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One of the teachers at a school is chosen at random. The probability that this teacher is female is 3/5. There are 36 male teachers at the school. Work out the total number of teachers at the school.

This is a 3 marks exam question from the 2016 summer exam with the Edexcel board. The topic tested here is probability. We are given that the probability of having a female teacher is 3 out of 5. This means ...
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Answered by Eitel M. • Maths tutor
11571 Views

The first term of an arithmetic series is a and the common difference is d. The 12th term is 66.5 and the 19th term is 98. Write down two equations in a and d then solve these simultaneous equations to find a and d.

The first step is to recall the formula for arithmetic progressions: u(n) = a + (n-1) d We can then put all the information given in the question into this so u(12) = 66.5 = a + 11d and u(19) = 98 = a + 18d ...
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Answered by Eleanor W. • Maths tutor
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A curve has equation (x+y)^2=x*y^2, find the gradient of the curve at a point where x=1

Differentiating left hand side: 2(x+y)(1+dy/dx) from the chain rule 2. Differentiating right hand side: y 2 +2xy(dy/dx) from the product rule 3. Equating sides and taking out factors of dy/dx to rearrange fo...
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Answered by Peter K. • Maths tutor
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Can you solve 18-7x < 12-3x ?

In order to solve this formula, you would need to collect similar terms to the same side and then simplify to work out the value of 'x'. We can do this by collecting all the 'x' terms to one side first, trea...
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Answered by Blessing F. • Maths tutor
4244 Views

Find the equation of a straight line that passes through the coordinates (12,-10) and (5,4). Leaving your answer in the form y = mx + c

Finding the gradient (m): The gradient is the change in y-axis over the change in x-axis Δy = -10-4= -14 Δx = 12-5=7 Δy/Δx = -14/7 = -2 Accumilating the equation: The equation of a straight line can be deduc...
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Answered by Martin M. • Maths tutor
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