Answer:
C. 
Step-by-step explanation:
We have been given a triangle. We are asked to find the measure of angle Z using Law of cosines.
Law of cosines:
, where, a, b and c are sides opposite to angles A, B and C respectively.
Upon substituting our given values in law of cosines, we will get:








Now, we will use inverse cosine or arc-cos to solve for angle Z as:



Therefore, the measure of angle Z is approximately 51 degrees.
Answer:
0.853
Step-by-step explanation:
Use conditional probability. The probability of event A, given that event B has occurred, is:
P(A|B) = P(A and B) / P(B)
The probability that it is not raining, given that the flight leaves on time, is:
P(not raining | on time) = P(not raining AND on time) / P(on time)
P(not raining | on time) = 0.81 / (1 − 0.05)
P(not raining | on time) = 0.853
Answer: 13
Step-by-step explanation:
4,7,13,18,32
cross out 4 and 32
7, 13, 18
cross out 7 and 18
13
there is your median