The equation f(x) = 4x4 + 4x2 + 9x – 2 can have at most four distinct real roots. True or false
1 answer:
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Answer:
By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.
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.
Mean of 650 and a standard deviation of 24.
This means that .
Sample of 36:
This means that
What is the shape of the sampling distribution you would expect to produce?
By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.
Answer:
<em>-26</em>
Step-by-step explanation:
Given the sequence:
16, 9, 2, –5, ...,
To find:
7th measurement, if the above sequence continues:
Solution:
Let us examine the given sequence first:
First term is 16
Second term = 9
Third term = 2
Fourth term = -5
Difference between 2nd and 1st term = 9 - 16 = -7
Difference between 3rd and 2nd term = 2 - 9 = -7
Difference between 4th and 3rd term = -5 - 2 = -7
We can see that there is a common difference of -7 between each term.
That means, the sequence is in Arithmetic Progression.
whose first term,
Common difference,
To find:
7th term i.e.
Solution:
Formula for term of an Arithmetic Progression is given as:
Let us put
7th measurement will be <em>-26.</em>