Answer:
s = 1/10
Step-by-step explanation:
First, divide both sides by 4 to get s by itself.
(2/5) / 4 = 1/10
s = 1/10
Answer:
Step-by-step explanation:
We are given that:
And we want to find F'(0).
First, find F(x):
![\displaystyle F'(x) = \frac{d}{dx}\left[ f(3x)]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20F%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%20f%283x%29%5D)
From the chain rule:
![\displaystyle \begin{aligned} F'(x) &= f'(3x) \cdot \frac{d}{dx} \left[ 3x\right] \\ \\ &= 3f'(3x)\end{aligned}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbegin%7Baligned%7D%20F%27%28x%29%20%26%3D%20f%27%283x%29%20%5Ccdot%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5Cleft%5B%203x%5Cright%5D%20%5C%5C%20%5C%5C%20%26%3D%203f%27%283x%29%5Cend%7Baligned%7D)
Then:
In conclusion, F'(0) = 15.
Answer:
(-3,3) - in quadrant 2 because the quadrant numbers increase as you go counterclockwise
Step-by-step explanation:
Answer:
The correct option is (D).
Step-by-step explanation:
Percentiles are statistical measures that are used to interpret data. It represents the data value which is more that a specific percentage of the data set.
The <em>n</em>th percentile of a data set is the value that is more that <em>n</em>% of the data set.
⇒ It is provided that a test-taker's score was at the 94th percentile for their verbal grade.
This statement implies that the test taker scored a mark more than 94% of the other test-takers, i.e. he\she performed better than 94% of the other test-takers in the verbal grade.
⇒ Also the test-taker's score was at the 16th percentile for their quantitative grade.
This implies that the test taker scored a mark more than 16% of the other test-takers, i.e. he\she performed better than 16% of the other test-takers in the quantitative grade.
Thus, the correct option is (D).
