The question is an illustration of mean or averages.
<em>If he pours equal amount in the glasses, </em>
<em> would be in each glass</em>
<em>I've added as an attachment, the missing line plot.</em>
The data on the line plot can be represented as follows:
![\left[\begin{array}{cccccccc}x&7&7\frac 12&8&8\frac12&9&9\frac 12 & 10 \\f&0&0&2&1&4&1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccccc%7Dx%267%267%5Cfrac%2012%268%268%5Cfrac12%269%269%5Cfrac%2012%20%26%2010%20%5C%5Cf%260%260%262%261%264%261%260%5Cend%7Barray%7D%5Cright%5D)
Where:
<em />
<em> the glasses</em>
<em />
<em> number of ounces</em>
<em />
Glasses with no x on the line plot have a frequency of 0.
If he pours an equal amount of ounces in each glass, the amount in each glass is the mean.
The mean is then calculated as:
![\bar x = \frac{\sum fx}{\sum f}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B%5Csum%20fx%7D%7B%5Csum%20f%7D)
So, we have:
![\bar x = \frac{0 \times 7 + 7\frac 12 \times 0 + 8 \times 2 + 8\frac 12 \times 1 + 9 \times 4 + 9\frac 12 \times 1 + 10 \times 1}{0 + 0 + 2+1+4+1+0}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B0%20%5Ctimes%207%20%2B%207%5Cfrac%2012%20%5Ctimes%200%20%2B%208%20%5Ctimes%202%20%2B%208%5Cfrac%2012%20%5Ctimes%201%20%2B%209%20%5Ctimes%204%20%2B%209%5Cfrac%2012%20%5Ctimes%201%20%2B%2010%20%5Ctimes%201%7D%7B0%20%2B%200%20%2B%202%2B1%2B4%2B1%2B0%7D)
![\bar x = \frac{0 + 0 + 16 + 8\frac 12 + 36 + 9\frac 12+ 10}{8}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B0%20%2B%200%20%2B%2016%20%2B%208%5Cfrac%2012%20%2B%2036%20%2B%209%5Cfrac%2012%2B%2010%7D%7B8%7D)
![\bar x = \frac{70}{8}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B70%7D%7B8%7D)
Simplify
![\bar x = 8\frac{3}{4}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%208%5Cfrac%7B3%7D%7B4%7D)
<em>Hence, if he pours equal amount in the glasses, </em>
<em> would be in each glass</em>
<em />
Read more about mean at:
brainly.com/question/2018505
Answer:
11.47
Step-by-step explanation:
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
Find the last side of the triangle using the Pythagorean theorem.
<em>good luck, i hope this helps :)
</em>
Put the values where the variables are, then do the arithmetic.
8 - 8/2 +7² = 8 - 4 + 49 = 53
I think if you do 0.25 Subtract 7.5 then you will get you answer then you can multiply the answer you have with the number 0.25 and see if yo can get 7.5
Answer:
42$
Step-by-step explanation:
So there's an easy way to know this.
100%--$70
60%--x
<em>cross multiply </em>
100x=4200
÷100 ÷100
______________
x=42
So he saved 42$. Hope this helps :D