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:
71
Step-by-step explanation:
The question says we have 140 bags and we have 4 models
bags have buttons but no zips.
bags have zips but no buttons.
bags have neither zips nor buttons
bags have both zips and buttons
We don't know how many bags have zips and buttons but we know how many bags are produced. And other 3 types of bags number. So we can calculate
140-47-48-22=23
That means we have 23 bags that have zips and buttons
and
48 of the bags have zips too. that means we have 48+23=71 bags that have zips on them.
Answer:
1
Step-by-step explanation:
Step-by-step explanation:
Rate of drop of temperature = Change in temperature/Rate
=> (165 - 135)/15
=> 30/15
=> 2 ⁰F/min
Now, The time at which the temperature of will be 70⁰F = 70/Rate
=> 70/2
=> 35 min
Time for 110⁰ F
=> 110/2
=> 55 min
Answer:
D
Step-by-step explanation: