Bethany's mother was upset because bethany's text messages from the previous month were 218% of the amount allowed at no extra cost under her phone plan. her mother had to pay for each text message over the allowance. bethany had 5,450 text messages last month. how many text messages is she allowed under the phone plan at no extra cost?

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.