Daily Practice - Higher Plus

A bag holds 4 red, 6 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

On a histogram the bar for 30 < x ≤ 40 has a frequency density of 1.5. How many values are in that class?On a histogram the bar for 30 < x <= 40 has a frequency density of 1.5. How many values are in that class?

Rationalise the denominator of 99/√11, giving your answer in its simplest form.Rationalise the denominator of 99/sqrt(11), giving your answer in its simplest form.

f(x) = 6x + 1. Work out the inverse function f^-1(x).f(x) = 6x + 1. Work out the inverse function f^-1(x).

y is directly proportional to x³. When x = 2, y = 24. Work out y when x = 4.y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.