Daily Practice - Higher Plus

A bag holds 4 red, 3 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

On a histogram the bar for 20 < x ≤ 30 has a frequency density of 1.2. How many values are in that class?On a histogram the bar for 20 < x <= 30 has a frequency density of 1.2. How many values are in that class?

A block has mass 760 g (to the nearest 10 g) and volume 21 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 760 g (to the nearest 10 g) and volume 21 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Use the iteration x(n+1) = cube root of (12x(n) + 3) with x(0) = 1. Work out x(1) to 3 decimal places.

y is directly proportional to x³. When x = 2, y = 40. Work out y when x = 4.y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 4.