At a community college it is known that the grade point average (gpa) of all students has a distribution which is both mound shaped and symmetric. the mean of the distribution is 2.50 with a standard deviation of 0.5. it has been decided by the faculty senate that all students with gpas in the top 16% will graduate with honors. what is the minimum gpa that qualifies a student to graduate with honors? (hint: you will need to use the empirical rule to answer this question) select one:

3 GPA is the minimum GPA that qualifies a student to graduate with honors.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 2.50

Standard Deviation, σ = 0.5

We are given that the distribution of GPA score is a bell shaped distribution that is a normal distribution.

Formula:

We have to find minimum GPA in the top 16% students will graduate with honors.

Thus,

Calculating the corresponding value of z from the normal distribution table, we have,

z = 0.994458

Hence, 3 GPA is the minimum GPA that qualifies a student to graduate with honors.

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.