Does this sample meet the requirements for conducting a chi‑square test for independence? the sample meets the requirements because the expected frequency in each cell is at least 5.5. the sample meets the requirements because the observed frequency in each cell is at least 5.5. the sample does not meet the requirements because the expected frequency in at least one cell is less than 10.10. the sample does not meet the requirements because the expected frequency in at least one cell is less than 5.5. the sample does not meet the requirements because the observations are not independent.

Turner's mom measured his room to see how long the wallpaper border needed to be. if two walls are 15 feet long and two walls are 12 feet long, how long should the strip of border be cut?

Patty made a name tag in the shape of a parallelogram. reilly made a rectangular name tag with the same base and height. explain how the areas of the name tags compare.

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.