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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To find the total number of combinations, multiply all the choices together:
3 eggs x 4 meats x 5 breads x 6 juices x 4 beverages:
3 x 4 x 5 x 6 x 4 = 1,440 different breakfasts
Answer:
x = - 2
Step-by-step explanation:
Given
- 1.2x + 2.5 = 0.8x + 6.5 ( subtract 0.8x from both sides )
- 2x + 2.5 = 6.5 ( subtract 2.5 from both sides )
- 2x = 4 ( divide both sides by - 2 )
x = - 2
Answer:
B: 8 7/8 Lbs
Step-by-step explanation:
answer = 
step 1 find a common denominator
common denominator - 8
* apply *

now we have

step 2 make each fraction a improper fraction
We can do this my multiplying the big number by the denominator and adding that to the numerator.

now we have

Now we can subtract
remember when subtracting fractions you only subtract the numerators. ( so we keep the denominator as 8 )
so 121 - 28 - 22 = 71
so the answer is 
finally we want to change the answer back into a mixed fraction
To do this we divided 71 and 8
8 can go into 71 8 times
8 * 8 = 64
71 - 64 = 7
We're left with 
Answer:
64 cm²
Step-by-step explanation:
Firstly,let us lay down the clues;
So, we have been given the Length and Width of the rectangle.
Rectangle;
<em>Length</em><em>=</em><em> </em><em>10</em><em> </em><em>cm</em>
<em>Width</em><em>=</em><em>6</em><em> </em><em>cm</em>
We know that
Perimeter= 2L + 2W
Perimeter= 10+10+6+6
Perimeter =32 cm
In the questionnaire, it is mentioned that a square has the same perimeter as the rectangle. That means, the perimeter of the square is similar to the one of the rectangle which is 32 cm.
So,
Perimeter of square =32 cm
Length of one side of the square =32÷4
=8 cm
Area= L × W
Area= 8 cm× 8 cm
Area= 64 cm²
Hope it helps.