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There are 700 students in a high school. 10% of them play team sports. 36 students play football, and 22 students play both football and basketball. When choosing one student from the school, what is the probability of them playing basketball only?

We know that 10% play team sports, that means 700*0.1=70 students play team sports. Out of those 70, 36 students play football, 22 play both sports, that means 36-22=14 play football only. Let's draw a diagr...
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Answered by Dorottya T. • Maths tutor
3431 Views

Find a solution for the following simultaneous equations: 2x+y=5 and 2x-5y=2

Subtract the 2nd equation from the first: 2x--2x+y+6y=5-2 <=> 7y=3 <=> y=3/7Input the value of y into one of the equations: 2x+3/7=5 <=> 2x=(35-3)/7 <=> x=16/7
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Answered by Darshil C. • Maths tutor
3912 Views

How would you differentiate a function such as 4x^3

The general rule for differentiating functions such as 4x^3 is called the power rule.This formula goes by dy/dx of [x^n] = nx^(n-1)Now this may seem complicated but with examples hopefully it should become m...
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Answered by Adam W. • Maths tutor
4232 Views

How do you factorise?

Factorising basically means put whatever equation you are given into brackets. So, E.g. x 2 + xFirst you want to look for a common factor which here is X. Therefore, the answer would be x(x+1).To check this ...
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Answered by Lydia D. • Maths tutor
3602 Views

Johnny take 4 hours 50 minutes to drive 213 miles to Manchester. He then takes the train to Liverpool. Liverpool is 37 miles from Manchester and the train travels at 90mph. Calculate Johnny's average speed for his total journey in mph.

Total journey average speed = (total distance travelled ÷ total time taken).Total distance travelled = 213 miles + 37 miles = 250 milesTotal time taken (hours) = 4 + (50 ÷ 60) + time from Manchester to Liver...
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Answered by Steven W. • Maths tutor
3668 Views