The sample space of a random experiment is , and each outcome is equally likely. A random variable is defined as follows: outcome 0 0 9.4 18 27 27 Determine the probability mass function of . Use the probability mass function to determine the following probabilities: [Give exact answers in form of fraction.]

Which of these triangle pairs can be mapped to each other using two reflections?

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

The number of calories you burn depends on your weight. a 110-pound person burns 163 calories during 30 minutes of tennis. find the number of calories that a 190-pound person would burn during the same activity, assuming they burn calories at the same rate.