An experiment has three steps with three outcomes possible for the first step, two outcomes possible for the second step, and five outcomes possible for the third step. How many experimental outcomes exist for the entire experiment

30 experimental outcomes exist for the entire experiment.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In this question:

Three outcomes possible for the first step.

Two for the second step.

Five for the third step.

How many experimental outcomes exist for the entire experiment?

Steps are independent, so, by the fundamental counting principle:

3*2*5 = 6*5 = 30

30 experimental outcomes exist for the entire experiment.

the first dot plot best represents the data

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complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation: