Which equation has no solution?
A) 4(x + 3) + 2x = 6(x+2)

B) 5+2(3 + 2x) = x + 3(x + 1)

C) 5(x + 3) + x = 4(x + 3) + 3

D) 4 +672 + x) = 2(3x + 8)

B) 5 + 2(3 + 2x) = x + 3(x + 1)

Step-by-step explanation:

A) 4(x + 3) + 2x = 6(x + 2)

   4x + 12 + 2x = 6x + 12

   6x + 12         = 6x + 12

 infinitely many solutions

B) 5 + 2(3 + 2x) = x + 3(x + 1)

   5 +  6  + 4x   = x + 3x + 3

         11  +  4x   =  4x     + 3

         11             =              3

               FALSE

          No Solution

C) 5(x + 3) + x = 4(x + 3) + 3

   5x + 15  + x = 4x + 12 + 3

           15 + 6x = 4x + 15

            15 + 2x =        15

                   2x =         0

                     x = 0

            One Solution

D) 4 + 672 + x = 2(3x + 8)

          676 + x = 6x + 16

          660       = 5x

           180      =   x

        One Solution

answer: 1 and 3

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