5√18
= 5 *√9 *√2
= 5*3*<span>√2
= 15</span><span>√2</span>
Answer:
1244/999
Step-by-step explanation:
So we have 1.245245245245.... which we call x.
If we times this by 1000 (because 3 digits repeat) we get
1000x = 1245.245245245....
Subtract x from both sides:
999x = 1245.245245245... - 1.245245... = 1244
This means that x = 1244/999
This fraction cannot be simplified so this is the answer.
If you want to include the 1 in the repeating (1.2451245...) do the same but the sequence is 4 digits so times by 10000 instead.
<span>A
and B must be invertible, we have UA=B, since A is invertible. A^-1 exists, by multiplying with A^-1,
we have UA A^-1 =B A^-1. But AA^-1 = I (identity matrix)
and XI=X, for all matrix X, we find UI= B A^-1, and U= B A^-1.</span>
Set it up as an equation. "A number" is x.
2x-2=x+64
Move all of the x terms to one side by subtracting x from both sides, then add 2 to both sides to isolate x.
X=66
The number is 66
Answer:
The average number of customers in the system is 3.2
Step-by-step explanation:
The average number of customes in the system is given by:
In which
is the number of arirvals per time period
is the average number of people being served per period.
The number of arrivals is modeled by the Poisson distribution, while the service time is modeled by the exponential distribution.
Customers arrive at the stand at the rate of 28 per hour
This means that 
Service times are exponentially distributed with a service rate of 35 customers per hour.
This means that 
. So
The average number of customers in the system (i.e., waiting and being served) is
The average number of customers in the system is 3.2
