On may 23, 2013, gallup reported that of the 1,005 people surveyed, 76% of u. s. workers believe that they will continue working past retirement age. the confidence level for this study was reported at 95% with a ±3% margin of error. (a) determine the estimated proportion from the sample.

 0.76

Step-by-step explanation:

We know that the sample proportion is the best estimate of the population proportion.                                                                                      (1)

Given : Gallup reported that of the 1,005 people surveyed, 76% of U.S. workers believe that they will continue working past retirement age.

Let p be the population proportion.

We have sample proportion:

Therefore, the estimated proportion of U.S. workers believe that they will continue working past retirement age from the sample =  

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