Hi there!
Use PEMDAS:
Evaluate inside of parenthesis:
(264 + 3 × 7)
Multiply:
(264 + 21)
Add:
285
Divide by 3:
285 ÷ 3 = 95
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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Answer:
Step-by-step explanation:
x 12x - 6 3x + 3 6(2x - 1)
1 6 6 6
2 18 9 18
3 30 12 30
Answer:
6^-1
Step-by-step explanation:
6^-6 - (-5) = 6^(-6 + 5) = 6^(-1)
A lot of things are going on in this question. Notice how the 5 is handled. It starts off in the denominator as - 5 and when brought to the numerator it becomes -(-5) which makes it + 5.
The answer is then easy. It is 6^(-6 + 5) = 6^-1
You could give the answer as 1/6 but that is not what the question says.
X-3y=18
X always has a 1 in front of it so
1x-3y=18
-1x -1x You will have to get -3y by its self.
-3y=-1x + 18 when you move 1x over the = it turns into a -1x
/-3 /-3 /-3 divided everything by -3 to get y by its self
Y= 1/3 - 6 and that is you answer
