Answer:
are there any more details? cant solve anything from what you have provided
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.
We can then rewrite the square root terms as follows:
√3/√8 = √(3) / √(2 * 2 * 2)
Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:
√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)
Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:
√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2
Finally, we can use the rules of division to simplify the expression even further:
√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)
Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:
√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8
Therefore, the simplified form of the expression √3/√8 is 1/8.
This question is incomplete, the complete question is;
A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 24.6 pounds and a standard deviation of 8.0 pounds.
Step 2 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 51 people on this diet, what would be the standard deviation of the sampling distribution of sample means? Round to two decimal places, if necessary.
Answer:
the standard deviation of the sampling distribution of sample means is 1.12
Step-by-step explanation:
Given the data in the question,
population mean; μ = 24.6 pounds
Population standard deviation; σ = 8.0 pounds
sample size; n = 51
Now determine the standard deviation of the sampling distribution of sample means.
standard deviation of the sampling distribution of sample means is simply
⇒ population standard deviation / √sample size
= 8.0 / √51
= 8.0 / 7.141428
= 1.120224 ≈ 1.12
Therefore, the standard deviation of the sampling distribution of sample means is 1.12
