In one of the archaeological excavation sites, the artifact density (number of prehistoric artifacts per 10 liters of sediment) was . Suppose you are going to dig up and examine liters of sediment at this site. Let 0, 1, 2, 3,… be a random variable that represents the number of prehistoric artifacts found in your liters of sediment. Find the probability that you will find fewer than prehistoric artifacts in the liters of sediment. Round your answer to the nearest ten thousandth.

Which approach to the theory-and-research cycle does the following sequence reflect: (1) specific observations suggest generalizations, (2) generalizations produce a tentative theory, (3) the theory is tested through the formation of hypotheses, and (4) hypotheses may provide suggestions for additional observations?

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?

Can some one explain how to slove specifically, what is the value of x? 0.9(x+1.4)-2.3+0.1x=1.6 enter the answer as a decimal in the box. x= ?