2balls are selected at random and removed without replacement from a box containing 5 black balls and 3 red balls. the corresponding probabilities and the corresponding value of a random variable x where x is the number of black balls selected. finfd the distribution function of random variable x?

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.