Answer:
15 ft
Step-by-step explanation:
This problem can be represented by a right angle triangle, shown in the diagram below.
The distance between Jin and Zoe is the hypotenuse of the triangle, x.
According to Pythagoras theorem,
hyp² = opp² + adj²
Where opp is the opposite side and adjacent is the adjacent side to any angle of consideration (which is not important in this case)
Hence:
x² = 12² + 9²
x² = 144 + 81
x² = 225
Finding the square root:
x = 15 ft
Jin and Zoe are 15 ft apart.
Answer:
The closest to the maximum profit is
Step-by-step explanation:
From the question we are told that
The mean is
The standard deviation is
The percentage of profit is 20%
Generally the closest to the maximum annual profit at a store where the executives conducted an audit is mathematically evaluated as follows
=>
From the z-table the z-score for 0.20 is
So
=>
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