Every now and then even a good diamond cutter has a problem and the diamond breaks. For one cutter, the rate of breaks is .2%. If this cutter works on 100 stones, what is the probability that he breaks between 2 and 7 stones (including the 2 and 7)? P(2≤X≤7)=? This information will help a gemologist hire and assess high-quality employees.

Mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.