,
,
We find the probability of intersection using the inclusion/exclusion principle:
By definition of conditional probability,
For
and
to be independent, we must have
in which case we have
, which is true, so
and
are indeed independent.
Or, to establish independence another way, in terms of conditional probability, we must have
which is also true.
Hello there,
The <em>answer is </em>A' (-3,2).
<h3>Step-by-step explanation:-</h3>
From the image shown on the xy-plane, the coordinate of point A is at (3,-2).
The rule for rotation by 180° about the origin is (x,y)→(-x, -y), where (x,y) is the coordinate of image and (-x, -y) is the coordinate of the resulting pre-image.
Given the coordinate point A(3,-2), if this coordinate is rotated 180°, the resulting point A' will be located at (-3,-(-2)) = (-3,2).
Therefore, the answer will be <u>A'(-3,2)</u>
✍️ <em>by </em><em>Benjemin</em> ☺️
Answer:
Step-by-step explanation:
6 is the thousands place
0 (right next to it) is the 10 thousands place
9 is the hundred thousands place. There is only 1 nine present so the answer is unique.
Answer:
Step-by-step explanation:
3 × (4 + 5) - 6 = 21
4 × (3 + 2) - 8 = 12
Answer:
441/4
Step-by-step explanation:
Find the GCD of numerator and denominator
GCD of 1323 and 12 is 3
Divide both the numerator and denominator by the GCD
1323 ÷ 3
12 ÷ 3
Reduced fraction:
441/4
________
Hope this helps!
-Lexi
