A. Find and explain the error made. B. Fix it by showing the correct solution.
3x - 4 = 7x + 12
-4 = 4x + 12
8 = 4x
X = 2

x= -4

Step-by-step explanation:

3x + -4 = 7x + 12

Reorder the terms:

-4 + 3x = 7x + 12

Reorder the terms:

-4 + 3x = 12 + 7x

Solving

-4 + 3x = 12 + 7x

Solving for variable 'x'.

Move all terms containing x to the left... all other terms to the right.

Add '-7x' to each side of the equation.

-4 + 3x + -7x = 12 + 7x + -7x

Combine like terms: 3x + -7x = -4x

-4 + -4x = 12 + 7x + -7x

Combine like terms: 7x + -7x = 0

-4 + -4x = 12 + 0

-4 + -4x = 12

Add '4' to each side of the equation.

-4 + 4 + -4x = 12 + 4

Combine like terms: -4 + 4 = 0

0 + -4x = 12 + 4

-4x = 12 + 4

Combine like terms: 12 + 4 = 16

-4x = 16

Divide each side by '-4'.

x = -4

Simplifying

x = -4

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

b. 2 and 4

step-by-step explanation: