A vending machine that serves coffee pours a varying

Oxnard Casualty wants to ensure that their e-mail server has 99.98 percent reliability. They will use several independent server

sattari [20]

Answer:

The smallest number of servers required is 3 servers

Explanation:

Given

$Reliability = 99.98\%$

$Individual Servers = 95\%$

Required

Minimum number of servers needed

Let p represent the probability that a server is reliable and the probability that it wont be reliable be represented with q

Such that

$p = 95\%\\$

It should be noted that probabilities always add up to 1;

So,

$p + q = 1$ '

Subtract p from both sides

$p - p + q = 1 - p$

$q = 1 - p$

Substitute $p = 95\%\\$

$q = 1 - 95\%$

Convert % to fraction

$q = 1 - \frac{95}{100}$

Convert fraction to decimal

$q = 1 - 0.95$

$q = 0.05$

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To get an expression for one server

The probabilities of 1 servers having 99.98% reliability is as follows;

$p = 99.98\%$

Recall that probabilities always add up to 1;

So,

$p + q = 1$

Subtract q from both sides

$p + q - q = 1 - q$

$p = 1 - q$

So,

$p = 1 - q = 99.98\%$

$1 - q = 99.98\%$

Let the number of servers be represented with n

The above expression becomes

$1 - q^n = 99.98\%$

Convert percent to fraction

$1 - q^n = \frac{9998}{10000}$

Convert fraction to decimal

$1 - q^n = 0.9998$

Add $q^n$ to both sides

$1 - q^n + q^n= 0.9998 + q^n$

$1 = 0.9998 + q^n$

Subtract 0.9998 from both sides

$1 - 0.9998 = 0.9998 - 0.9998 + q^n$

$1 - 0.9998 = q^n$

$0.0002 = q^n$

Recall that $q = 0.05$

So, the expression becomes

$0.0002 = 0.05^n$

Take Log of both sides

$Log(0.0002) = Log(0.05^n)$

From laws of logarithm $Loga^b = bLoga$

So,

$Log(0.0002) = Log(0.05^n)$ becomes

$Log(0.0002) = nLog(0.05)$

Divide both sides by $Log0.05$

$\frac{Log(0.0002)}{Log(0.05)} = \frac{nLog(0.05)}{Log(0.05)}$

$\frac{Log(0.0002)}{Log(0.05)} = n$

$n = \frac{Log(0.0002)}{Log(0.05)}$

$n = \frac{-3.69897000434}{-1.30102999566}$

$n = 2.84310893421$

$n = 3 (Approximated)$

Hence, the smallest number of servers required is 3 servers

6 0

3 years ago

Apakah ada yang bisa menjelaskan potongan source code ini?

GarryVolchara [31]

This code attempts to fuse two strings together. So,

fuse("Apple", "Banana")

would return "ABpapnlaen a"

However, there are a couple of things wrong with this code:

- The for loop is incomplete (probably a copy paste error)

- It is unclear from the code if the array jawaban will overflow if kata1 and kata2 are large (it probably will)

- Biggest problem: the jawaban array is declared on the stack, which means it will be cleaned up when the function returns. So the caller of this function will reference unallocated memory! This is a huge bug!!

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Find the total cost of a $125 coat purchased in Los Angeles County where the sales tax is 9%. Use the expression c + 0.09c

Keith_Richards [23]

The answer is B I believe

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True or false: Sony is the company behind the creation of the ‘Super Mario Bros.' franchise.

Volgvan

False. It was Nintendo behind the creation of Super Mario Bros.

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You need to fax a portion of a map from a large hard-cover atlas to a client from an internal fax-modem. To fax the map, the bes

Kay [80]

The fax modem is used to send and receive fax messages by only having phone line (fax machine is not required). The scanned documents should be saved as digital file (image or PDF format) in order to be sent. So, in order to send a portion of a map you should first convert the map into digital file and than simply send it through the fax modem. The best way to convert it to a digital file is to use an optical character recognition (OCR).

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