In an experiment, a, b, c, and d are events with probabilities p(a) = 1/4, p(b) = 1/8, p(c) = 5/8 and p(d) = 1/4. furthermore, a and b are disjoint, while c and d are independent. • are a and b independent? • find p(a ∪ b. and p(c ∩ d)

Type the correct answer in each box. spell all words correctly. a sequence of transformations maps ∆abc onto ∆a″b″c″. the type of transformation that maps ∆abc onto ∆a′b′c′ is a . when ∆a′b′c′ is reflected across the line x = -2 to form ∆a″b″c″, vertex of ∆a″b″c″ will have the same coordinates as b′.

Which of the following best describes the graph below? + + 2 + 3 + 4 1 o a. it is not a function. o b. it is a one-to-one function. o c. it is a many-to-one function. o d. it is a function, but it is not one-to-one.

21 a stick 7 inches long is broken into two pieces, so that one piece is twice as long as the other one. how long are the two pieces?