Answer: 21
Step-by-step explanation:
Given : The scores on the midterm exam are normally distributed with
Let X be random variable that represents the score of the students.
z-score: 
For x=82
For x=90
Now, the probability of the students in the class receive a score between 82 and 90 ( by using standard normal distribution table ) :-
Now ,the number of students expected to receive a score between 82 and 90 are :-
Hence, 21 students are expected to receive a score between 82 and 90 .
Answer:
f
(
x
)
=
3
(
x
−
1
)
2
+
5
Use the vertex form,
y
=
a
(
x
−
h
)
2
+
k
, to determine the values of
a
,
h
, and
k
.
a
=
3
h
=
1
k
=
5
Find the vertex
(
h
,
k
)
.
(
1
,
5
)
image of graph
Answer:
$123.59
Step-by-step explanation:$178.91 - $55.32 = $123.59
According to the information given, the ramp would be 50 feet high. (However, that seems really high. Did you type your problem correctly?)
If you draw a picture, you will see that you can set up a cosine ratio to solve this problem. With a 30 degree angle of depression, the angle we are going to use 60 degrees.
We can set up the following equation:
cos(60) = x / 100
0.5 = x / 100
50 = x
