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There are 5 white socks and 3 black socks in a draw. Steven takes out 2 at random. Work out the probability that Steven takes out 2 socks of the same colour.

P(WW) = 5/8 x 4/7 = 20/56 P(BB) = 3/8 x 2/7 = 6/56 P(same colour) = 20/56 + 6/56 = 26/56 = 13/28 (simplified)
TJ
Answered by Tom J. • Maths tutor
8988 Views

ABC is a right angled triangle. D is the point on AB such that AD = 3DB. AC = 2DB and angle A = 90 degrees. Show that sinC = k/√20 where k is an integer. Find the value of k

AB = 4DB AC = 2DB Find BC using Pythagoras: BC = √(4DB) 2 + (2DB) 2 BC = √20DB 2 = √20 DB sinC = opp/hyp = 4DB/√20DB = 4/√20 so k = 4
TJ
Answered by Tom J. • Maths tutor
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How do I start my answer?

Before you start writing, make sure you know what you’re going to say. Take ten minutes to do a rough plan. Often the best place to start is the wording of the title – it will focus what you say on the quest...
LN
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What is democracy?

The term ‘democracy’ derives from the Greek word, “demokratia”, which can be translated simply as ‘rule by the people’. It is used to describe a system of government that allows people to have an influence o...
GL
8546 Views

Solve 7(k – 3) = 3k – 5

Step 1: 7k-21=3k-5 Step 2: 4k=16 Step 3: k=4
JY
Answered by Jin Yang Q. • Maths tutor
7874 Views