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a) 27 is higher than the mean. So we can simply calculate the z value. z = (27 - 20)/6 ≈ 1.17. Using the table in the formula booklet, we find that P(Z < 1.17) = 0.8790, so P(X ...

Take away 3 from both sides to give you : 5x = 15Divide by 5 on both sides to give you : x = 3

To solve this, you need to find two factors of -15 that total to give -2. The solution we're looking for is of the for (x + something) (x + something)=0, as you can then solve each bracket to get two resu...

From our base right angled triangle (base and height of 1) and remembering SOH CAH TOA ( tangent = opposite/adjacent), we can deduce tan(45) = 1 / 1 = 1

Find the highest common factor of each component. H.c.f. of 4 and 10 is 2, so:4x² + 10x = 2(2x² + 5x)H.c.f of x² and x is simply x, so:2( 2x² + 5x) = 2x(2x + 5...