Answer:
a) 0.4164
Step-by-step explanation:
Mean lifespan (μ) = 18.8 days
Standard deviation (σ) = 2 days
For any given lifespan 'X', the z-score is:
For X=12.04 days:
A z-score of -3.38 falls in the 0.036-th percentile of a normal distribution.
For X=18.38 days:
A z-score of -3.38 falls in the 41.68th percentile of a normal distribution.
The probability that a butterfly lives between 12.04 and 18.38 days is
The values of a and b are 1/4 and 1/5 respectively
<h3>How to determine the true statement?</h3>The function is given as:
16x^2 - 25y^2 = 1
The above function is a horizontal hyperbola.
A horizontal hyperbola that passes through the origin is represented as:
Rewrite 16x^2 - 25y^2 = 1 as
By comparison, we have:
Solve for a and b
Hence, the values of a and b are 1/4 and 1/5 respectively
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