Hot air is less dense than cool air, so hot air will rise above cool air. increasing the air temperature inside a hot air balloon makes it lighter than the surrounding air, so the balloon can lift up. the density of hot air is about 0.25 kg/m^3 less than that of cool air, which means a cubic meter of hot air can lift about 0.25 kg. what is the minimum volume of hot air needed to lift a hot air balloon carrying 800 kg?

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3

Find the perimeter of the triangle with vertices  d(3, 4),  e(8, 7), and  f(5, 9). do not round before calculating the perimeter. after calculating the perimeter, round your answer to the nearest tenth.  

The longer leg of a 30-60-90 trangle is 18