Answer:
GHF = EDF
Step-by-step explanation:
Those two tringles are the only even triangles.
3(4x - 2) = 2(6x - 3)
12x - 6 = 12x - 6
Add 6 on both sides
12x = 12x
Divide by 12 on both sides
x = x
That means this has infinite solutions. Your answer is B.
Answer:
Explained below
Step-by-step explanation:
A) A skewed distribution in a dataset is when the median is not equal to the mean in such a manner that the bell curve is tilted to the left or right.
B) If in a data set, if there are outliers which are extremely large or extremely small in comparison to other values in that same dataset, then we can say that such a curve will be pulled towards the outlier and thus the distribution is skewed.
Also, if the curve is inclined to the left, it means there are few extreme values to the left and it is negatively skewed.
Similarly, if the curve is inclined to the right, it means there are few extreme values to the right and is positively skewed.
C) Example of a research question is;
If in a developed country where the poverty level is about 0%, if we collect the data of income of the households, we will discover majority of people with average income and very few people with extreme high levels of income. This condition means the data is positively skewed.
![Tan(x-\frac{\pi }{4}) = \frac{-17}{31}](https://tex.z-dn.net/?f=Tan%28x-%5Cfrac%7B%5Cpi%20%7D%7B4%7D%29%20%3D%20%5Cfrac%7B-17%7D%7B31%7D)
<u>Step-by-step explanation:</u>
Here we have , sin x=7/25( given sin x = 725 which is not possible ) ,
. Let's find tan (x - pi/4):
⇒ ![Tanx = \frac{sinx}{cosx}](https://tex.z-dn.net/?f=Tanx%20%3D%20%5Cfrac%7Bsinx%7D%7Bcosx%7D)
⇒ ![Tanx = \frac{sinx}{\sqrt{1-(sinx)^{2}}}](https://tex.z-dn.net/?f=Tanx%20%3D%20%5Cfrac%7Bsinx%7D%7B%5Csqrt%7B1-%28sinx%29%5E%7B2%7D%7D%7D)
⇒ ![Tanx = \frac{\frac{7}{25}}{\sqrt{1-(\frac{7}{25})^{2}}}](https://tex.z-dn.net/?f=Tanx%20%3D%20%5Cfrac%7B%5Cfrac%7B7%7D%7B25%7D%7D%7B%5Csqrt%7B1-%28%5Cfrac%7B7%7D%7B25%7D%29%5E%7B2%7D%7D%7D)
⇒ ![Tanx = {\frac{7}{25}}{\sqrt{(\frac{625}{625-49})^{}}}](https://tex.z-dn.net/?f=Tanx%20%3D%20%7B%5Cfrac%7B7%7D%7B25%7D%7D%7B%5Csqrt%7B%28%5Cfrac%7B625%7D%7B625-49%7D%29%5E%7B%7D%7D%7D)
⇒ ![Tanx = {\frac{7}{25}}(\frac{25}{24} )](https://tex.z-dn.net/?f=Tanx%20%3D%20%7B%5Cfrac%7B7%7D%7B25%7D%7D%28%5Cfrac%7B25%7D%7B24%7D%20%29)
⇒ ![Tanx = {\frac{7}{24}}](https://tex.z-dn.net/?f=Tanx%20%3D%20%7B%5Cfrac%7B7%7D%7B24%7D%7D)
Now , ![Tan(x-\frac{\pi }{4}) = \frac{Tanx - Tan(\frac{\pi }{4} )}{1+ Tanx(Tan(\frac{\pi }{4} )}](https://tex.z-dn.net/?f=Tan%28x-%5Cfrac%7B%5Cpi%20%7D%7B4%7D%29%20%3D%20%5Cfrac%7BTanx%20-%20Tan%28%5Cfrac%7B%5Cpi%20%7D%7B4%7D%20%29%7D%7B1%2B%20Tanx%28Tan%28%5Cfrac%7B%5Cpi%20%7D%7B4%7D%20%29%7D)
⇒ ![Tan(x-\frac{\pi }{4}) = \frac{Tanx -1}{1+ Tanx(1)}](https://tex.z-dn.net/?f=Tan%28x-%5Cfrac%7B%5Cpi%20%7D%7B4%7D%29%20%3D%20%5Cfrac%7BTanx%20-1%7D%7B1%2B%20Tanx%281%29%7D)
⇒ ![Tan(x-\frac{\pi }{4}) = \frac{\frac{7}{24} -1}{1+\frac{7}{24} }](https://tex.z-dn.net/?f=Tan%28x-%5Cfrac%7B%5Cpi%20%7D%7B4%7D%29%20%3D%20%5Cfrac%7B%5Cfrac%7B7%7D%7B24%7D%20%20-1%7D%7B1%2B%5Cfrac%7B7%7D%7B24%7D%20%7D)
⇒ ![Tan(x-\frac{\pi }{4}) = \frac{\frac{7-24}{24} }{\frac{7+24}{24} }](https://tex.z-dn.net/?f=Tan%28x-%5Cfrac%7B%5Cpi%20%7D%7B4%7D%29%20%3D%20%5Cfrac%7B%5Cfrac%7B7-24%7D%7B24%7D%20%7D%7B%5Cfrac%7B7%2B24%7D%7B24%7D%20%7D)
⇒ ![Tan(x-\frac{\pi }{4}) = \frac{-17}{24} (\frac{24}{31} )](https://tex.z-dn.net/?f=Tan%28x-%5Cfrac%7B%5Cpi%20%7D%7B4%7D%29%20%3D%20%5Cfrac%7B-17%7D%7B24%7D%20%28%5Cfrac%7B24%7D%7B31%7D%20%29)
⇒ ![Tan(x-\frac{\pi }{4}) = \frac{-17}{31}](https://tex.z-dn.net/?f=Tan%28x-%5Cfrac%7B%5Cpi%20%7D%7B4%7D%29%20%3D%20%5Cfrac%7B-17%7D%7B31%7D)
Answer:
190
Step-by-step explanation:
Data provided in the question:
Confidence level = 99%
Therefore,
α = 1% = 0.01
[ from standard normal table ]
z-value for
= 2.58
Margin of error, E = $0.06
Standard deviation, σ = $0.32
Now,
n = ![(\frac{z_{0.005}\sigma}{E})^2](https://tex.z-dn.net/?f=%28%5Cfrac%7Bz_%7B0.005%7D%5Csigma%7D%7BE%7D%29%5E2)
Here,
n is the sample size (or the minimum number of gas stations )
on substituting the respective values, we get
=
=
= 13.76²
= 189.3376 ≈ 190
Hence,
minimum number of gas stations that she should include in her sample is 190