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ExtremeBDS [4]
3 years ago
6

With an average service rate of 15 customers per hour and an average customer arrival rate of 12 customers per hour, calculate t

he probability that actual service time will be less than or equal to five minutes.
Mathematics
1 answer:
RUDIKE [14]3 years ago
3 0

Answer:

probability that actual service time will be less than or equal to five minutes = P(X <= 5) = 1 - e-15(5/60) = 0.714 or 71.4%

Step-by-step explanation:

The identification of  the average arrival rate of customers(v) and the average service rate(u) must be done in order to solve this kind of problem .

In this case, on average, 12 customers arrive each hour. On average, the service rate is 15 customers per hour.

The arrival rate follows the exponential distribution.

probability that actual service time will be less than or equal to 't' minutes P(X <= t) = 1 - e-u(t/60)

probability that actual service time will be less than or equal to five minutes = P(X <= 5) = 1 - e-15(5/60) = 0.714 or 71.4%

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I need help with this
Stells [14]

Answer:

AB = 21

Step-by-step explanation:

So we have two triangles (AEB and ADC), and they're similar by AA

Now, you can find the ratio of similitude by checking AE/AD which is 14/26 = 7/13

AB/AC = 7/13

Take AB as x aight

x/x+18 = 7/13

x=21

5 0
2 years ago
The measure of a supplement of an angle is 40 more than two times the measure of the complement of the angle. find the measure o
saul85 [17]
 2 angle A and B are Complementary means that the sum of their measures is 90°. 

 2 angle A and B are Supplementary means that the sum of their measures is 180°. 


Thus, if the measure of angle A is x:

the measure of the supplement is 180°-x
the measure of the complement is 90°-x


"The measure of a supplement of an angle is 40 more than two times the measure of the complement of the angle. "

let the measure of the angle be x, then we have:

180°-x=40°+2(90°-x)

180°-x=40°+180°-2x

2x-x=40°

x=40°


Answer: 40°
6 0
3 years ago
The dot plots below show the number of points scored by Sam and Daniel in 15 basketball games.
Bas_tet [7]

Answer:

B.

Step-by-step explanation:

Sam median = 12 which has 3 points scored.

Daniel median = 16 which has 3 points scored.

Both scored the same amount of data which is 3 points.

Both the ranges are 16. so it cant be A or C.

3 0
2 years ago
If there os 150 capacity and 36 os used what os the remaining percentage
Veseljchak [2.6K]
150 - 36 = 114 os remaining;
114/150 = 0,76 (as a decimal) = 76% (as a percentage);
6 0
2 years ago
Which number line represents the solutions to 1-2x1 = 4?
kaheart [24]

Answer:

Third option: x = -2 and x = 2

Step-by-step explanation:

Given:

|-2x|=4

For a modulus function, if |f(x)|=a, then,

f(x)=\pm a

Here, f(x)=-2x, a=4

∴ -2x=\pm 4\\ -2x=-4\textrm{ or } -2x=4\\ x=\frac{-4}{-2}\textrm{ or }x=\frac{4}{-2}\\ x= 2\textrm{ or }x=-2

Therefore, the third option is the correct answer as the graph has x values as -2 and 2

8 0
3 years ago
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