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2 years ago

I need help if anyone could help me would appreciate it

Mathematics

1 answer:

Andrews [41]2 years ago

3 0

Answer:

16.2

Step-by-step explanation:

Tan(angle)=opposite/ adjacent

Angle= 45

Opposite side= x

Adjacent side =10

Substitute into equation: tan(45) = x/ 10

Rearrange (multiply each side by 10): 10 x tan(45) = x

Then work it out on calculator

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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

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GaryK [48]

Explanation
: the answer is m=f

8 0

3 years ago

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Can someone please help

kicyunya [14]

Answer:

hardd sorry

Step-by-step explanation:>..

7 0

3 years ago

13x+15=11x-25 5t-5=5t+7 Please show steps for both Thank you

Tanzania [10]

I hope this helps you

13x-11x=-25-15

2x=-40

x=-20

5t-5t=7+5

0=12 false

3 0

3 years ago

What is the volume of the cone? Use 3.14 for π and round to the nearest hundreth.

Mazyrski [523]

Answer:

The volume of given cone is 602.88 cube units

Step-by-step explanation:

Formula:

Volume of cone, V = πr²h

r - Radius of cone

h - height of cone

To find the volume

Here, r = 4 and h = 12

Volume V = πr²h

V = 3.14 *4²*12

V = 3.14*4*4*12

Volume V = 602.88

Therefore the volume of given cone is 602.88 cube units

4 0

3 years ago

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