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?

On a histogram the bar for 0 < x ≤ 10 has a frequency density of 0.4. How many values are in that class?On a histogram the bar for 0 < x <= 10 has a frequency density of 0.4. How many values are in that class?

A block has mass 650 g (to the nearest 10 g) and volume 20 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 650 g (to the nearest 10 g) and volume 20 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

f(x) = 3x - 8 and g(x) = 3x - 6. Work out fg(-3).

y is directly proportional to x³. When x = 2, y = 48. Work out y when x = 3.y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 3.