Verify that the following function is a probability mass function, and determine the requested probabilities. [Give exact answers in form of fraction.] f left-parenthesis x right-parenthesis equals left-parenthesis 4divided by 5right-parenthesis left-parenthesis 1 divided by 5right-parenthesis Superscript x , x equals Number 0 , 1 , 2 , . . .

Given f(t) = 282 - 53 +1, determine the function value f(2). do not include f(z) = in your answer

Polygons efgh and e′f′g′h′ are shown on the coordinate grid: what set of transformations is performed on efgh to form e′f′g′h′? a. a translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin b. a translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin c. a 90-degree clockwise rotation about the origin followed by a translation 2 units to the right d. a 90-degree clockwise rotation about the origin followed by a translation 2 units to the left

The measure of one angle of an octagon is two times smaller that of the other seven angles. what is the measure of each angle?