Hi there!
![\large\boxed{k = 95}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bk%20%3D%2095%7D)
Use PEMDAS:
Evaluate inside of parenthesis:
(264 + 3 × 7)
Multiply:
(264 + 21)
Add:
285
Divide by 3:
285 ÷ 3 = 95
Answer:
![y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B%5Cdisplaystyle%203%7D%7B%5Cdisplaystyle%2050%7Dx%2B%5Cfrac%7B%5Cdisplaystyle%2013%7D%7B%5Cdisplaystyle%2010%7D)
Step-by-step explanation:
Hi there!
Slope-intercept form:
where
is the slope and
is the y-intercept (the value of y when x is 0)
<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>
where two given points are
and ![(x_2,y_2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29)
Plug in the given points (15,2.2) and (5,1.6):
![m=\frac{\displaystyle 1.6-2.2}{\displaystyle 5-15}\\\\m=\frac{\displaystyle -0.6}{\displaystyle -10}\\\\m=\frac{\displaystyle 0.6}{\displaystyle 10}\\\\m=\frac{\displaystyle 0.3}{\displaystyle 5}\\\\m=\frac{\displaystyle 3}{\displaystyle 50}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B%5Cdisplaystyle%201.6-2.2%7D%7B%5Cdisplaystyle%205-15%7D%5C%5C%5C%5Cm%3D%5Cfrac%7B%5Cdisplaystyle%20-0.6%7D%7B%5Cdisplaystyle%20-10%7D%5C%5C%5C%5Cm%3D%5Cfrac%7B%5Cdisplaystyle%200.6%7D%7B%5Cdisplaystyle%2010%7D%5C%5C%5C%5Cm%3D%5Cfrac%7B%5Cdisplaystyle%200.3%7D%7B%5Cdisplaystyle%205%7D%5C%5C%5C%5Cm%3D%5Cfrac%7B%5Cdisplaystyle%203%7D%7B%5Cdisplaystyle%2050%7D)
Therefore, the slope of the line is
. Plug this into
:
![y=\frac{\displaystyle 3}{\displaystyle 50}x+b](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B%5Cdisplaystyle%203%7D%7B%5Cdisplaystyle%2050%7Dx%2Bb)
<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>
![y=\frac{\displaystyle 3}{\displaystyle 50}x+b](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B%5Cdisplaystyle%203%7D%7B%5Cdisplaystyle%2050%7Dx%2Bb)
Plug in a given point and solve for b:
![1.6=\frac{\displaystyle 3}{\displaystyle 50}(5)+b\\\\1.6=\frac{\displaystyle 3}{\displaystyle 10}+b\\\\1.6-\frac{\displaystyle 3}{\displaystyle 10}=\frac{\displaystyle 3}{\displaystyle 10}+b-\frac{\displaystyle 3}{\displaystyle 10}\\\\\frac{\displaystyle 13}{\displaystyle 10}=b](https://tex.z-dn.net/?f=1.6%3D%5Cfrac%7B%5Cdisplaystyle%203%7D%7B%5Cdisplaystyle%2050%7D%285%29%2Bb%5C%5C%5C%5C1.6%3D%5Cfrac%7B%5Cdisplaystyle%203%7D%7B%5Cdisplaystyle%2010%7D%2Bb%5C%5C%5C%5C1.6-%5Cfrac%7B%5Cdisplaystyle%203%7D%7B%5Cdisplaystyle%2010%7D%3D%5Cfrac%7B%5Cdisplaystyle%203%7D%7B%5Cdisplaystyle%2010%7D%2Bb-%5Cfrac%7B%5Cdisplaystyle%203%7D%7B%5Cdisplaystyle%2010%7D%5C%5C%5C%5C%5Cfrac%7B%5Cdisplaystyle%2013%7D%7B%5Cdisplaystyle%2010%7D%3Db)
Therefore, the y-intercept is
. Plug this back into
:
![y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B%5Cdisplaystyle%203%7D%7B%5Cdisplaystyle%2050%7Dx%2B%5Cfrac%7B%5Cdisplaystyle%2013%7D%7B%5Cdisplaystyle%2010%7D)
I hope this helps!
0 I think hope it’s right
Answer:
Box plots
Step-by-step explanation:
Box plots only show the bounds of data results - you can't count the number of inputs/observations.