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3 years ago

Please help!!

Mathematics

1 answer:

zavuch27 [327]3 years ago

6 0

9.12 its a triangle with a circle so it would be 3.14*3

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HOW MANY nibbles ARE IN ONE kilobyte?

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3 years ago

Flow meters are installed in urban sewer systems to measure the flows through the pipes. In dry weatherconditions (no rain) the

ziro4ka [17]

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:

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

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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3 years ago

PLEASE HELP DUE AT 9 AM EST!!!! SHOW HOW YOU GOT YOU ANSWER BY SHOWING YOUR WORK/ SHOW HOW YOU GOT THE ANSWER STEP BY STEP PLS!

Rufina [12.5K]

Answer:

X = 4

Step-by-step explanation:

In the equation add 3 to both sides of the equation

1/2x-3+3=2-3/4x+3

Simplify

1/2x = -3/4x + 5

Add 3/4x to both sides

1/2x + 3/4x = -3/4x + 5 + 3/4x

Simplify

5/4x=5 Multiply both sides by 5

5x=20 divide both sides by 5

5x divided by 5 and 20 divided by 5

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3 years ago

Juanita keeps 25% of the profit from her ice cream shop. If the shop makes $750 per month, how much money will Juanita keep?

Luba_88 [7]

25%=.25
.25*750
Of equals multiply in math
Jaunita keeps 187.5

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