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marin [14]
3 years ago
12

A service center receives an average of 0.6 customer complaints per hour. Management's goal is to receive fewer than three compl

aints each hour. Assume the number of complaints follows the Poisson distribution. Determine the probability that exactly four complaints will be received during the next eight hours.
Mathematics
1 answer:
True [87]3 years ago
5 0

Answer:

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

Step-by-step explanation:

We have the mean during a time-period, which means that the Poisson distribution is used to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

A service center receives an average of 0.6 customer complaints per hour.

This means that \mu = 0.6h, in which h is the number of hours.

Determine the probability that exactly four complaints will be received during the next eight hours.

8 hours means that h = 8, \mu = 0.6(8) = 4.8.

The probability is P(X = 4).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 4) = \frac{e^{-4.8}*4.8^{4}}{(4)!} = 0.18203

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

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Jon earns $4 for delivering groceries and $2 for each delivery he makes.
asambeis [7]

Answer:

$14

Step-by-step explanation:

ok so since he is delivering groceries he gets $4.

now when he delivers he get $2 more, so for each house he delivers to he adds $2 to that $4.

so the easiest was to do this is 5x2.

5x2 is 10.

now $10 is how much more he gets on top of the $4, so now we need to add the $4 to the $10.

your answer is $14  

plz mark brainliest!

8 0
2 years ago
Use absolute value notation to represent the distance between x and 8 is no more than 4
ivanzaharov [21]
The distance: use absolute value
Between x and 8: x-8

The distance between x and 8: | x-8 |

“is no more than” means it can be that or be less than that, so use ≤

The distance between x and 8 is no more than 4

| x-8 | ≤ 4
3 0
3 years ago
Write an equation of the line with the given properties. Your answer should be written in standard form.
Vanyuwa [196]

Given:

The slope of the line is m=0.

The line passes through the point P(-9,-3).

To find:

The equation of the line in standard form.

Solution:

Standard form of a line is:

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The slope intercept form of the line is

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It is given that the slope of the line is 3 and it passes through the point (-9,-3), so the equation of the line is

y-(-3)=0(x-(-9))

y+3=0

y=-3

Therefore, the standard form of the given line is y=-3.

7 0
3 years ago
An equilateral triangle has a perimeter of 48 centimeters. If the triangle is dilated by a factor of 0.75, what is the length of
elena55 [62]
The length of each side is 28 cm. 
the perimeter of the equilateral triangle is 48 cm. To find each side of the original triangle, you do 48/3=16cm. since the triangle dilate by 0.75, then you can just do 0.75*16=12cm. then you have to add 12 to 16 because the triangle gets bigger by 12 cm. so 16+12=28 cm.
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3 years ago
Which one of these is not a step used when constructing an inscribed equilateral triangle using technology?
dusya [7]
The third one duhhh, Ik this stuff
6 0
2 years ago
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