6)(2)
T T H H (7)(3)
T H H H (8)
i think thats it for the ones starting with T

H H H H (9)
H H H T (10)
H H T H (11)
H T H H (12)
H T T H (13)(4)
H T H T (14)(5)
H H T T (15)(6)
H T T T (16)
same pattern as the ones starting with T

if you put the two series together, and select the ones with H in second place there is 3 that are 2T 2H

anyways i think the odds are 3/8
(my way wasnt as good as FF's way...)

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FlyingFortress
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posted 06-03-2001 08:25 PM     Click Here to See the Profile for FlyingFortress   Click Here to Email FlyingFortress     Edit/Delete Message Reply w/Quote
woops, got the 2nd wrong cuz i read to fast and did it for 1/7, not 1/17. my bad

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Mom
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Registered: Aug 2000

posted 06-03-2001 08:51 PM     Click Here to See the Profile for Mom   Click Here to Email Mom     Edit/Delete Message Reply w/Quote
POZ is correct

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911POZ
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Posts: 219
Registered: Aug 2000

posted 06-03-2001 09:56 PM     Click Here to See the Profile for 911POZ     Edit/Delete Message Reply w/Quote
What do i win ?

Edit : Oh, and Mom, now that i have your attention, i'd like to bring it on the fact that the Questions and Answers you use for your trivias are often (hmmm ok lets say "sometimes", often seems a little too often) outdated/wrong

[This message has been edited by 911POZ (edited 06-03-2001).]

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Mom
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posted 06-03-2001 10:41 PM     Click Here to See the Profile for Mom   Click Here to Email Mom     Edit/Delete Message Reply w/Quote
who says you win anything?

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Mom
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posted 06-03-2001 10:42 PM     Click Here to See the Profile for Mom   Click Here to Email Mom     Edit/Delete Message Reply w/Quote
and tell me which ones are wrong...

please be specific

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911POZ
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posted 06-04-2001 09:19 AM     Click Here to See the Profile for 911POZ     Edit/Delete Message Reply w/Quote
the last time i assisted to one of your trivias is a long time ago i cant remember.... the next time i am there when u do one i'll post them here...

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penspinner
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posted 06-04-2001 09:17 PM     Click Here to See the Profile for penspinner   Click Here to Email penspinner     Edit/Delete Message Reply w/Quote
argh ... discrete probability ....
(faints)

-pen

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FlyingFortress
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posted 06-04-2001 11:17 PM     Click Here to See the Profile for FlyingFortress   Click Here to Email FlyingFortress     Edit/Delete Message Reply w/Quote
pen, discrete math (or finite, as some ppl call it) is way easier than say, calculus or whatever

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911POZ
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Posts: 219
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posted 06-05-2001 07:13 AM     Click Here to See the Profile for 911POZ     Edit/Delete Message Reply w/Quote
How is calculus 3 compared to the two first ?

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