Using the definitions of the mean and of the standard deviation of a data-set, we have that:
- The standard deviation would remain constant.
<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>.
When the measure of 84 is added to the data-set, we have that:
- A measure greater than the mean is added, hence the mean would increase.
- The difference squared between 84 and the mean of 81 is of 9, which is the same as the standard deviation, which would remain constant.
More can be learned about the mean and the standard deviation of a data-set at brainly.com/question/26941429
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Answer:
3/20 of the students play soccer
Step-by-step explanation:
1. Divide the amount of students that play sports, 3/4 by the amount of those that play soccer, 1/5
2. 3/4 divided by 1/5= 3/20
Answer:
it would be y= -7
Step-by-step explanation:
The correct answer of the given question above would be option A. Under a dilation, a figure is enlarged and its orientation is preserved. Based on this, the correct answer statement that best describes the dilation is this: <span>The image is along the same ray as the pre image but is farther from the center of dilation. Hope this answer helps. </span>
Symbol i we call imaginary unit =>
This is basic
i^2= i * i = -1
i^3= i^2 * i = -1 * i = - i
i^4= i^3 * i = -i * i = - (i * i )=- (i^2)= - (-1) = 1
i^5= i^4 * i = 1 * i = i
i^6= i^5 * i = i * i = i^2 = -1
i^7= i^6 * i = -1 * i = - i
i^8= i^7 * i = -i * i = -(i * i)= -( i^2)= - (-1) = 1
You have all you need.
You conclude which simplifications of the power i are correct.
Good luck!!!!