Answer:
Ella takes 3/5 hours
Holly takes 1 3/5 hours = 8/5 hours
She takes 3/4 * (Ella's time). (ATQ)
= 3/4 * 8/5
= 24/20
Time taken by Holly to complete 5 paintings
= Time taken in 1 painting * 5
= 24/20 * 5
= 24/4
= 6 hours
Answer:

Step-by-step explanation:
we are given a derivative

and said to figure out the first derivative
to do so
recall chain rule:

so we get

rewrite the derivative using the chain rule:

use square root derivative rule to simplify:

now we need to again use chain rule composite function derivative to simplify
where we'll take a new function n so we won't mess up two g's and we'll take 2x as n
use composite function derivative to simplify:

use derivative formula to simplify derivatives:

substitute the value of n:

substitute the value of g:

now we need our trigonometric skills to simplify
rewrite cot and csc:

simplify multiplication:

simplify multiplication:

Answer:
See explanation below
Step-by-step explanation:
It depends on what null hypothesis is under consideration.
One of the most common null hypothesis that are subject of study in a given statistical model is <em>the mean</em> predicted by the model.
In this case, the scientist probably observed that the mean of tusk lengths she obtained in a sample did not match the one predicted with the H-W equation.
So, she decided to perform a statistical study by collecting random samples and measuring the tusk lengths to determine a new possible mean and contrast it against the one predicted by the H-W equation.
<em>Let's call M the mean predicted by the H-W equation, and S the mean obtained by the scientist.
</em>
If M different of S and the p-value is 0.021, that means that <em>there is at most 2.1% of probability that the difference between M and S could be due to a random sampling error.
</em>
It should be kept in mind that the p-value does not represent the probability that the scientist is wrong.
Since x and 82° lie along the same straight line, they must sum to 180° so:
x=180-82
x=98°
Morgen, (hoe is nederlands)
t=36/15=2.4 (days)