Answer:
Option B. 7.5 is the correct answer
Step-by-step explanation:
Let us define standard deviation first.
Standard deviation is the square root of variance. Standard Deviation tells us that how far are the values in a data set from the mean.
Now, if a constant is subtracted from all values of a dataset, the standard deviation remains the same. Only the origin or mean of the data changes by subtracting a constant from whole data set.
Given that the standard deviation of dataset is 7.5
Subtracting 2 from each value of dataset will not change the standard deviation as 2 is a constant.
Hence,
Option B. 7.5 is the correct answer
<em>Answer:</em>
<em>In my opinion the answer is </em><em><u>y = 6</u></em>
<em>Step-by-step explanation:</em>
<em>We have two unknowns from the equation therefore, two equations are needed. These equations are:
</em>
<em>
</em>
<em>3x + y = 9 </em>
<em>y = –4x +10 </em>
<em>
</em>
<em>To solve for y, we first substitute the second equation to the first one.
</em>
<em>3x + –4x +10= 9 </em>
<em>x = 1
</em>
<em>
</em>
<em>We substitute the value of x to either of the equations and solve for y.
</em>
<em>
</em>
<em>y = –4(1) +10 </em>
<em>y = 6</em>
Let no. of pens be x.
Pens : x
Pencils: x+8
Total: 2x+8
Student takes 1 pen and 5 pencils.
Remainder: 2x+8 - 5 -1 = 2x+2
2x+2 = 26
2x= 24
x = 12 (original no. of pens)
x+ 8 = 20 (original no of pencils)
There are 12 pens at first and 20 pencils.
After 1 pen is taken, 11 pens are left.
After 5 pencils are taken, 20-5=15 pencils are left.
<span>15 sides is the right answer
hope it helps
</span>
Deal with what’s in parenthesis first
You should get an answer of -12.7