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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.

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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 ...

Answered by Thomas S. • Maths tutor

3309 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-...

Answered by James A. • Maths tutor

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A-level circle question

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

Answered by • Maths tutor

3264 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...

Answered by Dhruv S. • Maths tutor

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