Exercise 1 below is a proof showing that two logical expressions are logically equivalent. label the steps in the proof with the law used to obtain each proposition from the previous proposition. the first line in the proof does not have a label. (p →9)(qv) (p v a) ^ (qv) (q vap) ^ ( v p) qv(pap) qv (p 4-p) qvf

What is the solution of log2  (3x  -  7)  =  3? 4 5

An office supply company conducted a survey before marketing a new paper shredder designed for home use. in the survey, 80 % of the people who tried the shredder were satisfied with it. because of this high satisfaction rate, the company decided to market the new shredder. assume that 80 % of all people are satisfied with this shredder. during a certain month, 100 customers bought this shredder. find the probability that of these 100 customers, the number who are satisfied is 69 or fewer.

Afactory buys 10% of its components from suppliers b and the rest from supplier c. it is known that 6% of the components it buys are faulty. of the components brought from suppliers a,9% are faulty and of the components bought from suppliers b, 3% are faulty. find the percentage of components bought from supplier c that are faulty.