The new mean and standard deviation is 26 and 15, when each score in data set is multiplied by 5 and then 7 is added.
According to the question,
Original mean is 10 and original standard deviation is 5 . In order to find to new mean and standard deviation when each score in data set is multiplied by 5 and then 7 is added.
First "change of scale" when every score in a data set is multiplied by a constant, its mean and standard deviation is multiplied by a same constant.
Mean: 10*3 = 30
Standard deviation: 5*3 = 15
Secondly "change of origin" when every score in a data set by a constant, its mean get added or subtracted by the same constant and standard deviation remains constant.
Applying change of origin in the above mean and standard deviation
Mean: 30 - 4 = 26
Standard deviation: Remains same = 15
Hence, the new mean and standard deviation is 26 and 15, when each score in data set is multiplied by 5 and then 7 is added.
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Answer:
In a proper fraction, the numerator is less than the denominator.
Step-by-step explanation:
For example, 3/4. It is a proper fraction because the numerator is not greater than the denominator.
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For finding it you have to divide the given numbers.</h2>
This is also a value of π (pi)
The formula to find the volume of a cylinder is 3.14 • r squared • h
Add 4y to both sides of the equation:
x=4y-22
Now replace x in the equation:
(4y-22)-4y=-22
Distribute the negative sign:
-4y+22-4y=-22
Add common terms:
-8y+22=-22
Add 8y to both sides of the equation:
8y-22=22
Add 22 to both sides of the equation:
8y=44
Divide both sides by 8:
y=5.5
