2x+2y = 5 3x + 3y = 7 How many solutions does the system of equations above have?
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Answer:
1,001 ways for them to decide.
Step-by-step explanation:
The order in which they will visit the countries is not important, so we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
10 countries from a set of 14. So
1,001 ways for them to decide.
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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Mean is and a standard deviation is
, then the variable
.
Use substitution
.
This substitution gives you that .
a. For X=130, and
(the decimal value is taken from the Standard Normal Distribution Table).
b. For X=90, and for X=110,
. Then
(the decimal value is taken from the Standard Normal Distribution Table).