Which equation is equivalent to y=2/3x-6
A. 2x+3y=-6
B.3x-2y=6
C.3x-2y=12
D.2x-3y=18

D. 2x-3y=18

Step-by-step explanation:

1. multiply both sides by 3 to get rid of the fraction

( 3)(y)=(x -6)(3)

2. That gives 3y=2x-18

3. subtract 2x on both sides

   3y=2x-18

 -2x = -2x

3. that gives -2x+3y=-18

4. then multiply by -1 to make 2x positive

 -1(-2x+3y=-18)

5. and that gives 2x-3y=18

boxplot

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