"Write a set of inequalities and solve to find the range of possibilities for x. You will need to write two separate inequalities instead of one compound inequality."

Step-by-step explanation:

First, the side lengths should be greater than zero:

Second, The triangles have a common side and the given sides are opposite of 27° and 37° angles.

This tells us the side opposite of greater angle is greater:

Simplify each inequality:

Common solution is:

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