exam Maths Puzzle Numerical Ability

Roll a Die: Roll a die 50 times and record the results. Determine the empirical probability of rolling:

(a) a 1
(b) a 6
(c) does the probability of rolling a 1 appear to be the same as the probability of rolling a 6? Explain.

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Factor completely. b^2-ab-6a^2

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For the following set of data, test the hypothesis that the average is 10. Run a test of that hypothesis and present the conclusion.
x
8.9
9.7
10.3
8.5
10.4
9.3
9.8
7.1
10.6
11.1