New visitors to a certain website have a 0.150.150, point, 15 probability of creating an account on their first visit. Let VVV be the number of new visitors who visit the site until the first one of them creates an account. Assume that each visitor's decision to create an account or not is independent. Find the probability that the 6^{\text{th}}6 th 6, start superscript, start text, t, h, end text, end superscript new visitor is the first to create an account. You may round your answer to the nearest hundredth. P(V=6)=P(V=6)

At steady state, air enters an insulated duct of varying cross-sectional area (similar to a nozzle or diffuser) at 200 kpa, 52°c with a mass flow rate of 0.5 kg/s. at the duct exit, the pressure of the air is 100 kpa, the velocity is 255 m/s, and the cross-sectional area is 2 x 10-3 m^2. assuming an ideal gas model, determine: a)-find the specific volume of the air at the exit, in m3/kg. b)- the temperature of the air at the exit, in k. c)-the velocity of the air at the inlet, in m/s. d)-the inlet cross-sectional area, in m^2.