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You're on a game show and have a choice of three boxes, in one box is £10, 000 in the other two are nothing. You pick one box, the host then opens one of the other boxes showing it's empty, should you stick or switch?

At the moment of your first choice you have a 1/3 chance of picking the box with the prize and a 2/3 chance of getting nothing. After your choice those probabilities remain locked in and do not change as whe...
JB
Answered by Jonathan B. • Maths tutor
9121 Views

You are sitting in a boat on a lake, you have with you in the boat a large rock. You throw the rock out of the boat and it sinks to the bottom of the lake, does the water level of the lake go up, down or stay the same?

Whilst in the boat the rock (and you) are floating, this means that the amount of water displaced by the rock is the mass of the rock. When the rock sinks to the bottom of the lake the amount of water displa...
JB
Answered by Jonathan B. • Physics tutor
10654 Views

Qu'est ce qu'on peut faire chez nous pour protéger la planète?

Aujourd'hui il est maintenant absolument primordial qu'on essaie de protéger la planète plus que jamais. A mon avis, la question de l'environnement m'inquiète énormément et il me semble que la réponse doit c...
CG
Answered by Christian G. • French tutor
3167 Views

Solve the simultaneous equations: 5x+5y = 6 7x+3y = 6

Label the equations 1) 5x+5y = 6 and 2) 7x+3y = 6 . Then rearrange equation 1 to make x the subject of the equation: 5x = 6-5y. You would then simplify this equation to find the equation for x: x = 6/5 - y. ...
IB
Answered by Isobel B. • Maths tutor
4113 Views

If a semi-circle has radius 4cm, work out the area of the semi-circle

The formula for the area of a circle is pi r 2 ,therefore for semi- circle, the formula becomes1/2 pi r 2 Using our known values this is 1/2 pi*16 (4 2 )Using a calculator this gives the value25.13 (2 d.p)
BS
Answered by Ben S. • Maths tutor
5707 Views