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10 girls and 15 boys sit a test. The mean mark for the boys is 70. The mean mark for girls is 82. Work out the mean mark for the whole class.

boys' total = 70 x 15 = 1050 girls' total = 82 x 10 = 820 Total = 1870 mean = 1870/ 25 = 74.3

SC
Answered by Sharon C. Maths tutor
10063 Views

The graph of y = x^2 – 1 is translated 3 units to the left to give graph A.The equation of graphA can be written in the form y=x^2 +bx+c Work out the values of b and c.

identify what the question is asking -> both translation rules and expansion of bracketstranslation rule --> translation of 3units left on x-axis actually gives a the graph of y=(x+3)^2 -1. This is ...

GP
Answered by Georgia P. Maths tutor
7745 Views

Solve simultaneously: 3x+2y=7 & x-2y=-3

Add the 2 eqns together to eliminate the y's to give: 4x=4. Divide by 4 to give x=1Now substitute x=1 into the first eqn: 3+2y=7. Subtract 3 from both sides -> 2y=4. Divide by 2 to give y=2.Now, check ...

KL
Answered by Katie L. Maths tutor
4823 Views

Find the coordinates of the turning point of the graph y=x^2 -x -12. Use it to sketch the graph on a set of x-y axis.

-Firstly we should check if the equation has the variables separated (x on one side and y on the other side of the equal sign), which they apear to are, therefore we can proceed to the next step. As it is...

IP
Answered by Ioanna P. Maths tutor
6355 Views

Explain the effect of a subsidy on equilibrium price and quantity in a demand and supply model.

If the government offer a subsidy to firms, this will reduce their per unit cost of production. This will shift supply downwards, as for a given market price, the firm is willing to produce more. This wil...

AR
Answered by Anna R. Economics tutor
19141 Views

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