Construct the discrete probability distribution for the random variable described. Express the probabilities as simplified fractions.
The number of tails in 5 tosses of a coin.

In the past, professional baseball was played at the astrodome in houston, texas. the astrodome has a maximum height of 63.4 m. the height of a baseball t seconds after it is hit straight up in the air with a velocity of 45 ft/s is given by h = -9.8t2 + 45t + 1. will a baseball hit straight up with this velocity hit the roof of the astrodome? use the discriminant to explain your answer.

Ashley recently opened a store that sells only natural ingredients. she wants to advertise her products by distributing bags of samples in her neighborhood. it takes one person 22 minutes to prepare one bag. how many hours will it take to prepare 900900 bags of samples if ashley and 55 of her friends do the work?

Aliaa is skating down a ramp. the wheels on her skateboard have diameters of 60 \text{ mm}60 mm60, space, m, m. what is the distance aliaa travels when her skateboard wheels make 202020 revolutions? round your answer to the nearest \text{mm}mmm, m.