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olga_2 [115]
2 years ago
6

A web server hosting company advertises 99.999 percent guaranteed network uptime. (a) how many independent network servers would

be needed if each has 97 percent reliability? (round your answer up to the nearest whole number.) network servers (b) how many independent network servers would be needed if each has 88 percent reliability? (round your answer up to the nearest whole number.)
Mathematics
1 answer:
miv72 [106K]2 years ago
4 0
The solution for this problem would be:
Given that there is 99.999%.

Let denote n as the network servers and p as the reliability of each server.
So the probability that the network uptime = 1 - (1 - p)^n

Therefore, (1-p) ^n = 0.00001


a. x= log(1-.99999)÷log(1-.97)= 3.2833 is the answer


1-(1-.97)^3= 0.99999 + 0.0001 = 1


b. x = log(1-.99999)÷log(1-.88) = 5.43 is the answer


1-(1-.88)^3= 0.99 + 0.0001 = approx 1
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A new DVD is available for sale in a store one week after its release. The cumulative revenue,
ratelena [41]

Answer:

f(2) = $180.22

f'(2) = $130.00/week

f'(2)/f(2) = 72.13%

Two weeks after the DVD was released,  the revenue from sales is $180.22 and is increasing at a rate of $130 per week,  or 72.13% per week.

Step-by-step explanation:

The revenue from sales, in dollars, as a function of time, in weeks, is given by:

f(t)=260ln(t)

After two weeks (t=2), the revenue from sales is:

f(2)=260ln(2)\\f(2) = \$180.22

The rate of change, which is given by the derivate of the revenue function, at t = 2 weeks is:

f'(t)=\frac{d}{dt} 260ln(t)\\f'(t) = \frac{260}{t}\\f'(2) = \frac{260}{2}=\$130.00/week

The relative rate of change is:

\frac{f'(2)}{f(2)}=\frac{130}{180.22}=0.7213=72.13\%

Therefore, Two weeks after the DVD was released,  the revenue from sales is $180.22 and is increasing at a rate of $130 per week,  or 72.13% per week.

5 0
3 years ago
70 = -7 k solve the equations
wolverine [178]

Answer:

-10

Step-by-step explanation:

70= -7k

70 -7k

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Have a great day

4 0
3 years ago
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Please help me understand how to work out these types of equations?
Mademuasel [1]
Answer:
115.2 other solutions is 576/5, 115 1/5
Step by step explanation:
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5 0
2 years ago
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seraphim [82]

Answer:

15s=350+100

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s=450/15

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Hope it helps:-)

3 0
3 years ago
Patrick has a 600-meter skein of yarn. He used 248.9 meters of yarn to make a hat. Does he have enough yarn to make an scarf tha
Masja [62]

Patrick has a total of 600 meters skein of yarn.

He used 248.9 meters of yarn to make a hat.

Now, If he has used 248.9 meters of yarn, we need to find how much yarn has he left.

We need to subtract the amount of yarn used from the total length. That is, 248.9 from 600.

600-248.9=351.1

So, now Patrick has left 351.1 meters of yarn.

Patrick needs to make a scarf that needs 354.03 meters of yarn but after making a hat he has left with only 351.1 meters of yarn. Therefore, Patrick does not have enough yarn to make a scarf.

6 0
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