When Shona goes to college she either catches the bus with probability 0.8 or she cycles with probability 0.2. If she catches the bus, the probability that she is late is 0.4. If she cycles, the probability that she is late is x. The probability that Shona is not late for college on a randomly chosen day is 0.63. Find the value of x.

A plate of cakes holds 12 different cakes. Find the number of ways these cakes can be shared between Alex and James i...

Pack A consists of ten cards numbered 0, 0, 1, 1, 1, 1, 1, 3, 3, 3. Pack B consists of six cards numbered 0, 0, 2, 2,...

The lengths, in centimetres, of middle fingers of women in Raneland have a normal distribution with mean u and standa...

The diagram shows part of the curve defined by the parametric equations x = t² + 4t, y = t³ – 3t². The curve has a mi...

Use the trapezium rule with three intervals to estimate the value of ∫₀^(π/4) √(1 – tan x) dx, giving your answer cor...

Expand ∛(1 – 4x) in ascending powers of x, up to and including the term in x³, simplifying the coefficients.