Top boxes: | X | 1 | 2 | 3 |
bottom boxes: | Y=2X - 2 | 0 | 2 | 4 |
Answer:
h = 9 units of length
Step-by-step explanation:
Volume of a circular right cone is:
V(c) = (1/3)*Area of the circular base * h
Where h is the height of the cone, then
V(c) = (1/3) * π * r² * h
And we have that V(c) = 108*π
Then:
108 * π = (1/3) * π * r² * h (1)
We know diameter of the circular base is 12 units, according to that
r = d/2 ⇒ r = 12/2 r = 6 units
Then:
108 * π [ cubic units ] = (1/3) * π * (6)² * h [square units] [ units of length]
When simplifying we have to take into account that in order to keep last equation h needs to have units of length
Therefore:
108 = (1/3) * 36 * h
h = ( 108* 3 )/ 36
h = 9 units of length
Answer:
Hey there!
This is because the theoretical probability is different from the experimental probability. The theoretical probability is what is expected, but the experimental probability is what actually happens.
Hope this helps :)
Answer:
99 marks
Step-by-step explanation:
Given:
Juan received scores of 82, 76, 93, and 80 on his first four chemistry tests.
His goal is to have an 86 average in chemistry for his first five tests.
Question asked:
What score must he earn on the next test to achieve an average of exactly 86?
Solution:
Let score he must earn on the fifth test = 
As we know:
Scores in five test = 82, 76, 93, 80, 
Total number of test = 5
<u>We can find the score of fifth test, he must earn to achieve an average of exactly 86 by using this formula:</u>


By cross multiplication

Subtracting both sides by 331

Therefore, he must earn 99 marks to achieve an average of exactly 86 for his first five tests in chemistry.