It is believed that 43% of the us population can play the piano, 28% can play the guitar, 15% can play the harmonica, 12% can play the drums, and 2% can play other instruments. you want to take a simple random sample of individuals to test this claim. what is the smallest number of people required for the sample to meet the conditions for performing inference? 250 150 100 43 2

The roman empire fell around the 5th century, and as islam spread in the 7th century, trade between europe and china slowed. chinese traders were blocked from westward expansion into europe when the chinese army was defeated by muslim fighters in the area known as syr darya. the trade routes, known as the silk road, fell into disuse, and trade between the far east and europe nearly stopped. it wasn't until the 13th century when the mongols invaded and controlled central asia and large parts of the middle east that extensive trade along these routes was opened again. based upon the paragraph above and your knowledge of the mongols, which of the following statements is correct? a. the mongols unified regions along the silk road, allowing for safe transport of goods. b. muslims controlled busy trade routes into china from the 5th to the 7th centuries. c. without access to european markets, the chinese were unable to obtain raw materials. d. the mongols replaced the roman empire as the dominant force in western europe.

Which of the following is characteristic of an ethnic religion? a.) the religion has spread far beyond its hearth. b.) the religion is not focused on a particular region. c.) the religion is centered on the message of a prophet. d.) the religion attempts to appeal to people everywhere. e.) the religion does not actively try to convert others

Abdid is an astronomer who has been observing objects that orbit the sun in the asteroid belt. he finds a previously undiscovered round, rocky object that is not similar in shape to the rest of the asteroids. what has abdid most likely found?