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nikitadnepr [17]
3 years ago
15

in 2013 the population of detroit was 743,204. The population of the city of detroit in the year 1970 was 688,701 greater than i

n 2013. what was the population of detroit in 1970?
Mathematics
2 answers:
irina [24]3 years ago
7 0
1 431 905
Just add them together
NikAS [45]3 years ago
4 0
743,204 + 688,701 = 1431905

The population of Detroit in 1970 was 1,431,905.
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An economist is studying the job market in Denver area neighborhoods. Let x represent the total number of jobs in a given neighb
Troyanec [42]

Answer:

The sample correlation coefficient is, <em>r</em> = 0.8722.

The equation of the least-squares line is:

y= -0.161+0.154x

Step-by-step explanation:

(a)

The scatter diagram displaying the data for <em>X </em>: total number of jobs in a given neighborhood and <em>Y</em> : number of entry-level jobs in the same neighborhood is shown below.

(b)

The table attached below verifies the values of \sum X,\ \sum Y,\ \sum X^{2},\ \sum Y^{2}\ \text{and}\ \sum XY.

The sample correlation coefficient is:

\begin{aligned}r~&=~\frac{n\cdot\sum{XY} - \sum{X}\cdot\sum{Y}}         {\sqrt{\left[n \sum{X^2}-\left(\sum{X}\right)^2\right] \cdot \left[n \sum{Y^2}-\left(\sum{Y}\right)^2\right]}} \\r~&=~\frac{ 6 \cdot 1163 - 201 \cdot 30 }         {\sqrt{\left[ 6 \cdot 7759 - 201^2 \right] \cdot \left[ 6 \cdot 182 - 30^2 \right] }} \approx 0.8722\end{aligned}

Thus, the sample correlation coefficient is, <em>r</em> = 0.8722.

(c)

The slope and intercept are:

\begin{aligned}        a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 30 \cdot 7759 - 201 \cdot 1163}{ 6 \cdot 7759 - 201^2} \approx -0.161 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 6 \cdot 1163 - 201 \cdot 30 }{ 6 \cdot 7759 - \left( 201 \right)^2} \approx 0.154\end{aligned}

The equation of the least-squares line is:

y= -0.161+0.154x

(d)

The least-squares line is graphed in the diagram below.

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3 years ago
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mixas84 [53]

Answer:

14

Step-by-step explanation:

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goldfiish [28.3K]
304 seconds
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5 0
4 years ago
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If the box holds 24 of these sugar cubes,what is the total volume of the box?
mylen [45]

Answer:

V_{box}=3u^{3}

Step-by-step explanation:

The complete question is

<em>If the box holds 24 of these sugar cubes what is the total volume of the box.</em>

<em>The sugar cubes are 1/2 x 1/2 x 1/2</em>

<em />

The total volume of the box would be the volume of each sugar cube multiplied by 24, because the box is formed by those 24 sugar cube.

The volume of one sugar cube

V_{cube}=\frac{1}{2}\times \frac{1}{2} \times \frac{1}{2}=\frac{1}{8}  u^{3}

We have 24 of them, so the volume of the whole box is

V_{box}=24\frac{1}{8}u^{3}\\ V_{box}=3u^{3}

Therefore, the volume of the box is

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5 0
3 years ago
Last year, a small manufacturing company netted a profit of $540,000. The net profit increased this year by 135%. What is the ne
maks197457 [2]
940,000 is your answer
You have to divide 135 from 540,000 and then multiply 100. Which is 400,000.
540,000+400,000=940,000.
If it’s not that, I’m sorry

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3 years ago
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