Slope is the rise over the run. In other words, the difference in y values divided by the difference in x values. Start at the bottom corner of the roof and count the tiles upwards until you get to the top tip of the roof. It should be 4. Now from that point, count over to the right until you are at the top. It should be 5.
So the slope is 4/5 or 0.8.
Answer:
$122.1
Step-by-step explanation:
We are given the following data in the question
$124, $256 , $118, $441, $122, $335, $340, $191
Step 1
Find the mean
Mean = Sum of Terms / Number of Terms
Number of Terms = 8
Mean = ($124 + $256 + $118 + $441 + $122 + $335 + $340 + $191 )/ 8
Mean = $1927/8
= $240.875
Approximately to 1 decimal place
$240.9
Step 2
Standard deviation formula
S = √( x - μ)²/ N - 1),
N = Number of terms
μ = Mean
S = √[($124 - $240.9)² + ($256 - $240.9)² + ($118 - $240.9)² + ($441 - $240.9)² + ($122 - $240.9)² + ($335 - $240.9)² + ($340 - $240.9)²+ ($191 -$240.9)²/ 8 - 1]
S = $122.0895
Approximately to 1 decimal place
S = $122.1
Therefore, the standard deviation for the given data is $122.1
Answer:
x = 18
Step-by-step explanation:
Given ![3 \sqrt[4]{(x-2)^3}-4 = 20](https://tex.z-dn.net/?f=3%20%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D-4%20%3D%2020)
now adding '4' on both sides, we get
![3 \sqrt[4]{(x-2)^3}-4+4= 20+4](https://tex.z-dn.net/?f=3%20%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D-4%2B4%3D%2020%2B4)
![3 \sqrt[4]{(x-2)^3} = 24](https://tex.z-dn.net/?f=3%20%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D%20%3D%2024)
i) ![3 \sqrt[4]{(x-2)^3}](https://tex.z-dn.net/?f=3%20%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D)
= <u>24</u>
cancelling '3' on both sides, we get
![\sqrt[4]{(x-2)^3} = 8](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D%20%3D%208)
ii) ![\sqrt[4]{(x-2)^3}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D)
= <u> 8</u>
<u>iii) </u>
<u></u>
<u></u>
<u></u>
iv) 
now simplify on both sides,we get
simplify we get solution is
<u>v) (x-2) </u>= 16
<u>vi) final answer is x = 16 +2 =18</u>
<u></u>
Answer:
x = 1
y = -4
Step-by-step explanation:
You can use 2 methods to solve this, substitution or elimination.
Elimination:
You want to try and get rid of one variable in the pair of equations.
We add them together since y and -y cancel each other out when added.
Now, we have a much simpler equation.
4x - y = 8
+ 6x + y = 2
------------------
10x = 10
x = 1
Now, you can just plug it back in to one of the equations to get y.
(4 x 1) - y = 8
4 - y = 8
y = -4
Substitution:
You can also try and change the equation so that there is only one variable by setting the other equation equal to a variable.
This one is easier to do:
6x + y = 2
y = -6x + 2
Now, plug it into the first equation replacing y, since they are equal, and solve:
4x - y = 8
4x - (-6x + 2) = 8
4x + 6x - 2 = 8
10x = 10
x = 1
Now, you can just plug it back in to one of the equations to get y.
6x + y = 2
(6 x 1) + y = 2
6 + y = 2
y = -4
:)
They're equal the 0 doesn't have to be added but it can be added by choice
