Answer:
(E) 0.71
Step-by-step explanation:
Let's call A the event that a student has GPA of 3.5 or better, A' the event that a student has GPA lower than 3.5, B the event that a student is enrolled in at least one AP class and B' the event that a student is not taking any AP class.
So, the probability that the student has a GPA lower than 3.5 and is not taking any AP classes is calculated as:
P(A'∩B') = 1 - P(A∪B)
it means that the students that have a GPA lower than 3.5 and are not taking any AP classes are the complement of the students that have a GPA of 3.5 of better or are enrolled in at least one AP class.
Therefore, P(A∪B) is equal to:
P(A∪B) = P(A) + P(B) - P(A∩B)
Where the probability P(A) that a student has GPA of 3.5 or better is 0.25, the probability P(B) that a student is enrolled in at least one AP class is 0.16 and the probability P(A∩B) that a student has a GPA of 3.5 or better and is enrolled in at least one AP class is 0.12
So, P(A∪B) is equal to:
P(A∪B) = P(A) + P(B) - P(A∩B)
P(A∪B) = 0.25 + 0.16 - 0.12
P(A∪B) = 0.29
Finally, P(A'∩B') is equal to:
P(A'∩B') = 1 - P(A∪B)
P(A'∩B') = 1 - 0.29
P(A'∩B') = 0.71
Answer:
A= 0.5, B=2.2, C=0.12, D=.0.9.
Step-by-step explanation:
In an isosceles triangles the sides that are congruent form two congruent angles...you should be given one of those angle measures or the other one...if you are given one of the angle measure formed by the congruent side you know the one opposite it is the same and you know all the measures of angles in a triangle = 180 so you should be able to find them all
Answer:
x={-3/2,-13/2}
Step-by-step explanation:
3-2|x+4|+3=1
-2|x+4|+6=1
-2|x+4|=-5
|x+4|=5/2
x+4=5/2
x+4=-5/2
x=5/2-4
x=-3/2
x=-5/2-4
x=-13/2
