Answer:
The standard error of the sampling distribution of sample mean is: 6.5
Step-by-step explanation:
We use the Central limit theorem to solve this question.
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation, which is also called standard error of the sampling distribution of sample mean is ![s = \frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In this problem, we have that:
![\sigma = 39, n = 36](https://tex.z-dn.net/?f=%5Csigma%20%3D%2039%2C%20n%20%3D%2036)
![s = \frac{39}{\sqrt{36}} = 6.5](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B39%7D%7B%5Csqrt%7B36%7D%7D%20%3D%206.5)
The standard error of the sampling distribution of sample mean is: 6.5
Answer:
The answer is Medium size
Step-by-step explanation:
The equation is simple
14.20 divided by 20 = 0.71
Given:
The given statement is "A circle is dilated by a scale factor of 1.5 to create a new circle. The area of the new circle is 1.5 times the area of the original circle."
To find:
Whether the given statement in true or false.
Solution:
Area of circle is
![A=\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2)
Where, <em>r</em> is the radius of the circle.
Let
be the radius of the original circle. So, the area of the circle is
![A_1=\pi (r_1)^2](https://tex.z-dn.net/?f=A_1%3D%5Cpi%20%28r_1%29%5E2)
The circle is dilated by a scale factor of 1.5 to create a new circle. So, the radius of the new circle is:
![r_2=1.5r_1](https://tex.z-dn.net/?f=r_2%3D1.5r_1)
The area of the new circle is
![A_2=\pi (r_2)^2](https://tex.z-dn.net/?f=A_2%3D%5Cpi%20%28r_2%29%5E2)
![A_2=\pi (1.5r_1)^2](https://tex.z-dn.net/?f=A_2%3D%5Cpi%20%281.5r_1%29%5E2)
![A_2=2.25\pi (r_1)^2](https://tex.z-dn.net/?f=A_2%3D2.25%5Cpi%20%28r_1%29%5E2)
![A_2=2.25A_1](https://tex.z-dn.net/?f=A_2%3D2.25A_1)
The area of the new circle is 2.25 times the area of the original circle.
Therefore, the given statement is false.
1)3/5
2)7/20
3) 7/5
because you just pit them all over 100 and since they are all divisible by 5 you divide them by 5