Answer:
2114 is not a prime number because you can divide to 7. Prime number mean is the prime number is the number that can be divided by the number it self
Answer:
![\bar x \sim N(\mu_{\bar x}=86, \sigma_{\bar x}=3)](https://tex.z-dn.net/?f=%5Cbar%20x%20%5Csim%20N%28%5Cmu_%7B%5Cbar%20x%7D%3D86%2C%20%5Csigma_%7B%5Cbar%20x%7D%3D3%29)
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Solution to the problem
Let X the random variable who represents the variable of interest. We know from the problem that the distribution for the random variable X is given by:
We select a sample of size n=64. That represent the sample size.
From the central limit theorem we know that the distribution for the sample mean
is given by:
The mean for the sample distirbution would be given by:
![\mu_{\bar x}=86](https://tex.z-dn.net/?f=%5Cmu_%7B%5Cbar%20x%7D%3D86)
And the deviation given by:
![\sigma_{\bar x} =\frac{24}{\sqrt{64}}=3](https://tex.z-dn.net/?f=%5Csigma_%7B%5Cbar%20x%7D%20%3D%5Cfrac%7B24%7D%7B%5Csqrt%7B64%7D%7D%3D3)
And then the distribution for the sample mean is:
![\bar x \sim N(\mu_{\bar x}=86, \sigma_{\bar x}=3)](https://tex.z-dn.net/?f=%5Cbar%20x%20%5Csim%20N%28%5Cmu_%7B%5Cbar%20x%7D%3D86%2C%20%5Csigma_%7B%5Cbar%20x%7D%3D3%29)
24. 9+(-6)=-3 is false because the 9 can’t go into the six and the six is by itself so it’s false
25. -10+(-10)=10 is false because you can’t add and multiply a positive number with a negative number, so it’s false
Answer:
D
Step-by-step explanation:
A monomial is like this: 3xy so eliminate:
A: 20x^11-3x This one has an exponent
B: x is being divided
C: same as A
D only one that meets the criteria
Answer:
-6.3n + 8.6
Step-by-step explanation:
you add the terms together