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There are 10 boys and 20 girls in a class. The class has a test. The mean mark for all the class is 60. The mean mark for the girls is 54. Work out the mean mark for the boys.

Mean = Sum of all the numbers/How many numbers there are60=sum of all numbers/30 therefore 1800= sum of all the test scores of class54= sum of all the girls' scores/20 therefore 1080 = sum of all the girl...

Answered by Chimdi O. Maths tutor
6632 Views

There are 10 beads in a bag. Four beads are green, six are black. If three beads are taken at random without replacement, what is the probability that they are the same colour?

There are two possible outcomes in which all beads are the same colour: they may be all green, or all black. We need to work out the probability of each outcome to start with. This is done by multiplying ...

Answered by Tom W. Maths tutor
4020 Views

The curve C has equation y=(2x-3)^5, the point P lies on C and has coordinates (w, – 32), find (a) the value of w and (b) the equation of the tangent to C at the point P in the form y=mx+c , where m and c are constants.

(a) The curve is defined by y=(2x-3)^5. To find x=w when y=-32, we must substitute these values into the equation C and re-arrange to find w. -32=(2w-3)^5. First we must remove the power of 5 by doing pow...

Answered by Jordan P. Maths tutor
10829 Views

The equation of the line L1 is y = 3x – 2. The equation of the line L2 is 3y – 9x + 5 = 0. Show that these two lines are parallel.

The equation of a straight line is usually given in the form y = mx + c. To prove that two lines are parallel we will need to show that both lines have the same gradient. The gradient of a line is the slo...

Answered by Tanya K. Maths tutor
3636 Views

Find the volume of revolution when the curve defined by y=xe^(2x) is rotated 2*pi radians about the x-axis between x=0 and x=1

This is a standard question that may be found in a C4 mathematics paper. Students should use knowledge of the volume of revolution formula V = piint_{a}^{b} y2dx to find the expression V =...

Answered by Hanish S. Maths tutor
2908 Views

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