Higher Plus

A bag holds 4 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

On a histogram the bar for 0 < x ≤ 20 has a frequency density of 3.5. How many values are in that class?On a histogram the bar for 0 < x <= 20 has a frequency density of 3.5. How many values are in that class?

A block has mass 660 g (to the nearest 10 g) and volume 9 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 660 g (to the nearest 10 g) and volume 9 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.

y is directly proportional to x³. When x = 3, y = 162. Work out y when x = 5.y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 5.