Answer:
0.35
Step-by-step explanation:
we know that
The formula to use for uniform distribution is equal to
where,
b is the upper limit of the distribution which is 5 minutes in this case.
a is the lower limit of the distribution which is 0 minutes in this case.
x is the concerned value which is 1.75 minutes in this case.
substitute the given values
That means
The probability that a randomly selected passenger has a waiting time less than 1.75 minutes is 0.35
Answer:
B. m∠B = 118°, a = 17, c = 18
Step-by-step explanation:
The answer choices all agree on the values of ∠B and c, so we only need to compute the value of side a.
We can verify angle B is ...
∠B = 180° -30° -32° = 118°
By the law of sines, ...
a/sin(A) = b/sin(B)
Multiplying by sin(A), we get ...
a = b·sin(A)/sin(B) = 30·sin(30°)/sin(118°) ≈ 16.98855
a ≈ 17.0 . . . units . . . . . matches choice B
__
If you like, you can also verify side c:
c = b·sin(C)/sin(B) = 30·sin(32°)/sin(118°) ≈ 18.00512
c ≈ 18.0 . . . units
