Answer:
B
Step-by-step explanation:
cause on T4L you have to round it to the nearest whole and I put B and it was correct.
Answer:
![\displaystyle y=-\frac{1}{5}x+\frac{17}{5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%3D-%5Cfrac%7B1%7D%7B5%7Dx%2B%5Cfrac%7B17%7D%7B5%7D)
Step-by-step explanation:
<u>Equation of a line</u>
A line can be represented by an equation of the form
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.
We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.
Two lines with slopes m1 and m2 are perpendicular if:
![m_1.m_2=-1](https://tex.z-dn.net/?f=m_1.m_2%3D-1)
The given line has a slope m1=5, thus the slope of our required line is:
![\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m_2%3D-%5Cfrac%7B1%7D%7Bm_1%7D%3D-%5Cfrac%7B1%7D%7B5%7D)
The equation of the line now can be expressed as:
![\displaystyle y=-\frac{1}{5}x+b](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%3D-%5Cfrac%7B1%7D%7B5%7Dx%2Bb)
We need to find the value of b, which can be done by using the point (7,2):
![\displaystyle 2=-\frac{1}{5}*7+b](https://tex.z-dn.net/?f=%5Cdisplaystyle%202%3D-%5Cfrac%7B1%7D%7B5%7D%2A7%2Bb)
Operating:
![\displaystyle 2=-\frac{7}{5}+b](https://tex.z-dn.net/?f=%5Cdisplaystyle%202%3D-%5Cfrac%7B7%7D%7B5%7D%2Bb)
Multiplying by 5:
![10=-7+5b](https://tex.z-dn.net/?f=10%3D-7%2B5b)
Operating:
![10+7=5b](https://tex.z-dn.net/?f=10%2B7%3D5b)
Solving for b:
![\displaystyle b=\frac{17}{5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20b%3D%5Cfrac%7B17%7D%7B5%7D)
The equation of the line is:
![\boxed{\displaystyle y=-\frac{1}{5}x+\frac{17}{5}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cdisplaystyle%20y%3D-%5Cfrac%7B1%7D%7B5%7Dx%2B%5Cfrac%7B17%7D%7B5%7D%7D)
Answer:
C
Step-by-step explanation:
9:7
Ratios are always simplified so by dividing both 18 and 14 by 2 you get 9 and seven. Because yellow triangles is stated first the 9 is put before the 7 blue triangles.
Answer:
we can not reject any value
Step-by-step explanation: From data we can test the highest and the lowest value to evaluate if one of these values are out of certain confidence Interval
If we established CI = 95 % then α = 5 % and α/2 = 0,025
From data we find the mean of the values
μ₀ = 12,03 and σ = 0,07
From z table we find z score for 0,025 is z(c) = ± 1,96
So limits of our CI are:
12,03 + 1,96 = 13,99
12,03 - 1,96 = 10,07
And all our values are within ( 10,07 , 13,99)
So we can not reject any value