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
2/45 or 0.0444....
Hope this helped
Answer:
65°
Step-by-step explanation:
The sum of the angles of a triangle is always 180°. Meaning, ∠P + ∠Q + ∠R = 180.
(2x-9) + (2x+4) + x = 180
Combine like terms:
5x-5 = 180
5x = 185
x = 37
P = (2x - 9) = 2(37) - 9 = 74 - 9 = 65
The two planes are flying in opposite directions.One plane travels at 560miles per hour and the other travels at a speed of 500 miles per hour. As time proceeds, they would travel further from each other and that can be described by the equation that follows:
560(t)+500(t) =2000, since we are given a 2000 distance limit. Then we are to find the time when they are at this distance. Solve for t, which is equal to 0.53 hours or 32 minutes.
Given
x^2+y^2=9 ................(1)
x^2/3^2-y^2/3^2=1......(2)
Multiply (2) by 9 on both sides to give
x^2-y^2=9..................(2a)
Then (1) and (2a) make a "sum and difference" problem, where
x^2=(9+9)/2=9 => x=+3 or -3
y^2=(9-9)/2 = 0 => y=0
which gives us the solutions
(x,y)={(3,0),(-3,0)}