Answer:
a) Quantitative; discrete
b) Qualitative
c) Quantitative; continuous
Step-by-step explanation:
Quantitative and Qualitative:
- Qualitative variables are the non-parametric variables.
- Quantitative variables are the variables whose values are expressed in the form of number.
- Qualitative is information about a variable where as quantitative describes the variable with the help of values.
Discrete and Continuous:
- Quantitative variables whose values are expressed in the form of whole numbers are discrete variable.
- Discrete variable cannot take all the values of an interval. They are counted not measured.
- Quantitative variable whose values can be expressed in the form of decimals are continuous variable.
- Continuous variable take all the values within interval. They are measured not counted.
a. Points scored in a football game.
Since the points are expressed in numerical. Thus, they are quantitative variable. Since points are always expressed in whole numbers and are always counted it is a discrete variable.
b. Racial composition of a high school classroom
This will include the categorical values and not expressed as numerical. Thus, it is qualitative variable.
c. Heights of 15-year-olds.
These values will be expressed with the help of numerical and can take any value within an interval. Also, height is always measured and not counted. Thus it is a continuous variable.
The only option that meets the root theorem is option b.
<h3>
which of the following is a possible root of the polynomial function below?</h3>
The polynomial function is:
The rational root theorem says that if a root is a rational number, then the leading coefficient must be divisible by the denominator of the rational number and the constant term must be divisible by the numerator.
In this case, the constant is 9, and the only option such that the constant is divisible by the numerator is option b: 3
Where 3 is a rational number:
3 = 3/1
The numerator is 3 (which divides 9) and the denominator is 1 (which divides the leading coefficient 9. (notice that it meets the theorem, but it is not an actual root).
If you want to learn more about polynomials.
brainly.com/question/4142886
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