Answer:
Probability that she picks Saturday and Sunday = 1/21 = 0.0476
Step-by-step explanation:
Total number of days in a week = 7
Number of days selected = 2
Total number of combinations = 7C₂
Total number of favorable ways = 1 that is Sunday and Saturday.
Probability that she picks Saturday and Sunday = 1/21 = 0.0476
Answer:
Step-by-step explanation:
<u>Find the measures of interior angles in each triangle</u>
Triangle BGC
The measures of triangle BGC are
Triangle CGH
we know that
-----> by consecutive interior angles
we have that
so
substitute
we have
remember that
The measures of triangle CGH are
Triangle GHE
remember that
substitute and solve for m<GEH
The measures of triangle GHE are
Answer:
Remember, if B is a set, R is a relation in B and a is related with b (aRb or (a,b))
1. R is reflexive if for each element a∈B, aRa.
2. R is symmetric if satisfies that if aRb then bRa.
3. R is transitive if satisfies that if aRb and bRc then aRc.
Then, our set B is .
a) We need to find a relation R reflexive and transitive that contain the relation
Then, we need:
1. That 1R1, 2R2, 3R3, 4R4 to the relation be reflexive and,
2. Observe that
Therefore is the smallest relation containing the relation R1.
b) We need a new relation symmetric and transitive, then
and the analysis for be transitive is the same that we did in a).
Observe that
Therefore, the smallest relation containing R1 that is symmetric and transitive is
c) We need a new relation reflexive, symmetric and transitive containing R1.
For be reflexive
For be symmetric
For be transitive
Then, the smallest relation reflexive, symmetric and transitive containing R1 is