Solve for x.
HELP HELP HELP ON THESE 2 QUESTIONS

Step-by-step explanation:

ASSUMING line segments that appear tangent are in fact tangent.

11) 20² = 16(16 + x)

   400 = 256 + 16x

     16x = 144

         x = 9

12) x² = 8(8 + 14)

     x² = 176

      x = √176 ≈ 13.27

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