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There are 720 boys and 700 girls in a school. The probability that a boy chosen at random studies French is 2/3 The probability that a girl chosen at random studies French is 3/5 . Work out the number of students in the school who study French.

To find out how many students take French, start by finding out how many boys take it, and then how many girls, and the sum of these will be the total number of students taking French.There are 720 boys, ...

IS
Answered by Isabelle S. Maths tutor
7334 Views

Express 9^3x + 1 in the form3^y ?

In these types of question, you need to find out how the integer relates to the new integer - it will be by integrals. We can see that 9 is just 3 x 3 which is 3^2. Thus we now have 3^2(3x +1). As we know...

PM
Answered by Polly M. Maths tutor
3725 Views

The equation of line L1 is y=5x-2. The equation of line L2 is 4y-20x=6. Show that these two lines are parallel.

Let's start by recalling that two lines are parallel when their gradients are equal. We know that the gradient of the line y=mx+c, is m. So the gradient of L1 is 5 as the equation of the line is already i...

OC
Answered by Oliver C. Maths tutor
3516 Views

Find the x-coordinates of the stationary points on the graph with equation f(x)= x^3 + 3x^2 - 24x

This answer has 3 steps:1) find the derivative, f’(x), of the function2) factorise the derivative 3) set equal to zero and solve for x1) f’(x) = 3x^2 + 6x - 242)f’(x) = 3(x^2 + 2x - 8)3) x^2 + 2x - 8 = 0 ...

ZJ
Answered by Zaynab J. Maths tutor
3767 Views

A mass of 3kg rests on a rough plane inclined at 60 degrees to the horizontal. The coefficient of friction is 1/5. Find the force P acting parallel to the plane applied to the mass, in order to just prevent motion down the plane.

Firstly draw a diagram of the problem.Then resolve the forces into their components parallel and perpendicular to the plane.Resolving parallel: P + Fmax = 3gsin(60) equation 1.Resolving perpendicular: R =...

JM
Answered by Jonathan M. Maths tutor
4453 Views

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