<h3>
Answer: FC = 16</h3>
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The three medians of this triangle are:
These segments go from one vertex to the midpoint of the opposite side.
The median we'll focus on is PF.
The point C is the centroid of the triangle. It's where the three medians intersect. It turns out that C divides PF such that CF is twice as long as PC
In other words,
CF = 2*PC
This means,
PF = PC+CF .... segment addition postulate
PF = PC+2*PC ... replace CF with 2*PC
PF = 3*PC .... combine like terms
So the median PF is three times the length of its portion PC
We're told that PF = 24
We can then find the following:
PF = 3*PC
24 = 3*PC
3*PC = 24
PC = 24/3
PC = 8
Then we double this to get the length of CF
CF = 2*PC
CF = 2*8
CF = 16
This is the same as FC because the order of the endpoints don't matter when it comes to naming a segment.
The final answer is 16.
Answer:
Find the roots of
x (2 − 24x) = 0 by solving for x.
x = 0 , 1/12
Answer: 2.511 lies in the rejection region, so we will reject the null hypothesis.
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Step-by-step explanation:
Since the null and alternate hypothesis are :

Since there is 0.05 level of significance,
So, there will be two tail test:
As we know that
z = -1.96 or z = 1.96
If the test statistic does not fall in the range of -1.96 to 1.96, we will reject the null hypothesis.
So, it becomes,

Since 2.511 lies in the rejection region, so we will reject the null hypothesis.
Hence, People does not seem to be representative of the Pet Food survey respondents.