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Lerok [7]
3 years ago
10

On the number line above, points J, K, L, and M are integers, and JK:KL:KM = 2:1:3. What is the value of KM? number line shown b

elow

Mathematics
1 answer:
Rama09 [41]3 years ago
3 0

Answer:

<h2>F. 12</h2>

Step-by-step explanation:

The distance between A and M i.e JM = M - J = 5-(-19)

JM = 5+19

JM = 24

If JK:KL:KM = 2:1:3

The total ratio = 2+1+3

Total ratio = 6

Dividing each length based on ratio

length JK = 2/6 * JM

JK = 1/3 * 24

JK = 8

length KL = 1/6 * JM

KL = 1/6 * 24

KL = 4

length KM = 3/6 * JM

KM = 1/2 * 24

KM = 12

<em>Hence the value of KM is 12</em>

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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
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TEA [102]

Answer:

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Step-by-step explanation:

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v =  πr²h

given that

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6 0
3 years ago
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kvv77 [185]
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8 0
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kolbaska11 [484]

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Step-by-step explanation:

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