Let f(x)= √x+1/3 and g(x)= √x. find (f * g)(x). assume all appropriate restrictions to the domain.
a. (f * g)(x)= √x^2+x / 3
b. (f * g)(x)= x+1 / 3
c. (f * g)(x)= x^2+x / 3
d. (f * g)(x)= x+√x / 3

Successful implementation of a new system is based on three independent modules. module 1 works properly with probability 0.96. for modules 2 and 3, these probabilities equal 0.95 and 0.90. compute the probability that at least one of these three modules fails to work properly.

The number if marbles of different colors stored in a hat is listed below: 4 red marbles 10 green marbles 7 blue marbles. without looking in the hat, dan takes out a marble at random. he replaces the marble and then takes out another marble from the hat. what is the probability that dan takes out a blue marble in both draws?

The first floor of marcus’ house is 1,440 square feet. he will cover 1,033 square feet with wood and the rest with tile. a box of tiles will cover 11 square feet. how many boxes of tile does marcus need to buy to cover the floor?