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
C = 9 m the perimeter is all the sides added together you have 9 +8 that is 17 add another 9 and that equals 26 which is the perimeter.<span />
Answer: B
$10,390.75
Step-by-step explanation:
Given that the lease = $291 per month
Lease pay = 291 × 24 = $6984
Time = 24 months
down payment = $458.
The lease allows for 12,000 miles per year and includes a $0.35 per mile charge for miles driven in excess of that amount.
For the car to be driven a total of 32,425 miles.
Excess = 32425 - 24000 = 8425 miles
Charges = 0.35 × 8425 = $2948.75
The cost for two years for this vehicle will be
2948.75 + 458 + 6984 = $10390.75
Answer: f(x+1) =2x^2 -3x-12
Hope this helps ʕ•ᴥ•ʔ