Answer: The correct option is (1) Dependent.
Step-by-step explanation: For two events, we are given the following values of the probabilities :
P(A ∩ B) = 0.20, P(A) = 0.49 and P(B) = 0.41.
We are to check whether the events A and B are independent or dependent.
We know that
the two events C and D are said to be independent if the probabilities of their intersection is equal to the product of their probabilities.
That is, P(C ∩ D) = P(C) × P(D).
For the given two events A and B, we have

Therefore, the probabilities of the intersection of two events A and B is NOT equal to the product of the probabilities of the two events.
Thus, the events A and B are NOT independent. They are dependent events.
Option (1) is CORRECT.
Remark
For every 3 units for NP will be 4 units. You can set up a proportion.
3*NP = 4*45
3*NP = 180 Divide by 3
NP = 180/3
NP = 60
Answer C
Answer:
21
Step-by-step explanation:
P=LxW
21=3x7
M-N is 
Option B is correct.
Step-by-step explanation:
If
and
then find M-N
We need to subtract N from M
We will combine like terms (terms having same variable and exponent) and then solve them:


So, M-N is 
Option B is correct.
Keywords: Solving Polynomials
Learn more about Solving Polynomials at:
#learnwithBrainly
Since you know the triangles are congruent/equal, you know that:
m∠A and m∠X are congruent and have the same angle, and so does:
m∠B and m∠Y
m∠C and m∠Z
A triangle is 180°. (the 3 angles have to add up to 180) To find m∠B, you can do this:
m∠A + m∠B + m∠C = 180°
21° + m∠B + 35° = 180° Subtract 21 and 35 on both sides
m∠B = 124° your answer is C