Answer:
the probability that the sample mean will be larger than 1224 is 0.0082
Step-by-step explanation:
Given that:
The SAT scores have an average of 1200
with a standard deviation of 60
also; a sample of 36 scores is selected
The objective is to determine the probability that the sample mean will be larger than 1224
Assuming X to be the random variable that represents the SAT score of each student.
This implies that ;

the probability that the sample mean will be larger than 1224 will now be:






From Excel Table ; Using the formula (=NORMDIST(2.4))
P(\overline X > 1224) = 1 - 0.9918
P(\overline X > 1224) = 0.0082
Hence; the probability that the sample mean will be larger than 1224 is 0.0082
we know that
the car gets 18 miles per -----------> 1 gallon of gasoline
so
for 543 miles ---------------------> x gallons of gasoline
by proportion
543/18=x/1---------->x=543/18------->x=30.17 gallons
therefore
the answer is
30.17 gallons
The answer is b I hope I could help
Something to the second power is simply that number multiplied by itself once. The third power is something multiplied by itself 2 times, and so on