Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 24 days and a standard deviation of 6 days.

1. if one of the trials is randomly chosen, find the probability that it lasted more than 27 days.
.
write the probability statement and the amount of this probability. use 4 decimal places in your probability.
ex. of probability statements: p(a < x < b), p(x < a), p(x > a)

2. 70% of all trials of this type are completed within how many days? use 2 decimal places in your answer.

Billy plotted −3 4 and −1 4 on a number line to determine that −3 4 is smaller than −1 4 .is he correct? explain why or why not

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

If your teacher tells you to do questions 6 through 19 in your math book for homework, how many questions is that