A health inspector wants to test the water quality for 58,000 homes in a city. which method of gathering data would likely create a representative sample of these homes?

Test the water in 150 randomly chosen homes.

True. if we use a random sample method we have for each home the same probability of being selected and we are including all the possible homes for the population of interest.

Step-by-step explanation:

Assuming the following options for the problem since is incomplete:

Test the water in 150 homes that have reported water quality issues.

False, since if we do that we are excluding homes who not report quality issues and that;s not the purpose of the study since we want a representative sample

Test the water in 150 homes in one neighborhood.

False since we can select 150 homes with no quality issues and then our sample would be biases and not satisfy the requirement for this case

Test the water in 150 randomly chosen homes.

True. if we use a random sample method we have for each home the same probability of being selected and we are including all the possible homes for the population of interest.

Test the water in 150 newly built homes.

False if we do this we are getting a sample biased just for the newly built homes aand that's not the purpose of the study

ddd

step-by-step explanation:

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.