In the city of milford, applications for zoning changes go thorugha two step process: a review by the planing comission and a final decision by the city council. At step 1 the planinf comission reviews the zoning change request and makes a positice or negative recommendation concerning the change. At step 2 the city council reviews the planning comission's recommendation and the votes to approve or to disapprove a zoning change, Consider the application process as an experiment. how many sample points are there for this experiment? List sample points, construct a tree diagram for the experiment.

The tree diagram is attached below

Step-by-step explanation:

At step 1 the planing commission reviews the zoning change request and makes a positive or negative recommendation concerning the change.

that is there are two possible decision as positive recommendation or negative recommendation.

Let's denote them as + and - respectively.

At step 2 the city council reviews the planning commission's recommendation and the votes to approve or to disapprove a zoning change,.

That there are also two types of decision approve or disapprove

So total number of sample points are 2*2 = 4

sample points = {( +,approve), (+, disapprove), ( -, approve), (-, disapprove)}

let's construct tree diagram

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:

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