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Tom tosses a coin. Every toss lands on either heads or tails. The coin lands on heads two thirds of the first 24 games. The coin then lands on heads the next 6 games. For all 30 tosses, work out the ratio heads:tails. Give the answer in the simplest form.

For the first 24 games, heads = 24 x (2/3) = 16. For the next 6 games, heads = 6. Total number of heads = 22. 30 - 22 = 8 therefore tales = 8. Therefore, ratio = 22:8 = 11:4, heads:tales.
SP
Answered by Sam P. • Maths tutor
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What is the photoelectric effect? (A-Level Physics)

The photoelectric effect states that electrons are emitted when electromagnetic radiation is shone upon a material. It also provides evidence for the particle-nature of light, since each photon interacts wit...
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Answered by Daniel D. • Maths tutor
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Solve the inequality x^2 – 9x – 22 ≥ 0

We are looking for what values of x make this statement true. To start we need to factorise the quadratic.We can do this in two ways, the quadratic formula, or just seeing what numbers work.We'll start with ...
AO
Answered by Adam O. • Maths tutor
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Solve the simultaneous equations: 2x + y = 18 and x - y = 6

Note the following rules for simultaneous equations: 'Same sign subtract' and 'alternate sign add'. The first thing we need to do is find either y or x. To do so here, you add the equations together because ...
MS
Answered by Megan S. • Maths tutor
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x = 0.436363636... . Prove algebraically that x can be written as 24/55.

Let x = 0.436363636... 10x = 4.36363636....1000x = 436.36363636...990x = 432x = 432/990 = 24/55
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Answered by Hoonsoo J. • Maths tutor
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