Answer:
Brainiest
Step-by-step explanation:
"The classical revival of the late eighth and early ninth centuries, without doubt, the most momentous and critical stage in the transmission of the legacy of Rome, was played out against the background of a reconstituted empire which stretched from the Elbe to the Ebro, Calais to Rome, welded together for a time into a political and spiritual whole by the commanding personality of an emperor who added to his military and material resources the blessing of Rome. Although the political achievement of Charlemagne (768-814) crumbled in the hands of his successors, the cultural movement which it fostered retained its impetus in the ninth century and survived into the tenth.
Answer:
1)
2) 49.225
3)
Step-by-step explanation:
1) To find the expected value of the dice we can use the following equation:
So in our problem the values x will be: 1/1, 1/2, 1/3, 1/4, 1/5 and 1/6 and the probavility for all values is 1/6 so the expected values will be:
2) To find the variance of the expected values we can use the equation:
So for our problem will be:
3) To find the expected value of the dice we can use the following equation:
So in our problem the values x will be: 1, 2, 3, 4, 5 and 6 and the probavility for all values is 1/6 so the expected values will be: