Which equation represents the graph? o (x + 1)2 (y - 4)2 = 1
62 82
1 (x 2)?
(y - 4)2(x + 1)2 = 1
82
62
(x - 1)2 (y + 4)2 = 1
82
62
-
o (y + 4)2 (x - 1)2 = 1
62
82

First choice

Step-by-step explanation:

When y = 4, x = -7 or 5

So only first choice is correct.

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