Adriana, henry, malik, and richard each design surveys to determine the most popular way seventh graders purchase music. adriana samples the five friends sitting at her lunch table. henry samples every boy in his homeroom class. malik samples every student using an mp3 player while waiting for the bus. richard samples the first student alphabetically on the class roster from each of 12 classes. which sample is likely to produce the most valid results?

Richard's method is the best method and is likely to produce the most valid results.

Step-by-step explanation:

Given scenario is :

A survey is designed to determine the most popular way seventh graders purchase music.

Adriana samples the five friends sitting at her lunch table.

Henry samples every boy in his homeroom class.

Malik samples every student using an MP3 player while waiting for the bus.

Richard samples the first student alphabetically on the class roster from each of 12 classes.

Out of all the four students, we can see that Richard conducted his survey using a random sampling technique where every possible individual was at the probability of being chosen.

So, Richard's method is the best method and is likely to produce the most valid results.

Other students did not prefer random sampling and chose people around them for their survey. So, it is a statistical bias.

7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.