What are the domain and range of the function? explain. a. the domain is {x |x ∈ r, x ≠ 3}. the range is { f(x) | f(x) ∈ r, f(x) ≠ 4}. b. the domain is {x | x ∈ r, x ≠ -3}. the range is { f(x) | f(x) ∈ r, f(x) ≠ - 4}. c. the domain is {x | x ∈ r, x ≠ 3}. the range is { f(x) | f(x) ∈ r, f(x) ≠ - 4}.

Twelve less than a number is at most 20

Prove that 16^4-2^13-4^5 is divisible by 11.

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above