Answer:

Step-by-step explanation:
First of all we need to know when does two events become independent:
For the two events to be independent,
that is if condition on one does not effect the probability of other event.
Here, in our case the only option that satisfies the condition for the events to be independent is
. Rest are not in accordance with the definition of independent events.
Answer:
Option F is correct, i.e. "rotating 90° counterclockwise around point C."
Step-by-step explanation:
Given is the regular octagon PQRSTVWZ with its center at point C.
To map octagon PQRSTVWZ onto itself, we must provide such a transformation that should not change the size or coordinates of the vertices.
We can not use Translations, Reflections, and Dilations because they will change size and coordinates.
We can use only Rotations and that should be about the center C of the regular shape.
About center point C, and rotations of 90° does not change the orientation of the regular octagon, Both images would overlap each other.
Hence, option F is correct, i.e. "rotating 90° counterclockwise around point C."
Think of sqrt(2) as a variable.
3x - x = 2x
If x = sqrt(2), then answer is 2sqrt(2)
<span>20.28% is the answer</span>