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:
x^15/x^8 = x^7
x^3⋅x^4 = x^7
(x^21)1/3 = x^7
Step-by-step explanation:
we have

we know that
If the point is an equation solution, it must satisfy the equation.
<u>case a</u>) 
Substitute the values of x and y in the equation


-------> the point is not solution of the equation
<u>case b</u>) 
Substitute the values of x and y in the equation


-------> the point is solution of the equation
<u>case c</u>) 
Substitute the values of x and y in the equation


-------> the point is not solution of the equation
<u>case d</u>) 
Substitute the values of x and y in the equation

-------> the point is not solution of the equation
therefore
<u>the answer is</u>
The point
is solution of the equation
Answer:
The answer is 4.
Step-by-step explanation:
Change 4 2/3 to 4 4/6 to match 11/6.
Add 4 4/6 and 11/6 and get 4 15/6.
Subtract 4 15/6 by 15/6 and get 4.
4 is the answer.
I hope this helps.
Have a nice day!