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What is Bayes' rule and why is it useful?

Bayes' rule is a really neat equation that's used everywhere, including in Artificial Intelligence! Most things in the real world aren't certain: that's why we use probabilities. Also, we often can't directl...
AS
Answered by Andrew S. • Maths tutor
4067 Views

Find the roots of x^2-9=0

Stage 1: Identify that the equation is a quadratic and that the question is asking you to find out which values 'x' fit this equation. Quadratics can be written algebraically in the form ax 2 +bx+c and have ...
JD
Answered by Jamie D. • Maths tutor
3506 Views

Find the length of the hypotenuse of a right angled triangle which has other two sides of length 5 and 12.

When we have 2 sides of a right angled triangle, we can use Pythagoras' Theorem to find the third missing side. This theorem states that if we label the hypotenuse (the side opposite the right angle) as c , ...
AY
Answered by Andrew Y. • Maths tutor
3675 Views

Find an expression for the nth term of the following sequence: 7, 11, 15, 19

In terms of understanding the question, we are asked to look for a common rule that would help us find any term, or member, of the sequence in the question, no matter how big. The "nth" bit they ta...
LH
Answered by Luke H. • Maths tutor
5878 Views

solve the inequality x^2-4x+4>0

x 2 -4x+4>0 => (x-2)(x-2)>0. We can illustrate this line on a graph showing a quadratic whose vertex is at (2,0). Therefore, the answer to our inequality is x<2,x>2 (but x does not equal 2) fo...
JA
Answered by James A. • Maths tutor
8497 Views