115 VUTULUI.
1. A fast food restaurant collects the soft drink cans for recycling. The number of cans collected in
two weeks are given below.
84, 97, 77, 31, 84, 63, 58, 72, 47, 84, 69, 94, 43, 68
Mean:
Median:
Mode:

69

70.5

84

Step-by-step explanation:

Firstly, we need to sort this list of numbers in order to perform calculations on it.

To find the mean we must add up and divide by the amount of numbers there are.

To find the median we must find the number in the middle of the set.

As there are two numbers in the middle positions, 69 and 72.

We must take the average of these two numbers to determine the middle.

The most is the most common number, which is 84.

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: