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A geometric progression has first term 3 and second term -6. State the value of the common ratio.

3/-6 = -2
EH
Answered by Elizabeth H. Maths tutor
6529 Views

The probability distribution of the random variable X is given by the formula P(X = x) = 0.09+0.01x^2 for x= 1,2,3,4,5 ). Find E(X).

The expected value of a discrete variable is defined as: E(X) = ∑x*P(X=x) (for all possible values of x, in this case x = {1,2,3,4,5} ) (next, we will expand the summation and substitute in the values given,...
RH
Answered by Robin H. Maths tutor
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How do I find the highest common factor of two numbers?

The factors of a number are all the numbers that divide into it, so the HCF of two numbers is the highest number that is a factor of both numbers. I'd work it out by create a list of all of the prime factors...
OB
Answered by Olivia B. Maths tutor
7852 Views

Factorise and solve x^2-9x-10=0

x 2 -9x-10=0 Find two numbers that add to equal -9 and mulitiply to equal -10 These numbers are -10 and 1 so this equation factorises to equal (x-10)(x+1)=0 Now find the values of x that would make the left ...
LL
Answered by Laura L. Maths tutor
10789 Views

A straight line passes through the points (-2, 4) and (1, 10). What is (a) the gradient of the line, (b) the y-intercept of the line and (c) the equation of the line?

(a) Gradient (m) = (y 2 -y 1 )/(x 2 -x 1 ) = (10-4)/(1-(-2)) = 6/3 = 2 (b) General equation of a straight line: y = mx + c (c = y-intercept) For our straight line: y = 2x + c Test points: 4 = 2(-2) + c ---&g...
SB
Answered by Samuel B. Maths tutor
14632 Views