In a class of 21 students, 11 students passed the test. A total of 14 students completed their homework. If there are 4 students who did not pass the test AND did not complete their homework, what is the probability that a student passed the test GIVEN THAT they completed the homework?

8 students

Step-by-step explanation:

You know that 11 people passed the test, so 10 people did not pass the test. 4 people didn't do their homework and didn't pass the test which means 6 people did the homework but did not pass the test. We also know that 14 students did their homework meaning that 14-6= 8 students did their homework and passed the test.

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:

mia khalifa

step-by-step explanation: