Using it's concept, the standard deviation of the data-set is of 34.2.
<h3>What are the mean and the standard deviation of a data-set?</h3>
- 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>.
- 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>.
Having this in mind, and inserting the data-set in the calculator, it is found that:
- The standard deviation is of 34.2.
More can be learned about the standard deviation of a data-set at brainly.com/question/12180602
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"The quotient of a number and 3 less than twice the number" would translate to the expression x/(2x-3)
Basically we have x up top the fraction and 2x-3 in the bottom denominator of the fraction. The slash / means divide
Answer:
see explanation
Step-by-step explanation:
Using the rule of exponents/ radicals
= ![\sqrt[n]{a^{m} }](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5E%7Bm%7D%20%7D)
Given
![z^{\frac{3}{8} }](https://tex.z-dn.net/?f=z%5E%7B%5Cfrac%7B3%7D%7B8%7D%20%7D)
= ![\sqrt[8]{z^{3} }](https://tex.z-dn.net/?f=%5Csqrt%5B8%5D%7Bz%5E%7B3%7D%20%7D)
1 USD = 90.39 Yen.
2500 Yen * 1 USD / 90.39 Yen = 27.66 USD. Tip: the Yen cancels out.
Answer:
x = 14.7
Step-by-step explanation:
Using the sine rule
![\frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bsin%28A%29%7D%20%20%3D%20%5Cfrac%7Bb%7D%7Bsin%28B%29%7D%20%20%3D%20%5Cfrac%7Bc%7D%7Bsin%28C%29%7D)
Substitute the given values.
![\frac{7}{sin(20)} = \frac{x}{sin(46)}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7Bsin%2820%29%7D%20%20%3D%20%5Cfrac%7Bx%7D%7Bsin%2846%29%7D)
Rearrange the equation to get x on it's own.
![\frac{7sin(46)}{sin(20)} = x](https://tex.z-dn.net/?f=%5Cfrac%7B7sin%2846%29%7D%7Bsin%2820%29%7D%20%20%3D%20x)
x = 14.72246211
x = 14.7 (1dp)