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:
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Answer:1
Step-by-step explanation:
because 1 devided by 3 is 3 and 1 devided by 25 is 5
Step-by-step explanation:
45% of number = 180
=> 100% of number = 180 * (100/45) = 400.
Hence the number is 400.
Answer:
1. f(4) or f(n)= 28
2. f(-2) or f(n)= -2
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Step-by-step explanation:
n=4 n=-2
f(n)= 5(n)+8 f(n)= 5(n)+8
f(n)= 5(4)+8 f(n)= 5(-2)+8
(n)= 20+8 f(n)= -10+8
f(n)=28 f(n)=-2