Asap ! the graph below represents the price of sending text messages using the services of a phone company. what is the constant of proportionality? a graph is shown. the values on the x axis are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. the values on the y axis are 0, 8, 16, 24, 32, 40, 48, 56, 64, 72, 80. points are shown on ordered pairs 0, 0 and 2, 16 and 4, 32 and 6, 48 and 8, 64. these points are connected by a line. the label on the x axis is text messages sent. the label on the y axis is price in cents. a.8 b.14 c.16 d.48

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560