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lys-0071 [83]
3 years ago
7

Use the circumference of 18.84 to find the radius. Use the radius to find the area of the circle.

Mathematics
1 answer:
lora16 [44]3 years ago
4 0

Answer:

9.42

Step-by-step explanation:

The radius is always half of the circumference. So u would do 18.84 divided by 2.

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The number of motor vehicles registered in millions in the US has grown as follows:
zysi [14]

Answer:

a) Figure attached

b) 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=10 \sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274  

r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.819)^2][10(192.8274) -(43.5231)^2]}}=0.989  

So then the correlation coefficient would be r =0.989

Step-by-step explanation:

Previous concepts

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

Solution to the problem

Part a

Year (x): 1940, 1945 1950, 1955, 1960, 1965, 1970, 1975, 1980, 1985

Vehicles (Y): 32.4, 31.0, 49.2, 62.7, 73.9, 90.4, 108.4, 132.9, 155.8, 171.7

After apply natural log for the two variables and create the scatterplot in excel we got the following result on the figure attached.

Part b

And in order to calculate the correlation coefficient we can use 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=10 \sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274  

r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.81948)^2][10(192.8274) -(43.5231)^2]}}=0.989  

So then the correlation coefficient would be r =0.989

4 0
3 years ago
Plz help I will give Brainlyest plz help fast
Sophie [7]

Answer:

b

Step-by-step explanation:

8 0
3 years ago
HELP ME PLEASE !!!!!!!!
fredd [130]

Answer:

AB = 14

DE =7

Step-by-step explanation:

Remark

<em>AB</em>

Opposite sides of a parallelogram are equal.

AB = CD

AB = 14

<em>DE</em>

According to the diagram AE = 19

AD = 26 which is the same size as BC

DE = 26 - 19 = 7

DE = 7

4 0
3 years ago
Please Help, this is 20pts worth it.. Please Don’t waste my points.. please help..
evablogger [386]

Answer:

1. 7+62+5+4

2. 18+62+5

3.15+4+1

4.5 families

6. three

Step-by-step explanation:

7 0
3 years ago
Domain and Range for this equation? F(x)= 3x^7+0x^6-0x^5-2x^4-3x^3-2x^2-x^1+x^0
sp2606 [1]
The domain is equal all real numbers
D=\mathbb{R}

The degrees of the polynomial is odd (3x^7, 7 is odd), therefore the range is equal all real numbers

R=\mathbb{R}
8 0
3 years ago
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