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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} + ...

Romani Hannibalem timebant. Hannibal vir clarus Africanus erat. quod Romanos non amabat, magnas copias contra Romam ducere et oppidum delere constituit. dux bonus et validus erat. Africani igitur eum magn...

The Norman Invasion was so successful due, most importantly, to the preceding invasion at York, of Harald Hardrada and Tostig Godwinson. This forced Harold Godwinson to march his army north and leave his ...