The z-score is calculated by the formula (x - mu)/sigma, where x is the value, mu is the mean, and sigma is the standard deviation.
Since they're vertical angles, they're equal in degree measure
since they're equal, we can make the two expressions equal to each other
5a - 1 = 2a + 20
add 1 to both sides
5a = 2a + 21
subtract 2a from both sides
3a = 21
divide both sides by 3a
a = 7
now, plug the answer you found for a into one of the two expressions
5a - 1 becomes (5*7) - 1, which equals 34
to double check that they're equivalent (since they're vertical angles)
2a + 20 becomes (2*7) + 20, which equals 34
both angles are 34 degrees!
Answer:
I think it's number 5 or (5,8)
Step-by-step explanation:
Volume of water in the tank:

Differentiate both sides with respect to time <em>t</em> :

<em>V</em> changes at a rate of 2000 cc/min (cubic cm per minute); use this to solve for d<em>h</em>/d<em>t</em> :


(The question asks how the height changes at the exact moment the height is 50 cm, but this info is a red herring because the rate of change is constant.)
Answer:
A. Cube root
Step-by-step explanation: