Discussion Questions 1. Why are the “With Replacement” and “Without Replacement” probabilities different?

2. Convert P(no yellows) to decimal format for both Theoretical “With Replacement” and for Empirical “With

Replacement”. Round to four decimal places.

a. Theoretical “With Replacement”: P(no yellows) =

b. Empirical “With Replacement”: P(no yellows) =

c. Are the decimal values “close”? Did you expect them to be closer together or farther apart? Why?

3. If you increased the number of times you picked two M&Ms to 240 times, why would empirical probability

values change?

4. Would this change (see part 3) cause the empirical probabilities and theoretical probabilities to be closer together or farther apart? How do you know?

5. Explain the differences in what P(G1 AND R2) and P(R1|G2) represent. Hint: Think about the sample space for

each probability.

Which of the following graphs could represent a quartic function?

When constructing a perpendicular line through a point off a line, how can you verify that the lines constructed are perpendicular? check the angles used in the construction with a straightedge to ensure consistency. check the distance along the lines at several places with a compass to ensure they are the same length. check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. check the distance between the lines at several places with a compass to ensure they are equidistant. question 2(multiple choice worth 1 points) (01.03 lc) which of the following steps is included in the construction of a perpendicular line through a point on a line? connect arcs that are above and below the given line with a straightedge. connect arcs that are above the original line with a straightedge. create arcs on either side of a point that is off the given line. create a copied angle by using the first two lines as the original angle.

Write an expression to represent the perimeter 2a-3 , 3a+1 , 2a