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2 years ago

Factor −1/2 out of −1/2x+6. The factored expression is

Mathematics

1 answer:

frosja888 [35]2 years ago

3 0

Answer:

-1/2(x-12)

Step-by-step explanation:

-1/2x+6=-1/2(x-12)

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A crew is picking up chairs in the gymnasium after an event. After clearing 68 chairs from

saw5 [17]

Answer:

68+14=c c=82

Step-by-step explanation:

just add 68 and 14 to get the answer 82

4 0

3 years ago

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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

2 years ago

IB/AP Mathematice: Logorithms

Anuta_ua [19.1K]

1. 5^2 = 25
2. 2^6 = 64
3. 25^(1/2) =5

8 0

3 years ago

Greg and Heather each opened a savings account today. Greg opened his account with a starting amount of $330, and he is going to

cluponka [151]

Set up two equations:

Greg = 330 + 75X

Heather = 660 + 45x

Set them to equal and solve for x:

330 + 75x = 660 + 45x

Subtract 330 from both sides:

75x = 330 + 45x

Subtract 45x from both sides:

30x = 330

Divide both sides by 30:

x = 330 / 30

X = 11

11 months they will have the same amount saved.

6 0

2 years ago

Log(4) 5 + log (4) ? =log(4) 35

kolezko [41]

Step-by-step explanation:

logwjqjqjhajqjqjsjwjqjqjqjnqnqnqnqnqnqnqnq

3 0

2 years ago

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