A cylinder contains nitrogen gas at a temperature of 300 Kelvin and pressure of 15 atmospheres in a volume of 100 liters. Calculate the proportionality constant k. Calculate the temperature of the nitrogen gas if a piston is
used to reduce the volume of the gas to 80 liters.
Options:
The proportionality constant is 1/3.
The temperature is 27 Kelvin when volume is 80
liters.
The proportionality constant is 3.
The temperature is 240 Kelvin when volume is 80
liters.
The proportionalitysmpnstant is 1/3.
The temperature is 240 Kelvin when volume is 80
liters.
The proportionality constant is 3.
The temperature is 27 Kelvin when volume is 80
liters.

Monthly water bills for a city have a mean of $108.43 and a standard deviation of $32.09. find the probability that a randomly selected bill will have an amount greater than $155, which the city believes might indicate that someone is wasting water. would a bill that size be considered unusual?

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?

Given that s is the centroid of triangle mno, find sq.