Answer:
square root of 25=5 and square root of (x+9)=(x+9) so the answer is.... x+9=+-5
Step-by-step explanation:
Answer:
A human hair is 0.0008 meters thicker.
i think....
Step-by-step explanation:
Answer:
The 90% confidence interval for population mean is ![14.7 < \mu < 19.1](https://tex.z-dn.net/?f=14.7%20%20%3C%20%20%5Cmu%20%20%3C%20%2019.1)
Step-by-step explanation:
From the question we are told that
The sample mean is ![\= x = 16.9](https://tex.z-dn.net/?f=%5C%3D%20x%20%20%3D%20%2016.9)
The confidence level is ![C = 0.90](https://tex.z-dn.net/?f=C%20%20%3D%20%200.90)
The sample size is ![n = 45](https://tex.z-dn.net/?f=n%20%20%3D%20%2045)
The standard deviation
Now given that the confidence level is 0.90 the level of significance is mathematically evaluated as
![\alpha = 1-0.90](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%201-0.90)
![\alpha = 0.10](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%20%200.10)
Next we obtain the critical value of
from the standardized normal distribution table. The values is ![Z_{\frac{\alpha }{2} } = 1.645](https://tex.z-dn.net/?f=Z_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%3D%20%201.645)
The reason we are obtaining critical values for
instead of that of
is because
represents the area under the normal curve where the confidence level 1 -
(90%) did not cover which include both the left and right tail while
is just considering the area of one tail which is what we required calculate the margin of error
Generally the margin of error is mathematically evaluated as
![MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }](https://tex.z-dn.net/?f=MOE%20%20%3D%20%20Z_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%20%5Cfrac%7B%5Csigma%20%7D%7B%5Csqrt%7Bn%7D%20%7D)
substituting values
![MOE = 1.645* \frac{ 9 }{\sqrt{45} }](https://tex.z-dn.net/?f=MOE%20%20%3D%201.645%2A%20%20%5Cfrac%7B%209%20%7D%7B%5Csqrt%7B45%7D%20%7D)
![MOE = 2.207](https://tex.z-dn.net/?f=MOE%20%20%3D%202.207)
The 90% confidence level interval is mathematically represented as
![\= x - MOE < \mu < \= x + MOE](https://tex.z-dn.net/?f=%5C%3D%20x%20%20-%20%20MOE%20%20%3C%20%20%5Cmu%20%20%3C%20%20%5C%3D%20x%20%20%2B%20%20MOE)
substituting values
![16.9 - 2.207 < \mu < 16.9 + 2.207](https://tex.z-dn.net/?f=16.9%20-%20%202.207%20%20%3C%20%20%5Cmu%20%20%3C%20%2016.9%20%2B%20%202.207)
![16.9 - 2.207 < \mu < 16.9 + 2.207](https://tex.z-dn.net/?f=16.9%20-%20%202.207%20%20%3C%20%20%5Cmu%20%20%3C%20%2016.9%20%2B%20%202.207)
![14.7 < \mu < 19.1](https://tex.z-dn.net/?f=14.7%20%20%3C%20%20%5Cmu%20%20%3C%20%2019.1)
Explain how you can use a straightedge and a compass to construct and angle that is both congruent and adjacent to a given angle?
Answer: for this you will simply have to use the straightedge to draw two parallel lines and then you draw a line that goes through them that is perpendicular. You then use the compass to measure the angles, they should be congruent and adjacent.
I hope it helps, Regards.