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
1/2 = 0.5
12 & 1/2 = 12 + 1/2 = 12 + 0.5 = 12.5
4 & 1/2 = 4 + 1/2 = 4 + 0.5 = 4.5
Refer to the diagram below. Note how I divided the figure into two rectangles.
The larger red rectangle is 12.5 feet by 10 feet. It has area 12.5*10 = 125 square feet.
The smaller blue rectangle has dimensions 4.5 feet by 5 feet (the 5 is from 15-10 = 5), so it has area 4.5*5 = 22.5 square feet
Now add up those individual areas to get the total area
125+22.5 = 147.5
Then convert that to a mixed number
147.5 = 147 + 0.5 = 147 + 1/2 = 147 & 1/2
<h3>The correct area is 147 & 1/2 feet</h3>
Answer:
30%
Step-by-step explanation:
Answer:
top one
Step-by-step explanation:
i got it right :)
