Measure angle 1 = 3y - 6

y=2.3 repeating

Step-by-step explanation: 1=3y-6

add 6 on both sides: 1+6=3y-6+6

simplify: 7=3y

divide by 7 on both sides: 7/3=3y/3

Solve: 2.3 repeating=y

y=2.3 repeating

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