Given the comopound inequality:
Let's graph the compound inequality.
Here x is greater than -1 but less than or equal to 7.
To graph the inequality, we have:
[tex]-1Since x is greater than -1, plot an open dot on the point -1.
Also, x is less than or greater than 7, plot a closed dot on the point 7.
Then draw a straight line connecting both points.
Hence, we have the graph below:
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:
Part a) <1=72°
Part b) <2=108°
Part c) <3=72°
Part d) <4=108°
Step-by-step explanation:
step 1
Find the measure of angle 1
we know that
<1+108°=180° -----> by supplementary angles
so
<1=180°-108°=72°
step 2
Find the measure angle 2
we know that
<2=108° -----> by corresponding angles
step 3
Find the measure angle 3
we know that
<3=<1-----> by corresponding angles
so
<3=72°
step 4
Find the measure angle 4
we know that
<4=108° -----> by alternate exterior angles
The equation is (x-4)^2=6(y-1)
Answer:
1.7 or 38/5
Step-by-step explanation:
Hope this helps!
