Write 81.509 in expanded form

 81.509=

 80  

+1  

+  0.5

+  0.00

+  0.009

Expanded Factors Form:

   81.509=

 8 ×10  

+1 ×1  

+5 ×  0.1

+0 ×  0.01

+9 ×  0.001

Expanded Exponential Form:

 81.509 =

8 × 101

+1 × 100

+5 × 10-1

+0 × 10-2

+9 × 10-3

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

two? xd

step-by-step explanation: