Higher Plus

A histogram has two bars: one 10 units wide with frequency density 1.2, one 10 units wide with density 3.5. How many values in total?

A block has mass 420 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 420 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.

Solve 12x² - 23x + 10 = 0.Solve 12x^2 - 23x + 10 = 0.

y is directly proportional to x². When x = 2, y = 8. Work out the positive value of x when y = 50.y is directly proportional to x^2. When x = 2, y = 8. Work out the positive value of x when y = 50.

The point (10, 24) lies on the circle x² + y² = 676. Work out the gradient of the tangent to the circle at that point.The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.