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umka2103 [35]
2 years ago
12

2(3 + 4x) = 8x + 6 How Many solutions?

Mathematics
2 answers:
Agata [3.3K]2 years ago
7 0
<h3>sry if im wrong...</h3>

Step-by-step explanation:

2(3 + 4x) = 8x + 6

rerange terms-

2(3+4x)= 8x+6

2(4x+3)= 8x+6

distribute-

2(4x+3)= 8x+6

8x+6=8x+6

subtract 6 from both sides of the equation-

8x=8x

subtract 8x from both sides of the equation-

8x=8x

8x-8x=8x-8x

simplify-

0=0

result-

0=0

the input is an identity: it is true for all values

Mrrafil [7]2 years ago
4 0

Answer:

Infinite number of solutions

Step-by-step explanation:

2(3 + 4x) = 8x + 6\\6 + 8x = 8x+6\\8x-8x=6-6\\0=0

For any value of x, both equations are equal to each other because both sides are identical

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A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 9.8
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Answer:

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.575\frac{2.4}{\sqrt{955}} = 0.2

The lower end of the interval is the sample mean subtracted by M. So it is 9.8 - 0.2 = 9.6 reproductions per hour.

The upper end of the interval is the sample mean added to M. So it is 9.8 + 0.2 = 10 reproductions per hour.

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

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