Answer:
$6,200
Step-by-step explanation:
The question is to find the expected value.
We know the expected value of a scenario is the sum of the products of each probability of event and its profit or loss.
There are 3 probabilities in the scenario:
Rainy: 20% = 20/100 = 0.2
Sunny: 50% = 50/100 = 0.5
Cloudy: Rest, which is 100 - (50+20) = 100 - 70 = 30% = 30/100 = 0.3
Now, the gain and loss is:
Rainy: Lose 5000 means -5000
Cloudy: Gain 4000 means +4000
Sunny: Gain 12,000 means +12,000
Now, the expected value is:
Expected Value = (0.2)(-5000) + (0.5)(12000) + (0.3)(4000) = $6,200
Y coordinate on solving both equations comes out to be 0
-2x+3y=-6
3y = -6+2x
put the value of 3y in equation 2nd
5x-2(-6+2x) =15
5x+12-4x = 15
x=3
put value of X in 3y = -6+2x
3y = -6+2*3 = -6+6 = 0
thus y = 0
Jackson achieved national distinction for his performance in the War of 1812. In the Battle of Horseshoe Bend, he oversaw the destruction of 15 percent of the Creek population; the treaty that ended hostilities forced the Creek to cede over 20 million acres of their ancestral lands. Jackson is most remembered for his performance in the Battle of New Orleans, during which he led his troops to a decisive victory over the British after the Treaty of Ghent had been signed and hostilities had officially ended.
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In December 1817, President James Monroe authorized Jackson to lead an offensive against the Seminole and Creek Indians in Georgia and Florida, sparking the First Seminole War. Jackson ordered his troops to destroy Seminole settlements, capture a Spanish fort, and execute two British citizens whom Jackson blamed for supporting the Seminoles against white people. In 1819, the Spanish ceded all of Florida to the United States in the Adams-Onís—or Transcontinental—Treaty.
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The election of 1828 and the Bank War
The presidential election of 1828 pitted incumbent John Quincy Adams against Andrew Jackson. Adams was the candidate of the National Republicans, while the party that arose around Jackson became known as the Jacksonian Democrats, or simply, the Democrats.
