Red drum, sciaenops ocellatus, is a game fish found in the Atlantic Ocean and in the Gulf of Mexico. A reasonable estimate of th
e mean length of a red drum caught, tagged, and released is 15.4 inches with standard deviation 4.5 inches. Current regulations by Texas Parks and Wildlife only allow red drums between 20 and 28 inches to be kept. Fish outside this range must be thrown back. Assuming the distribution of lengths is approximately normally distributed, what is the probability that a red fish caught on the Texas coast can be brought home for dinner? Sketch the normal curve, label the mean and SD, and shade the area of interest. Write your answer using correct probability notation, finding all appropriate z-scores.
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Answer:
- <u>Option B. 59%</u>
Explanation:
The function that represents the number of E.coli bacteria cells per 100 mL of water as the time t years elapses is:
The base, 1.123, represents the multiplicative constant rate of change of the function, so you just must substitute 1 for t in the power part of the function:
Then, the multiplicative rate of change is 1.590, which means that every year the number of E.coli bacteria cells per 100 mL of water increases by a factor of 1.590, and that is 1.59 - 1 = 0.590 or 59% increase.