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Oksi-84 [34.3K]
3 years ago
5

What is -2(a+b)= -2a - 2b

Mathematics
1 answer:
exis [7]3 years ago
7 0

Answer:

-2(a+b)=-2a-2b  

Equation is alway true

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -2*(a+b)-(-2*a-2*b)=0  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (0 -  2 • (a + b)) -  (-2a - 2b)  = 0  

Step  2  :

Equation at the end of step  2  :

 0  = 0  

Step  3  :

Equations which are always true :

3.1    Solve   0  = 0This equation is a tautology (Something which is always true)

Equation is alway true

Step-by-step explanation:

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Please help me worth 30 points!!
kotykmax [81]

Answer:

900 square feet

Step-by-step explanation:

5 0
2 years ago
The manager of a bookstore wants to predict Sales from Number of Sales People Working using the accompanying data set. What is t
NemiM [27]

Answer:

n=5 \sum x = 103, \sum y = 177, \sum xy= 2088, \sum x^2 =1379, \sum y^2 =3359  

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]}}

r=\frac{10(2088)-(103)(177)}{\sqrt{[10(1379) -(103)^2][10(3359) -(177)^2]}}=0.9877

So then the correlation coefficient would be r =0.9877

And the determination coefficient for this case would be:

r^2 = 0.9877^2 = 0.9757 = 97.57 \%

And the correct option for this case would be:

A. The value of Upper R squared is 97.57​%, which is the percentage of variance in Sales that can be accounted for by the regression of Sales on Number of Sales People working.

Step-by-step explanation:

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.

For this case we have the following data:

N. sal. peop.  work.            Sales (in $1000)

2                                                  10

3                                                  12

6                                                  14

8                                                  15

10                                                 17

10                                                 19

11                                                  19

16                                                 23

17                                                 23

20                                                25

We assume that the Number of Sales represent (X) and Sales (in $1000) represent (Y), we have this:

n=5 \sum x = 103, \sum y = 177, \sum xy= 2088, \sum x^2 =1379, \sum y^2 =3359  

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]}}

r=\frac{10(2088)-(103)(177)}{\sqrt{[10(1379) -(103)^2][10(3359) -(177)^2]}}=0.9877

So then the correlation coefficient would be r =0.9877

And the determination coefficient for this case would be:

r^2 = 0.9877^2 = 0.9757 = 97.57 \%

And the correct option for this case would be:

A. The value of Upper R squared is 97.57​%, which is the percentage of variance in Sales that can be accounted for by the regression of Sales on Number of Sales People working.

5 0
3 years ago
64 divided by 6 with remainder
JulijaS [17]
Hey there


64 divided by 6
is 10 with remainder 4
<span>= 10 R 4</span><span>

The answer is 10 remainder 4 

Hope this helps </span>
6 0
3 years ago
The sum of two consecutive integers is at most 45. What is the larger integer?
alina1380 [7]
22 + 23 = 45
Largest would be 23
4 0
3 years ago
HELP ME PLEASE ITS NOT THAT HARD
VikaD [51]

Answer:

tan A = 28/45

Step-by-step explanation:

                                                                        opposite side

the tangent function is defined as tan A = ------------------------

                                                                        adjacent side

Here the length of the side opposite angle A is 28 and that of the side adjacent to A is 45.  Thus, the tangent of angle A is

tan A = 28/45

6 0
3 years ago
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