Remember you can do anything to an equation as long as you do it to both sides (except divide by 0)

add like terms
3x-x=3x-1x=2x

so
3x-x+2=12
2x+2=12
subtract 2 from both sides
2x=10
divide both sides by 2
x=5

7 0

4 years ago

The Brooklyn District Attorney's office analyzed the leading (leftmost) digits of check amounts in order to identify fraud. The

iragen [17]

Answer:

The expected number of checks among 784 that should have a leading digit of "1" is 236.

Step-by-step explanation:

Let X = number of checks that has the leading digit as "1".

The probability of a check having a leading digit as "1" is, p = 0.301.

The number of checks issued by a suspected company is, n = 784.

A check is having a leading digit "1" is independent of other checks.

A randomly selected check either has the leading digit 1 or not.

The success of the experiment is defined as, a check having the digit "1" as the leading digit.

The random variable X follows a Binomial distribution with parameters n = 784 and p = 0.301.

The expected value of a random variable is the average number of times the random variable occurs.

The formula to compute the expected value of a Binomial distribution is:

$E(X)=n\times p$

Compute the expected value of X as follows:

$E(X)=n\times p\\$

$=784\times 0.301\\=235.984\\\approx236$

Thus, the expected number of checks among 784 that should have a leading digit of "1" is 236.

7 0

4 years ago

Mikayla earns $ 100 every 8 hours at her new job. At

spin [16.1K]

Answer:

$175

Step-by-step explanation:

100 divided by 8 is 12.5

12.5 x 14 is 175.

6 0

3 years ago