By <em>trigonometric</em> functions and law of cosines, the value of x associated with a <em>missing</em> angle in the <em>geometric</em> system is between 7.701 and 7.856.
<h3>How to find a missing variable associated to an angle by trigonometry</h3>
In this question we have a <em>geometric</em> system that includes a <em>right</em> triangle, whose missing angle is determined by the following <em>trigonometric</em> function:
sin (7 · x + 4) = 12/14
7 · x + 4 = sin⁻¹ (12/14)
7 · x + 4 ≈ 58.997°
7 · x = 54.997°
x ≈ 7.856
In addition, the <em>geometric</em> system also includes a <em>obtuse-angle</em> triangle and that angle can be also found by the law of the cosine:
7² = 8² + 6² - 2 · (8) · (6) · cos (7 · x + 4)
17/32 = cos (7 · x + 4)
7 · x + 4 = cos⁻¹ (17/32)
7 · x + 4 ≈ 57.910°
7 · x ≈ 53.910°
x ≈ 7.701
Hence, we conclude that the value of x associated with a <em>missing</em> angle in the <em>geometric</em> system is between 7.701 and 7.856.
To learn more on triangles: brainly.com/question/25813512
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The standard error of the mean is given by:
![\frac{\sigma}{\sqrt[]{n}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%5B%5D%7Bn%7D%7D)
where sigma is the standard deviation and n is the sample size. In this case the sample size is 10 and the standard deviation is 0.657, then the standard error is:
![\frac{0.657}{\sqrt[]{10}}=0.208](https://tex.z-dn.net/?f=%5Cfrac%7B0.657%7D%7B%5Csqrt%5B%5D%7B10%7D%7D%3D0.208)
Therefore the standard error is $0.208.
X=4
y=-4
hope this helps u out :)
Answer:
Step-by-step explanation:
It depends on whether you mean ln(1/49k) or ln(1/(49k)).
