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lianna [129]
2 years ago
6

Solve for x. 10x + 44 8x - 23

Mathematics
2 answers:
meriva2 years ago
5 0

Answer:

Simplifying

10x + 44 = 8X + -23

Reorder the terms:

44 + 10x = 8X + -23

Reorder the terms:

44 + 10x = -23 + 8X

Solving

44 + 10x = -23 + 8X

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-44' to each side of the equation.

44 + -44 + 10x = -23 + -44 + 8X

Combine like terms: 44 + -44 = 0

0 + 10x = -23 + -44 + 8X

10x = -23 + -44 + 8X

Combine like terms: -23 + -44 = -67

10x = -67 + 8X

Divide each side by '10'.

x = -6.7 + 0.8X

Simplifying

x = -6.7 + 0.8XStep-by-step explanation:

koban [17]2 years ago
3 0
You need an answer to get x. like it needs to be

10x+44=100 or something in order to find x
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Answer:

a) \frac{(8)(30.23)^2}{20.09} \leq \sigma^2 \leq \frac{(8)(30.23)^2}{1.65}

363.90 \leq \sigma^2 \leq 4430.80

Now we just take square root on both sides of the interval and we got:

19.08 \leq \sigma \leq 66.56

b) For this case we are 98% confidence that the true deviation for the population of interest is between 19.08 and 66.56

Step-by-step explanation:

423.6, 487.3, 453.2, 402.9, 483.0, 477.7, 442.3, 418.4, 459.0

Part a

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

On this case we need to find the sample standard deviation with the following formula:

s=sqrt{\frac{\sum_{i=1}^8 (x_i -\bar x)^2}{n-1}}&#10;And in order to find the sample mean we just need to use this formula:&#10;[tex]\bar x =\frac{\sum_{i=1}^n x_i}{n}

The sample deviation for this case is s=30.23

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

df=n-1=9-1=8

The Confidence interval is 0.98 or 98%, the value of \alpha=0.02 and \alpha/2 =0.01, and the critical values are:

\chi^2_{\alpha/2}=20.09

\chi^2_{1- \alpha/2}=1.65

And replacing into the formula for the interval we got:

\frac{(8)(30.23)^2}{20.09} \leq \sigma^2 \leq \frac{(8)(30.23)^2}{1.65}

363.90 \leq \sigma^2 \leq 4430.80

Now we just take square root on both sides of the interval and we got:

19.08 \leq \sigma \leq 66.56

Part b

For this case we are 98% confidence that the true deviation for the population of interest is between 19.08 and 66.56

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