Answer:
D. 90%
Step-by-step explanation:
it is within the 90th percentile
Answer:
24
Step-by-step explanation:
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

Answer:
D, see description below.
There is a possible typo in the problem since these points have slope 25/23.
Step-by-step explanation:
To find the slope of a line, calculate the distance between points with a ratio of vertical to horizontal distance. This is done using the formula:

Here the points are (-4,-14) and (19,11). Substitute and simplify.

I think there is a typo in your points (-4,-14) and (19,11) because the answer doesn't align to the answer choices. But based on them, I would answer D or 24/23 since it's the closest value.
Answer: 
Step-by-step explanation:
The area of a triangle can be calculated with the formula:

The base of the triangle is "b" and the height of the triangle is "h",
In the figure you can observe that the base and the height of the triangle are:

Knowing these values, you can substitute them into
.
Therefore, the area of the triangle is:

