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How many people in a room is required such that the probability of any two people sharing a birthday is over 50 percent?

Probability can be highly intuitive yet at times completely nonsensical. Famous mathematicians have fallen victim to the idea that everything in probability can be done without rigorous calculation and th...

Answered by Oliver O. • Maths tutor

3942 Views

Solve the simultaneous equations: 2x + y = 18, x - y = 6

There are two ways to solve simultaneous equations, by substitution or by addition/subtraction. The simplest solution in this case is a method of substitution:
Rearrange the simplest equation to get ...

Answered by Kieran T. • Maths tutor

6326 Views

The diagram shows a prism. The cross-section of the prism is an isosceles triangle. The lengths of the sides of the triangle are 13 cm, 13 cm and 10 cm. The perpendicular height of the triangle is 12 cm. The length of the prism is 8 cm. Work out the total

13 x 8 = 1048 x 10 = 800.5 x 10 x 12 = 60
SA = 104 + 104 + 80 + 60 + 60 SA = 408 cm2

Answered by Rebecca D. • Maths tutor

10716 Views

A curve has the equation y = (1/3)x^3 + 4x^2 + 12x +3. Find the coordinates of each turning point and determine their nature.

The turning point of a curve can be visualised in your head (or on paper/screen using diagram) as the point in which the curve charges direction – and at this point the gradient of the curve is equal to...

Answered by Dan S. • Maths tutor

5277 Views