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mars1129 [50]
2 years ago
14

Solve for h.........

Mathematics
1 answer:
Musya8 [376]2 years ago
8 0

Answer:

C

Step-by-step explanation:

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The accompanying data on x = current density (mA/cm2) and y = rate of deposition (m/min)μ appeared in a recent study.
gtnhenbr [62]

Answer:

a) r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857  

The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables

b) m=\frac{64.5}{2000}=0.03225  

Now we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50  

\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425  

b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27  

So the line would be given by:  

y=0.3225 x -0.27  

Step-by-step explanation:

Part a

The correlation coeffcient is given by this formula:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have this:

n=4 \sum x = 200, \sum y = 5.37, \sum xy = 333, \sum x^2 =12000, \sum y^2 =9.3501  

r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857  

The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables

Part b

m=\frac{S_{xy}}{S_{xx}}  

Where:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=12000-\frac{200^2}{4}=2000  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=333-\frac{200*5.37}{4}=64.5  

And the slope would be:  

m=\frac{64.5}{2000}=0.03225  

Now we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50  

\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425  

And we can find the intercept using this:  

b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27  

So the line would be given by:  

y=0.3225 x -0.27  

4 0
3 years ago
Round 38.49 to the nearest whole number
AnnyKZ [126]
38. The nearest whole number to 38.49 is 38 because at .5 you begin rounding up to the nearest whole number.

8 0
3 years ago
Jeff said that his city got 11/3 inches of snow. Write this fraction as a mixed number
labwork [276]

Answer: 11/3 as a mixed number is 3 2/3

8 0
3 years ago
Read 2 more answers
Which points are on the line that connects points (0, 4) and (1, 2)? Select all that apply.
AVprozaik [17]
The points that connect (0,4) and (1,2) are B, E and F. Please mark Brainliest and Hope this Helps
7 0
3 years ago
How do I solve this problem ?
Nonamiya [84]

Answer:

$19.99 for each cartridge.

Step-by-step explanation:

For this problem, we are finding the cost of the three printer cartridges. Since the problem says that the tax was 5.95, we can subtract that from 90.91.

90.91-5.95=

84.96

Next, since we know that the software package was 24.99, we can subtract that from 84.96.

84.96-24.99=

59.97

Finally, since there are three printer cartridges, we can divide 59.97 by 3, and get our answer.

59.97/3=

19.99

Each printer cartridge would cost $19.99.

Hope this helps and have a good day! :D

8 0
1 year ago
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