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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 di...

Answered by Dorottya T. • Maths tutor

2796 Views

Explain the role of auxins in the control of phototropism

A phototropism is the growth of a plant in response to light. This is mediated by auxins such as IAA (Indoleacetic acid). This is released in the tips and shoots of flowering plants. In response to light ...

Answered by Florence T. • Biology tutor

5367 Views

Calculate the binomial expansion of (2x+6)^5 up to x^3 where x is decreasing.

In order to use the binomial expansion, we must have an 'x' with no coefficients - so no number before it.
So we take out a factor of 2:(2(x+3))^5
We can then simplify to:32(x+3)^5
by expa...

Answered by Sophie C. • Maths tutor

3691 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

Answered by Darshil C. • Maths tutor

3311 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 becom...

Answered by Adam W. • Maths tutor

3163 Views