1. (8 points) if there are 81 gold coins with one of them a fake lighter coin, describe a non- adaptive solution that will find the fake coin using 4 weighings of a pan balance. (hint: how many four letter words can be made using only the letters a, b and c? use these words to label the coins

In trapezoid efgh, m∠gfe=63∘. identify m∠ghe. !

In a survey of 1015 adults, a polling agency asked, "when you retire, do you think you will have enough money to live comfortably or not. of the 1015 surveyed, 534 stated that they were worried about having enough money to live comfortably in retirement. construct a 90% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement.

The point a is at –2 and the point b is at 7. marissa would like to divide this line segment in a 4: 3 ratio, and she would like to use the formula x = (x2 – x1) + x1. what values should she substitute into the formula? a = a + b = x1 = x2 =