Answer:
Step-by-step explanation:
Hello!
You have two events.
A: The employee is bilingual.
The probability of the employee being bilingual is P(A)= 30/85= 0.35
And
B: The employee has a graduate degree.
Additionally, you know that the probability of an employee having a graduate degree given that he is bilingual is:
P(B/A)= 0.37
You need to calculate the probability of the employee being bilingual and having a graduate degree. This is the intersection between the two events, symbolically:
P(A∩B)
The events A and B are not independent, which means that the occurrence of A modifies the probability of occurrence of B.
Applying the definition of conditional probability you have that:
P(B/A)= [P(A∩B)]/P(A)
From this definition, you can clear the probability of the intersection between A and B
P(A∩B)= P(B/A)* P(A)= 0.37*0.35= 0.1295≅ 0.13
I hope it helps!
The domain is the X coordinates.
The bottom black dot is on X =-4 and the top black dot is on X = 6.
Because the dots are solid black, this means the X coordinate is part of the solution ( equal to).
This means the domain is greater than or equal to -4 and less than or equal to 6
which would be written as -4=< x<=6
Answer:
(x+1, y-3)
Step-by-step explanation:
Because moving x by positive one means that you shift the shape to the right, and subtracting the y by 3 means moving it down by three. I solved it by choosing one point and figuring out how the same point ended up where it is after the translation (I looked at point a and saw how much it moved right and down). Hope this helps! :)
Add 2z to both sides. you get
6k-2z+2z=12+2z
6k=2z+12
divide both sides by 6
6k/6=2z+12 divide by 6
your answer is k=1/3z+2
i hope it helps!
Answer:
1: No
2: Yes
3: No
4: No
5: No
I hope this helps!
Step-by-step explanation: