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3 years ago

Which of the following are variables are categorical, if any? (check all that apply)

Mathematics

1 answer:

alukav5142 [94]3 years ago

3 0

Answer:

A) The brand of cars driven by Harvard instructors

C) The types of plants growing in yellowstone

Step-by-step explanation:

Categorical and numerical variables:

Numerical data can be expressed with the help of numerical.
Categorical data cannot be expressed by numerical.
They do no have any particular value.
They are the non-parametric data.
Categorical data are also known as qualitative data.

A) The brand of cars driven by Harvard instructors

Since the brands cannot be expressed in numerical, it is a categorical variable.

B) The age of randomly selected biology students.

The age of student are expressed in whole numbers or decimals. Thus, it is a numerical data.

C) The types of plants growing in yellowstone

Again, the type of plants cannot be expressed with the help of numerical. Thus, it is a categorical variable.

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I think your question missed key information, allow me to add in and hope it will fit the orginal one

<em>For the graph below, what should the domain be so that the function is at least 200? graph of y equals minus 2 times the square of x plus 30 times x plus 200 </em>

My answer:

Given the above information, we have:

$y=-2x^2+30x+200$

To make the function is at least 200, it means that:

$y=-2x^2+30x+200$ ≥ 200

<=> $-2x^2+30x$ ≥ 0

<=> x(-2x+30) ≥ 0

This is the product of two numbers hence would be positive only if either both are positive or both are negative

Case I: Both positive

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Case II: Both negative

Then we get

$x\leq 0 and -2x+30\leq 0\\\\x\leq 0 and x\geq 15$

This is inconsistent as a value cannot be less than 0 and greater than 15

=> our correct answer is $0\leq x\leq 15$

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