Let a =1 -3 2-2 5 -13 -4 -8and b =b1b2b3determine if the equation ax = b is consistent for all possible b1, b2, b3. if the equation is notconsistent for all possible b1, b2, b3, give a description of the set of all b for which the equation isconsistent (i. e., a condition which must be satisfied by b1, b2, b3). what can you use this systemfor? a) equation is consistent for all b1, b2, b3 satisfying 2b1 + b2 = 0.b) equation is consistent for all b1, b2, b3 satisfying -3b1 + b3 = 0.c) equation is consistent for all possible b1, b2, b3.d) equation is consistent for all b1, b2, b3 satisfying 7b1 + 5b2 + b3 = 0.

Walgreens sells both kleenex and nyquil. in a random sample of 5000 purchases, it was found that 1200 contained kleenex and 540 contained nyquil. these are not independent because sick people are more likely to buy both and healthy people more likely to buy neither. in looking into that, it was found that 360 purchases contained both. a. make a two-way table to display this information. fill in the table with the missing entries, and be sure your table has row and column totals. b. if we randomly select a purchase that contained kleenex, what is the probability it also contained nyquil? c. what percent of all purchases didn’t contain either product?