If we knew that 500 families living in various cities were surveyed randomly to gather this data, is it possible to make a valid conclusion? (2 points)

A confidence interval for a population mean with a known standard deviation is based on the fact that the sample means follow an approximately normal distribution. Suppose that our sample has a mean of \dis plays style\ overline{{x}}={10} and we have constructed the 90% confidence interval (5, 15) where EBM = 5.

Step-by-step explanation:

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Knowing that five hundred families that lived in varied cities were randomly surveyed for this data, then it is possible to make a valid conclusion. To make accurate and valid conclusions, the data should be a good representation of the overall population, one that is large and random. The data collected was not all from one specific area, and instead was from a large sample size from different cities are regions all over. This was also done randomly, and did not only focus on people more or less likely to play video games. This means that it is possible to make valid conclusions.

Step-by-step explanation:

the answer is c

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the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is