A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 ​respondents, ​14% choose chocolate​ pie, and the margin of error was given as +5 percentage points. Given specific sample​ data, which confidence interval is​ wider: the ​99% confidence interval or the ​80% confidence​ interval? Why is it​ wider?

Provide an example of a trigonometric function and describe how it is transformed from the standard trigonometric function f(x) = sin x, f(x) = cos x, or f(x) tan x using key features.

Segment an is an altitude of right δabc with a right angle at a. if ab = 2, squared 5 in and nc = 1 in, find bn, an, ac.

The bottom of ignacio's desktop is 74.5cm from the floor. ignacios sits in his adjustable chair, and the tops of his legs are 49.3cm from the floor. each clockwise rotation of the knob on the chair raises ignacio's legs by 4.8cm. write an inequality to determine the number of clockwise rotations, r, ignacio could make with the knob without his legs touching the desk.