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Assuming that every teacher at the school is either male or female, we can work out that the probability that the teacher chosen at random is male is 2/5, because 1 - 3/5 = 2/5, and therefore we know that...

Begin by rearranging equation 2 so that it is in the form y = ...
Substitute this into equation 1
Expand the brackets and simplify the equation so that it is in the form Ax^2 + Bx + C = 0
F...

Pi radians is equal to 180 degrees . Radians are a unit of measurement for angles, just like degrees are, and pi is just the number of radians that makes up that angle. 180 divided by 3 is 60 so we get c...

If the projectile is released at an angle, it will have 2 components: 1. horizontal component of motion and 2. vertical component Horizontally, the projectile is assumed to travel at a constant speed (ie ...

Suppose f(x)=x²+4 and g(x)=3xg(f(x)) would therefore be 3(x²+4) and that equals 3x²+12the next step would then be to substitute x with 1 to find the solution for (g(f(1))....