Mrs. Winston has a rectangular dinner table that is 45 inches long and 36 inches wide. She wants to make a rectangular tablecloth for the table and needs to determine the amount of cloth to buy. She wants the tablecloth to cover the entire table, but she wants to have at least an additional 6 inches on each side so the tablecloth drapes over the table. She is also planning on adding a lace border to the tablecloth, and based on the amount of lace she currently has in her possession, she wants the tablecloth to have a perimeter of at most 250 inches. Complete the table below with the values of the smallest and largest areas, in square inches, that the tablecloth could be while still satisfying the given constraints.
Quantity
smallest area ? square inches
Value
largest area ?square inches

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool.suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?

Scores on a university exam are normally distributed with a mean of 78 and a standard deviation of 8. the professor teaching the class declares that a score of 70 or higher is required for a grade of at least “c.” using the 68-95-99.7 rule, what percentage of students failed to earn a grade of at least “c”?

The figure shows the front side of a metal desk in the shape of a trapezoid. what is the area of this trapezoid? 10 ft²16 ft²32 ft²61 ft²