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zavuch27 [327]
3 years ago
12

G(x)=-x^2/4 +7 Over which interval does g have a negative average rate of change?

Mathematics
1 answer:
Sholpan [36]3 years ago
4 0

Answer:

x = 49

Step-by-step explanation:

1- Substitute g ( x ) = 0

Reduce

g ( x ) = - x 2/4 + 7

2- Move the variable to the left

0 = - x 1/2 + 7

3- Simplify the equation

x 1/2 = 7

4- Simplify Evaluate

( x 1/2 ) ² = 7²

5- Check the solution

x= 49

6- Simplify

0= - 49 2/4 + 7

7- x = 49 is a solution

0 = 0  

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The EPA wants to know the daily level of pollutant discharge in the manufacturing district in Pittsburgh for February 2005. The
dangina [55]

Answer:

The 95% confidence interval for the true population mean of pollutant discharge is (26.7 tons, 33.7 tons).

Step-by-step explanation:

Let <em>X</em> represent the daily level of pollutant discharge in the manufacturing district in Pittsburgh.

The monitoring equipment reveals that for the 28 days of the February month

Mean daily discharge per factory, (\bar x) = 30.2 tons

Standard deviation daily discharge per factory, (<em>s</em>) = 9.1 tons

Compute the critical value of <em>t</em> for 95% level of confidence and (n - 1 =) 27 degrees of freedom as follows:

t_{0.05/2, 27}=2.052

*Use a t-table.

Compute the 95% confidence interval for the true population mean of pollutant discharge as follows:

CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\frac{s}{\sqrt{n}}

     =30.2\pm 2.052\times\frac{9.1}{\sqrt{28}}\\\\=30.2\pm 3.53\\\\=(26.67, 33.73)\\\\\approx (26.7, 33.7)

Thus, the 95% confidence interval for the true population mean of pollutant discharge is (26.7 tons, 33.7 tons).

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3 years ago
Hiiiii, good morning world!!!!!!!! :)
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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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I hope this helps!! :) Have a lovely day!!!

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