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Leto [7]
3 years ago
5

A rectangle is 1/2 feet long and 3/4 feet wide.

Mathematics
2 answers:
Darina [25.2K]3 years ago
5 0

Answer:

Area: 54in^2

perimeter: 2.5 feet (30 inches)

Step-by-step explanation:

To find perimeter, add up all of the sides. Since we have both the height and width, multiply the height by 2 and width by 2, and add them.

1/2ft(2)+3/4ft(2)=1+1.5

The perimeter is 2.5ft, or 30 inches.

To find area, we will need to convert the feet into inches. (or else we get a decimal less than 1)

1/2feet=6in

3/4feet=9in

Multiply width times height to get area

6in times 9in=54in^2

Hope this helps!

Eddi Din [679]3 years ago
3 0

Im not sure what you are asking is there another part to the question.

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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:  

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Step-by-step explanation:

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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}  

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

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m=\frac{64.5}{2000}=0.03225  

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\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  

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