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.
180 -20 = 160 so angle FHG equals 160
We know that if two lines are Parallel then both the lines have same Slope.
Given : Equation of 1st Parallel line is -x + 3y = 6
this can be written as :
3y = x + 6
y = x/3 + 2
Comparing with standard form : y = mx + c
we can notice that slope = 1/3
We know that the form of line passing through point (x₀ , y₀) and having slope m is :
y - y₀ = m(x - x₀)
Here the 2nd Parallel line passes through the point (3 , 5)
x₀ = 3 and y₀ = 5 and we found m = 1/3
⇒ y - 5 = 1/3(x - 3)
⇒ 3y - 15 = x - 3
⇒ -x + 3y = 12
Its is about 5 km...since 18 is 1
92/18 is 5.1 repeating so rounded to 5
