give the standard form, degree, leading coefficient and the constant term of the function h(x) = (2x+1)² (2x-3)
1 answer:
Answer:
The standard form is:
The function is of the 3rd degree.
The leading coefficient is 8.
The constant term is -3.
Step-by-step explanation:
Placing in standard form:
To place in standard form, we solve the operations. So
Degree:
The degree is given by the highest power of x, which, in this exercise, is 3.
Leading coefficient:
The leading coefficient is the term that multiplies the highest power of x. In this exercise, the higher power of x is , which is multiplied by 8. So the leading coefficient is 8.
Constant term:
The constant term is the one which does not multiply a power of x. So in this exercise, it is -3.
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Answer:
The 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is between 226.01 and 233.99 milligrams.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 230 - 3.99 = 226.01
The upper end of the interval is the sample mean added to M. So it is 230 + 3.99 = 233.99.
The 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is between 226.01 and 233.99 milligrams.