There are 25 students in mrs. venetozzi’s class at the beginning of the school year, and the average number of siblings for each student is 3. a new student with 8 siblings joins the class in november. what is the new class average for number of siblings? round your answer to the nearest hundredth.

Peter applied to an accounting firm and a consulting firm. he knows that 30% of similarly qualified applicants receive job offers from the accounting firm, while only 20% of similarly qualified applicants receive job offers from the consulting firm. assume that receiving an offer from one firm is independent of receiving an offer from the other. what is the probability that both firms offer peter a job?