Considering the situation described, the confidence interval is given by:
(0.35, 0.51).
<h3>What is a confidence interval?</h3>
It is given by the <u>estimate plus/minus the margin of error</u>.
For this problem, we have that:
- The margin of error is half the range of the observations, hence M = (0.48 - 0.32)/2 = 0.08.
Then, the bounds of the interval are given by:
More can be learned about confidence intervals at brainly.com/question/25890103
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Answer:
Power property for both
Step-by-step explanation:
The power property of logarithms says that if there is an exponent in a logarithm, then that exponent can be pulled to the front.
In the first question, 5 is at the front of the logarithm because it has been pulled from 3. If you move the 5 back to the 3, it would be 3^5, which is 243.
In the second question, 2 is at the front of the logarithm as it has been pulled from the 9. If you move the 2 back to the 9, it would be 9^2, or 81.
Example:
log10^2 would be equal to 2log10.
1 Hour is longest then 1 minute then 1 second is shortest
It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.
The simplest polynomial with these characteristics would be
but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with
which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:
Answer:
Step-by-step explanation:
The points are 
and 
.
Area of a triangle is given by
The area of the given triangle is .
