I just got this off photo math they want me to type so I’m just finna say stuff but the answer is right there
By definition, the volume of a cylinder is given by:
V = π * r ^ 2 * h
Where,
r: cylinder radius
h: height
Clearing h we have:
h = (V) / (π * r ^ 2)
Substituting values:
h = (36π) / (π * 3 ^ 2)
h = (36π) / (9π)
h = (36π) / (9π)
h = 4 cm
Answer:
The height of the liquid will be in the new cylinder about:
h = 4 cm
Answer:
The probability you see a dolphin or a whale on both days is 0.64
Step-by-step explanation:
Consider the provided information.
It is given that the brochure claims an 80% chance of siting a dolphin or a whale.
The provided claims can be written as: 80% or 0.80
Let say first day you see a dolphin or a whale and same happen on the next day.
Thus, the probability is:
0.80 × 0.80 = 0.64
Probability of see them on both days is 0.64
Hence, the probability you see a dolphin or a whale on both days is 0.64
Let
x--------> the number of children
y------> the number of teenagers
z------> the number of adults
we know that
------> equation A
-----> equation B
![y=\frac{3}{4}x](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B4%7Dx)
-------> equation C
Substitute equation C in equation A and equation B
![2[\frac{4}{3}y]+3y+5z=1,950](https://tex.z-dn.net/?f=2%5B%5Cfrac%7B4%7D%7B3%7Dy%5D%2B3y%2B5z%3D1%2C950)
--------> equation D
![[\frac{4}{3}y]+y+z=570](https://tex.z-dn.net/?f=%5B%5Cfrac%7B4%7D%7B3%7Dy%5D%2By%2Bz%3D570)
--------> equation E
Multiply equation E by ![-5](https://tex.z-dn.net/?f=-5)
--------> equation F
Adds equation D and equation F
![\frac{17}{3}y+5z=1,950\\\\-\frac{35}{3}y-5z=-2,850\\\\---------\\\\-\frac{18}{3}y=-900\\\\y=3*900/18\\\\y=150\ teenagers](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B3%7Dy%2B5z%3D1%2C950%5C%5C%5C%5C-%5Cfrac%7B35%7D%7B3%7Dy-5z%3D-2%2C850%5C%5C%5C%5C---------%5C%5C%5C%5C-%5Cfrac%7B18%7D%7B3%7Dy%3D-900%5C%5C%5C%5Cy%3D3%2A900%2F18%5C%5C%5C%5Cy%3D150%5C%20teenagers)
therefore
<u>the answer is the option</u>
![150\ teenagers](https://tex.z-dn.net/?f=150%5C%20teenagers)