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marshall27 [118]
4 years ago
11

1. Over the past year, a university’s computer system has been struck by a virus at an average rate of 0.4 viruses per week. The

university’s information technology managers estimate that each time a virus occurs, it costs the university $1000 to remove the virus and repair the damages it has caused. Assuming a Poisson distribution, what is the probability that the university will have the good fortune of being virus-free during the upcoming week? During this same week, what is the expected amount of money that the university will have to spend for virus removal and repair?
Mathematics
1 answer:
Marrrta [24]4 years ago
5 0

Answer:

Step-by-step explanation:

Since 0.4virus occurs per week and it cost the university $1000 to remove one virus.

There next week we expect to 0.4 virus and cost required will be =0.4×$1000. this will amount to $400

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Anon25 [30]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

f\left(x\right)=\sqrt{x^3-16x}

We know that the domain of the function is the set of input or arguments for which the function is real and defined.  

In other words,  

  • Domain refers to all the possible sets of input values on the x-axis.

Now, determine non-negative values for radicals so that we can sort out the domain values for which the function can be defined.

x^3-16x\ge 0

as x³ - 16x ≥ 0

\left(x+4\right)\left(x-4\right)\ge \:0

Thus, identifying the intervals:

-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4

Thus,

The domain of the function f(x) is:

x\left(x+4\right)\left(x-4\right)\ge \:0\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4\:\\ \:\mathrm{Interval\:Notation:}&\:\left[-4,\:0\right]\cup \:[4,\:\infty \:)\end{bmatrix}

And the Least Value of the domain is -4.

3 0
3 years ago
Match the reasons with the statements in the proof.
Len [333]

Observe the given figure.

Given: m \angle 1 = m \angle 3, m \angle 2 = m \angle 3

To prove: l \parallel m

Statement                                                      

1.  m \angle 1 = m \angle 3, m \angle 2 = m \angle 3

Reason: Given

2. m \angle 1 = m \angle 2

Reason: Substitution

3. \angle 1,\angle 2 are alternate interior angles.

Reason: Definition of alternate interior angles

4. l \parallel m

Reason: If alternate interior angles are equal, then the lines are parallel.

7 0
4 years ago
Read 2 more answers
45% into a fraction simplest form
Aliun [14]
9/20

45% is 0.45. To switch into a fraction you do 45 over 100, simplified is 9/20.
5 0
3 years ago
Answers plsssssssss I’m dumb and stupid
VLD [36.1K]

1. 34 * 87= 238
2. 65 * 79 = 585 + 4550= 5135
3. 96 * 24= 384+1920=2304
4. 82*68=656+4920=5576
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8 0
3 years ago
I know the answer but I need to understand HOW to get it. Bailey will roll a number cube and flip a coin for a probability exper
alexdok [17]

Answer:

Total output= H5, H6,T5, T6

Step-by-step explanation:

Bailey will roll a number cube and flip a coin for a probability experiment.

The faces of the cube are labeled 1-6= 6 possible outcomes

The coin can land on heads or tails= 2 possible outcomes

If Bailey rolls the number cube once= 1 output

and flips the coin once = 1 output

Total output will be combined outcome of cube and coin:

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Total output =possible combined outcome of cube and coin= H1, H2, H3 , H4 , H5, H6, T1, T2, T3 , T4 , T5, T6

Now

the outcomes in which the number cube lands on a number greater than :

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therefore removing H1, H2, H3 , H4 and T1, T2, T3 , T4 from the total outcome will result in following list:

Total output= H5, H6,T5, T6 i.e.

5, Heads

5, Tails

6, Heads

6, Tails !

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4 years ago
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