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Answer: The explanation is correct.
Step-by-step explanation:
The interpretation of 95% confidence interval for population mean is that "A person can be 95% sure that the true population mean lies in it."
Given : The admissions director from Big City University found that (107.8, 116.2) is a 95% confidence interval for the mean IQ score of all freshmen.
Interpretation: The admissions director can be 95% sure that the true population mean IQ score of all freshmen lies in (107.8, 116.2).
i.e. There is a 95% probability (chance) that the interval from 107.8 to 116.2 contains μ.
Hence, the explanation is absolutely "correct" .
Answer: acute angles are higher that 0° and smaller than 90°
Step-by-step explanation: obtuse are between 90° and 180°
The number of buckets is directly proportional to the area and the thickness of the wall and inversely proportional to the amount of paint. Mathematically, we can write:
n = k · (a · t) / p
where k is the proportionality constant which we do not know.
We can calculate k with the given data: 5 2-gallon buckets, area of 100 square feet and thickness 3 inches:
k = (n · p) / (<span>a · t)
= (5 </span>· 2) / (100 · 3) = 0.0333
Now that we know the constant, we can calculate the area that can be painted with 8 2-gallon buckets if the thickness is 6 inches:
a = (n · p) / (k<span> · t)
= (8 </span>· 2) / (0.0333 · 6)
= 80 ft²
Please, note that we made sure to have the exact same units of measurements than the previous case.
Therefore, the correct answer is an area of 80 ft².