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There are 7 white socks and 4 black socks in a drawer. Two socks are taken out at random without replacement. Work out the probability that the two socks are the same colour

The probability of pulling out two socks of the same colour is n/m*(n-1)/(m-1) where n is the initial number of that type of sock and m is the total number of socks in the drawer. The reason that we take 1 a...
JB
Answered by James B. • Maths tutor
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A circle has a radius of 4cm. An isosceles triangle has a base of 8 cm and a height of 12 cm. Which shape has the greatest area?

When reading a question try to pick out the important information, and don't get thrown off with unnecessary words like isosceles. A circle has a radius of 4cm . An isosceles triangle has a base of 8 cm and ...
EA
Answered by Emma A. • Maths tutor
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Expand and Simplify 3x(8y-2) - 4y(6x -3) + 2x = 0

1) We will expand the function by multiplying each bracket by its coefficients. Lets divide the equation in two parts to make it a bit simpler: 3x(8y-2) = 3x 8y + 3x (-2) = 24xy - 6x -4y(6x - 3) + 2x = -4y 6...
TU
Answered by Teresa U. • Maths tutor
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Solve x^​2​ - 10x + 21 = 0 through the following methods: Factorisation, Completing the Square and using the Quadratic Formula

There are three ways of solving quadratic equations: Factorisation, Completing the Square and using the Quadratic Equation. All these methods are correct and it is up to you to choose which one you prefer to...
TU
Answered by Teresa U. • Maths tutor
29753 Views

What is the range of solutions for the inequality 2(3x+1) > 3-4x?

When it comes to answering questions about inequalities, it is important to remember the signs and what they represent. In this instance, we need to find a range of solutions where 2(3x+1) is greater than 3-...
LB
Answered by Lara B. • Maths tutor
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