Y= -2.5
the midline is basically the line where the distance is the same to the line from the max and the min
Answer:
x > -3 and y ≥ 1/2x - 2
Step-by-step explanation:
blue line = x > -3
red line = pass (0, -2) (4, 0)
y = 1/2x - 2
<em>H</em><em>O</em><em>P</em><em>E</em><em> </em><em>T</em><em>H</em><em>I</em><em>S</em><em> </em><em>H</em><em>E</em><em>L</em><em>P</em><em>S</em><em> </em><em>A</em><em>N</em><em>D</em><em> </em><em>H</em><em>A</em><em>V</em><em>E</em><em> </em><em>A</em><em> </em><em>N</em><em>I</em><em>C</em><em>E</em><em> </em><em>D</em><em>A</em><em>Y</em><em> </em><em><</em><em>3</em>
Answer: 12
Step-by-step explanation:
The formula to find the sample size is given by:-
, where
is the population standard deviation,
is the z-value for the
confidence interval and E is the margin of error .
As per given , we have
Population standard deviation : ![\sigma=5.1](https://tex.z-dn.net/?f=%5Csigma%3D5.1)
z-value for 95% confidence interval : ![z_c=1.960](https://tex.z-dn.net/?f=z_c%3D1.960)
Margin of error : E= 3
Then, the required minimum sample :-
![n=(\dfrac{(1.96)\cdot (5.1)}{3})^2\\\\\Rightarrow\ n=(3.332)^2=11.102224\approx12](https://tex.z-dn.net/?f=n%3D%28%5Cdfrac%7B%281.96%29%5Ccdot%20%285.1%29%7D%7B3%7D%29%5E2%5C%5C%5C%5C%5CRightarrow%5C%20n%3D%283.332%29%5E2%3D11.102224%5Capprox12)
Hence, the required minimum sample size = 12
Answer: 5. AE
6. 6cm
7. 20 in
8. Angle DCF
Step-by-step explanation: