MATHS. SOMEONE, PLEASE HELP I AM PRETY DESPERATE.
1 answer:
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Answer:
The mean is 40.35 and the standard deviation is 0.13.
Step-by-step explanation:
Central Limit Theorem
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 certain type of olivine assembly, the silicon dioxide (SiO2) content (in weight percent) in a randomly chosen rock has mean 40.35 and standard deviation 0.4.
Sample of 10:
By the Central Limit Theorem, the mean is 40.35, and the standard deviation is
The mean is 40.35 and the standard deviation is 0.13.
Lets draw the square first.
As you can see in the diagram, the distance between one corner and the opposite side is the diagonal of the rectangle which divides it into tow right triangles. Since we know that in a square all the lengths have the same measure, the legs of our triangle are going to measure 250 ft.
Now, the only thing left to do is apply the Pythagorean theorem to find the hypotenuse of our triangle which is no other than the diagonal of our square:
We can conclude that the distance <span>from one corner of the courtyard to the opposite corner is 353.6 ft.</span>
As you can see in the diagram, the distance between one corner and the opposite side is the diagonal of the rectangle which divides it into tow right triangles. Since we know that in a square all the lengths have the same measure, the legs of our triangle are going to measure 250 ft.
Now, the only thing left to do is apply the Pythagorean theorem to find the hypotenuse of our triangle which is no other than the diagonal of our square:
We can conclude that the distance <span>from one corner of the courtyard to the opposite corner is 353.6 ft.</span>