Answer: ![x=-5](https://tex.z-dn.net/?f=x%3D-5)
Step-by-step explanation:
You need to find the value of the variable "x".
Solve for "x":
Subtract
from both sides of the equation:
Add
to both sides of the equation:
![-\frac{1}{6}x-\frac{1}{2}+\frac{1}{2} =\frac{1}{3}+\frac{1}{2}\\\\-\frac{1}{6}x=\frac{5}{6}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B6%7Dx-%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B1%7D%7B2%7D%20%3D%5Cfrac%7B1%7D%7B3%7D%2B%5Cfrac%7B1%7D%7B2%7D%5C%5C%5C%5C-%5Cfrac%7B1%7D%7B6%7Dx%3D%5Cfrac%7B5%7D%7B6%7D)
Multiply both sides of the equation by -6:
![(-\frac{1}{6}x)(-6)=(\frac{5}{6})(-6)\\\\x=-5](https://tex.z-dn.net/?f=%28-%5Cfrac%7B1%7D%7B6%7Dx%29%28-6%29%3D%28%5Cfrac%7B5%7D%7B6%7D%29%28-6%29%5C%5C%5C%5Cx%3D-5)
Step-by-step explanation:
Hey there!
Given;
The line passed through point (8,4) and made slope (-3/4).
<u>Note</u><u>:</u><u> </u><u>Use</u><u> </u><u>one-po</u><u>int</u><u> formula</u><u>.</u>
![(y - y1) = m(x - x1)](https://tex.z-dn.net/?f=%28y%20-%20y1%29%20%3D%20m%28x%20-%20x1%29)
Put all values.
![(y - 4) = \frac{ - 3}{4} (x - 8)](https://tex.z-dn.net/?f=%28y%20-%204%29%20%3D%20%20%5Cfrac%7B%20-%203%7D%7B4%7D%20%28x%20-%208%29)
![y - 4 = - \frac{3}{4} x - \frac{3}{4} \times - 8](https://tex.z-dn.net/?f=y%20-%204%20%3D%20%20-%20%20%5Cfrac%7B3%7D%7B4%7D%20x%20-%20%20%5Cfrac%7B3%7D%7B4%7D%20%20%5Ctimes%20%20-%208)
![y - 4 = - \frac{3}{4} x + 6](https://tex.z-dn.net/?f=y%20-%204%20%3D%20%20-%20%20%5Cfrac%7B3%7D%7B4%7D%20x%20%2B%206)
![y = - \frac{3}{4} x + 6 + 4](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%5Cfrac%7B3%7D%7B4%7D%20x%20%2B%206%20%20%2B%204)
<u>There</u><u>fore</u><u>,</u><u> </u><u>the</u><u> </u><u>equation</u><u> is</u><u>:</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>-</u><u>3</u><u>/</u><u>4</u><u>x</u><u> </u><u>+</u><u>1</u><u>0</u><u>.</u>
<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> </u></em><em><u>he</u></em><em><u>lps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Firstly, let's take first factor:
(y^3)^2 = y^(3*2) = y^6
and then:
y^6 * y^7 = y^(6 + 7) = y^13
Answer:
0.068 or 6.826%
Step-by-step explanation:
In order to calculate the proportion of disks that are defective, we need to divide the number of defective disks by the total amount of disks that were chosen in the given sample. Using the data provided this would be the following calculation...
37 / 542 = 0.068
We can multiply this by 100 to get the percentage value
0.068 * 100 = 6.826%
Therefore, roughly 6.826% of the entire disk population would be defective.