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3 years ago

If ABC is reflected across the y-axis, what are the coordinates of A?

Mathematics

1 answer:

quester [9]3 years ago

4 0

Answer:

The answer is option A

Step-by-step explanation:

Reflection in the y axis is

(x , y) → ( - x , y)

The coordinates of A are ( 2, -5)

When it's reflected in the y axis it becomes

( - 2 , - 5)

Hope this helps you

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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

3 years ago

Answer the following:<br>a) 3x 8 + 2 x 5 =<br>b) 3* (8 + 2)* 5 =

vlada-n [284]

Answer:

a . 34

b. 150

Step-by-step explanation:

in the second case firstly add the number in bracket and multiply both the number given

in 1st case first multiply

then add both the product

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3 years ago

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Which postulate or theorem proves that these two triangles are

kirill115 [55]

Answer:

AAS Congruence Theorem

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3 years ago

Plane B is flying 55mph

zysi [14]

Answer:

It takes around 5s for each plane to travel their respective distances.

Step-by-step explanation:

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3 years ago

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A student makes a $10.50 purchase at the bookstore with a $20 bill. The store has no bills and gives the change in quarters an

Leviafan [203]

Answer: he collected 22 quarters and 8 fifty-cent pieces

Step-by-step explanation:

Given;

The total amount of money he is to collect is;

A = 20 - 10.50 = $9.50

Let x represent the number of quarter he collected.

Then the number of fifty-cent pieces he collected will be; 30-x

Therefore we can represent it with the equation below;

0.25x + 0.50(30-x) = 9.50

0.25x + 15 - 0.50x = 9.50

0.25x = 15-9.50

x = (15-9.50)/0.25

x = 5.50/0.25

x = 22

The number of fifty-cent is equal to;

30-x = 30-22 = 8

Therefore, he collected 22 quarters and 8 fifty-cent pieces

3 0

3 years ago