Answer:
P(F | C) = 0.96
Step-by-step explanation:
Hi!
This is a problem on conditional probability. Lets call:
C = { cloudy day }
F = { foggy day }
Then F ∩ C = { cloudy and foggy day }
You are asked for P(F | C), the probability of a day being foggy given it is cloudy. By definition:
And the data you have is:
Then: P(F | C) = 0.96
Answer:
Step-by-step explanation:
1). Since, both the angles are vertically opposite angles,
Measure of both the angles will be same.
6x = 30
x = 5
2). Since, both the angles are the linear pair of angles,
(4 + 5x)° + (x + 2)° = 180°
6x + 6 = 180
6x = 180 - 6
x =
x = 29
Therefore, (4 + 5x)° = 4 + 5(29)
= 149°
And (x + 2)° = (29 + 2)
= 31°
3). Since, both the angles are linear pair of angles,
5x° + (3x + 12)° = 180°
8x + 12 = 180
8x = 180 - 12
x =
x = 21
Therefore, 5x° = 5(21)
= 105°
(3x + 12)° = 3(21) + 12
= 75°