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Rudiy27
3 years ago
8

Can you guys show me the proper steps for this ?

Mathematics
1 answer:
malfutka [58]3 years ago
5 0

Answer:

C+11/c+9

Step-by-step explanation:

3c+33/3c+18 = c+11 / c+6

C^2+17c +66 = (c+6)(c+11)

C^2 +20c+99 = (c+11)(c+9)

So the given question becomes

{C+11/c+6} {(c+6)(c+11)/(c+11)(c+9)}

= c+11 /c+9

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3 years ago
The physical plant at the main campus of a large state university receives daily requests to replace fluorescent light bulbs. Th
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We have been given that the distribution of the number of daily requests is bell-shaped and has a mean of 38 and a standard deviation of 6. We are asked to find the approximate percentage of lightbulb replacement requests numbering between 38 and 56.

First of all, we will find z-score corresponding to 38 and 56.

z=\frac{x-\mu}{\sigma}

z=\frac{38-38}{6}=\frac{0}{6}=0

Now we will find z-score corresponding to 56.

z=\frac{56-38}{6}=\frac{18}{6}=3

We know that according to Empirical rule approximately 68% data lies with-in standard deviation of mean, approximately 95% data lies within 2 standard deviation of mean and approximately 99.7% data lies within 3 standard deviation of mean that is -3\sigma\text{ to }3\sigma.

We can see that data point 38 is at mean as it's z-score is 0 and z-score of 56 is 3. This means that 56 is 3 standard deviation above mean.

We know that mean is at center of normal distribution curve. So to find percentage of data points 3 SD above mean, we will divide 99.7% by 2.

\frac{99.7\%}{2}=49.85\%

Therefore, approximately 49.85\% of lightbulb replacement requests numbering between 38 and 56.

6 0
3 years ago
Complete the statement. Is 2.09 greater than or less than 2.1
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Answer:

2.09 is less than 2.1

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2.1 is the same as 2.10

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