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There are n sweets in a bag, 6 of which are orange, the rest are yellow. Hannah takes a random sweet from the bag and eats it, and then does so again. The probability that Hannah eats two orange sweets is 1/3. Show that n^2-n-90=0.

The probability that the first sweet Hannah eats is orange is 6/n, as there are n sweets and 6 of them are orange. If this is indeed orange, then there are now n-1 sweets left in the bag, of which 5 are o...

JS
Answered by Jonny S. Maths tutor
3851 Views

What is Osmosis?

The one definition of osmosis is 'The movement of water from a high concentration to a low concentration, down it's concentration gradient, across a partially permible membrane, until osmotic pressue is e...

AV
Answered by Alexandra V. Biology tutor
13941 Views

Factorise and solve x2 - 8x + 15 = 0.

Factorise and solve x2 - 8x + 15 = 0.

When factorising there are 3 things to look for;

  1. A common factor in each component of the equation. In this case there are no commo...

OR
Answered by Olivia R. Maths tutor
22414 Views

Using standard formulae, derive an expression for the final speed of a falling object in terms of its change in height. Assume zero air resistance or other resistive forces.

Ek = (1/2)mv2

Ep = mg(dh)

Set these equal to each other, because of conservation of energy:

(1/2)mv2 = mg(dh)

Cancel the mass:

<...
DL
Answered by Danny L. Physics tutor
2377 Views

Why do metals conduct electricity?

To answer this question we need to think about the bonding that occurs within metals. Metallic elements form strong lattices due to the metallic bonding. This consists of a lattice of positive metal atoms...

AM
Answered by Alex M. Chemistry tutor
18046 Views

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