Answer:
0.24
Step-by-step explanation:
These events are not mutually exclusive; this means they can happen at the same time.
For two events A and B that are not mutually exclusive,
P(A and B) = P(A) * P(B|A)
Let A be the event "over 21 years old" and B be the event "drinks alcohol".
The probability that a student is over 21 years old is 0.3; this is because 30% of the students are over 21 years old.
The probability that a student drinks alcohol given they are over 21 is 0.8.
This gives us
P(A and B) = 0.3(0.8) = 0.24
Answer:
Step-by-step explanation:
If KM bisects angle NKL, the angle 3 is congruent to angle 4.
We are given that angle 1 is congruent to angle 2, so that means that angle JKP is congruent to angle PKN. By the definition of an angle bisector, we know then that angle NKM is congruent to angle MKL. By the definition of a straight angle formed by opposite rays, all those angles named above add up to equal 180 degrees. So if angle JKN = 8x + 2 and angle MKL = 3x + 5 and angles NKM and MKL are congruent, then angle NKL = 2(3x + 5) which is 6x + 10. Again, if all those angles above add up to equal 180, then
8x + 2 + 6x + 10 = 180 and
14x + 12 = 180 and
14x = 168 so
x = 12.
Angle MKN = 3x + 5 so if x = 12, then
Angle MKN = 3(12) + 5 and
Angle MKN = 41 degrees
Answer:
The final bill will cost $1,250.
Step-by-step explanation:
1000(0.7) = 70
1000(0.18) = 180
1000 + 180 + 70 = 1250
Answer:Obtain a systematic sample by selecting every 20th vehicle that passes (in any lane and going in any direction).
Step-by-step explanation:
