The proportion of all high school students who watch national news is p = 0.47. A random sample of 50 high school students is selected. Which of the following is the mean of the sampling distribution of p hat ? Mu Subscript p hat = p = 0.47 Mu Subscript p hat = n p = 50 (0.47) = 23.5 Mu Subscript p hat = 1 minus p = 1 minus 0.47 =0.53 Mu Subscript p hat = n (1 minus p) = 50 (1 minus 0.47) = 26.5

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice