Assume that the salaries of elementary school teachers in a particular country are normally distributed with a mean of $38,000 and a standard deviation of $4,000. what is the cutoff salary for teachers in the top 7%?

$43,920.

Step-by-step explanation:

We have been given that the salaries of elementary school teachers in a particular country are normally distributed with a mean of $38,000 and a standard deviation of $4,000.

We will use the normal distribution table to solve our given problem. From normal distribution table, we need to find the z-score corresponding to the top 7% or z-score corresponding to probability 93% (0.93).

From normal distribution table, we get our required z-score as 1.48.

Now, we will use z-score formula to solve for sample score as:

Therefore, the cutoff salary for teachers in the top 7% is $43,920.

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,