Draw an array to show how to arrange 20 chair into 5 equal rows
1 answer:
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Answer:
By the Central Limit Theorem, the average value for all of the sample means is 14.
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
, the sample means of size n can be approximated to a normal distribution with mean
and standard deviation, which is also called standard error
If the population mean is μ = 14, then what is the average value for all of the sample means?
By the Central Limit Theorem, the average value for all of the sample means is 14.
Answer:
For this distribution of test scores, the standard deviation is equal to the square root of 9
D) 9
Step-by-step explanation:
We need to know the standard deviation formula:
(1)
Where:
S: Standard deviation
sum: Summation
x: Sample values
Am: Arithmetic mean
n: Number of terms, in this case 3
Now, we need to know the arithmetic mean of the sample values: 2, 5 and 8
To know the standard deviation we need to have the summation of each term minus the arithmetic mean squared.
of each term:
Now, we can find the standard deviation:
The standard deviation is equal to the square root of 9
By definition, the circumference of a circle is:
The area of a circle is:
Where,
r: radius of the circle.
When the radius is double, then the new area is:
Rewriting we have:
In terms of a we have:
Answer:
The new area of the circle in terms of a is:
The area of a circle is:
Where,
r: radius of the circle.
When the radius is double, then the new area is:
Rewriting we have:
In terms of a we have:
Answer:
The new area of the circle in terms of a is: