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Amanda [17]
3 years ago
10

According to Internet security experts, approximately 90% of all e-mail messages are spam (unsolicited commercial e-mail), while

the remaining 10% are legitimate. A system administrator wishes to see if the same percentages hold true for the e-mail traffic on her servers. She randomly selects e-mail messages and checks to see whether or not each one is legitimate. (Unless otherwise specified, round all probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 0.1234444 or 12.34%.) Assuming that 90% of the messages on these servers are also spam, compute the probability that the first legitimate e-mail she finds is the fifth message she checks:
Mathematics
1 answer:
KonstantinChe [14]3 years ago
3 0

Answer:

0.0656

Step-by-step explanation:

For each message, we have these following probabilities:

90% probability it is spam.

10% probability it is legitimate.

Compute the probability that the first legitimate e-mail she finds is the fifth message she checks:

The first four all spam, each with a 90% probability.

The fifth legitimate, with a 10% probability.

P = (0.9)^{4} \times 0.1 = 0.0656

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fiasKO [112]

Answer:

B. Faelyn should realize that her work shows that the polynomial is prime

Step-by-step explanation:

The polynomial 6x⁴ – 8x² + 3x² + 4 needs to be factored and the steps are:

Step 1: (6x⁴ – 8x²) + (3x² + 4)

Step 2: 2x²(3x² – 4) + 1(3x² + 4)

Since they do not have a common factor, Faelyn should realize that her work shows that the polynomial is prime. A prime polynomial cannot be factored further because it is at its lowest common term and cannot be factored into any other polynomial of a lower degree. Prime polynomials have integer coefficients. A prime polynomial is also referred to as an irreducible polynomial.

6 0
3 years ago
Which of the following is equivalent to 3_-900 ?
pashok25 [27]
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4 0
3 years ago
Find the number of ways to listen to four CDs from a selection of 8 CDs. A) 1680 B) 336 C) 70 D) 50 pls aslo explain why..
777dan777 [17]

Answer:

a) 1680

<em>The number of ways to listen to four CDs from a selection of 8 CDs = 1680</em>

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given data the number of CD' s n = 8

<em>We have to selected '4' CD' s  from total '8' CD's</em>

<em>By using permutations </em>

<em>The number of ways to listen to four CDs from a selection of 8 CDs.</em>

<em>                          =     </em>8_{P_{4} }<em> </em>

<em>  we know that </em>

           n_{P_{r} } = \frac{n!}{(n-r)!}

          8_{P_{4} } = \frac{8!}{(8-4)!} = \frac{8 X 7 X 6 x 5 X 4!}{4!} = 1680

<em>The number of ways to listen to four CDs from a selection of 8 CDs = 1680</em>

7 0
3 years ago
What is the answer to 7b-15=5b-3
Sidana [21]
First you move -15 over which makes it 7b=5b+12
then you move 5b over so then its 2b=12
divide b=6
7 0
3 years ago
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1 and 2 are complementary angles. 1 and 3 are vertical angles. If
Marizza181 [45]

If angle 1 and angle 2 are <u>complementary, </u>then they add up to 90 degrees. We are given that angle 2 equals 52 degrees.

So we subtract and get our answer:

38

That's NOT the final answer.

The next step is:

Angle 1 and angle 3 are vertical angles.

Vertical angles are congruent.

So if angle 1 is 38, then angle 3 is also 38.

Now, supplementary angles add up to 180 degrees.

So that's the answer:

180-38=142

142 is the supplement of angle 3.

Hope it helps! :)

Answered by

***ROSALIND***

8 0
2 years ago
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