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Maths
GCSE

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
2570 Views

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 ...

DD
Answered by Daniel D. Maths tutor
4024 Views

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 wi...

AO
Answered by Adam O. Maths tutor
4896 Views

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 becau...

MS
Answered by Megan S. Maths tutor
3105 Views

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

HJ
Answered by Hoonsoo J. Maths tutor
5572 Views

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