Higher Plus

A bag holds 8 red and n blue counters. The probability of taking a red is 8/11. Work out n.

A histogram has four 20-wide classes from 0, with frequency densities 2, 3, 1, 0.5. Which class contains the median?

A block has mass 740 g (to the nearest 10 g) and volume 16 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 740 g (to the nearest 10 g) and volume 16 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

f(x) = 8x - 12. Work out the inverse function f^-1(x).f(x) = 8x - 12. Work out the inverse function f^-1(x).

y is inversely proportional to x². When x = 3, y = 25. Work out y when x = 5.y is inversely proportional to x^2. When x = 3, y = 25. Work out y when x = 5.