Student life did a survey of students in which they asked about voting in the most recent student election. The results were: Part-time Student Full-time Student Row Total Voted 15 20 35 Did not vote 25 30 55 Column Total 40 50 90 If a student is selected at random from this group of 90 students, find the probability that: a) the student voted in the most recent election. b) the student voted in the most recent election, given the student is part-time. c) the student voted in the most recent election and the student is part-time. d) Are the events “student voted” and “student is part-time” independent? Explain.

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation:

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: