Answer:
A. 0.020
Step-by-step explanation:
we calculate the standard error of the sample mean with the formula,
,
with E= standard error of the sample mean
s= standard deviation
n= sample
So,
s= 0.2
n= 100
![E=\frac{0.2}{\sqrt{100} } =\frac{0.2}{10}=0.02](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B0.2%7D%7B%5Csqrt%7B100%7D%20%7D%20%3D%5Cfrac%7B0.2%7D%7B10%7D%3D0.02)
is the only irrational number on the list. As a reminder, an <em>irrational number</em> is one which can't be written as a ratio of two integers.
With a little scratch work, we can show that
can be written this way:
![x = 4.\overline{8}\\10x=48.\overline{8}\\10x-x=48.\overline{8}-4.\overline{8}\\9x=44\\x=\frac{44}{9}](https://tex.z-dn.net/?f=%20x%20%3D%204.%5Coverline%7B8%7D%5C%5C10x%3D48.%5Coverline%7B8%7D%5C%5C10x-x%3D48.%5Coverline%7B8%7D-4.%5Coverline%7B8%7D%5C%5C9x%3D44%5C%5Cx%3D%5Cfrac%7B44%7D%7B9%7D%20%20)
And
, which can be written as a ratio like
, or any other where the numerator is 3 times larger than the denominator.
A proof of the irrationality of
is pretty involved and advanced, so you'll just have to take my word for it for now!
Answer:
10
Step-by-step explanation:
Use order of Operations - PEMDAS
First, (2x3) = 6
Now you have, 1+6-(-3)
Then take the -(-3) and make it +3, cause a subtraction and negative sign make a positive.
Now you have, 1+6+3
Then add it all together to get 10
14.6428 in decimal , in fraction 14 16/25