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528  dollars

Step-by-step explanation:

The starting price is $600. And it goes down by 20% then comes back up 10% so steps are:

First we got 20% off so I did 100 - 20 and got 80%

1: 80%  * 600 = 80/100 * 600 = 480

Then we get an increase of 10% so I multiplied 110% with 480 which was our new price

2. 110/100 * 480 = 11 * 48(simplifying)

=  528

pooopoopopoopop

step-by-step explanati∵∵∴∴on:

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