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Maths
GCSE

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
7821 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

...

TJ
Answered by Tom J. Maths tutor
14798 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
6801 Views

Solve the equation 3x squared + 4x – 12 = 0 Give your solutions correct to 2 decimal places.

3x+4x-12=0

Step 1: formula (-b+/- square root (b2-4ac))/2a

Step 2: a=3 b=4 c=-12

Step 3: type into your calculator 

Step ...

JY
Answered by Jin Yang Q. Maths tutor
15461 Views

How do you expand brackets?

The easiest method to expand brackets would be to remember FOIL!
F - First
O - Outside
I - Inside
L - Last

Okay, so lets say you want to expand (3x+1)(2x+3), we'll...

CG
Answered by Connor G. Maths tutor
4866 Views

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