Answer:
a.is approximately normal because of the central limit theorem.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes 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 skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
Sample limit of 32 > 30, so the distribution is approximately normal because of the central limit theorem, and the correct answer is given by option a.
Answer:
2. 
Step-by-step explanation:
We have been given an expression 
and we are asked to find equivalent expression to our given expression.
Using fraction rule 
we can write our expression as: 
.
Upon dividing 10 by 5 we will get,
Upon using exponent property for quotient 
we will get,
Therefore, our expression simplifies as and 2nd option is the correct choice.
The slope of the line parallel to the line –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.
<h3>What is the slope?</h3>
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
It is given that:
The equation of the line:
–x + 3y = 6
Write the equation in standard form:
y = x/3 + 6/3
y = x/3 + 2
m = 1/3
The slope of the line parallel to the line –x + 3y = 6
M = 1/3
Thus, the slope of the line parallel to the line –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.
Learn more about the slope here:
brainly.com/question/3605446
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Answer:
Step-by-step explanation:
You would have to do the distributive property and thats how you get your answer.
