Find the sample size required to achieve the given margin of error. Round your answer to the nearest
whole number.

5. 6.2%
6. 22.8%
7. 39.1%
8. 54.9%

In which direction does the left side of the graph of this function point? a(x) = 3x - x2 + 4x - 2

If you were constructing a triangular frame, and you had wood in the length of 4inches, 4 inches, and 7 inches, would it make a triangle? would you be able to create a frame from these pieces of wood?

Aquality characteristic of new iphone x made at the amsterdam plant at apple computers has a manufacturing specification (in mm) of 0.200 +/- .07. historical data indicates that if the quality characteristic takes on values greater than 0.27 or smaller than 0.13 the component fails at a cost of20.19. based on these data: determine the taguchi loss function (must show work) calculate an estimated loss for a quality characteristic of .30 calculate an estimated loss for quality characteristic of .40.