Two groups of students, Group A and Group B, have the age distributions shown below. Which statement about the distributions is true? Distribution A
# of Students
M N O
15
19
16 17 18
Age
Distribution B
# of Students
15
16
17
18
19
Age
Distribution B has a larger mean, but the medians of both distributions are the same.
0
Distribution B has a smaller mean, but the medians of both distributions are the same
Distribution B has both a larger mean and a larger median than distribution A
Distribution B has both a smaller mean and a smaller median than distribution A
M

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:

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.