Answer:
By the Central Limit Theorem, both would be approximately normal and have the same mean. The difference is in the standard deviation, since as the sample size increases, the standard deviation decreases. So the SRS of 600 would have a smaller standard deviation than the SRS of 200.
Step-by-step explanation:
The Central Limit Theorem estabilishes 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.
For the sampling distribution of size n of a sample proportion p, the mean is p and the standard deviation is 
Differences between SRS of 200 and of 600
By the Central Limit Theorem, both would be approximately normal and have the same mean. The difference is in the standard deviation, since as the sample size increases, the standard deviation decreases. So the SRS of 600 would have a smaller standard deviation than the SRS of 200.
Answer:
Rate of Return is 14.8%
Step-by-step explanation:
We know that 20 shares of Stock are purchased for $30 per share.
This gives us a total value of: 20 × 30 = $600.
Now, the shares are sold for $710 with a commission sale of $6. This means the final money going to the seller is; 710 – 6 = $704.
Thus, the rate of return percentage is = (704 – 600)/704) × 100% = 14.7727%
To the nearest tenth gives us 14.8%
Answer:
27x-64x^2
Step-by-step explanation:
Distribute the 8x
3x-64x^2+24x
Combine like terms (3x and 24x)
27x-64x^2
When you multiply a same number but with different powers, you can simply add the powers together. So, in your question, add the powers -1 and -7 together.
7^(-1) x 7^(-7) = 7^(-8)
When you divide a same number but with different powers, you subtract the power at the top with the power from the denominator. So, -8 - (-7) = -1.
7^(-8) / 7^(-7) = 7^(-1)
So your answer would be 7^(-1).
Hopefully my explanation was clear?
