10x-(8 + 7x) SIMPLIFY IT ASAP PLEASE
2 answers:
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Option A: is the value of
Explanation:
It is given that the first term is
The common difference is
We need to determine the sum of 25 terms.
The sum of terms of an arithmetic series can be determined using the formula,
Substituting ,
and
Thus, we have,
Simplifying the values, we get,
Subtracting the terms within the bracket, we get,
Multiplying the terms in the numerator, we have,
Dividing, we get,
Thus, the sum of the 25 terms is
Therefore, Option A is the correct answer.
Answer:
The correct option is (c).
Step-by-step explanation:
According to the Central Limit Theorem if we have a population with a known mean and standard deviation and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
Then, the mean of the distribution of sample means is given by, the population mean.
And the standard deviation of the distribution of sample means is given by,
So, the most basic and main objective of the Central limit theorem is to approximate the sampling distribution of a statistic by the Normal distribution even when we do not known the distribution of the population.
Thus, the correct option is (c).