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An ordinary, fair sided dice is rolled 480 times. How many times is the number 3 expected?

An ordinary dice has six sides. We have an equal chance to roll on any of these six sides. This gives us the probability of rolling a 3 (or any other number) as 1/6.Each roll is independent i.e the result of...
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Answered by Louis P. • Maths tutor
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How do I solve a quadratic equation: x^2-5x+6=0

When solving a quadratic equation, you have two options. Take the general form ax^2+bx+c=0Method 1: Solution by FactorisingWhen the numbers involved look fairly simple, look for a way to factorise the quadra...
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Answered by Naomi C. • Maths tutor
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Expand and Simplify: (x+2)(x+3)(x−3)

(x+2)(x+3)(x−3)(x 2 + 3x + 2x + 6)(x - 3) : Step 1 is to expand the first two brackets. (x 2 + 5x + 6)(x - 3) : Step two is to simplify the quadratic. x 3 -3x 2 +5x 2 -15x+6x-18 : Then expand the quadratic w...
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Answered by Alex H. • Maths tutor
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How do I calculate rate coefficient units?

For any rate equation, the units have to be equal on either side of the equation. The rate of reaction always has the units mol dm -3 s -1 , and the concentration species in the equation typically have units...
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Answered by Frances R. • Chemistry tutor
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How do I start my essay?

Your introduction should always be a few sentences long, and should address the question directly. A good example of a question is 'How does Shakespeare present the theme of ambition in Macbeth?' For this qu...
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