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In a group of 120 people, 85 have black hair, 78 have brown eyes and 20 have neither black hair nor brown eyes. Find the probability of a random person being picked having black hair, given they have brown eyes

We are told that the person already has brown eyes, and this includes 78 people.We are asked to find the probability of them also having black hair.This means the person has to have brown eyes and black h...

Answered by Daniel C. • Maths tutor

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Solve the following simultaneous equations: x^2 + 2y = 9, y = x + 3

When solving simultaneous equations, there are two methods: substitution and elimination. For this question, as one of the equations is a quadratic, the substitution method has to be used. The second equa...

Answered by Chloe L. • Maths tutor

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Factorise 6x^2 - 12x

common factor is 6x therefore it is 6x(x-2)

Answered by Huy H. • Maths tutor

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Simplify 125^-2/3

125^-2/3= 1/125^2/3=1/(cube root(125))^2=1/5^2=1/25

Answered by Amy W. • Maths tutor

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A prism with a triangular cross section has volume 120cm^3. The base of the triangular face has length 6cm. The width of the prism is 10cm. The height of the triangular face is h. Find h.

Cross sectional area: half base x height = (6/2)h = 3h , Volume of prism: Cross sectional area x width, this gives: 3h10 = 120, rearrange: 3h = 12, Find h: h = 4cm.

Answered by Jake V. • Maths tutor

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