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Amber has an unfair coin. The probability of throwing a tail is p. Amber throws the coin twice and the probability of throwing a head and then a tail is 6/25. Heads are more likely than tails. Show that 25p^2-25p+6=0 and find the value of p.

Tree diagramP(Head then tail) = p(1-p)=6/25Solve above equationp=2/5 as heads are more likely than tails.

MS
Answered by Muhammed S. Maths tutor
2678 Views

Find the solution of the differential equation: dy/dx = (xy^2 + x)/y. There is no need to rearrange the solution to be in terms of y.

This is a separable differential equation, so the first step is to separate the two variables. Factorise out the x from the top bracket so that the equation becomes: dy/dx = x(y^2+1)/yThe next step is to ...

TS
Answered by Thomas S. Maths tutor
3257 Views

Simplify fully (3x^2-8x-3)/(2x^2-6x)

First I would look for common factors in either the numerator or the denominator. The denominator has the common factor of (2x) so i would factorise it by 2x in order to give (3x2-8x-3)/(2x)(x-...

JA
Answered by James A. Maths tutor
2907 Views

A-level circle question

Answer will be provided during session (easier to write maths than to type)

Answered by Maths tutor
3222 Views

How do we complete the square with questions involving a number stuck with the x-squared?

Let me show you an example:Complete the square for the following equation....4x2+ 8x - 91) Divide the whole equation by 4, as this is the easiest way to make things simple. It allows us to comp...

DS
Answered by Dhruv S. Maths tutor
2666 Views

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