Answer:
Look below
Step-by-step explanation:
The mean of the sampling distribution always equals the mean of the population.
μxˉ=μ
The standard deviation of the sampling distribution is σ/√n, where n is the sample size
σxˉ=σ/n
When a variable in a population is normally distributed, the sampling distribution of for all possible samples of size n is also normally distributed.
If the population is N ( µ, σ) then the sample means distribution is N ( µ, σ/ √ n).
Central Limit Theorem: When randomly sampling from any population with mean µ and standard deviation σ, when n is large enough, the sampling distribution of is approximately normal: ~ N ( µ, σ/ √ n ).
How large a sample size?
It depends on the population distribution. More observations are required if the population distribution is far from normal.
A sample size of 25 is generally enough to obtain a normal sampling distribution from a strong skewness or even mild outliers.
A sample size of 40 will typically be good enough to overcome extreme skewness and outliers.
In many cases, n = 25 isn’t a huge sample. Thus, even for strange population distributions we can assume a normal sampling distribution of the mean and work with it to solve problems.
The equation of the graph is given by y = cos(0.4x) and has an amplitude of 1
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Since the curve crosses the y-axis at y = 1, hence it is a cosine graph. It has a maximum of 1 and a minimum of negative 1, therefore the amplitude is 1
Also, the angular frequency = 2π * 1/5π = 0.4
The equation of the graph is given by y = cos(0.4x) and has an amplitude of 1
Find out more on equation at: brainly.com/question/2972832
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Answer:400
Step-by-step explanation:
3,200 / 8 = 400
Answer: 2 * sqrt(2)
I attached an image to show you what I mean
Step-by-step explanation:
First add 20 on both sides
5x^(2 / 3) = 10
divide both sides by 5
x^(2 / 3) = 2
Now be reminded that the power of 2/3 is the same as x^2 cube root (to the third root)
So we now cube both sides to get rid of the cube root
x^2 = 2^3
which simplifies to x^2 = 8
We now just find the square root of both sides
so x = sqrt(8)
square root of 8 is simply sqrt(4 * 2) = sqrt(4) * sqrt(2) = 2 * sqrt(2)
So x = 2 * sqrt (2)
Answer:
27
Step-by-step explanation:
2h+11=65
2h= 65-11
2h=54
then divide both side by two to find h
