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3 years ago

What is the 1st term when 1 + 6x2 + 5x4 + 3x3 is arranged in descending order? 1 6x2 5x4 3x3

Mathematics

2 answers:

Aloiza [94]3 years ago

7 0

Descending order...
5x^4 + 3x^3 + 6x^2 + 1...first term is 5x^4

ella [17]3 years ago

7 0

Answer:

the first term is $5x^4$

Step-by-step explanation:

We have been given the polynomial $1+6x^2+5x^4+3x^3$

Arrange this polynomial in descending order. In other words we arrange this polynomial having exponent from greatest to smallest.

Exponents from descending order is given by

4, 3, 2, 0

So, the polynomial when arranged in descending order is given by

$5x^4+3x^3+6x^2+1$

Therefore, the first term is $5x^4$

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The least-squares regression model y =−3.4+5.2x and correlation coefficient r=−0.66 were calculated for a set of bivariate data

Makovka662 [10]

Answer:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For this case the value of r = -0.66

Now we can calculate the determination coeffcient:

$r^2 = (-0.66)^2 = 0.4356$

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable

Step-by-step explanation:

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

$\bar x= \frac{\sum x_i}{n}$

$\bar y= \frac{\sum y_i}{n}$

And we can find the intercept using this:

$b=\bar y -m \bar x$

And the model obtained for this case is:

$y = -3.4 +5.2 x$

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.

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 this case the value of r = -0.66

Now we can calculate the determination coeffcient:

$r^2 = (-0.66)^2 = 0.4356$

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable

8 0

3 years ago

Pls help, I really need this answer!!!!

podryga [215]

If you think about it, an octagon is made up of 8 triangles. So you first find the area of one triangle then multiply it by 8 for the total area:
A=1/2bh
A=1/2(9.9)(12)
A=59.4

59.4 x 8= 475.2

Therefore the total area for the octagon should be 475.2 units^2

Hope this helps !

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3 years ago

Suppose Johnny invests $41,745 into an account, which has been earning interest for many years and he now has a total of $39,974

cupoosta [38]

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timurjin [86]

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Westkost [7]

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So now you are left with

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