The average miles per gallon of a particular automobile model are approximately normally distributed with a given mean u = 43.8 miles per gallon and standard deviation o = 5.1 miles per gallon. what percentage of the automobiles have an average miles per gallon between 38.7 miles per gallon and 48.9 miles per gallon? 68 75 95 100

Note that 38.7 mpg is one standard deviation below the mean, and that 48.8 mpg is one std dev above the mean. Thus, we're interested in finding the area under the standard normal curve within one std dev of the mean.

According to the Empirical Rule, that percentage is 68%.

Thus, 68% of cars in this pool get between 38.7 and 48.8 mpg.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

both equations and proportions are better.