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3 years ago

Which supreme court case was the first to address the second amendment

Mathematics

1 answer:

faust18 [17]3 years ago

6 0

Answer:

In its 2008 decision in District of Columbia v. Heller, the Supreme Court held for the first time that the Second Amendment protects an individual right to bear arms.

Hope this helps :)

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In a study relating the degree of warping, in mm, of a copper plate (y) to temperature in °C (x), the following summary statisti

kipiarov [429]

Answer:

The error sum of squares is SSE=12.97

The regression sum of squares is SSR=6.430

The total sum of squares is SST=19.4

Step-by-step explanation:

Linear regression is a way "to modeling the relationship between a scalar response (or dependent variable) and one or more explanatory variables (or independent variables)".

Regression estimates are "used to describe data and to explain the relationship between one dependent variable and one or more independent variables"

The linear model is given by the following equation $Y=mx +b$ , where y is the dependent variable, x the independent variable, m the slope and b the intercept.

For this case we have the following info given:

$\sum_{i=1}^n (x_i -\bar x)^2 =98775$

$\sum_{i=1}^n (y_i -\bar y)^2 =19.4$

$\bar x =26.36$

$\bar y =0.5188$

n= 40 represent the sample size

$\sum_{i=1}^n (x_i -\bar x)(y_i -\bar y) =796.94$

The total sum of squares is given by this formula:

$SST= \sum_{i=1}^n (y_i -\bar y)^2 =19.4$

And from the formulas for a simple regression, we need to calculate the slope for the regression like this:

$m=\frac{\sum_{i=1}^n (x_i -\bar x)(y_i -\bar y)}{\sum_{i=1}^n (x_i -\bar x)^2}$

And if we replace the values given we have:

$m=\frac{796.94}{98775}=0.008068$

We have another useful equation in order to find the sum of squares for the regression, given by:

$SSR=m* \sum_{i=1}^n (x_i -\bar x)(y_i -\bar y)=0.008068*796.94=6.430$

And we know this equivalence:

$SST= SSR+SSE$

And solving for the sum of squares for the error we have:

$SSE=SST-SSR=19.4-6.430=12.97$

So then we have the final solutions:

The error sum of squares is SSE=12.97

The regression sum of squares is SSR=6.430

The total sum of squares is SST=19.4

6 0

3 years ago

(Multiple Choice, 20 pts)

ivanzaharov [21]

Answer:

x = -3, x = 0 is a extraneous solution

Step-by-step explanation:

Step 1: Cross-multiply

3x² = 4x² + 3x

Step 2: Isolate <em>x</em>'s

0 = x² + 3x

Step 3: Factor

0 = x(x + 3)

Step 4: Find roots

x = 0, -3

Step 5: Double check work

Plug in both to see if they both work. Only x = 0 should be extraneous. We now have our answer!

3 0

3 years ago

Round 0.971 to the nearest tenth

Flura [38]

Answer:

1.0

Step-by-step explanation:

You are rounding to the nearest tenth, so you should have only 2 places remaining (0.0). So, you look to the 7 to change the 9. 7 is bigger than 5, so you round 9 up. Since 9 plus 1 equals 10, the final answer is 1.0.

Hope this helps! :)

5 0

4 years ago

Read 2 more answers

From 95 books to 116 books

nekit [7.7K]

Answer:

21 books were added

Hope I helped,

PumpkinSpice1

☼♥☼♥☼♥☼♥☼

7 0

3 years ago

What is the answer to:<br> 18 - 5z + 6z > 3 + 6

miv72 [106K]

18 - 5z + 6z > 3 + 6
18 + z > 9
-18 -18
z > -9

3 0

3 years ago

Which supreme court case was the first to address the second amendment​

Which supreme court case was the first to address the second amendment