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natulia [17]
3 years ago
9

There are 500 computers in an office building. The IT manager randomly chose 40 computers to be inspected for viruses. Of those

inspected, 6 computers had viruses. What is the best estimate of the percent of computers in the building that have viruses?
Mathematics
2 answers:
Aleksandr [31]3 years ago
4 0

Answer:

The correct answer is 15%

Source: Just took quiz and got it correct


lilavasa [31]3 years ago
3 0

Answer:

15 %

<em>This is the correct answer! I just took the test! Good luck!!!</em>

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How to differentiate ?
Bas_tet [7]

Use the power, product, and chain rules:

y = x^2 (3x-1)^3

• product rule

\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm d(x^2)}{\mathrm dx}\times(3x-1)^3 + x^2\times\dfrac{\mathrm d(3x-1)^3}{\mathrm dx}

• power rule for the first term, and power/chain rules for the second term:

\dfrac{\mathrm dy}{\mathrm dx} = 2x\times(3x-1)^3 + x^2\times3(x-1)^2\times\dfrac{\mathrm d(3x-1)}{\mathrm dx}

• power rule

\dfrac{\mathrm dy}{\mathrm dx} = 2x\times(3x-1)^3 + x^2\times3(3x-1)^2\times3

Now simplify.

\dfrac{\mathrm dy}{\mathrm dx} = 2x(3x-1)^3 + 9x^2(3x-1)^2 \\\\ \dfrac{\mathrm dy}{\mathrm dx} = x(3x-1)^2 \times (2(3x-1) + 9x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = x(3x-1)^2(15x-2)}

You could also use logarithmic differentiation, which involves taking logarithms of both sides and differentiating with the chain rule.

On the right side, the logarithm of a product can be expanded as a sum of logarithms. Then use other properties of logarithms to simplify

\ln(y) = \ln\left(x^2(3x-1)^3\right) \\\\ \ln(y) =  \ln\left(x^2\right) + \ln\left((3x-1)^3\right) \\\\ \ln(y) = 2\ln(x) + 3\ln(3x-1)

Differentiate both sides and you end up with the same derivative:

\dfrac1y\dfrac{\mathrm dy}{\mathrm dx} = \dfrac2x + \dfrac9{3x-1} \\\\ \dfrac1y\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{15x-2}{x(3x-1)} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \dfrac{15x-2}{x(3x-1)} \times x^2(3x-1)^3 \\\\ \dfrac{\mathrm dy}{\mathrm dx} = x(15x-2)(3x-1)^2

7 0
2 years ago
Jackie has a square wall that she covered using 130.5 square feet of fabric without any overlap . Whic measurement is closest to
dem82 [27]

Answer:

32.625

Step-by-step explanation:

a square has all equal side so u divieded the amount of she used by 4

5 0
3 years ago
*select all that apply
Stels [109]
The answer to the question is the first, third and fifth
4 0
3 years ago
If a=4b^2 and b=-1/2e^2, what is the value of a to the nearest tenth?
Maru [420]
To answer, it is assumed that e here is the Euler number which is equal to 2.718. Substitute this value to the e of the second equation to get the value of b.
                                 b = 0.5(2.718^2)  = 3.6945
Then, we substitute this value to the first equation to get the value of a.
                                        a = 4(3.6945^2) = 54.498
Thus, the answer is approximately equal to 54.5. 
3 0
3 years ago
Find the length of the third side to the nearest tenth.<br> Hurry need help asap!!
gavmur [86]

Answer:

2.8

Step-by-step explanation:

6 0
3 years ago
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