Answer:
This is trigonomentry
Use SOHCAHTOA
where :
s is sin
c is cos
t is tan
o is opposite (side)
h is hypotenuse (opposite of 90 degree angle)
and a is adjacent (side)
Sin = o/h
cos = a/h
tan = o/a
in this case we are looking for side BC which is the hypotenuse(h)
and we have the side adjacent(a) to angle 71
since we have a and h determine what to use SIN, COS, OR TAN?
we should use Cos
they‘ve given the angle so we should do this...
Cos71 =
Cos71 =
now apply algebra...
6.3/cos71= BC
BC= 19.3507869666
BC = 19.4 (3SF)
Answer:
0.0821
Step-by-step explanation:
If the arrival rate is 50 customers per hour (60 minutes), then the expected number of customers in 3 minutes is:
Assuming a Poisson distribution with 2.5 customers per 3 minutes, the probability that zero customers arrive for 3 minutes is:
The probability that the bank stays empty for three minutes is 0.0821.
Answer: D) 0.733.
Step-by-step explanation:
Let C denotes the number of employees having college degree and S denote the number of employees are single.
We are given ,
Total = 600 , n(C)=400 , n(S)=100 , n(C∩S)=60
Then,
Now, the probability that an employee of the company is single or has a college degree is
Hence, the probability that an employee of the company is single or has a college degree is 0.733
Answer : 424.875 miles
The problem states that Brian can travel ‘27.5’ miles per gallon, and his tank can only hold ‘15.45’ gallons of fuel.
To find the miles he can travel, all you have to do is multiply the miles he can travel per gallon (27.5) by the gallons he has in the tank (15.45).
This gives you the answer of 424.875 miles.