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Two dice are thrown at the same time. What is the probability that the sum of the numbers on the dice is greater than 7?

The answer would be 5/12. This is because a sum greater than 7 appears 15 times out of a given sample space of 36. Hence the probability would be 15/36 = 5/12
SS
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What is Pythagorus' Theorem?

Pythagorus' Theorum enables us to calculate the length of any side of a right angled triangle provided we know the other two lengths. This is done by substituting in the appropriate values into the equation ...
SD
Answered by Sam D. Maths tutor
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How is the quadratic formula used?

When you are told to solve a quadratic equation and when factorising is not possible, quadratic formula can be used to find out the solution. First you will need to get the coefficients from the quadratic eq...
DA
Answered by Darem A. Maths tutor
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How do I factorise x^2 ​- 4?

This is similar to other factorisation problems such as x 2 + 5x - 6. In this problem, you would find prime factors of -6 that add up to 5 (In this case -3, -2). Now, do the exact same with this problem! Thi...
LG
Answered by Lauren G. Maths tutor
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Showing all your working, evaluate ∫ (21x^6 - e^2x- (1/x) +6)dx

When integrating a long chain of functions, we can integrate each term seperately and combine them. Let us now integrate:∫21x 6 dx = 21∫x 6 dx. Using the Power Rule [∫x a dx = (x a+1 /a+1)], we can say that ...
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Answered by Raghav A. Maths tutor
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