Assume that x is a random variable in a probability distribution with mean μ and standard deviation σ. find expressions for the mean and standard deviation if every value of x is modified by first being multiplied by 4, then increased by 5.

The first octant inside the cylinder  x2  +  y2  =  16  and below the plane z = 3. 2 sketch the solid whose volume is given by the integral. ∫ π/2. 0. ∫ 2. 0. ∫ 9−r2. 0 r dz dr dθ, and  evaluate  the integral. 3  use spherical coordinates  to  evaluate. ∫∫∫.  e  z  dv  , where  e lies between  the  spheres x2+y2+z2  = 1 and  x2  +y2  +  z2  =  4  in