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Maths
GCSE

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.

Answered by Muhammed S. Maths tutor
2336 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
2550 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
2359 Views

An exam has two papers. Alan scores: 33 out of 60 on paper 1 & 75 out of 100 on paper 2. Work out his percentage score for the exam?

His total score is 33+75=108The total marks of the exam is 60+100=160His score as a fraction of the total marks is 108/160To find his percentage score, multiply 108/160 by 100 which is 67.5%

Answered by Alan H. Maths tutor
8904 Views

Solve: x^2-x-6 using factorisation.

To tackle this question we start by thinking about how many brackets will we need to factorise this equation. As there are three parts to the equation it is most likely we are looking for two brackets. K...

Answered by Maths tutor
3235 Views

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