Let S = {3, 7, 15} be a sample space associated with an experiment. (a) List all events of this experiment.
{3}, {7}, {15}, {3, 7}, {3, 15}, {7, 15}, {3, 7, 15}
∅, {3}, {7}, {15}, {3, 7}, {3, 15}, {7, 15}, {3, 7, 15}
{3}, {7}, {15}, {3, 7}, {3, 15}, {7, 15}
∅, {3, 7}, {3, 15}, {7, 15}, {3, 7, 15}
∅, {3}, {7}, {15}, {3, 7}, {3, 15}, {7, 15}
{3, 7}, {3, 15}, {7, 15}, {3, 7, 15}

(b) How many subsets of S contain the number 15?
subsets

(c) How many subsets of S contain either the number 7 or the number 15?
subsets

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step-by-step explanation:

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

b. 18

step-by-step explanation:

so the equation for this is:

ab^2=ac⋅ad

ab being the top length of 6 and ac being the length of 2 and ad being the length of x. let's plug into the equation:

6^2 = 2x

now lets just solve for x:

36 = 2x

18 = x

i hope that !