A summer camp counselor wants to find a length x, in feet, across a lake as represented in the sketch above. Segments AC and DE intersect at B, and ∠AEB and ∠CDB have the same measure. She needs to know that the triangles shown are similar in order to find the distance across the lake. Which of the following best describes the reasons why the triangles are similar?

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