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Maths
A Level

What are the conditions for an event to be modeled with the binomial distribution?


The event should be; mutually exclusive from the other outcome, independent from the other outcome (so its probability doesn't change ) and happen within a ...

Answered by Maths tutor
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Why does a 'many to one' function not have an inverse?

Because its hypothetical inverse would be 'one to many' which is not a function. This is because a single x-value would map to several y-values at the same time.

Answered by Maths tutor
11072 Views

Show that (x-2) is a factor of 3x^3 -8x^2 +3x+2

The factor theorem states that a polynomial f(x) has a factor (x-k) if and only if f(k)=0. 
f(2) = 3(2)^3 - 8(2)^2 + 3(2) + 2 = 3(8) - 8(4) + 6 + 2 = 24 - 32 + 8 = 0.
==> (x-2) is a fac...

Answered by Samantha O. Maths tutor
4884 Views

Prove that the squared root of 2 is an irrational number

Let's start by assuming that the squared root of 2 is a rational number and will prove it is irrational by contradiction.If srqt(2) is rational then it can be represented by an irreducible fraction. Let t...

Answered by Raul N. Maths tutor
3256 Views

prove that lnx differentiated is 1/x

let y = lnx therefore e^y = x then differentiating both sides we get: dy/dx (e^y) = 1 dy/dx = 1/(e^y) and as e^y = x dy/dx = 1/x when y = lnx

Answered by Maths tutor
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