Agym in your area wanted to know if the local community would be interested in a yoga class. the gym emailed every customer they had asking them to respond if they would or would not be interested in attending a yoga class. the gym received 184 responses, 149 of which said they would take a yoga class if the gym offered it. which statement is true? a) the population of the study is anyone who responded to the email. b) the survey sample includes all customers in the local community. c) the population of the study is the everyone in the local community. d) the survey sample includes those that responded they would not take a yoga class.

Choice C, the population of the study is everyone in the community.

Explanation:

A) This is false because the population is the entire community. The population is the set of people the study is focused on, or who the researchers care about, so they can answer the question. In this case the question is "is the community interested in a yoga class". The sample would be the set of people who were emailed and responded.

B) False. Refer to choice A above.

C) True. Again, refer to choice A.

D) False. The sample consists of people who respond either way (saying yes they want to take it, or no they don't want to take it). It's not solely consisted of one side.

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:

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step-by-step explanation: