Answer:8
Step-by-step explanation:
3 3 4 4 4 6 6 8 8 9
data in upper quartile section are 6 8 8 9
We therefore find the median of 6 8 8 9
The median is the upper quartile
Upper quartile=(8+8)/2
Upper quartile=16/2
Upper quartile=8
Answer:
![\displaystyle 2x + 3y = 25\:OR\:y = -\frac{2}{3}x + 8\frac{1}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%202x%20%2B%203y%20%3D%2025%5C%3AOR%5C%3Ay%20%3D%20-%5Cfrac%7B2%7D%7B3%7Dx%20%2B%208%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
First, find the <em>rate of change</em> [<em>slope</em>]:
![\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-7 + 9}{-2 - 1} = -\frac{2}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B-y_1%20%2B%20y_2%7D%7B-x_1%20%2B%20x_2%7D%20%3D%20m%20%5C%5C%20%5C%5C%20%5Cfrac%7B-7%20%2B%209%7D%7B-2%20-%201%7D%20%3D%20-%5Cfrac%7B2%7D%7B3%7D)
Now plug these coordinates into the Slope-Intercept Formula instead of the <em>Point-Slope</em><em> </em><em>Formula</em>, since it is much swifter that way. It does not matter which ordered pair you choose:
9 = ⅔ + b
![\displaystyle 8\frac{1}{3} = b \\ \\ y = -\frac{2}{3}x + 8\frac{1}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%208%5Cfrac%7B1%7D%7B3%7D%20%3D%20b%20%5C%5C%20%5C%5C%20y%20%3D%20-%5Cfrac%7B2%7D%7B3%7Dx%20%2B%208%5Cfrac%7B1%7D%7B3%7D)
If you want it in <em>Standard</em><em> </em><em>Form</em>:
y = −⅔x + 8⅓
+ ⅔x + ⅔x
____________
⅔x + y = 8⅓ [We do not want fractions in our standard equation, so multiply by the denominator to get rid of it.]
3[⅔x + y = 8⅓]
![\displaystyle 2x + 3y = 25](https://tex.z-dn.net/?f=%5Cdisplaystyle%202x%20%2B%203y%20%3D%2025)
_______________________________________________
7 = −⅔[2] + b
−1⅓
![\displaystyle 8\frac{1}{3} = b \\ \\ y = -\frac{2}{3}x + 8\frac{1}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%208%5Cfrac%7B1%7D%7B3%7D%20%3D%20b%20%5C%5C%20%5C%5C%20y%20%3D%20-%5Cfrac%7B2%7D%7B3%7Dx%20%2B%208%5Cfrac%7B1%7D%7B3%7D)
If you want it in <em>Standard Form</em>:
y = −⅔x + 8⅓
+ ⅔x + ⅔x
____________
⅔x + y = 8⅓ [We do not want fractions in our standard equation, so multiply by the denominator to get rid of it.]
3[⅔x + y = 8⅓]
![\displaystyle 2x + 3y = 25](https://tex.z-dn.net/?f=%5Cdisplaystyle%202x%20%2B%203y%20%3D%2025)
** You see? I told you that it did not matter which ordered pair you choose [as long your <em>rate of change</em> is correct] because you will ALWAYS get the exact same result.
I am joyous to assist you anytime.
nothing lol
Step-by-step explanation:
I'm not going to help you lol lol
It is 5/3 !! 8^(5/3)=....32!
Answer:AC = 20
BK = 9.6
Step-by-step explanation:
AC is found using the Pythagorean theorem in the usual way:
AC² = AB² + BC²
AC² = 12² + 16² = 144 +256 = 400
AC = √400
AC = 20
You may recognize this is a 3-4-5 triangle scaled by a factor of 4.
__
Then BK is found using similar triangles. All of the triangles in the figure are similar*, so ...
long side / hypotenuse = BC/AC = BK/AB
BK = AB(BC/AC) = 12(16/20) = 12×0.8
BK = 9.6