Which of the following shows 27⁄54 written in prime factored form to in reducing the fraction to simplest form? a. 1⁄2 b. 9×3 ⁄9×6 c. 3×3×3⁄3×3×3×2 d. 27×1 ⁄27×2

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

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)

Acd that is originally priced at $15.85 red-tagged for the sale. what is the sale price of the cd