The 1:3 ratio means that the distance from A to the point is 1/4 of the distance from A to B.
The difference of y-coordinates is 10-8 = 2. 1/4 of that is 2·1/4 = 1/2, so the point of interest will have y-coordinate 8 + 1/2 = 8 1/2. This apparently corresponds to the first selection:
... (6 1/2, 8 1/2)
Answer:
9
Step-by-step explanation:
9
First set up an equation in n:-
3n + 10 = 8n
add -3n to both sides;-
10 = 5n
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.
