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Ganezh [65]
3 years ago
10

The service time distribution describes the probability P that the service time of the customer will be no more than T hours. If

m is the mean number of customers serviced in an hour, then P=1-e^mt

Mathematics
1 answer:
Molodets [167]3 years ago
7 0

Answer: option d.

Step-by-step explanation:

You have the following formul given in the problem:

p=1-e^{-mt}

You know that:

The number of  customers serviced in an hour by the technical support representative is 6 costumbers, therefore:

m=6

As the problem asked for the probability that  a costumber will be on hold less than 30 minutes, we know that:

t=0.5

Substitute the values above into the formula.

Then, you obtain:

p=1-e^{-(6)(0.5)}=0.95 or 95%

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Isaac has a piece of rope that 5 yards long. Into how many 1/2 - yard pieces of rope isaac can cut?
Trava [24]

Answer:

10

Step-by-step explanation:

So there are 5 pieces of rope, if you cut them all in half then that would double the number.

7 0
3 years ago
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A map show a town with an area of 3.5 inches.If the map has a scale of 1 inch:4 miles,what is the actual area of the town?
cestrela7 [59]

Answer:

The actual area of the town is 14 miles.

Step-by-step explanation:

Since you know that the scale is 1 inch:4 miles and that the map shows a town with an area of 3.5 inches, you can expressed this as follows:

Scale: 1 inch:4 miles

map area: 3.5 inches

If the actual area is x, you can say that:

3.5:x=1:4

This would be:

\frac{3.5}{x}=\frac{1}{4}

Now, you can solve for x:

x=(3.5*4)/1

x=14

According to this, the answer is that the actual area of the town is 14 miles.

7 0
3 years ago
I need help please ​
devlian [24]
I am pretty sure its B (minimum at -1, -4) because that would be were the first point would be at. The Graphing of this equation would be a "upside down u" shape.
4 0
3 years ago
What is the slope of a line perpendicular to line AB when point A is (3,-4) point B is (-5,1).
Veronika [31]
Slope = (1 + 4) / (-5 -3) = 5/-8 = -5/8

answer
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5 0
3 years ago
1) You are designing a new kiddie soccer arena. The area of the rectangular
nikdorinn [45]

Answer:

The length of the rectangular field is 12 ft and the width is 5 ft.

Step-by-step explanation:

The area of a rectangle is:

\text{Area} = \text{length}\times \text{width}

The area of a rectangular field is, <em>A</em> = 60 ft.

The length of the field is:

l = w + 7

Compute the width of the field as follows:

\text{Area} = \text{length}\times \text{width}

60=(w+7)\times w\\\\60=w^{2}+7w\\\\w^{2}+7w-60=0\\

Factorize the last equation by splitting the middle term as follows:

w^{2}+7w-60=0\\w^{2}+12w-5w-60=0\\w(w+12)-5(w+12)=0\\(w-5)(w+12)=0

Now, since the width of rectangular field cannot be negative, the width is 5 ft.

Compute the length as follows:

l = w + 7

 = 5 + 7

 = 12

The length of the rectangular field is 12 ft.

7 0
3 years ago
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