The sales tax in one state is 3%. Write a function rule for finding the total cost of an item with selling price x. Then find th
2 answers:
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Answer:
ST = 12.2
Step-by-step explanation:
See the attached diagram of the triangle.
Here, Δ RST, Δ RSV and Δ STV all are right triangles.
If we assume that, ST = x and SR = y, then
From Δ RSV and Δ STV we get,
SV² = RS² - RV² = ST² - VT²
⇒ y² - 4.2² = x² - 10.3²
⇒ x² - y² = 88.45 .......... (1)
Now, from Δ RST, we have
ST² + SR² = RT²
⇒ x² + y² = (10.3 + 4.2)² = 210.25 .............. (2)
Now, adding equations (1) and (2) we get,
2x² = 298.7
⇒ x² = 149.35
⇒ x = 12.2 (Rounded to the nearest tenth}
So, ST = 12.2 (Answer)
Using it's formula, it is found that the standard deviation of the data-set is of 8.9.
<h3>How the standard deviation of a data-set is found?</h3>- The standard deviation of a data-set is given by the <u>square root of the sum of the differences squared between each observation and the mean, divided by the number of values</u>.
- The mean of a data-set is given by the <u>sum of all values in the data-set, divided by the number of values</u>.
In this problem, the data-set is: {6, 7, 5, 22, 26}.
The mean is:
Hence, the <em>standard deviation</em> is:
You can learn more about the standard deviation at brainly.com/question/12180602