Geometry math question no guessing and show work

If we see the protractor, we ill see that there is a horizontal line and a slant line. We have to see where the slant line touches the protractor. And as we see that the slant line touches the protractor at two angles which are 150 degree and 30 degree. But since the angle is acute , so 150 degree is not possible . So the correct option is 30 degree.

i dont know

step-by-step explanation:

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