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Assoli18 [71]
2 years ago
11

21+19=40;19+21=40 a commutative property or associative property

Mathematics
1 answer:
Nikolay [14]2 years ago
7 0

Answer:

it is a commutative property

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A professor went to a website for rating professors and looked up the quality rating and also the "easiness" of the six full-tim
Marat540 [252]

We are asked to determine the correlation factor "r" of the given table. To do that we will first label the column for "Quality" as "x" and the column for "Easiness" as "y". Like this:

Now, we create another column with the product of "x" and "y". Like this:

Now, we will add another column with the squares of the values of "x". Like this:

Now, we add another column with the squares of the values of "y":

Now, we sum the values on each of the columns:

Now, to get the correlation factor we use the following formula:

r=\frac{n\Sigma xy-\Sigma x\Sigma y}{\sqrt{(n\Sigma x^2-(\Sigma x)^2)(n\Sigma y^2-(\Sigma y)^2)}}

Where:

\begin{gathered} \Sigma xy=\text{ sum of the column of xy} \\ \Sigma x=\text{ sum of the column x} \\ \Sigma y=\text{ sum of the column y} \\ \Sigma x^2=\text{ sum of the column x\textasciicircum2} \\ \Sigma y^2=\text{ sum of the column y\textasciicircum2} \\ n=\text{ number of rows} \end{gathered}

Now we substitute the values, we get:

r=\frac{\left(6)(70.56)-(25.2)(16.4\right)}{\sqrt{((6)(107.12)-(25.2)^2)((6)(47.82)-(16.4)^2)}}

Solving the operations:

r=0.858

Therefore, the correlation factor is 0.858. If the correlation factor approaches the values of +1, this means that there is a strong linear correlation between the variables "x" and "y" and this correlation tends to be with a positive slope.

7 0
1 year ago
Erin and dan went shopping at their local store. Erin bought shirts that cost $12 each and spent $18 on accessories. Dan bought
andrezito [222]

Answer:

2

Step-by-step explanation:

I  think below is your full question:

<em>Erin and Dan went shopping at their local store. Erin bought shirts that cost $12 each and spent $18 on accessories. Dan bought the same number of shirts as Erin for $16 each and spent $10 on accessories. </em>

<em>If Erin and Dan were billed the same amount by the store, how many shirts did each of them buy?</em>

Here is my answer

Let  x is number of shirts

Person             COST              

ERIN                12x+18

DAN                 16x+10

Equally Billed    12x+18=16x+10 <=> x = 2

so each of them buy 2 shirts

7 0
3 years ago
Which of these places rounds 43,754 to the lowest number?
scoundrel [369]
The tens is the lowest
8 0
3 years ago
4. A Pelican was flying 3 feet above sea level, when it dove to catch a fish that was 2 feet below sea level. How far did the pe
Alenkasestr [34]

Answer: The pelican dove 5ft

Step-by-step explanation:

Pelican = 3ft

Fish = -2ft

Went down 3ft to get to 0, went down 2 more feet to get the fish.

4 0
2 years ago
X = 22 + 10x<br> How to find x?
GrogVix [38]

Answer:

x = -2.44

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 10x from both sides:

x (-10x) = 22 + 10x (-10x)

x - 10x = 22

-9x = 22

Isolate the variable, x. Divide -9 from both sides:

(-9x)/-9 = (22)/-9

x = 22/-9

x = -(22/9)

x = -2.44 (repeating).

x = -2.44 (rounded) is your answer.

~

7 0
3 years ago
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