Answer:
The result is
units.
Step-by-step explanation:
The coordinates for A and B:
A = (-2, 0)
B = (2, 2)
-To find the distance between A and B, you need the distance formula:
Where the first coordinate is
and the second coordinate is
.
-Use the coordinates A and B for the equation:

-Then, you solve the equation:





So, therefore the distance is
units.
Answer:
Step-by-step explanation:
You can use Pythagoras Theorem,

∴
Hope that helps!!
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Answer:
x = 35 degrees
Step-by-step explanation:
the little box on the left side of the ttriangle means that is a 90 degrees angle.
So you add 55 + 90 = 145
Then subtract 180 - 145
which gives you 35
Answer:
The interval [32.6 cm, 45.8 cm]
Step-by-step explanation:
According with the <em>68–95–99.7 rule for the Normal distribution:</em> If
is the mean of the distribution and s the standard deviation, around 68% of the data must fall in the interval
![\large [\bar x - s, \bar x +s]](https://tex.z-dn.net/?f=%5Clarge%20%5B%5Cbar%20x%20-%20s%2C%20%5Cbar%20x%20%2Bs%5D)
around 95% of the data must fall in the interval
around 99.7% of the data must fall in the interval
![\large [\bar x -3s, \bar x +3s]](https://tex.z-dn.net/?f=%5Clarge%20%5B%5Cbar%20x%20-3s%2C%20%5Cbar%20x%20%2B3s%5D)
So, the range of lengths that covers almost all the data (99.7%) is the interval
[39.2 - 3*2.2, 39.2 + 3*2.2] = [32.6, 45.8]
<em>This means that if we measure the upper arm length of a male over 20 years old in the United States, the probability that the length is between 32.6 cm and 45.8 cm is 99.7%</em>