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.
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The probability that she selected a white tile or a tile with an even number will be 9/20.
<h3>How to calculate the probability?</h3>
The probability simply means the act of choosing an event based on the likely occurence.
In this case, the probability that she selected a white tile or a tile with an even number will be 9/20.
Therefore, the correct option is D.
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Complete Question
Veronikas four test scores are 59, 80, 95, 88 and 93 if the outlier of 59 is removed what is the mean absolute deviation of the remaining four test scores?
Answer:
5
Step-by-step explanation:
We have the four test scores
80, 95, 88 and 93
Step 1
We find the mean of the 4 test scores
= 80 + 95 + 88 + 93/4
= 356 / 4
89
Step 2
The formula for Mean Absolute Deviation =
Summation( x - Mean)/n
Hence,
|(80 - 89 )+( 95 - 89) + (88 - 89) + (93 - 89)|/5
= 9 + 6 +1 + 4/4
= 20/4
= 5
