A person claims that the probability of getting a 2 when rolling a six-sided die is 1/6 because the die is equally likely to land on any of the six sides. Is this an example of a theoretical probability or an empirical probability?

Step-by-step explanation:

Empirical probability is total dependent on observance.

As per the given question, if we want to know the empirical probability of getting a 2, then we need to get the actual probability by observing the incident for a large number of times.

Theoretical probability is the ratio of desirable outcome and the total possible outcome.

According to the question, there are total 6 possible outcomes. If we want to get a 2, then desirable outcome is only 1. The probability is . It satisfies the definition of theoretical probability.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

step-by-step explanation:

5×5×5+2(8)÷2(2)+3(3)

15+16÷4+9

31÷13

do 31÷13 and u will get ur answer