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 .
<h3>
Answer:</h3>
It is (3, -1)
<em>Hope this helped :)</em>
Answer:
a) The stop sign is a regular octagon, so the measure of ∠F must be 67.5°. What is the angle measure for ∠L? Describe the relationship between ∠F and ∠L. (1 point)
Angle L is 67.5 degrees. Angles F and L are opposite each other, yet the same angle-degree. Hope this helps <3
Step-by-step explanation:
Ur answer it 0.04 bc u would take the 0.2•0.20=0.04
Answer:
140 ml
Step-by-step explanation:
Let x be the amount of water in Beaker X and y be the amount of water in Beaker Y.
<u>Then we get following equations:</u>
<u>First part</u>
- x - 50 = 3/7(y + 50)
- 7x -350 = 3y + 150
- 7x = 3y + 500
<u>Second part</u>
- x + 100 = 4(y - 100)
- x + 100 = 4y - 400
- x = 4y - 500
<u>Substitute x in first equation:</u>
- 7(4y - 500) = 3y + 500
- 28y - 3500 = 3y + 500
- 28y - 3y = 500 + 3500
- 25y = 4000
- y = 4000/25
- y = 160 ml
<u>Then finding x:</u>
- x = 4*160 - 500
- x = 640 - 500
- x = 140 ml
Initial amount of water in Beaker X is 140 ml, in Beaker Y is 160 ml
