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Liula [17]
3 years ago
7

Simplify (4x+9) - (6x-12)

Mathematics
2 answers:
atroni [7]3 years ago
4 0
The answer to this equation is:
10x-3
melomori [17]3 years ago
4 0

Answer:

−2x + 21

Without parenthesis, the answer would be different.

Step-by-step explanation:

1) Distribute the Negative Sign:

4x + 9 + <em>−1</em>(6x−12)

4x + 9 + <em>−1</em>(6x) + (<em>−1</em>)(−12)

4x + 9 + −6x + 12  

2) Combine Like Terms:

<u>4x</u> + <u><em>9</em></u> + <u>−6x</u> + <u><em>12 </em></u>

(4x + −6x) + (9 + 12)

−2x + 21

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A random sample of 70 printers discovered that 25 of them were being used in small businesses. find the 95% limit for the popula
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Answer:

The sample proportion of printers used in small business is:

\hat{p}=\frac{25}{70}=0.3571

The 95% confidence interval for the population proportion of printers that are used in small businesses is:

\hat{p} \pm z_{\frac{0.05}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n} }

Where:

z_{\frac{0.05}{2}}=1.96 is the critical value at 0.05 significance level

\therefore 0.3571 \pm 1.96 \sqrt{\frac{0.3571(1-0.3571)}{70} }

         0.3571 \pm 0.1122

         \left ( 0.3571 - 0.1122, 0.3571 + 0.1122 \right)

         \left(0.245,0.469 \right)

Therefore, the 95% confidence interval for the population proportion of printers that are used in small businesses is (0.245 , 0.469)



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25 trading cards for 5.25 how do you know it cost less than a $1
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