The following dot plot shows the number of weekly challenge questions each of the 30 members the Math Bowl team answered correctly last season. Each dot represents a different member. Which of the following is a typical number of challenge questions one member answered correctly?

10

Step-by-step explanation:

The most number of questions answered correctly are 10 and 11.

The typical number of questions a student answered correctly can be represented by the middle most value that is common to the data set.

If the data set is distributed evenly, the median, or the middle most value will fall on the 15th and 16th dots, which represents 10 correct correct challenge questions answered.

The typical number is 10.

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:

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5