Answer:
The annual interest rate is 4%
Answer:
We have that
.
So

However, b is a probability, which means that it cannot be negative. So no, P(A ∩ B) cannot be 0.5. It can, at most, be 0.3.
Step-by-step explanation:
Event A:
Probability that a student has a Visa card.
Event B:
Probability that the student has a MasterCard.
We have that:

In which a is the probability that a student has a Visa card but not a MasterCard and
is the probability that a student has both these cards.
By the same logic, we have that:

In this problem, we have that:

(a) Could it be the case that P(A ∩ B) = 0.5?
We have that
.
So

However, b is a probability, which means that it cannot be negative. So no, P(A ∩ B) cannot be 0.5. It can, at most, be 0.3.
Answer:
The answer is rotation 270° about the origin
Step-by-step explanation:
If (x , y) is a point in xy-coordinates
If the point rotate about the origin ⇒ (The positive direction is anti-clockwise)
1- 90°
Its image is (-y , x)
2- 180°
Its image is (-x , -y)
3- 270°
Its image is (y , -x)
If we assume A is (1 , 7)
1- ⇒ (-7 , 1) ⇒ rotation 90° about the origin
2- ⇒ (-1 , -7) ⇒ rotation 180° about the origin
3- ⇒ (7 , -1) ⇒ rotation 270° about the origin
∵ x-coordinate of point A small and +ve and y-coordinate large and +ve
∵ x-coordinate of point A' large and +ve and y-coordinate small and -ve
∴ The answer is rotation 270° about the origin
∴ The answer is rotation 270° about the origin
Answer:
A 33 1/3
Step-by-step explanation: