Answer:
"moderate negative"
Step-by-step explanation:
When two variables are correlated, a tendency, negative or positive, can be distinguished in the dispersion chart.
When the trend is positive it means that one variable increases when the other also increases.
When the trend is negative it means that one variable decreases as the other increases ..
The relationship between both variables can be strong or weak.
If the relationship is strong, the points in the scatter diagram will increasingly resemble a line (if it is a linear relationship).
If the relationship is weak, the points will be more and more scattered without any relation between them.
In this case it is observed that when the years increase the population decreases. Therefore it is a negative relationship. The distribution of the points resemble moderately to a straight line. Therefore, the correct option is "moderate negative"
2n+=16
n difference of nine.
Well the word difference means in mathematical terms, The result of subtracting one number from another. How much one number differs from another.
<span>Example: The difference between 8 and 3 is 5.
I think the answer to your question is : 4&5
The reason why becuase 4+5 is 9 which are the 2 closest numbers to make nine and 2n+9=11+4+5=20 minus 2 two times and you will still get 16.
I hope this helped you! :)</span>
Answer:
The exact value of cotФ is
Step-by-step explanation:
Given as:
The value of cosec Ф = ![\frac{-4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-4%7D%7B3%7D)
Let the value of cotФ = x
Now, According to question
∵ sinФ =
.....1
Put the value of cosec Ф =
in eq 1
i.e sinФ = ![\frac{1}{\frac{-4}{3} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Cfrac%7B-4%7D%7B3%7D%20%7D)
Or, sinФ = ![\frac{-3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B-3%7D%7B4%7D)
<u>Again</u>
∵ cosФ = ![\sqrt{1-sin^{2}\Theta }](https://tex.z-dn.net/?f=%5Csqrt%7B1-sin%5E%7B2%7D%5CTheta%20%7D)
So, cosФ = ![\sqrt{1-(\frac{-3}{4})^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B1-%28%5Cfrac%7B-3%7D%7B4%7D%29%5E%7B2%7D%7D)
Or, cosФ = ![\sqrt{1-(\frac{9}{16})}](https://tex.z-dn.net/?f=%5Csqrt%7B1-%28%5Cfrac%7B9%7D%7B16%7D%29%7D)
Or, cosФ = ![\sqrt{\frac{16 - 9}{16})}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B16%20-%209%7D%7B16%7D%29%7D)
∴ cosФ = ![\frac{\sqrt{7}}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B7%7D%7D%7B4%7D)
<u>Again</u>
we know that cotФ = ![\frac{cos\Theta }{sin\Theta }](https://tex.z-dn.net/?f=%5Cfrac%7Bcos%5CTheta%20%7D%7Bsin%5CTheta%20%7D)
So, cotФ = ![\frac{\frac{\sqrt{7}}{4}}{\frac{-3}{4}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B%5Csqrt%7B7%7D%7D%7B4%7D%7D%7B%5Cfrac%7B-3%7D%7B4%7D%7D)
Or, cotФ = ![\frac{-\sqrt{7}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-%5Csqrt%7B7%7D%7D%7B3%7D)
As according to question sinФ lies in third quadrant
So, cotФ = ![\frac{\sqrt{7}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B7%7D%7D%7B3%7D)
Hence, The exact value of cotФ is
. Answer