Answer:
The probability that a student arriving at the ATM will have to wait is 67%.
Step-by-step explanation:
This can be solved using the queueing theory models.
We have a mean rate of arrival of:
We have a service rate of:
The probability that a student arriving at the ATM will have to wait is equal to 1 minus the probability of having 0 students in the ATM (idle ATM).
Then, the probability that a student arriving at the ATM will have to wait is equal to the utilization rate of the ATM.
The last can be calculated as:
Then, the probability that a student arriving at the ATM will have to wait is 67%.
Let the first integer be x; then the second is x+1.
The product of x and x+1 is x(x+1), and this product must equal 1295.
Thus, x^2 + x = 1295, or x^2 + x - 1295 = 0
Solve for x by completing the square:
x^2 + x + (1/2)^2 - (1/2)^2 - 1295 = 0
(x-1/2)^2 - 1/4 - 1295 = 0, or (x-1/2)^2 -5181/4 = 0,
Thus, x-1/2 = sqrt(5181/4), and so
x = 1/2+sqrt(5181/4) = 25.45
This could NOT be correct, since x and x+1 are CONSECUTIVE INTEGERS.
CHECK to ensure that you have copied down this problem correctly.
$2 / 0.3 = $6.67
Check:
$6.67 * 0.3 = $2 :)
Answer:
.75cm³
Step-by-step explanation:
To find the volume of a shape like this it is,
base×height×width.
In this case it is .5×.5×3=.75cm³
Answer:
0.83
Step-by-step explanation:
