A class contains 8 mathmeticians, 7 scientists, and 2 artists. 3 students are picked from the class to take part in a school trip. Find the probability that none of them are scientists and find the probability that they are all in the same profession.

In a coastal town, the humidity, measured in grams of water per kilogram of air, increases by 43% for every 1 degree celsius increase in temperature. a scientist observes that the humidity on monday morning is 5.75 grams per kilogram. he wants to know how much the temperature must increase for the humidity to reach at least 49.17 grams per kilogram. let t represent the increase in temperature, in degrees celsius, from monday morning's observation. write an inequality to represent the situation, and use it to determine the desired temperature increase.