X+23
2x-17
What is the value of x?

Simplifying

4x + -23 = 2x + 17

Reorder the terms:

-23 + 4x = 2x + 17

Reorder the terms:

-23 + 4x = 17 + 2x

Solving

-23 + 4x = 17 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.

-23 + 4x + -2x = 17 + 2x + -2x

Combine like terms: 4x + -2x = 2x

-23 + 2x = 17 + 2x + -2x

Combine like terms: 2x + -2x = 0

-23 + 2x = 17 + 0

-23 + 2x = 17

Add '23' to each side of the equation.

-23 + 23 + 2x = 17 + 23

Combine like terms: -23 + 23 = 0

0 + 2x = 17 + 23

2x = 17 + 23

Combine like terms: 17 + 23 = 40

2x = 40

Divide each side by '2'.

x = 20

Simplifying

x = 20

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