The two plots below show the heights of some sixth graders and some seventh graders: Two dot plots are shown one below the other. The title for the top dot plot is Sixth Graders and the title for the bottom plot is Seventh Graders. Below the line for each dot plot is written Height followed by inches in parentheses. There are markings from 52 to 57 on the top line and the bottom line at intervals of one. For the top line there are 2 dots above the first mark, 1 dot above the second mark, 1 dot above the third mark and 2 dots above the fourth mark. For the bottom line, there is 1 dot above the third mark, 1 dot above the fourth mark, 3 dots above the fifth mark and 1 dot above the sixth mark.

The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 0.8. Approximately how many times the variability in the heights of the seventh graders is the variability in the heights of the sixth graders? (Round all values to the tenths place.)

1.5
2.2
3.0
4.6

The number of times the  variability in the heights of the seventh graders is the variability in the heights of the sixth graders is:

                         3.0

In order to find the variability between the two sets we divide the mean absolute deviation of the first set of data by the mean absolute deviation of the second set of the data.

The MAD of first set of data is: 1.2

and MAD of second set of data is: 0.4

Hence, let n be the number of times the variability in the heights of the seventh graders is the variability in the heights of the sixth graders.

Step-by-step explanation: i Just said it 3.0 Hope this help ..lolz <3

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:

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm