Assume you have applied for two scholarships, a Merit scholarship (M) and an Athletic scholarship (A). The probability that you receive an Athletic scholarship is 0.18. The probability of receiving both scholarships is 0.11. The probability of getting at least one of the scholarships is 0.3. Let M denote the event that you will receive a Merit scholarship. Let A denote the event that you will receive an Athletic scholarship. Answer questions 11-15. What is the probability that you will receive a Merit scholarship

The probability of obtaining a Merit Scholarship = 0.23

Step-by-step explanation:

From the given information:

The probability of obtaining a merit scholarship P(A) = 0.18

The probability of obtaining both P(A ∩ M) = 0.11

The probability of getting at least one P(A ∪ M)  = 0.3

The objective is to determine the probability of obtaining a Merit Scholarship.

So, as given:

if M represents Merit Scholarship and A represent Athletic Scholarship,

the probability of obtaining a Merit Scholarship is as follows;

P(M) = P(A ∪ M) + P(A ∩ M) - P(A)

P(M) = 0.3 + 0.11 - 0.18 = 0.23

P(M) = 0.23

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

your answer is the frist one

hop i