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anygoal [31]
3 years ago
14

The measure of the supplement of abc equals 180 minus m Abc this is the definition of supplement or complement angle

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
8 0

Complement: The sum of two angles equals 90°

Supplement: The sum of two angles equals 180°

Answer: Supplement

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What is this number in standard form?
Andrej [43]

Answer:

500.61

Step-by-step explanation:

5 multiplied by 100 = 500

1/10 = 0.1, So 6 multiplied by 0.1 = 0.6

1/100 = 0.01, So 1 multiplied by 1 = 0.01

500 + 0.6 + 0.01 = 500.61

6 0
3 years ago
Read 2 more answers
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
9 months ago
What are the steps for adding and subtracting mixed numbers with unlike denominators
Valentin [98]
Well, there are different ways to do this if you are really familiar with fractions, but "officially" :P

1) convert mixed numbers to improper fractions.

rule:  a b/c = (ac+b)/c

2)  make all fractions have a common denominator...

a/b+c/d

(a/b)(d/d)+(c/d)(b/b)

(ad/bd)+(cb/bd)

3)

The simplify your final answer with greatest common denominator or convert back to mixed number if needed...
5 0
2 years ago
Read 2 more answers
Complete the following steps for this equation.
Troyanec [42]
1. <span>4x – 20 = 5y

so 5y = </span><span>4x – 20

divide both sides by 5

y = (4/5)x - 4


2. x-intercept is at y=0

so (4/5)x - 4 = 0

x = 5

so it is (5,0)


3. y-intercept is at x=0, y = 0 - 4 = -4

so it is (0,-4)

</span>
6 0
3 years ago
What is the product of (r + 4) and (r - 3)
dlinn [17]

r + 4(r - 3)

<em><u>We'll use the distributive property to simplify this.</u></em>

r^2 - 3r + 4r - 12

<u><em>Combine like terms</em></u>

r^2 + r - 12 is the simplified form.

6 0
2 years ago
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