Consider the diagram below. Which of the following statements is correct?
2 answers:
Answer:
A
Step-by-step explanation:
The diagram shows two parallel lines XY and WV.
1. Parallel lines XY and WV are cut by transversal XW, then angles YXZ and VWZ are congruent as alternate interior angles.
2. Parallel lines XY and WV are cut by transversal YV, then angles XYZ and WVZ are congruent as alternate interior angles.
AA similarity theorem states if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
So, by AA similarity
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Answer:
And if we solve for a we got
And for this case the answer would be 35185 the lowest 1% for the salary
Step-by-step explanation:
Let X the random variable that represent the salary, and for this case we can assume that the distribution for X is given by:
Where and
And we want to find a value a, such that we satisfy this condition:
(a)
(b)
We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.01 of the area on the left and 0.99 of the area on the right it's z=-2.33. On this case P(Z<-2.33)=0.01 and P(z>-2.33)=0.99
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
And for this case the answer would be 35185 the lowest 1% for the salary