Answer:
LCM is 504. GCF is 42
Step-by-step explanation:
The formula for circumference is C= 2(pi)(r)^2. Because diameter is double the radius, and the diameter is 8 ft, the radius is 4 ft. So, plug that into the equation, and you get: C=2(pi)(4)^2. The answer is 32 pi ft. If the question asks for the exact answer, keep the pi as it is, but if it says to round, multiply 32 by pi and round.
Answer: the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight = 4.23
Step-by-step explanation:
Formula for margin of error : ![E=\dfrac{z^*\times (Population\ standard\ deviation)}{\sqrt{Sample\ size}}](https://tex.z-dn.net/?f=E%3D%5Cdfrac%7Bz%5E%2A%5Ctimes%20%28Population%5C%20standard%5C%20deviation%29%7D%7B%5Csqrt%7BSample%5C%20size%7D%7D)
, where z* = Critical z-value.
Given: population standard deviation = 11.5 ounces
Sample size = 20
Z value for 90% confidence level = 1.645
margin of error (E) = ![\dfrac{1.645\times11.5}{\sqrt{20}}](https://tex.z-dn.net/?f=%5Cdfrac%7B1.645%5Ctimes11.5%7D%7B%5Csqrt%7B20%7D%7D)
![\approx4.23](https://tex.z-dn.net/?f=%5Capprox4.23)
Hence, the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight = 4.23
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