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This question is most simply solved with a probability tree diagram, where you just follow the paths of picking two same coloured beads. The first branch would be picking two red beads. P(R1) = 5 / 12, an...

The equation of a circle is given in the form (x-a)² + (y-b)² = r², in which the centre of the circle is (a,b) and the radius of the circle is 'r'. If you can figure out o...

Ok so for this question we'll use this example: y = (e^{-2x^2} + 2)^1/5
We start off by making the expression inside the brackets equal to u. In other words u = e^{-2x^2} + ...

Graphically, the solution of a pair of simultaneous equations is the point of intersection between both curves. If we want only one solution to the system of equations, then there should only be one point...

Find two values that multiply together to make 24, and add together to make 11
List the factors of 24:24,112,26,48,3
Here we can see the only numbers that add together to make 11 are 8 and 3, s...