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There are 14 boys in a class and 16 girls. The Mean height of the class is 1.6m, the mean of the girls is 1.5m what is the mean height of the boys?

Mean for all students: (the sum of all the heights)/total number of students = (the sum of boys+sum of girls)/30 = 1.6sum of boys and girls = 1.6 x 30Mean for girls: (the sum of all the girls' heights)/to...

Answered by Caitlin J. • Maths tutor

4278 Views

(a) Express x +4x+7 in the form (x+ p) +q , where p and q are integers.

(x + 2)²+3

Answered by Dylan S. • Maths tutor

4156 Views

For sketching the graph of the modulus of f(x) (in graph transformations), why do we reflect in the x-axis anything that is below it?

Let's remember what applying a modulus to any number actually does. Applying the modulus to a number just gives us back the positive version of that number- if it is positive, we get back itself, and if i...

Answered by Stefanos R. • Maths tutor

5004 Views

Solve the two simulatneous equations x^2+y^2=18 and x-y=3

1) X2 +2Y2= 18 2) X - Y = 3 Rearrange 2) in the form X=3-Y then substitute in to 1); (3-y)2 +2Y2=18, this is your new equation 3 9+3Y+3Y+Y2+2Y2=18 3) 9+6y+3Y2= 18 Divide equation 3) by 3 3 ...

Answered by Rebecca C. • Maths tutor

5261 Views

Using methods of substitution solve the following simultaneous equations: y - 2x - 1 = 0 and 4x^2 + y^2 - 25 = 0

(1) 4x²+ y² - 25 = 0 (2) y - 2x - 1 = 0
Rearranging (2) into an equation of y in terms of x we have:y = 2x +1
now substituting into equation (1) 4x²+ (2x +1)...

Answered by Kerry M. • Maths tutor

3353 Views