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The probability that John picks out a red ball is: The number of red balls divided by the total number of balls = 4/10
Because the balls are replaced, each event is independent so every time John pic...

Use the method of substitution to answer this question.
Step 1: Rearrange one of the equations to find x or y.
y-x=3 y=x+3
Step 2: Substitute your y into the first equation
x^2<...

When we are presented with a quadratic equation in this form, and asked to expand, it is important to make sure that every term is used. For example, we would begin with the 'x' from the (x+1) bracket, an...

To approach a problem like this, we must first break down our number into a multiplication of prime factors (i.e. we can make our number by multiplying numbers 2,3,5,7 etc together). This is best done wit...

Quadratic equations are always given in the form ax² +bx +c. One way of solving (finding values of x) and therefore factorising is to use the ...