This is a proportion question. We can express this as an equation where the answer is
x:
=
From there, you can just cross-multiply and divide to get:
A tenth of 250 is 25, so this is roughly
or
, so it'll be approximately 1.7 inches on the map.
1/3 of 12,000 ballots were thrown out.
1/3 * 12,000 = 12,000/3 = 4,000
4,000 ballots were thrown out.
12,000 - 4,000 = 8,000
There were 8,000 ballots left.
1/4 of 8,000 ballots are for candidate A.
1/4 * 8,000 = 8,000/4 = 2,000
Candidate A received 2,000 votes.
8,000 - 2,000 = 6,000
Candidate B received 6,000 votes.
First let's try to find the equation in this form : <span>y = mx + c
The gradient is given 3 . In a line's equation, x's coefficient represents the line's gradient.
So equation of a line with the gradient of 3, would look like this ;
</span>
<span>
Now a point that the line passes through is given, (1, 2)
This point's x-coordinate is 1 and y-coordinate is 2.
So we'll plug its x-coordinate value in the equation and also y-coordinate value. So we can solve it.
As you know, </span>
and
We found c = -1
Also in a line's equation, c is constant and it represents the line's y-intercept
So let's build the line's equation.
and
We found the line's equation in this form,
Now let's turn it into this form,
Final answers,
and
I hope this was clear enough :)
<span>
</span>
(8/9)^2 is just 8/9 squared, or 8/9 * 8/9. This is 64/81, and cannot be reduced. This is therefore our answer.
The median, because the data is not symmetric and there are outliers is the data is not symmetric and there are outliers.
The median of the data set is 8 cakes, while the average is 7.5.
However, 21 of the 31 chefs, or roughly 2/3, made 8 or more cakes. This makes the median a better center for this data, since the data is clearly skewed. The four chefs that made 1 cake each brings the average down, skewing the mean and making the median a better representation of the data.
