Answer:
If C (Circumfrence) = 314 m, what is the area?
1 answer:
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By formula we know that:
z (x) = (x - m) / [sd / sqrt (n)]
where x is the value we want to know (6.7), m is the mean (5), sd is the standard deviation (7.1) and n is the sample size (29).
Replacing we have:
z (6.7) = (6.7 - 5) / [7.1 / sqrt (29)]
z = 1.289
If we look in the normal distribution table (attached), we have that the probability is 0.8997, therefore:
1 - 0.8897 = 0.1003
So the conditional probability of a herd sample earning at least 6.7 pounds per steer is 10.03%.
Now the hypothesis tells me:
m> 5
The probability is somewhat low, therefore, the most correct thing is to reject the hypothesis even though it is a fact that can occur.
Answer:
Length of the side opposite to angle is 31.49
Step-by-step explanation:
Included angle can be defined as the angle in between two sides of the triangle.
So angle is in between sides 16 and 21.
Refer to the attachment for triangle diagram.
To find the length of opposite side, use cosine rule as follows
From the diagram,
Substituting the values in the formula,
Simplifying,
Taking square root on both sides,
Therefore length of third side is 31.49
