Is 8,000 a good estimate for the sum of 3,816 and 467? b.) if it is, explain why it is a good estimate. if it is not, explain why it is a bad estimate.

4,500

The given estimate is bad.

Step-by-step explanation:

We are determine whether 8,000 is a good estimate for the sum of 3,816 and 467 or not.

First of all, we will round both numbers and then find the sum as:

Estimated sum:

B. The given estimate is not good estimate because is far away from the actual sum.

The estimate is bad because the numbers are not rounded correctly.

boxplot

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: