Show that the result given in exercise 3.158 also holds for continuous random variables. that is, show that, if y is a random variable with moment-generating function m(t) and u is given by u = ay + b, the moment-generating function of u is etbm(at). if y has mean μ and variance σ2, use the moment-generating function of u to derive the mean and variance of u.

What point is the projection of q on a) r b) s c) t

The avenues in a particular city run north to south and are numbered consecutively with 1st avenue at the western border of the city. the streets in the city run east to west and are numbered consecutively with 1st street at the southern border of the city. for a festival, the city is not allowing cars to park in a rectangular region bordered by 5th avenue to the west. 9th avenue to the east, 4th street to the south, and 6th street to the north. if x is the avenue number and yis the street number, which of the following systems describes the region in which cars are not allowed to park? 5th ave 9th ave

Mr. brettler is hanging up a 5-foot tall rectangular welcome sign in the gym. he has drawn a sketch on a coordinate grid. he has the lower vertices of the sign at (9, –3) and (–6, –3). where would the upper vertices be on the grid?