Answer:
$100 increase
Step-by-step explanation:
500 x 20%
= $100 increase
Check the picture below.
as you can see, the graph of the volume function comes from below goes up up up, reaches a U-turn then goes down down, U-turns again then back up to infinity.
the maximum is reached at the close up you see in the picture on the right-side.
Why we don't use a higher value from the graph since it's going to infinity?
well, "x" is constrained by the lengths of the box, specifically by the length of the smaller side, namely 5 - 2x, so whatever "x" is, it can't never zero out the smaller side, and that'd happen when x = 2.5, how so? well 5 - 2(2.5) = 0, so "x" whatever value is may be, must be less than 2.5, but more than 0, and within those constraints the maximum you see in the picture is obtained.
Answer:
The numbers
such that the average value of
on the interval [0, b] is equal to 8 are
and
.
Step-by-step explanation:
The mean value of function within a given interval is given by the following integral:

If
,
,
and
, then:





The roots of this polynomial are determined by the Quadratic Formula:
and
.
The numbers
such that the average value of
on the interval [0, b] is equal to 8 are
and
.
Answer:
150 students
Step-by-step explanation:
According to statement we have the following information
number of juniors=n=300
mean score=24
standard deviation score=4
The number of students that score above 24 is determined by
Number of students score above 24=number of juniors* P(student score above 24)
P(student score above 24)=P(x>24)=P(x-mean/sd>24-24/4)=P(z>0)=0.5.
Students score above 24=np=300*0.5=150
Hence there are 150 students scored above 24.
Answer:
522
Step-by-step explanation: