All Answers 358460 Answers

Every time I check my profile, I see my email, though.

Hu....

It is not on your profile on this site.   

I also know that my email is shown on my profile, so it kind of is public.

Oh, I didn't remember putting that in. I do have the power to control everything, though, so I could take that out.

I saw the first question posted was a math question posted by a guest (and answered by admin), and the one posted by Admin was also math. I didn't see many, but maybe I should check out more from that time.

Tanmai, I am happy to accept that you are 11.  I usually take people at face value.

I could not see the photos on that site but what I did see is your personal email.

I am not comfortable with you giving your email to every random person on this site so I have blanked your post.

None of us know who might contact you or what their motives may be. 

I am attempting to make the internet a little safer for you.  

Yep...I joined in Mar 2014.....

As Melody said.....it used to be more "wacky".....before we got "grown-up".....

[ and more stodgy ]

Ummm 90%   LOL 

Hi Tanmai,

You don't need to appologize. 

I like it that you are poking about into this site's history.  

There have been some big changes since 2012. I was not even here till near the end of 2013!

Before i came along this site was mostly just used by a few children as their own private chat site. 

Some questions did fall in via the calculator but they were rarely answered.

The forum has come a long way since then thanks to all our wonderful members and guests. 

We used to have a lot of fun here before the site became 'all grown up'  LOL

It is still good though, it is just more mature :))

LOL!!!!!

What do you think our probability of being correct is   ????

Here's my best attempt

Probability  that Badgers win at least 4 games   =

1 - Probability that they win < 4 games =

1 - [ C(7, 0) + C(7, 1) + C(7,2) + C(7, 3) ] * (1/2)^7  =   1/2

Your wording is unclear.  Are you looking at a graph and trying to describe it?

Can someone make an equation of which the result is x divided by y, but the bigger x is, the smaller y is. So, if x is small, like 2, the result should be about x, but when x is big, like 2000, the result should be relatively small compared to x.

What about  .......

\(y=\frac{4}{x}\)       where x is positive

Is this what you mean?

It does seem simple but I think it is correct. :/

On the refrigerator, MATHEMATICS is spelled out with 11 magnets, one letter per magnet. Two vowels and four consonants fall off and are put away in a bag. If the T's, M's, and A's are indistinguishable, how many distinct possible collections of letters could be put in the bag?

I just chose to count them

a a e i    choose 2     and          m m t t h c s     choose 4

vowels first

aa

ae

ai

ei

thats it     4 ways to chose the vowels

now

m m t t h c s     choose 4

I will use m and t for themselves and * for any other letter

mmtt    (1)

mmt*    (3)

mm**    (3)

ttm*      (3)

tt**       (3)

mt**     (3)

m***     (1)

t***       (1)

total = 18 ways

4*18=72

So there are 72 distinct combinations of 2 vowels and 4 consonants.

I agree with Melody

On the first 2008 flips.....each should have the same results

On the 2009th flip, Gimli has a (1/2) probability of getting a head

This seems too simple....usually, when that's so.....I've not considered some important aspect of the problem.....LOL!!!!

Thanks, Alan

Here's another method...."divide and average"

Since 1.5^2 = 2.25.....Let   us guess that the square root of 2   =  1.5    

[ This is arbitrary....we could pick another value, if we wished....the method will still work ]

Divide    2 /1.5    =  1.33

Average this with  1.5    =  [ 1.33 + 1.5] / 2   = 1.415

Divide   2 / 1.415   =  1.4134

Average this with 1.415  =  [ 1.415 + 1.4134 ] / 2   = 1.4142

Divide  2 / 1.4142   =  1.4142

We can stop here.....this = √2   to  4 decimal places....!!!!

Let $f(x)$ be the polynomial $f(x)=x^7-3x^3 2.$ If $g(x) = f(x   1)$, what is the sum of the coefficients of $g(x)$?

Please write this either with properly presented latex or with no latex at all.

The meaning is not clear.  What is f(x  1) supposed to mean?

Legolas flips a fair coin 2008 times, and Gimli flips another fair coin 2009 times. What is the probability that Gimli flips more heads than Legolas?

I think it would just be 0.5 

-4x^3(x+1)^4(x-3)^2(x-5)(x+2)^2 Why is the degree

\(-4x^3(x+1)^4(x-3)^2(x-5)(x+2)^2\)

the degree is the highest power of x.

\(x^3\cdot x^4\cdot x^2\cdot x^1\cdot x^2=x^{12}\)

So the degree is 12

We need an exponential growth model, here

The function that ost cosely mdels the data   is

f(x)   = 11.7588 ( 1.4094 )^x

There are several ways to find the approximate value of the square root of a number.  One of the simplest is to use Newton's method.  If you want to find the square root of N, start with an initial guess x₀, then iterate using the following:  

x_n+1 = (x_n + N/x_n)/2    where n is the iteration number. (i.e.   n = 0, 1, 2, 3, ... etc.)

Continue iterating until the result is as accurate as desired.

Call the number of additional slips showing a '4", x

So we have

2 [  8 / (10 + x) ]   +  4  [ 2 + x ] / [ 10 + x ]   = 3.5         simplify

16 / (10 + x)   +  [ 8 + 4x] / (10 + x)   = 3.5

16  +  8  +  4x    =   3.5 ( 10 + x)

24 + 4x    =  35 + 3.5x

.5x   =   11

x =  22

2 * [ 8 / (10 + x) ]   +  4  [  x + 2] / [10 + x]  =  3

Where x is the number of additional slips  showing "4"

Simplify the above.....and we get

[ 16 +  4x + 8 ] / [ 10 + x ]  = 3

24 + 4x      =  3 [ 10 + x ]

24 + 4x = 30 + 3x

x =  6

2 * (8/10)   + (4 + x) (2/10)  =  3

Where x is the number of additional slips showing "4"

Simplify the above.....and we get

8/5  + (4 + x) (1/5)   =  3

8/5  + 4/5   +  x /5 =  3

12 / 5 + x / 5 =  3      [ multiply through by 5 ]

12 +  x   =   15

And it's obvious that x =   3

OK....!!!