Daily Practice - Higher Plus

A bag holds 7 red, 3 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

A histogram has four 10-wide classes from 0, with frequency densities 2, 3, 1, 0.5. Which class contains the median?

A block has mass 620 g (to the nearest 10 g) and volume 17 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 620 g (to the nearest 10 g) and volume 17 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

f(x) = 6x - 6 and g(x) = 2x - 1. Work out fg(0).

y is inversely proportional to x². When x = 3, y = 50. Work out y when x = 5.y is inversely proportional to x^2. When x = 3, y = 50. Work out y when x = 5.