Using it's concept, it is found that the median number of monthly absences is of 13.
The <em>median </em>of a data-set is the <u>value that separates the bottom 50% of the data-set from the upper 50%</u>.
The first step is ordering the data-set, hence:
2, 10, 12, 14, 16, 18
In this problem, the cardinality is of 6, which is a even number.
- Hence, the median is the <u>mean of the 6/2 = 3rd and 4th elements</u>.
Then:
![\frac{12 + 14}{2} = 13](https://tex.z-dn.net/?f=%5Cfrac%7B12%20%2B%2014%7D%7B2%7D%20%3D%2013)
The median number of monthly absences is of 13.
To learn more about the median, you can take a look at brainly.com/question/10322579
Both <em>Px</em> + <em>Qy</em> = <em>R</em> and <em>Tx</em> + <em>Uy</em> = <em>V</em> have the same solution (2, 9), meaning the point (2, 9) lies on both lines such that <em>x</em> = 2 and <em>y</em> = 9 makes both equations true.
When you add these equations together, you get
(<em>Px</em> + <em>Qy</em>) + (<em>Tx</em> + <em>Uy</em>) = <em>R</em> + <em>V</em>
→ (<em>P</em> + <em>T</em> ) <em>x</em> + (<em>Q</em> + <em>U</em> ) <em>y</em> = <em>R</em> + <em>V</em>
so the first option is equivalent.
When you subtract the first equation from the second, you get
(<em>Tx</em> + <em>Uy</em>) - (<em>Px</em> + <em>Qy</em>) = <em>V</em> - <em>R</em>
→ (<em>T</em> - <em>P</em>) <em>x</em> + (<em>U</em> - <em>Q</em>) <em>y</em> = <em>V</em> - <em>R</em>
so the third option is also equivalent.
Hey there! I'm happy to help!
First, let's find the length of GA. We can just subtract all of the other sides from the perimeter to find this.
172-56-56-35=25
We see that E'M' is 14 and EM is 35.
35/14=2.5
This means that all of the sides on the big pinball machine are 2.5 times bigger than those of the smaller one.
So, we take the length of GA and then divide it by 2.5 to see how big G'A' is.
25/2.5=10
Therefore, the length of G'A' is 10 inches.
I hope that this helps! Have a wonderful day! :D
Elyse should put 48 cups of water to mix the fruit drink.
Step-by-step explanation:
From the given question she knows 4 cups in 1 quart and
4 quarts in 1 gallon.
Elyse can use the unit rate. First she can fill 4 cups by water to find that there are 16 cups in 1 gallon.
She can then fill 3 gallons by water to determine that she will need 48 cups of water to mix the fruit drink.
Product means multiply, so the product of 12 and 8 would be written as 12 x 8
Then you want 6 less than that so you need to subtract 6
The equation should look like (12 x 8) - 6