M/7 + 1 = 6 ? What is it equal too
1 answer:
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We have been given a function . We are asked to find the amplitude, period and phase shift of the function
We can see that our given function is in form , where,
= Amplitude.
Period =
C = Horizontal shift,
D = Vertical shift.
We can see that value of a is 1, therefore, the amplitude of given function would be 1.
We can see that B is equal to 8, so we will get:
Therefore, the period of given function is .
Since the value of C is 1, therefore, horizontal shift is 1.
Since the value of D is 2, therefore, vertical shift would be 2.
Answer:
The confidence interval will be given by:
, in which z is related to the confidence level.
For a confidence level of x%, z is the value in the z-table that has a pvalue of
Step-by-step explanation:
Central Limit Theorem
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.
In the context of this problems:
It means that the sampling distributions of the sample mean of 500 components will be approximated normal, with mean 200,000 and standard deviation
To build the confidence interval:
The confidence interval for the average length of life of the electronic components they produced will be given by:
, in which z is related to the confidence level.
For a confidence level of x%, z is the value in the z-table that has a pvalue of