1) 3/12
Because 1/3 would have changed to 4/12,
1x4= 4
3x4=12
You need to multiply them by the same number and 1) was multiplied by three on the numerator and four on the denominator.
Answer:
The probability of drawing an odd numbered ticket is 60%.
Step-by-step explanation:
Odd numbered tickets:
Probability of one is 1/5 plus half of 1/5.
Probability of 3 is half of 1/5.
Probability of 5 is 1/5. So
Probability of drawing an odd numbered ticket:
0.6*100% = 60%
The probability of drawing an odd numbered ticket is 60%.
Answer:
11+2i=9
Step-by-step explanation:
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
EXPLANATION
Since the parabola has the (0, 0) and the directrix at y=2.
The equation is of the form
where (h,k) is the vertex.
The vertex is half way between the directrix and the focus.
The vertex will be at (0,1)
and is the distance from the vertex to the focus which is 1.
