Ron randomly pulls a pen out of a box that contains 1 red, 2 black, and 3 blue pens. He does this 4 times, replacing the pen each time, but pulls out a blue pen only 1 time. Ron concludes

that the observed frequency of pulling a blue pen will eventually be closer to the expected

frequency based on the theoretical probability of pulling a blue pen. Which reasoning best

supports his conclusion?

The more experiments that are done, the more the theoretical trend is marked

Step-by-step explanation:

The first thing is to define each probability,

-Theoretical probability is a proportion that expresses the ways to be successful in the total events of an experiment.

-Experimental probability is the proportion of the proposed result for the number of experimental attempts.

Based on this, the reason that best supports this is that the more the experiment is repeated, the closer the experimental probability gets to the theoretical one, since as the number of attempts increases, it tends to go more to what theoretically is what would happen.

what does x eaqual

step-by-step explanation:

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11