A certain commercial jet plane uses a mean of 0.15 gallons of fuel per passenger-mile, with a standard deviation of 0.01 gallons.

a. Find the mean number of gallons the plane uses to fly 8000 miles if it carries 210 passengers.
b. Assume the amounts of fuel used are independent for each passenger-mile traveled. Find the standard deviation of the number of gallons of fuel the plane uses to fly 8000 miles while carrying 210 passengers.
c. The plane used X gallons of fuel to carry 210 passengers 8000 miles. The fuel efficiency is estimated as X/(210 x 8000). Find the mean of this estimate.
d. Assuming the amounts of fuel used are independent for each passenger-mile, find the standard deviation of the estimate in part (c).

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a. what is the independent and dependent variables? b. find the amplitude and the period of the function. c. create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.