Let H = {2m : m ∈ Z}. A relation R is defined on the set Q+ of positive rational numbers by aRb if a/b ∈ H. (a) Show that R is an equivalence relation. (b) Describe the elements in the equivalence class [3].

Determine the number of outcomes in the event. decide whether the event is a simple event or not. upper a computer is used to select randomly a number between 1 and 9 comma inclusive. event upper b is selecting a number greater than 4. event upper b has nothing outcome(s). is the event a simple event? (yes or no) because event upper b has (fewer than, exactly, more than) one outcome.

The base of a triangle exceeds the height by 7 centimeters. if the area is 400 square centimeters, find the length of the base and the height of the triangle.

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