Answer:
Step-by-step explanation:
Given that X - the distribution of heights of male pilots is approximately normal, with a mean of 72.6 inches and a standard deviation of 2.7 inches.
Height of male pilot = 74.2 inches
We have to find the percentile
X = 74.2
Corresponding Z score = 74.2-72.6 = 1.6
P(X<174.2) = P(Z<1.6) = 0.5-0.4452=0.0548=5.48%
i.e. only 5% are below him in height.
Thus the malepilot is in 5th percentile.
The second one, 82% is Erin's highest score
$8.70 is the total cost without the coupons. He gets 6 gallons. He gets $0.55 off per gallon.
To find the total price Zak got off, multiply 6 and $0.55. 6 x $0.55 = $3.30, so he got $3.30 off.
To find the total price. Add the total cost without the coupons + the amount the coupons saved him.
$8.70 + $3.30 = $12
To find the price per one gallon, divide the total price / number of gallons
$12/6 = $2. The regular price is $2 a gallon