Three language classes are offered to 100 students: spanish, french, and german. 28 students take spanish, 26 take french and 16 take german. in addition 12 students take both spanish and french, 4 take both spanish and german, 6 take both french and german, and 2 enroll in all three.

(a) if a student is chosen randomly, what is the probability that they are not in any of these classes?

(b) if a student is chosen randomly, what is the probability that they are taking exactly one language class?

(c) if two students are chosen randomly, what is the probability that at least one of them is taking a language class?

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:

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !

where's the diagram?

step-by-step explanation: