Solution:
Matte Satin Glossy Total
Homeowners 0.08 0.20 0.24 0.52
Contractors 0.04 0.26 0.18 0.48
Total 0.12 0.46 0.42 1
Approximately what percentage of contractors prefer the glossy finish?
Answer: Percentage of contractors who prefer the glossy finish is:
or 
Therefore, the option D. 37.5% is correct
We have been given two polynomials 
Let us first multiply these polynomials.
Now, we know that polynomials follows closure property of multiplication.
It means that when we multiply two polynomials, the result will be a polynomial.
Since, when we multiplied the given polynomials, we got 
which is a polynomial.
Therefore, the correct option is
The result is a polynomial.
Answer:
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- <em><u>positive correlation, likely causal </u></em>
Explanation:
Correlation and causation are different.
Correlation means that the variables are related, meaning that when one changes the other also change. A positive correlation means that the variables change in the same way: when one increases the other also increases, and when one decreases the other also decreases. A negative correlation means that the variables change in opposite directions, i.e. when one increases the other decreases.
The correlations may be strong, moderated or weak. The correlation coefficient tells how strong the correlation is. The correlation coefficient may take values from - 1 to + 1.
A negative 1 correlation coefficient means a perfect negative correlation. A positive 1 correlation coefficient means a perfect positive correlation. Thus, in this case Brett's teacher found that the correlation coefficent was r = 0.97. That is pretty close to 1, and means that this is a strong positive correlation.
About causation, you only may feature a relationship as causal if one variable is the reason why the other variable changed in the way it did it. In this case, it is very reasonable to attribute a causation relationship between the minutes Brett stayed on task in class and the grade he earned on the homework that night, because the more Brett worked in class the better prepared he should be to do his homework, and that idea is reinforced by the high positive correlation coefficient r = 0.97. That is why you can assert that the teacher must have discored a positive correlation, likely causal.
Answer:
The correct options are 1, 3 and 4.
Step-by-step explanation:
We need to find the expressions whose simplified form is a rational number.
Rational number: If a number is defined in the form of p/q where p and q are integers and q≠0, then it is called a rational number.
For example: 0,2, 4.3 etc.
Irrational number: If a number can not defined in the form of p/q, where p and q are integers and q≠0, then it is called an irrational number.
First expression is
12 is a rational number.
Second expression is
is an irrational number.
Third expression is
21 is a rational number.
Fourth expression is
5 is a rational number.
Therefore, the correct options are 1, 3 and 4.
Make XY tables for each option.
If any of the Tables have identical X numbers it is not a function.
The first option has two X's that re 2, so is not a function.
Second option has 2 x's that are 4's, so is not a function.
The third option has no repeating X values so is a function.
The fourth option has two -2's and two 0's so ids not a function.
The function is the third choice:
On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 2, 2), (0, 1), (1, 3), (2, negative 4), (4, negative 1).
