Arestaurant needs to plan seating for a party of 150 people. large tables seat 10 people and small tables
seat 6. let x represent the number of large tables and y represent the number of small tables. the
expression 10a +6b, which represents the total number of people you can seat using a large tables and
b small tables, is called a linear combination. for instance, 150 people could be seated using 9 large
tables and 10 small tables. use that expression to enter an equation in standard form that models all the
different combinations of tables the restaurant could use. then identify at least one possible combination
of tables other than (9, 10).

the equation is . another possible combination is

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