Answer:
Option b that is 1.33 is the right choice.
Step-by-step explanation:
Given:
Mean rate of arrival = 8 planes/hr
Service time = minute/plane
Mean service rate = = planes/hr
Applying the concept Poisson-distributed arrival and service rates (exponential inter-arrival and service times)(M/M/1) process:
We have to find mean number of planes waiting to land that is mean number of customers in the queue .
Mean number of customers in queue .
⇒
Considering, , is also mean number of customers in service.
⇒
⇒ Plugging the values.
⇒
⇒
⇒
So,
Mean number of planes in holding and waiting to land = 1.33
You can identify that "5 over 100" can be written as a fraction. 5 will be the numerator and 100 will be the denominator:
To reduce this fraction, you need to divide the numerator and the denominator by the Greatest Common Factor (GCF) between them.
In this case, to find the GCF, you need to:
- Decompose the number into their Prime Factors:
- Notice that 5 is a common factor. Then, you need to choose the one with the lowest exponent:
Therefore, by dividing the numerator and the denominator by 5, you get:
Hence, the answer is:
Where are the statements?
Answer:
x = 9
Step-by-step explanation:
<em>Theorem:</em>
<em>The measure of an exterior angle of triangle equals the sum of the measures of its two remote interior angles.</em>
The angle measuring 12x + 14 is an exterior angle of the triangle.
The angles measuring 76 deg and 1 + 5x are its remote interior angles.
12x + 14 = 1 + 5x + 76
12x + 14 = 5x + 77
7x = 63
x = 9
Answer: 1/6
Step-by-step explanation: To find the probability of rolling a 4, let's use our ratio for the probability of an event which is shown below.
Number of favorable outcomes/total number of outcomes
Since only one side of a number cube has a 4 on it, the number of favorable outcomes for rolling a 4 is 1 and since there are six sides to a number cube and it's equally likely that the cube will land on any of these sides, the total number of outcomes is 6.
So the probability of rolling a 4 is 1/6 which is equivalent
to 0.167 or 16.7%.
That means it is't likely that you would roll a 4 for instance but it's just as likely as rolling any other number.