Answer:
P ( Z < 72 ) = 0.8577 or P ( Z < 72 ) = 85.77 %
Step-by-step explanation:
We know:
-A normal distribution
-Mean μ = 69.0 in
-Standard deviation σ = 2.8 in
- Population n = 350
And doors height 72 in
If passengers will pass through the door without bending that means he must be under 72 in tall, therefore we are looking for the probability of men under 72 in, to find such probability we compute the value of Z according to
Z = ( X - μ ) / σ ⇒ Z = ( 72 - 69 ) / 2.8
Z = 1.07
Now with this value we look the Z tables, to find a value of: 0.8577
So the probability of select a men and that he can fit through the door is
P ( Z < 72 ) = 0.8577 or P ( Z < 72 ) = 85.77 %
Answer:
Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.
Step-by-step explanation:
Let x be the number of fruit pies sold and y be the number of bottles of fruit juice sold.
Together, the classes sold 60 items, so
x + y = 60
Mr. Sanchez’s class sold fruit pies for $1.55 each, so x fruit pies cost $1.55x.
Mr. Kelly’s class sold bottles of fruit juice for $1.40 each, so y bottles of fruit juice cost $1.40y.
Together, the classes earned $88.20 for their school, so
1.55x + 1.40y = 88.20.
You get the system of two equations:

From the first equation:

Substitute it into the second equation:

Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.
12x8=96
This should be the correct answer
A 0.18 is the difference between SAT and college GPA