78....................................................
Answer:
The simplified expression is 16^-1/6
Step-by-step explanation:.
16^5/4•16^1 /4/ (16^1/2)^2
The dot means multiplication. The expression is rewritten as
16^5/4 × 16^1/4 / (16^1/2)^2
Recall the following rules of indices
1) y^a × y^b = y^(a+b)
2) (y^a)^b = y^ab
y^b/ y^a = y^(b-a)
Applying these rules of indices
16^5/4 × 16^1/4= 16^((5/4×1/4) = 16^((5/16)
(16^1/2)^2= 16^ 1/2×2 = 16^1 = 16
Therefore
16^5/4 × 16^1/4 / (16^1/2)^2
= 16^(5/16) /16
=16^(5/6) × 16^-1
= 16^ (5/6)-1
= 16^-1/6)
,The simplified expression is 16^-1/6
Answer:
Step-by-step explanation:
Previous concepts
The mean absolute deviation or MAD "is the average of the absolute deviations or the positive difference of the given data and that certain value (generally central values)". And is given by this formula:
Solution to the problem
Assuming the info from the picture. So then the data is this one:
66,69,70,70,71,72,72,72,73,73,74,75,75,75
So the first step is find the mean for the dataset with the following formula:
And if we replace the values we got:
And now we need to subtract for each value the mean like this:
Data
66 5.929
69 2.929
70 1.929
70 1.929
71 0.929
72 0.0714
72 0.0714
72 0.0714
73 1.0714
73 1.0714
74 2.0714
75 3.0714
75 3.0714
75 3.0714
Now we need to add the deviations and divide by the the number of data values and we got:
Answer:
D. ÷ 3
Step-by-step explanation:
We can use any numbers for x to see what would happen to y:
If x was 5, y would be 1 (because 5 ÷ 5 = 1). Now, if we tripled x and made it 15 (5 × 3 = 15), y would be 1/3 (because 5 ÷ 15 = 1/3).
This means that the value of y divides by 3, option D
Hope this helps!
Separate the inequalities by part.
We'll do 8 < 12+c first then 12+c<12 next.
Then 12+c<12
Then mix c<0 and c>-4 as we'll get #