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3 years ago

PLEASEEE HELPPPPPP!!!!!!!!!! LMN and PQR are shown below. Which statement is true?

Mathematics

1 answer:

zysi [14]3 years ago

5 0

Answer:

Step-by-step explanation:

We already know 2 angles of each triangle, so we can find the third angle

The third angle of LMN = 180 - 115 - 21 = 54
The third angle of PQR = 180 - 21 - 49 = 110

So, the 3 angles of each triangle are not similar to each other
And there are no information about the sides.

So, I think the safest option is to go with "there's not enough information to determine whether they are similar or not."

But, the 3 sides of LMN by normal vision is longer than PQR, so you can also go with LMN is not similar to PQR.

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At a recent county fair, you observed that at one stand people's weight was forecasted, and were surprised by the accuracy (with

MatroZZZ [7]

Answer:

a)Slope: $\hat \beta_1 =\frac{7625.9}{1248.9}=6.106$

Intercept: $\hat \beta_o = 157.955 -6.106 (69.686)=-267.548$

b) $r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657$

And the determination coeffecient is $r^2 = 0.657^2 =0.432$

Step-by-step explanation:

Data given and definitions

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.

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.

n=110, $\sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8$

$\sum Y_i =17375 , \sum X_i = 7665.5$

Part a

The slope is given by this formula:

$\hat \beta_1 =\frac{\sum (x-\bar x) (y-\bar y)}{\sum (x-\bar x )^2}$

If we replace we got:

$\hat \beta_1 =\frac{7625.9}{1248.9}=6.106$

We can find the intercept with the following formula

$\hat \beta_o = \bar y -\hat \beta_1 \bar x$

We can find the average for x and y like this:

$\bar X=7665.5/110 =69.686, \bar y= 17375/110=157.955$

And replacing we got:

$\hat \beta_o = 157.955 -6.106 (69.686)=-267.548$

Part b

In order to calculate the correlation coefficient we can use this formula:

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

For our case we have this:

n=110, $\sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8$

So we can find the correlation coefficient replacing like this:

$r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657$

And the determination coeffecient is $r^2 = 0.657^2 =0.432$

6 0

4 years ago

What is the difference between -12 and -5

mr Goodwill [35]

-17..,,.,,,,/((/(/(/)/)

5 0

4 years ago

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Amy volunteers at an animal shelter. She worked 10 hours in March, 14 hours in April, 18 hours in May, and 22 hours in June.

Zielflug [23.3K]

Answer:

46 hours

Step-by-step explanation:

the pattern is for the hours to increase by 4.

so,july=26

august=30

september=34

october=38

november=42

december=46

hope this helps

plz can i get brainliest:)

4 0

3 years ago

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Find last year's salary if, after a 4% pay raise, this year's salary is $36,920.

Leokris [45]

Multiply .04 and $36,920... Giving you $1,476.80 as the amount for the 4% raise. Subtract the raise from this year's salary giving you $35,443.20

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4 years ago

X-2y=4 x-2y=5 how many solutions does these equations have

cupoosta [38]

Answer:

No solutions

Step-by-step explanation:

Rewrite x-2y=4 x-2y=5 in column form:

x-2y=4

x-2y=5

Because both equations have x - 2y on the left and different constants on the right, we know immediately that there is no solution. These two lines are parallel and different; they never cross.

6 0

4 years ago