13. The sets of ordered pairs below represent relations. I{(0, 0), (1, 1), (2, 2), (3, 3), (4,4)}
II{(1, 2), (2, 1), (1, 3), (0, 1), (3, 1)}
III {(0, 2), (1, 2), (2, 4), (3, 4), (3, 6)}
IV {(1, 6), (2, 6), (3, 6), (4, 6), (5, 6)}
Which of these sets are also functions?
a. II, III, and IV
b. II and III
c. I only
d. I and IV

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3

The table below lists recommended amounts of food to order for 10 party guests. how much of each food item should nathan and amanda order for a graduation party with 55 guests? use the table to answer. item amount fried chicken 16 pieces lasagna 7 pounds deli meats 1.8 pounds sliced cheese 1 and two fifths pounds bakery buns 1 dozen potato salad 2 pounds

Two numbers have a sum of -19. one number is x. what expression represents the other number?