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A bag has 3 red balls and 5 green balls. I take out 2 balls, without replacing them. What is the probability of choosing at least one red ball? Give your answer to 3 decimal places.

Student would likely draw a tree diagram to represent the different outcomes. They should recognise that you must add the probability of choosing only one red ball, and two red balls. The outcomes are:Gre...

Answered by Joe G. Maths tutor
8964 Views

Solve the following algebraic equation: x^2 + 6x + 9 = 0

I would explain on the whiteboard how to factorise itleading them to having two brackets, (x + 3) and (x+3). Could also be written as (x+3)^2then teach them on whiteboard how to solve the equation(x+3)^2 ...

Answered by Isabella J. Maths tutor
1262 Views

There are two points 'A' and 'B' on a graph, their coordinates are (0,1) and (10,6) respectively. 1)Find the equation of the line that runs through both of these points.2)Find the equation of a line perpendicular to this through point 'B'.

Draw a graph to see the question more clearly.1) Find the slope using the rise over run formula. ( m = 1/2 )Put this slope into the equation of a line formula along with one of the points. ( ...

Answered by Robert T. Maths tutor
2038 Views

Factorise and solve x^2 -8x=15=0

x=3 or x=5

Answered by Vineet A. Maths tutor
2110 Views

The straight line L1 passes through the points with coordinates (4, 6) and (12, 2) The straight line L2 passes through the origin and has gradient -3. The lines L1 and L2 intersect at point P. Find the coordinates of P.

First, find equations for the 2 lines in the standard cartesian form y=mx+c:L1: To find gradient = dy/dx = change in y/change in x = (y2-y1)/(x2-x1) = (2-6)/(12-4) = -4/8 = -0.5 = m To find intercept use ...

Answered by Hugo F. Maths tutor
3951 Views

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