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3 years ago

Factor the expression. 15n−18 Enter your answers in the boxes. ( )

Mathematics

1 answer:

Irina18 [472]3 years ago

5 0

Theyre both divisible by 3
15n-18= 3(5n - 6)

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WILL GIVE BRAINLIEST IF CORRECT!!

vfiekz [6]

Answer:

$\displaystyle y=-0.927x+13.63$

Step-by-step explanation:

<u>Simple Linear Regression </u>

It a function that represents the relationship between two or more variables in a given data set. It uses the method of the least-squares regression line which minimizes the error between the estimate function and the real data.

Let's compute the best-fit line for the data

$x=\{1,5,6,12,15\}$

$y=\{14,11,4,2,1\}$

First, we find the sums

$\displaystyle \sum x=1+5+6+12+15=39$

$\displaystyle \sum y=14+11+4+2+1=32$

Then, we compute the averages values

$\displaystyle \bar{x}=\frac{39}{5}=7.8$

$\displaystyle \bar{y}=\frac{32}{5}=6.4$

We will also compute the sums of the cross-products and the sum of the squares

$\displaystyle \sum xy=(1)(14)+(5)(11)+(6)(4)+(12)(2)+(15)(1)=137$

$\displaystyle \sum x^2=1^2+5^2+6^2+12^2+15^2=1+25+36+144+225$

$\displaystyle \sum x^2=431$

We will compute Sxy and Sxx

$\displaystyle S_{xy}=\sum xy-\frac{\sum x\ \sum y}{n}$

$\displaystyle S_{xy}=137-\frac{(39)(32)}{5}$

$\displaystyle S_{xy}=-117.6$

$\displaystyle S_{xx}=\sum x^2-\frac{(\sum x)^2}{n}$

$\displaystyle S_{xx}=431-\frac{39}{5}^2=126.8$

The slope of the linear regression function is given by

$\displaystyle m=\frac{S_{xy}}{S_{xx}}=\frac{-117.6}{126.8}=-0.927$

The y-intercept ot the linear function is

$\displaystyle b=\bar{y}-b\bar{x}=6.4-(-0.927)(7.8)$

$\displaystyle b=13.63$

Thus the best-fit line is

$\displaystyle y=-0.927x+13.63$

The correct option is the last one

5 0

3 years ago

The ratio of 6 kg to 600 gram is

zloy xaker [14]

Answer:

10:1

Step-by-step explanation:

as 6 kg = 6000g

so 6000g /600g

= 10 : 1. { 10 /1)

7 0

3 years ago

Through (5,1) , slope 4/5

Anettt [7]

Answer:

Step-by-step explanation:

3 0

3 years ago

Convert decimal to fractions 092 =

eduard

92/1000
hope this helps

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3 years ago

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A car drives 120 miles in 2 hours Find the speed

Margarita [4]

Answer:

60 miles per hour

Step-by-step explanation:

Divide 120 miles by 2 hours and you get 60 miles per hour.

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3 years ago

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