Recall from example 1 that whenever suzan sees a bag of marbles, she grabs a handful at random. she has seen a bag containing  four  red marbles,  five  green ones,  four  white ones, and  two  purple ones. she grabs  eight  of them. find the probability of the following event, expressing it as a fraction in lowest terms. she has at least one green one.

The step function g(x) is defined as shown.what is the range of g(x)? ***answer choices in picture.

For each polynomial, determine the degree and write the polynomial in descending order. a. –4x^2 – 12 + 11x^4 b. 2x^5 + 14 – 3x^4 + 7x + 3x^3

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 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)