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there are 11 sweets in a box four are soft centred and seven hard centred sweets two sweets are selected at random a)calculate the probability that both sweets are hard centred, b) one sweet is soft centred and one sweet is hard centred

a) First sweet you pick will be soft centred in 7 out of 11 cases, so the probability is 7/11when you are picking up a second sweet there are only 6 hard centred left and a total of 10, so the probability...

Answered by Artem T. • Maths tutor

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give the values of x when 2x^2+5x-3=0

First we need to find two numbers that multiply to make ac and add to make b which are -6 and 5 in this case.The two numbers that do this are 6 and -1. Now we separate the 5x into 6x and -x. Putting this ...

Answered by Sachin V. • Maths tutor

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In a tennis club, there are twice as many male members as female members. 1/3 of the males wear hats when they play. 1/4 of the females wear hats when they play. 66 members wear hats. How many members does the club have?

Let m be the number of males. Let f be the number of females.
(1/3)m + (1/4)f = 66 (1)
m = 2f (2)
(1/3) * 2f + (1/...

Answered by Neil S. • Maths tutor

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Solve the simultaneous equations: 2x + y = 18, x - y = 6

Label each equation:2x + y = 18 (1)x - y = 6 (2)Since the y's have the same coefficient (ignoring the signs) you want to cancel the y's to leave just an equation with x.add (1) to (2):3x = 24Then rearrang...

Answered by Megan H. • Maths tutor

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There are 13 counters in a bag. 4 counters are red, the rest are blue. Alice takes 2 counters without replacing them. What is the probability that both counters are the same colour?

To begin question, we must establish how blue counters there are at the start. This is a simple subtraction calculation.13-4=9There are 4 red counters and 9 blue counters, which totals to 13 counters. Nex...

Answered by Austin E. • Maths tutor

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