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

If I did the math correctly I’d should be -5 or rewritten as -5/1.
Answer:

Step-by-step explanation:
If x varies directly as the product of p and m, and inversely with y, the relation can be written ...
x = k(pm)/y . . . . where k is the constant of proportionality
__
This can be solved for k:
k = xy/pm
For the given values, the value of k is ...
k = (2)(4)/((0.5)(2)) = 8
Then the relation between the variables can be written ...
(xy)/(pm) = 8
9514 1404 393
Answer:
C. 100°
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angles.
∠5 = ∠3 +∠4
145° = ∠3 +45° . . . . fill in the given values
100° = ∠3 . . . . . . subtract 45° from both sides