In a national park, the distance between the base of two cliffs is 312 feet. The angle of elevation from the base of the shorter cliff to the top of the taller cliff is 35 degrees. The angle of elevation from the base of the taller cliff to the top of the shorter cliff is 27 degrees. The tops of the two cliffs are joined by a bridge of length x, as modeled below.

The amount of calories consumed by customers at the chinese buffet is normally distributed with mean 2743 and standard deviation 652. one randomly selected customer is observed to see how many calories x that customer consumes. round all answers to 4 decimal places where possible. a. what is the distribution of x? x ~ n(correct,correct) b. find the probability that the customer consumes less than 2355 calories. incorrect c. what proportion of the customers consume over 3026 calories? incorrect d. the piggy award will given out to the 1% of customers who consume the most calories. what is the fewest number of calories a person must consume to receive the piggy award? incorrect calories. (round to the nearest calorie)