According to the college board, sat critical reading scores from the 2014 school year for high school students in the united states were normally distributed with a mean of 497 and a standard deviation of 115. use a standard normal table such as this one to determine the probability that a randomly chosen high school student who took the sat in 2014 will have a critical reading sat score between 450 and 750 points give your answer as a percentage rounded to one decimal placep=%

64.5 %

Step-by-step explanation:

Let's start defining the random variable X.

X : '' SAT critical reading scores from the 2014 school year for high school students in the United States ''

We know that X ~ N (μ,σ)

Where μ is the mean and σ is the standard deviation.

⇒ X ~ N (497,115)

If we want to calculate probabilities related to X we need to standardized the random variable. We do this by subtracting the mean to X and then dividing by the standard deviation. This new random variable will be ''Z'' and Z ~ N (0,1)

We can find the probabilies of ''Z'' in any standard normal table.

The cumulative distribution of ''Z'' is the function Φ where  :

Φ(a)

Now, we need to calculate the following probability :

If we standardized this :

We know that ≅ Z ⇒

⇒

Φ(2.2) - Φ(-0.41) =

⇒ 64.52% ≅ 64.5%

We find that the probability (given as a percentage) is 64.5%

im like 90% sure its a meme

step-by-step explanation:

good luck tho

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".