What is the probability that a respondent chosen at random is a male or a female?
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The image is decomposed as follows: H1 and H2. Where original graph is Hx.
<h3>Are the images (attached) valid decompositions of the original graph?</h3>- Yes, they are because, H1 and H1 are both sub-graphs of Hx; also
- H1 ∪ H2 = Hx
- They have no edges in common.
Hence, {H1 , H2} are valid decomposition of G.
<h3>What is a Graph Decomposition?</h3>A decomposition of a graph Hx is a set of edge-disjoints sub graphs of H, H1, H2, ......Hn, such that UHi = Hx
See the attached for the Image Hx - Pre decomposed and the image after the graph decomposition.
Learn more about decomposition:
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Answer:
Option D. A number line with an open circle on 4 with shading to the right and a closed circle on 10 with shading to the left
Step-by-step explanation:
we have
Divide the compound inequality into two inequalities
-----> inequality A
Multiply by -1 both sides
Divide by 5 both sides
The solution of inequality A is the interval ----> (-∞,10]
All real numbers less than or equal to 10
-----> inequality B
Multiply by -1 both sides
Divide by 5 both sides
Rewrite
The solution of the inequality B is the interval ----> (4,∞)
All real numbers greater than 4
The solution of the compound inequality is
(-∞,10] ∩ (4,∞)= (4,10]
All real numbers greater than 4 and less than or equal to 10
A number line with an open circle on 4 with shading to the right and a closed circle on 10 with shading to the left