The graph of g(x) is the graph of f(x)=x+9 reflected across the y-axis.
2 answers:
Answer:
g(x) = -x +9
Step-by-step explanation:
Reflecting across the y-axis involves changing the sign of x, so the reflection of f(x) is ...
... g(x) = f(-x) = (-x) +9
The appropriate choice is ...
... g(x) = -x+9
<h2>Answer:</h2>
The equation which describes the function g is:
The graph of the function f(x) is given by:
Now, we know that the transformation of the function f(x) when the graph is shifted across the y-axis then it is given by:
f(x) → f(-x)
This means that:
g(x)=f(-x)
i.e.
g(x)= -x+9
Hence, the equation which will represent the graph of the function g(x) is given by:
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Answer:
A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error of the interval is given by:
In this problem, we have that:
99.5% confidence level
So , z is the value of Z that has a pvalue of
, so
.
Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.07?
This is n when M = 0.07. So
A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07