Find the scale factor from DEF to ABC

³/2 (1.5)

Step-by-step explanation:

∆DEF was enlarged to get ∆ABC. The scale factor would be:

The ratio of any of the side length of ∆ABC to the corresponding side length of ∆DEF.

Thus,

BC:EF = 12:8

= 12/8

= 3/2 = 1.5

Scale factor from ∆DEF to ∆ABC is ³/2 or 1.5

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves

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