Answer:
Option D → -0.28
Step-by-step explanation:
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.
Learn more about Mean and standard deviation here
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<h3>
Answer:</h3>
b. The side length of a cube is dependent on the volume.
<h3>
Step-by-step explanation:</h3>
The function definition V(s) means the volume (V) is dependent upon the side length (s), <em>not the other way around</em>.
Answer:
44u-36
Step-by-step explanation:
Apply the distributive property.
−6(−7u)−6⋅6+2u
Multiply −7 by −6.
42u−6⋅6+2u
Multiply −6 by 6.
42u−36+2u
Add 42u and 2u.
44u-36