Answer:
0.97547
Step-by-step explanation:
Given That:
Mean (m) = 102
Standard deviation (σ) = 12
Sample size (n) = 63
Probability that sample mean would differ from Population mean by less than 3.4 watts
P(m - s < X < m + s)
P(102 - 3.4 < Z < 102 + 3.4)
Using the Z formula :
Zscore = (x - m) / (σ/√n)
x = 102 - 3.4 = 98.6 ; x = 102 + 3.4 = 105.4
Z = (98.6 - 102) / (12/√63) = −2.248888
P(Z < - 2.2488) = 0.012263 (Z probability calculator)
Z = (105.4 - 102) / (12/√63) = 2.2488886
P(Z < 2.2488) = 0.98774 (Z probability calculator)
0.98774 - 0.012263 = 0.97547
Answer:
Aaron Burr wasn't a brilliant politician.
Step-by-step explanation:
Aaron Burr was an American politician and the third Vice President of the United States from 1801 to 1805. In 1800, he ran for the Democratic-Republicans with Thomas Jefferson. Jefferson was supposed to be president and Burr vice president, but the then presidential election rules gave Jefferson and Burr equal votes in the Electoral College, and the election was ultimately decided in the House of Representatives. There, it were Jefferson and Burr's political rivals, the Federalists, who made the difference. Alexander Hamilton, the leader of the Federalists, eventually urged his party to back Jefferson, which helped make Hamilton and Burr deadly rivals. Burr had to settle for vice president under Jefferson.
On July 11, 1804, Burr challenged Hamilton to a duel in which Burr would fire the deadly shot. Burr was charged with murder in two states, but never prosecuted. After a short flight south, Burr returned to Washington to serve his term as vice president.
After his term, Burr was suspected of involvement in a plot to create a separate republic in the then Southwestern US, headed by himself. For this he was arrested in 1807. He was tried for treason but was acquitted. After a stay abroad, Burr returned to New York in 1812 and resumed his career as a lawyer. He died in 1836 at the age of eighty and was buried in Princeton, New Jersey.
Answer:
D
Step-by-step explanation:
S = d/t
st = d
t = d/s
The time going is t1.
The time returning is t2.
The total time is 4 hours, so we have t1 + t2 = 4
The speed of the current is c.
The speed going is 9 + c.
The speed returning is 9 - c.
t1 = 16/(9 + c)
t2 = 16/(9 - c)
t1 + t2 = 16/(9 + c) + 16/(9 - c)
4 = 16/(9 - c) + 16/(9 + c)
1 = 4/(9 - c) + 4/(9 + c)
(9 + c)(9 - c) = 4(9 - c) + 4(9 + c)
81 - c^2 = 36 - 4c + 36 + 4c
81 - c^2 = 72
c^2 = 9
c^2 - 9 = 0
(c + 3)(c - 3) = 0
c + 3 = 0 or c - 3 = 0
c = -3 or c = 3
We discard the negative answer, and we get c = 3.
The speed of the current is 3 mph.
I think the answer is x=-8
you are basically simplifying both sides of the equation..then isolating the variable
