Answer:
C. The population must be normally distributed.
Step-by-step explanation:
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 skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For us to apply the central limit theorem with a sample size of 14, the underlying population must be normally distributed.
So the correct answer is:
C. The population must be normally distributed.
-5 I think
Ignore this this is just for 20 words
Answer:
COMPOUND PROBABILITY: John has a cookie jar with the following cookies in it. He plans to eat 2 cookes. What is the probability that he will select a Macadamia Nut Cookie AND then select a Cranberry Pecan cookie? Remember, since he is eating the cookies, he will not be replacing the cookies in the jar and the order he selects the cookies does not matter here. Simply all answers to lowest terms
Answer:
The length of apothem of given hexagon is 8.66 cm
Step-by-step explanation:
Apothem of a polygon is given by:

Here
s is length of side
tan is trigonometric function
and n denotes number of sides
Given that the polygon is a hexagon

Putting the values in the formula

Hence,
The length of apothem of given hexagon is 8.66 cm
You need this key result: in any polygon, the sum of the interior angles is

where
is the number of sides of the polygon.
Your polygon has seven sides, and the measures of all angles are given. So, we can write

Again, we've simply written that the sum of all interior angles is the number of sides, minus two, times 180.
We can simplify both sides: we sum like terms on the left hand side, and we easily compute the right hand side:

and we can solve this equation for
by dividing both sides by 30:

Finally, the required angles is 