5) at a local college, four sections of economics are taught during the day and two sections are taught at night. 75 percent of the day sections are taught by full-time faculty. 35 percent of the evening sections are taught by full-time faculty. if jane has a part-time teacher for her economics course, what is the probability that she is taking a night class?

0.5652

Step-by-step explanation:

We are given that  75 percent of the day sections are taught by full-time faculty

The probability a class is taught by full-time faculty, day = 0.75

The probability a class is taught by part-time faculty, day = 1-0.75 = 0.25

The probability a class is taught by full-time faculty, night = 0.35

The probability a class is taught by part-time faculty, night = 1-0.35 = 0.65

We are also given that four sections of economics are taught during the day and two sections are taught at night

The probability that she is taking a night class=

                                                                            =

Hence the probability that she is taking a night class is 0.5652

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.