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TEA [102]
3 years ago
13

A grocery store only sells eggs by the dozen.There are 12 eggs in one dozen eggs.If there are 624 eggs in stock how many dozens

of eggs are there
Mathematics
1 answer:
Ratling [72]3 years ago
3 0
Work:

624 divided by 12 equals 52

answer:

52 dozens
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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

4 0
3 years ago
What is the answer to the question
LenKa [72]
2x = 18
--------------------
 x = 18 : 2 =
x = 9
-------------------
(2*9 : 3) + 1 = 7
6 + 1 = 7
5 0
3 years ago
In the figure, angle D measures 45° and angle E measures 87°. What is the measurement of angle H?
scZoUnD [109]
Hat means y + z = 180. 

<span>y is thrice than z means y = 3 * z. </span>

<span>replace y with 3 * z in the equation of y + z = 180 to get 3 * z + z = 180. </span>

<span>combine like terms to get 4 * z = 180. </span>

<span>solve for z to get z = 180 / 4 = 45 degrees. </span>

<span>since y = 3 * z, then y = 3 * 45 = 135 degrees. </span>

y = 135
<span>z = 45 </span>

y + z = 180 becomes 135 + 45 = 180
<span>y = 3 * z = 135 = 3 *45 </span>

<span>solution is confirmed to be good.</span>
3 0
3 years ago
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Who walks at a faster rate: someone who walks 60ft in 10sec or someone who walks 42ft in 6sec
julia-pushkina [17]

Answer:

42 ft in 6 seconds

Step-by-step explanation:

The person whom walks a greater distance in lees time is faster

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Which value represents a percentage between 11 and 17
Lisa [10]

Step-by-step explanation:

more information needed

4 0
2 years ago
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