Which equation is the inverse of (x-4)2 - 5 = 6y-12
1 answer:
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Answer:
0% probability that the sample mean would have been as high or higher than 3.1 if the company’s claims were true.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central limit theorem
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
What is the approximate probability that the sample mean would have been as high or higher than 3.1 if the company’s claims were true?
This is 1 subtracted by the pvalue of Z when X = 3.1. So
By the Central Limit Theorem
has a pvalue of 1.
1 - 1 = 0
0% probability that the sample mean would have been as high or higher than 3.1 if the company’s claims were true.
Answer:
The comparison graph is also attached in 3rd figure. In the 3rd figure, the graph with vertex (0, 0) is representing and
is represented as being shifted 6 units to the right as compare to the function
.
Step-by-step explanation:
When we Add or subtract a positive constant, let say c, to input x, it would be a horizontal shift.
For example:
Type of change Effect on y = f(x)
horizontal shift: c units to right
So
Considering the function
The graph is shown below. The first figure is representing .
Now, considering the function
According to the rule, as we have discussed above, as a positive constant 6 is added to the input, so there is a horizontal shift, 6 units to the right.
The graph of is shown below in second figure. It is clear that the graph of
is shifted 6 units to the right as compare to the function
.
The comparison graph is also attached in 3rd figure. In the 3rd figure, the graph with vertex (0, 0) is representing and
is represented as being shifted 6 units to the right as compare to the function
.
