1024^2 = 1048576

1048576^(1/5) = 16

4/1024 * 3/1023 = 12/1047552 = 3/261888

EDIT: It is only my last disision that is incorrect 12 /1047552 = 1/87296 NOW our answers agree

Thanks Builderboi. Oh, and your answer is a lot more elegent than mine is

This is a post I was referring to. It is rude to not respond and then just repost.

https://web2.0calc.com/questions/probability_37639#r1

Yes, the second part of my comment may not be correct. I appologise for that.

f(x) = (x-9)/(5x+4) Find an equation for the tangent line of f at x=8

\(f(8)= \frac{-1}{44}\)

\( f(x) = \frac{(x-9)}{(5x+4)}\\ f'(x)=\frac{(5x+4)(1)-5(x-9)}{(5x+4)^2} \\ f'(x)=\frac{5x+4-5x+45}{(5x+4)^2} \\ f'(x)=\frac{49}{(5x+4)^2} \\ f'(8)=\frac{49}{(44)^2} \\ f'(x)=\frac{49}{1936}\)

Equ of tangent

\(\frac{49}{1936}=\frac{y+\frac{1}{44}}{x-8}\\ 49(x-8)=1936(y+\frac{1}{44})\\ 49x-392=1936y+44\\ 49x-1936y=436\)

I suggest you check this carefully

Thanks for responding and you are very welcome.

Proyaop,

Please do not answer over other people's teaching answers.

You are just making their answer worthless and facilitating cheating.

Hi Proyaop

Why do you think that this function is even. It does not say so in the question.

How can you know what f(-x) looks like at all?

Firstly, it would be polite to respond after each time someone answers a question. Especially when it is a 'real' answer.

** You already asked this question in its non-proofed form and I answered.

Secondly, if you copy the whole question into google you will get several readily available answers.

I do not think that you have proof read this.

I looked at scenarios.

If both red are on the outside triangle there are 3 ways to choose which

For each of those ere are 2 ways to place the other colours. Equalling 2*3 = 6 ways

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If both reds are on the inside triangle there a 3 ways to chose the dots then 2 ways to place the other colours so that is another 6

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If one red is inside and the other outside then there are 3 ways to choose where then there are 4 ways to place the other colours = 3*4=12

So I think that there are 6+6+12 = 24 ways.

I think the third and fourth ones are both right assuming order counts.

k

1) Give k lolipops of different flavours to n kids, if each kid gets at most one lolipop.

Chose which k kids get a lolipop that would be nCk then decide who gets which lollipop that would be k!

so I think it is nCk * k!

2) give k loliopops to n kids if kids can get any number of lolipops. This is complicated and none of the above.