Answer:
-0.9090... can be written as 
.
Explanation:
Any <em>repeating </em>decimal can be written as a fraction by dividing the section of the pattern to be repeated <em>by </em>9's.
We can start by listing out
0.909090... = 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...
Now. we let this series be equal to x, that is
= 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...
Now, we'll multiply both sides by 100
.
= 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + ...
Then, subtract the 1st equation from the second like so:
= 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...
= - 9/10 - 0/100 - 9/1000 - 0/10000 - 9/100000 - 0/1000000 - ...
And we end up with this:
Finally, we divide both sides by 99 in order to isolate x and get the fraction we're looking for.
Which can be reduced and simplified to
Hope this helps!
Answer:
b.
Step-by-step explanation:
Stem is the first digit and the leaf is the last digit.
Below the table is explained that 1 l 7 is 1.7 because it also could mean 17. So with that clear the terms from the Stem l Leaf are as follow:
1 combined with 3, 7 and 7:
1.3, 1.7 and 1.7
2 combined with 6, 8 and 8:
2.6, 2.8, 2.8
3 combined with 5 and 7:
3.5 and 3.7
All the terms:
1.3, 1.7, 1.7, 2.6, 2.8, 2.8, 3.5, 3.7
Answer:
A.)Line P, because it is closest to most data points
Step-by-step explanation:
The line of best fit is a line which best represents the data and the data points are closely related to it.
It is also known as a trend line.
The line of best fit may pass through, some , none or all of the data points.
Also if the scatter plot does not pass through all the data point then the magnitude of positive residual must be approximately equal to the magnitude of negative residual of the data points.
Hence, by looking at the scatter plot we see that all the data points lie above Line R.
Hence, the Line R will not be a line of best fit.
But all the data points lie close to the line P , hence it act as a line of best fit.
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X=20
If they're parallel the other number in the same spot as 5x+15 equals that, so 5x+15=115 because if they are parallel they're the same if same spot and same line going through them.
115-15 = 100
5x=100
Divide by 5 both sides
X=20
If x=20 then these lines would be parallel
