Answer:
1. c
2. f
3. d
Step-by-step explanation:
This type of queuing model is an example of "single-channel, single-phase" process.
However, from the information given:
The inter-arrival rate = 10 customers per hour
Arrival time = 6 minutes
Service time = 5 minutes
∴
utilization = service time/arrival time
= 5/6
Time on queue 



Thus, customer waiting in the queue line is;

Thus, new customers will have to wait in a total time of;
= waiting time + service time
= 90 + 5
= 95 minutes.
Answer:
How far should he ride on each of the four days to reach his goal?
1st day:
miles
2nd day:
miles
3rd day:
miles
4th day:
miles
Step-by-step explanation: As the problem says,
is the number of miles he rides on the first day. Let's start off with that.
1st day:
miles
He want to ride 1.5 times as far as he rode the day before... no 1.5 more, but 1.5 <em>times</em> as far as he rode the day before; you would multiply 1.5 with the previous day's length.
2nd day: 
Then you multiply
to
to get the third day's.
3rd day: 
4th day: 
----------------------------
Phew! Gavin wants to ride a total of 65 miles over these four days, so if Gavin added all the miles of the four days, he should get 65...
1st+2nd+3rd+4th=65




Yes! Now that we've got the hard part done... substitute 8 for ever single
.
1st day:
miles
2nd day:
miles
3rd day:
miles
4th day:
miles
-------------------------
Checking my answer:
Just add the miles!


✓
-----------------------
Hope that helps! :D
Answer:
x = 10.8
Step-by-step explanation:
We can use the law of sines to solve this problem
sin A sin B
--------- = ----------
a b
sin 81 sin 40
--------- = ---------
x 7
Using cross products
7 sin 81 = x sin 40
Solving for x
7 sin 81 / sin 40 =x
x=10.75599
Rounding to 1 decimal place
x = 10.8