2. a cube is made up of six congruent square faces. find the length of the inner diagonal of the cube. note that is the hypotenuse of right triangle adh. (round your answer to the nearest hundredth.)

a) use the 45-45-90 property or the pythagorean theorem to find the length of the diagonal (dh) of the bottom base of the cube.
b) use the length from part a as one leg, the length of side ad, and the pythagorean theorem to find the length of the diagonal ah.

People end up tossing 12% of what they buy at the grocery store. assume this is the true population proportion and that you plan to take a sample survey of 540 grocery shoppers to further investigate their behavior. a. calculate the mean and the standard error for the sample proportion p. b. describe the sampling distribution of p in part a. draw a graph of this probability distribution with its mean and standard deviation. what is the probability that your survey will provide a sample proportion more than 15%? c. d. population proportion? what is the probability that your survey will provide a sample proportion within + 0.03 of the