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Pythagoras' Theorem states that h² = a² + b² . This is where you have...

P(2 orange sweets) = P(orange sweet) * P(orange sweet)

(6/n) * (5/(n-1)) = 1/3

30/(n(n-1)) = 1/3

90 = n(n-1)

90 = n²-n

n...

The quadratic formula is a way of solving quadratic equations of the form: ax²+bx+c=0. By plugging in the values a,b and c into it, the solutions for x can be obtained:x = [-b +/- sqrt(b^2<...

Frequency divided by class width

y is proportional to x² so this means y = A*x² for some constant A.

When y = 75, x = 5. Put these values in the formula above to find A:

75 = A*25