1. a bag contains 5 red marbles and 4 green marbles.

what is the probability of choosing a red marble then a green marble, without replacement?
25/81
20/81
5/18
25/72

2. adam, jack and sheila are the three seniors who have been elected to student council. the president and vice president are randomly selected from these three seniors by drawing their names from a hat.

what is the probability that jack will be selected first for president and sheila will be selected second for vice president?
5/6
1/9
2/3
1/6

3. john rolls a six-sided number cube twice.

what is the probability of getting an even number and then an odd number?
1/2
1/6
5/6
1/4

4. on a true-false quiz of six questions, karen answers all the questions.

what is the probability that she answers the first three questions correctly and the last three questions incorrectly?
1/8
1/64
1/32
1/4

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:

step-by-step explanation:

one of the most important purposes of surface treatment is to alter surface properties according to the requirement of specific applications. for example, hydrophobic coating has been utilized on windshield and eyeglasses. gold atom monolayer on substrate has become a popular surface bioconjugation strategy.