Answer:

Step-by-step explanation:
In order to find the values of a piecewise function, we first have to determine which piece we are using.
For
, x=-3. This means that we need to use
as 

For
, x=2. This means that we need to use
as x is equal to 2.

Answer:
Mathematically, two events are considered to be independent if the following relation holds true,
∵ P(B | A) = P(B)
For the given case,
P(D | L) = P(D)
But
0.13 ≠ 0.47
Since the relation doesn't hold true, therefore, "being left-handed" and "being a Democrat are not independent events.
Step-by-step explanation:
We are given that
Left-handed = P(L) = 0.40
Democrats = P(D) = 0.47
If a president is left-handed, there is a 13% chance that the president is a Democrat.
P(D | L) = 0.13
Based on this information on the last fifteen U.S. presidents, is "being left-handed" independent of "being a Democrat?
Mathematically, two events are considered to be independent if the following relation holds true,
∵ P(B | A) = P(B)
For the given case,
P(D | L) = P(D)
But
0.13 ≠ 0.47
Since the relation doesn't hold true, therefore, "being left-handed" and "being a Democrat are not independent events.
Answer:
880
Step-by-step explanation:
8% equals 0.08, 0.08 x 11000 = 880
Sorry if I was wrong I tried my best.
Answer:
The average rate of change between -1 and 2 is 1.
Step-by-step explanation:
To get this, use the two ordered pairs (-1, 5) and (2, 8). Now use the slope formula to find the rate of change.
m(slope) = (y2 - y1)/(x2 - x1)
m = (8 - 5)/(2 - -1)
m = 3/3
m = 1