A dataset of 10 numbers has mean 15 and variance 4. If each number is multiplied by 3 and then increased by 2, what are the new mean and variance?

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Given matrix $A = (2413)$ , compute the determinant of $A^{- 1}$ .
If $f (x) = 2 x + 3$ and $g (x) = x^{2} - 1$ , what is the value of $(g \circ f) (2)$ ?
Given the invertible function $f (x) = (3 x + 1) / (2 x - 5)$ for $x \neq = 5/2$ , determine $f^{- 1} (2)$ .
How many distinct 4-letter arrangements can be formed from the letters of the word 'SIMAK'?
A committee of 4 students is to be chosen from a group of 5 boys and 4 girls. What is the probability that the committee contains exactly 2…
Find the domain of definition of the real function $h (x) = (x - 2) / (5 - x)$ .