Public health officials claim that people living in low income neighborhoods have different physical activity levels (pal) than the general population. this is based on knowledge that in the u. s., the mean pal is 1.6 and the standard deviation is 0.45. a study took a random sample of 44 people who lived in low income neighborhoods and found their mean pal to be 1.56. using a one-sample z test, what is the z-score for this data? (answer to 2 decimal places)

Which statement best explains why ben uses the width hi to create the arc at j from point k

Precalculus question, image attached.

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.