According to a study done by the Gallup organization, the proportion of Americans who are satisfied with the way things are going in their lives is 0.82. Suppose a random sample of 100 Americans is asked the question "Are you satisfied with the way things are going in your life?" What is the probability the proportion of people who answer yes exceeds 0.85? Would it be unusual for a survey of 100 Americans to reveal that 75 or fewer are satisfiedwith the way things are going in their life?

Write the sine and cosine values of a, b, respectively, in the figure for (1) and (2) + explanation.

In the diagram, ab is tangent to c, ab = 4 inches, and ad = 2 inches. find the radius of the circle.

Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. a.) increase the area of the base of the square pyramid by a factor of ten. b.) increase the height of the cylinder by a factor of ten. c.) increase the radius of the cone by a factor of ten. d.) increase the radius of a sphere by a factor of ten.