Answer: X= -3/4, -1/2
Step-by-step explanation:
Answer:In this figure 25% of the circles are shaded. this is because 25% equals 1/4 and and 3/12 iof the circles are shaded so if you simplify you get 1/4. PLZ give me brainliest i promise this is correct.
Step-by-step explanation:
Answer: None of the above are correct.
Step-by-step explanation:
Given function: ![y=\tan x](https://tex.z-dn.net/?f=y%3D%5Ctan%20x)
We know that the value of tan x =0 at x=0.
Also, ![At\ x=\frac{\pi}{3},\ \tan\frac{\pi}{3}=\sqrt{3}](https://tex.z-dn.net/?f=At%5C%20x%3D%5Cfrac%7B%5Cpi%7D%7B3%7D%2C%5C%20%5Ctan%5Cfrac%7B%5Cpi%7D%7B3%7D%3D%5Csqrt%7B3%7D)
![At\ x=\frac{\pi}{2},\ \tan\frac{\pi}{2}=\infty](https://tex.z-dn.net/?f=At%5C%20x%3D%5Cfrac%7B%5Cpi%7D%7B2%7D%2C%5C%20%5Ctan%5Cfrac%7B%5Cpi%7D%7B2%7D%3D%5Cinfty)
![At\ x=\frac{\pi}{3},\ \tan\frac{\pi}{4}=1](https://tex.z-dn.net/?f=At%5C%20x%3D%5Cfrac%7B%5Cpi%7D%7B3%7D%2C%5C%20%5Ctan%5Cfrac%7B%5Cpi%7D%7B4%7D%3D1)
Hence, the only option is correct is "None of the above are correct".
Answer:
By the Central Limit Theorem, the mean is 78, the standard deviation is
and the shape is approximately normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 78 and a standard deviation of 6
This means that ![\mu = 78, \sigma = 6](https://tex.z-dn.net/?f=%5Cmu%20%3D%2078%2C%20%5Csigma%20%3D%206)
Samples of n:
This means that the standard deviation is:
![s = \frac{\sigma}{\sqrt{n}} = \frac{6}{\sqrt{n}}](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%20%5Cfrac%7B6%7D%7B%5Csqrt%7Bn%7D%7D)
What are the mean, standard deviation, and shape of the distribution of x-bar for n?
By the Central Limit Theorem, the mean is 78, the standard deviation is
and the shape is approximately normal.
Answer:
4 cm
Step-by-step explanation:
The area of the net is 6 times the area of one square, so one square has an area of ...
(96 cm^2)/6 = 16 cm^2
The side length (s) is the square root of this value:
s = √(16 cm^2)
s = 4 cm