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3 years ago

Solve for x: −2(x + 3) = −2(x + 1) − 4. 2 3 All real numbers No solution

Mathematics

2 answers:

Viktor [21]3 years ago

4 0

Answer: All real numbers

Step-by-step explanation:

−2(x + 3) = −2(x + 1) − 4

-2x -6 = -2x -2 -4

-2x -6 = -2x -6

-2x = -2x

joja [24]3 years ago

3 0

Answer:

Not 100% sure but I believe it's c) All Real Numbers

Step-by-step explanation:

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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

Which equation could be used to find the length of the hypotenuse?

damaskus [11]

c^ 2 = a^2 + b^2

given a = 2 and b = 5

c^2 = 2^2 + 5^2

2^2 + 5^2 = c^2

answer is the first one

2^2 + 5^2 = c^2

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3 years ago

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Simplify the expression.<br> 0.24 – 1.6

lukranit [14]

Answer:

Step-by-step explanation:

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3 years ago

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Solve the whole problem i give brainliest please help me.

gladu [14]

Answer:

165 is greater than or equal to 17.75x+5.25; 9 is greater than or equal to x

Step-by-step explanation:

The problem states that they have no more than $165. This means that they either use all the money, or they have leftover money, which means you need to use the 'greater than or equal to' sign. It says that tickets are $17.75 a person, and we're trying to find the number of people (x). You can write this as 17.75x. There is also a parking fee to add on to the equation, which is represented as +5.25. Now, we can solve!

I'm going to use an equal sign to replace the inequality symbol, but make sure to add the symbol at the end of the problem.

165=17.75x+5.25

159.75=17.75x

9=x

Our final answer is 9 is greater than or equal to x. Hope this helps!

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2 years ago

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Helpppp please !!! i’ll give brainliest

Over [174]

Answer:

109.5

Step-by-step explanation:

4 sides equals 360 degrees. 360 minus 96 and 45 is 219. divide 219 by 2 and boom theres your answer.

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3 years ago