I NEED HELP PLEASE ! :)

A theorem called "inscribed angle theorem," states that angle θ is half of that of angle 2θ that subtends an identical arc on the circle.

So, ∠ABC = center angle * 1/2

The center angle is 192°, so substitute with that number and solve.

∠ABC = 192 * 1/2

∠ABC = 96°

Therefore, the answer is 96°

Best of Luck!

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