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To complete the square, we need to rearrange the quadratic equation in the form of ax² + bx + c into the form r(x + p)² + q, where our task is to find the values of the unkowns of r,...

Long-term memory is one of the two storage types of memory. Long-term memories are memories that we are able to keep over a timescale of a couple of minutes to a whole lifetime. There are two types of lon...

We can divide by (cosx)^2 across the identity (sinx)^2 + (cosx)^2 = 1 (which can be derived from properties of the unit circle and a bit of Pythagoras’ theorem) to achieve

[(sinx)^2 / (cosx)^2] + [...

The mean is also known as the average. To work out the mean you need to add all the house prices together and then divide by the number of houses. So in this example the total price of the houses is 14500...

P(J>2) = P(J=0)+P(J=1)     [split it up]

P(X=t)= (V^t)/t!*e^V       where V=4 in this case  [use the formula]

P(J>2) = 4^0/0!*e^4 + 4^1/1!*e^4

          =1/e^4 + 4/e^4  =  5e^-4...