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3 years ago

8

Find the roots of the polynomial equation x^3+2x^2+3x+6=0

1 answer:

rodikova [14]3 years ago

4 0

Answer: x=−2

Step-by-step explanation:

x^3+2x^2+3x+6=0

(x+2)(x^2+3)=0

x+2=0 or x^2+3=0

x=−2

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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

It takes has a 20 minutes to walk to school . it takes Andre 80% as long to walk to school how long dose it take Andre to walk t

Blizzard [7]

You have to find 80% of 20.
Since 80% is equal to 0.8, you multiply 20 by 0.8 to get 16

7 0

3 years ago

Scientists discovered that a new spider can grow 5 legs every year, on top of the 4 legs it already starts with. Scientists used

Karo-lina-s [1.5K]

Answer:

i think it is S

Step-by-step explanation:

i took the test on k12

5 0

3 years ago

Andrew, Brenda and Cammi all work part-time at a supermarket. Cammi earns $20 more than Andrew

stellarik [79]

Step-by-step explanation:

Let Andrew wage be = X

Cammi earns $20 more than Andrew So Cammi earns = 20 + X

Brenda earns $30 less than twice Andrew's wage

So she earns = 2X - 30

Their total combanied wage is $400

So Andrew + Cammi + Brenda = $400

X + 20+X + 2X-30 =400

4X - 10 =400

4X=400+10

4X=410

X= $102.5

So Andrew earns $102.5

Cammi earns $122.5

Brenda earns $175

4 0

2 years ago

Round 26.32 to the nearest tenths.

Snezhnost [94]

Answer:

26.3

It’s really simple actually

4 0

3 years ago