Answer:
x ≥83%
Step-by-step explanation:
77%+x/2=80% (×b.s by 2)
77%+x=160%
x=160%-77%
x=83%
Answer:
The answer is -1 or 9
The quadratic equation is ax² + bx + c = 0. But, by completing the square we turn it into: a(x + d)² + e = 0, where:
d = b/2a
e = c - b²/4a
Our quadratic equation is x² - 8x = 9, which is after rearrangement:
x² - 8x - 9 = 0
So, a = 1, b = -8, c = -9
Let's first calculate d and e:
d = b/2a = -8/(2 * 1) = -8/2 = -4
e = c - b²/4a = -9 - (-8)²/(4 * 1) = -9 - 64/4 = -9 - 16 = -25
By completing the square we have:
a(x + d)² + e = 0
1(x + (-4))² + (-25) = 0
(x - 4)² - 25 = 0
(x - 4)² = 25
⇒ x - 4 = √25
Since √25 can be either -5 or +5 , then:
x - 4 = -5 or x - 4 = 5
x = -5 + 4 or x = 5 + 4
x = -1 or x = 9
Step-by-step explanation:
There's 30 hundreths.
For a better answer, 30.8 hundredths or 0.
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:
So, we have:
Simplify
<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
