8,900 incoming freshman to a university take an entrance exam, with the top 10% being offered admission to the university's honors program. The average test score is 78%, with a standard deviation of 11%. Use a calculator to find what the student must score to be invited to join the honors program if only 65 scores are looked at to determine the honors admissions requirement.

The student must score 79.75% to be invited to join the honors program.

Step-by-step explanation:

Let X denote the score of a freshman in the entrance exam.

It is provided that the average test score is 78%, with a standard deviation of 11%.

It is provided that the top 10% being offered admission to the university's honors program.

Let x denote the score eligible for being offered admission to the university's honors program.

Then, P (X ≤ x) = 0.90.

Then P (Z < z) = 0.90.

The corresponding z-score is, 1.28.

*Use a z-table.

Compute the value of x as follows:

Thus, the student must score 79.75% to be invited to join the honors program.

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

this is a very good question

step-by-step explanation:

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