Research group is on a college campus and is conducting a survey regarding the coffee consumption of college students in America. They randomly select three sample groups of 100 registered students to complete their survey, which asks the students to identify the average number of 8-ounce cups of coffee they consume each day. The results of the three sample groups are shown in the table below. 0 1 2 3 4+
Sample #1 38 19 26 16 1
Sample #2 32 14 37 15 2
Sample #3 41 22 31 6 0
One researcher looked at the results and made the following inference: "More college students don't drink coffee than do." Is this a valid conclusion? Explain your reasoning using complete sentences.

The results of the three sample groups are shown in the table below.

0 1 2 3 4+

Sample #1 38 19 26 16 1

Step-by-step explanation:

One researcher looked at the results and made the following inference: "More college students don't drink coffee than do."

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

no

step-by-step explanation: