Very large or very small numbers can be written in the following form, where a is an integer between 1 and 9 and b is an integer.

Estimate the numbers in the table. Then, find the values of a and b for each number.

Value in Standard Form Estimated Value
a × 10b
Estimated U. S. population in 2014 318,900,000 a =
, b =
Thickness of piece of metal in m 0.00053 a =
, b =

y + 11 = (1/4)(x + 16)

step-by-step explanation:

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