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2 years ago

Find the perimeter and area of a rectangle of cardboard measuring 15.9 cm by 11.7cm

Mathematics

1 answer:

IRISSAK [1]2 years ago

4 0

The area is 186.03. lw = 15.9(11.7) = 186.03

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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

2 years ago

A middle school counselor randomly sampled students about their favorite subjects. Suppose an 8th grade student from the school

NISA [10]

Answer: B

Step-by-step explanation:

68 divided by 204 gives you 0.33 so round to nearest tenth and and go to 0.31 and then convert to percent and you have 31%

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3 years ago

What is the mean? If the answer is a decimal, round it to the nearest tenth.

Vlad1618 [11]

Answer:

7.3

Step-by-step explanation:

7+9+7+9+15+0+1+13+11+1=73

There are 10 numbers.

73/10=7.3

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3 years ago

Read 2 more answers

Estimate the sum of 890 + 201.

Nonamiya [84]

Answer: 1091

Step-by-step explanation: add the numbers

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3 years ago

When solving an absolute value inequality, the fact of whether it is a "greater than/greater than or equal to" as opposed to "le

Alex73 [517]

It is true hopes this helps you

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3 years ago