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Flauer [41]
3 years ago
12

Which of the following is equivalent to 8 × 8/6?

Mathematics
1 answer:
Slav-nsk [51]3 years ago
3 0

Answer:

A. 8\times \frac{8}{6}

Step-by-step explanation:

We want to find an expression that is equivalent to \frac{8\times 8}{6}

This expression can be rewritten as:

\frac{8}{1}\times \frac{8}{6}

This expression is also the same as:

8\times \frac{8}{6}

Form the given option, the only correct expression is

A. 8\times \frac{8}{6}

Option B is not correct because:

\frac{8\times 8}{8\times 6}=\frac{8}{6}

C is also not equivalent because:

\frac{8+8}{8+6}=\frac{16}{14}

D is not equivalent because:

8+\frac{8}{6}=8\frac{8}{6}

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Ruben bought 6 new books for his collection. This increased his collection by 12%. How many books did he have before his purchas
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Answer:  The required number of books that Ruben had before purchases is 50.

Step-by-step explanation:  Given that Ruben bought 6 new books for his collection that increased his collection by 12%.

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Let x denotes the number of books that Ruben had before purchases.

Then, according to the given information, we have

x+6=x+12\%\times x\\\\\\\Rightarrow 6=\dfrac{12}{100}x\\\\\\\Rightarrow 6=\dfrac{3x}{25}\\\\\\\Rightarrow 3x=150\\\\\Rightarrow x=\dfrac{150}{3}\\\\\Rightarrow x=50.

Thus, the required number of books that Ruben had before purchases is 50.

4 0
3 years ago
A machining operation produces bearings with diameters that are normally distributed with mean 3.0005 inches and standard deviat
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Answer:

5%

Step-by-step explanation:

The 68-95-99.7 rule for the Normal distribution is an empirical rule that remind us the percentages of data that falls between the mean ± 1, ± 2 and ± 3 standard deviations.

That is to say, if the mean is m and the standard deviation s, roughly speaking 68% of the data falls between  [m-s, m+s], 95% between [m-2s, m+2s] and 99.7% between [m-3s, m+3s].

Since the mean is 3.0005 and the standard deviation is s=0.0010, 2s=0.0020, 95% of the data should fall between [3.0005-0.0020, 3.0005+0.0020] and 5% outside this interval. So <em>around 5% of total production will be scrap</em>.

 

7 0
3 years ago
I need help please!
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Answer:

  f(g(x)) = 2/(x^2 +4x)

Step-by-step explanation:

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3 0
2 years ago
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