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? adriana’s sample henry’s sample malik’s sample richard’s sample

step-by-step explanation:

hjkj

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2