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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 oran...
JS
Answered by Jonny S. • Maths tutor
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Factorise and solve x2 - 8x + 15 = 0.

Factorise and solve x 2 - 8x + 15 = 0. When factorising there are 3 things to look for; A common factor in each component of the equation. In this case there are no common factors. Whether the equation is ma...
OR
Answered by Olivia R. • Maths tutor
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I want to pave my patio, which has dimensions of 6m by 8m. I'm going to pave it with stones that have dimensions of 50cm by 50cm. Each tile costs £1.50. How much will paving my patio cost me?

My patio has an area of 6 8 m , so 48m 2 . Each tile has an area of 0.5 0.5 m, so 0.25m 2 . To find the number of tiles we need, we divide the area of the patio by the area of one tile: 48/0.25 = 192 tiles E...
DL
Answered by Danny L. • Maths tutor
3308 Views

Integrate ((5x^3) + ((2x)^-1) + (e^2x))dx.

int(5x 3 + (2x) -1 + e 2x )dx =int(5x 3 )dx + int((2x) -1 )dx + int(e 2x )dx int(5x 3 )dx = (5/4)x 4 + c where c is the constant of integration int(2x -1 )dx = (1/2)ln(2x) + d where d is another constant of ...
DL
Answered by Danny L. • Maths tutor
5137 Views

Fully simplify (8a^2b * ab^4)/(2a^3b^2)

8a 3 b ab 4 2a 3 b 2 (can write this more clearly by hand using whiteboard) First go about seperating and collecting terms. Begin with the top line. 8 remains the same as there are no other known numbers. We...
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Answered by Archie I. • Maths tutor
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