Answer:
Step-by-step explanation:
Given that 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
P(A) = 0.18
The probability of receiving both scholarships is 0.11.
P(AM) = 0.11
The probability of getting at least one of the scholarships is 0.3.
P(AUM) = 0.3
i.e. P(AUM) =P(A)+P(M)-P(AM) = 0.3
0.18+P(M)-0.11 = 0.3
P(M) = 0.41-0.18 = 0.23
a) the probability that you will receive a Merit scholarship=0.23
b) P(AB) not equals 0
Hence A and B are not mutually exclusive
c) P(AM) = 0.11 and P(A)*P(M) = 0.23*0.18 not equals 0.11
Hence not independent
d) P(A/M) = P(AM)/P(M) = 0.11/0.23 =0.4783
The answer is (1, -3) ! hope this helps
Answer:
4
Step-by-step explanation:
Find the least common multiple of those two denominators, which would be 2 and 4.
Then do LCM of 2 and 4 and that should be 4.
If LllM then consecutive interior angles should be supplementary
x-5+2x+5=180
x+2x=180
3x=180
x=60
Answer:x=60