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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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Foundation role-play

Estás hablando con tu amigo colombiano/tu amiga colombiana. Yo soy tu amigo/tu amiga.1 Ask the candidate to give his/her opinion of school. ¿Cuál es tu opinión sobre el colegio? 2 Allow the candidate to ...

Answered by Ana V. • Spanish tutor

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What are the main features of the genetic code and can you explain them to me?

A sequence of three DNA nucleotide bases makes up a triplet. This triplet codes for one of 20 specific amino acids. The genetic code is universal because it is the same in all living orga...

Answered by Amy D. • Biology tutor

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How do I maintain an argument when completing a response to an A level paper?

This method is known as the tennis match, and also serves as good revision method. It includes prior drafting of an essay, of which there is definitely time within A level exams for. Take a piece of paper...

Answered by Melissa J. • History tutor

2071 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 ...

Answered by Thomas S. • Maths tutor

3394 Views