Select the equivalent expression (a 5⋅23 ) 3 =?

Step-by-step explanation:

65.2

27/125 = 0.216

Step-by-step explanation:

Exponentiation: 3/

5

^ 3 = 33/

53

= 27/

125

In other words - three fifths raised to the power of cubed = twenty-seven one-hundred twenty-fifths.

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