Sharina simplified the expression 3(2x – 6 – x + 1)2 – 2 + 4x. in step 1 she simplified within the parentheses. in step 2 she expanded the exponent.

The most simplified form is , on step one she has and on step 2 she has

Step-by-step explanation:

In order to simplify expressions we need to follow the order of operations, with acronym PEMDAS, that stands for Parenthesis first, then exponents, then multiplication or division and finally addition or subtraction.

Step 1 Simplifying within the parenthesis.

Since the expression has parenthesis we need to work with that part first, so inside the parenthesis we can proceed combining like terms.

Like terms are expressions that share a property, for example 2x and -x they both have x so we can combine them while -6 and +1 have no x and are just numbers so we can combine those as well.

So we will have

Here 2x-x give us just x and -6+1 = -5

Step 2 Expanding the exponent.

In order to expand the exponent we can work with FOIL procedure.

So if we work with that procedure we will get

Simplifying we get

That means the result of step 2 will be

Working to get the most simplified form

After expanding we can distribute the 3 in front to get

Lastly we can combine like terms to get

And that will be the most simplified form.

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