Answer:
the probability that no customer will arrive in the next 6 minutes = 0.36788 = 0.368
Step-by-step explanation:
If there are 10 customers per hour, this translates to 1 customer per 6 minutes
So, if there's a mean of 1 customer per 6 minutes, to obtain the probability that no customer will come in a 6 minute interval, this becomes a Poisson distribution problem.
The Poisson distribution formula is given by
P(X = x) = (e^-λ)(λˣ)/x!
where λ = mean = 1 customer per 6 minutes
x = 0 customer per 6 minutes
P(X=0) = (e⁻¹)(1⁰)/0! = 0.36788 = 0.368
Option B: 4.0 cm is the value of w
Explanation:
It is given that
,
,
and 
Using the law of sines, we have,

Substituting the values, we have,

Cross multiplying, we get,

Simplifying, we have,

Dividing both sides by 0.515, we have,

Thus, the value of w is 4.0 cm
Hence, Option B is the correct answer.
It’s negative by the looks of it.
If you solve it you get -2.5
I hope it’s correct!
You have to use the Pythagorean theorem a squared plus b squared is c squared so 13 squared plus 18 squared equals c squared. 13x13=169 18x18=324 169+324=493 so c squared is 493 to get c you square root 493 which equals 22.2 so the diagonal, c, is 22.2 centimeters long