In order to get promoted to the next grade, a student is required to score above 55 in the final test. Assume the scores to be normally distributed with a mean of 60 and a standard deviation of 5.5. Calculate the percentage of students who will be promoted to the next grade.

And we can find this probability with the complement rule:

And we can use excel or the normal standard table and we got:

So then we expect about 81.8% of students that will be promoted

Step-by-step explanation:

Let X the random variable that represent the scores of promotion of a population, and for this case we know the distribution for X is given by:

Where and

We want to find the following probability:

And we can use the z score formula given by:

Using the z score formula we got:

And we can find this probability with the complement rule:

And we can use excel or the normal standard table and we got:

So then we expect about 81.8% of students that will be promoted

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d

a: 1/6, j: 1/4

step-by-step explanation: you are welcome