Let X represent the time it takes from when someone enters the line for a roller coaster until they exit on the other side. Consider the probability model defined by the cumulative distribution function given below. 0 x < 3 F(x) = (x-3)/1.27 3 < x < 4.27 1 x > 4.27 a) What is E(X)? Give your answer to three decimal places. b) What is the value c such that P(X < c) = 0.22? Give your answer to four decimal places.

Name the most appropriate metric unit for each measurement like a length of an carrot

20 points 1. your friend, taylor, missed class today and needs some identifying solutions to systems. explain to taylor how to find the solution(s) of any system using its graph. 2. taylor graphs the system below on her graphing calculator and decides that f(x)=g(x) at x=0, x=1, and x=3. provide taylor some feedback that explains which part of her answer is incorrect and why it is incorrect. f(x)=2x+1 g(x)=2x^2+1

On the first of each month sasha runs a 5k race she keeps track of her times to track her progress her time in minutes is recorded in the table