A forestry researcher wants to estimate the average height of trees in a forest near Atlanta, Georgia. She takes a random sample
1 answer:
Answer:
The margin of error for her confdence interval is of 0.3757.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 18 - 1 = 17
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.8982
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
Standard deviation of 0.55 meters.
This means that
What is the margin of error for her 99% confidence interval?
The margin of error for her confdence interval is of 0.3757.
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Answer:factor of 9
Step-by-step explanation:
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Answer:
Step-by-step explanation:
<em>To solve polynomial long division problems like these, it's helpful to build a long division table. Getting used to building these can make problems like this much simpler to solve.</em>
Begin by looking at the first term of the cubic polynomial.
What would we have to multiply by to get an expression containing
? The answer is
, since
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This is the first step of our long division, and we write out the start of our long division table like this:
On the left is the divisor. On top is . In the middle is the polynomial we are dividing, and on the bottom is the result of multiplying our divisor by
The next step is to subtract the bottom expression from the middle one, like so:
We are left with . The next thing to do is to add the next term of the polynomial we are dividing to the bottom line, like this:
Now we return to the beginning of the instructions, and repeat the process: namely, what would we have to multiply by to get an expression containing
? The answer is
, and we fill out our long division table like so:
Once again, we subtract the bottom expression from the one above it, and include the next term of the divisor, like so:
And repeat. What do we multiply by to get an expression containing
? The answer is 15. Our completed long division table looks like this:
Now, the expression at the top,
is our quotient, and the last number, , is our remainder.
Hence we arrive at the solution of