To determine the number of trouttrout in a lakelake, a catches 360360 trouttrout, tags them, and releases them. later 198198 trouttrout are caught, and it is found that 3636 of them are tagged. assuming that the proportion of tagged trouttrout in the second sample was the same as the proportion of tagged trouttrout in the total population, estimate the number of trouttrout in the lakelake.

198 : 36 = 5.5 : 1

So the estimated population is 360 * 5.5 = 1980 trout

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: