Answer:
The proportion of students whose height are lower than Darnell's height is 71.57%
Step-by-step explanation:
The complete question is:
A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 centimeters. Darnel is a middle school student with a height of 161.4cm.
What proportion of proportion of students height are lower than Darnell's height.
Answer:
We first calculate the z-score corresponding to Darnell's height using:

We substitute x=161.4 ,
, and
to get:

From the normal distribution table, we read 0.5 under 7.
The corresponding area is 0.7157
Therefore the proportion of students whose height are lower than Darnell's height is 71.57%
Answer:
Y-5=-8/5 (x+3)
Step-by-step explanation:
Solution:
The gas can is filled at the rate of 320 cubic inches per minute.
The can is 10 inches long, 8 inches wide, and 12 inches high.
So volume of the can=10 in*8 in *12 in

Time required to fill the can
Hence Time required to fill the can =3 minutes.
Answer:
x= -5/2
Step-by-step explanation:
4 - (2x+4)=5
4-2x-4=5
-2x=5
x=-5/2