There once was a 5.5 ft tall wizard named Proportimus, who was standing between an 8 ft giant named Geo and a magical crystal on the ground of a dungeon. The crystal and the tops of both of their heads were collinear. Geo and Proportimus were standing 10 ft. apart. Geo can leap a distance of 40 ft in a single bound. Proportimus can magically summon the crystal from a maximum distance of 20 ft. If one giant leap takes the same amount of time as one wizard summon, then who can get the crystal first? Draw a diagram to model the situation:

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)