Answer:
The non-equivalent ratio is 4:5.
Step-by-step explanation:
2/3 4/6 and 8/12 are equivalent because they are all multiples of each other.
Is 12 Because the pattern is 2+1=3; 4+2=6;
6+3=9; 8+4=12 and 10+5=15
The measure of angle x will be 88 degrees. Then the correct option is C.
The complete question is attached below.
<h3>What is law of cosine?</h3>
Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
2ab cos θ = a² + b² – c²
The triangle is shown below.
Then the value of the variable x will be
2 · 7 · 10 · cos x = 7² + 10² – 12²
140 · cos x = 49 + 100 – 144
cos x = (149 – 144) / 140
x = 87.95 ≈ 88°
Then the correct option is C.
Learn more about law of cosines here:
brainly.com/question/17289163
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The
![100(1-\alpha)\%](https://tex.z-dn.net/?f=100%281-%5Calpha%29%5C%25)
confidence interval of a standard deviation is given by:
![\sqrt{ \frac{(n-1)s^2}{\chi^2_{1- \frac{\alpha}{2} } }} \leq\sigma\leq\sqrt{ \frac{(n-1)s^2}{\chi^2_{\frac{\alpha}{2} } }}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7B%28n-1%29s%5E2%7D%7B%5Cchi%5E2_%7B1-%20%5Cfrac%7B%5Calpha%7D%7B2%7D%20%7D%20%7D%7D%20%5Cleq%5Csigma%5Cleq%5Csqrt%7B%20%5Cfrac%7B%28n-1%29s%5E2%7D%7B%5Cchi%5E2_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%20%7D%20%7D%7D)
Given a sample size of 31 charge sales, the degree of freedom is 30 and for 90% confidence interval,
![\chi^2_{1- \frac{\alpha}{2} }=43.773 \\ \\ \chi^2_{\frac{\alpha}{2} }=18.493](https://tex.z-dn.net/?f=%5Cchi%5E2_%7B1-%20%5Cfrac%7B%5Calpha%7D%7B2%7D%20%7D%3D43.773%20%5C%5C%20%20%5C%5C%20%5Cchi%5E2_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%20%7D%3D18.493)
Therefore, the 90% confidence interval for the standard deviation is given by