Answer: The standard deviation was calculated incorrectly.
Step-by-step explanation:
- The standard deviation measures the dispersion of the data values from the mean value.
It cannot be negative , because it is the square root of the variance .
We add all squared deviations from the data points away from the mean and (then divide it by the number of data values) to evaluate variance.
Since , any squared number cannot give a negative result.
⇒ Standard deviation cannot be negative.
⇒The standard deviation was calculated incorrectly.
Rest other things (given in options) can not be interpreted on the basis of given information.
Hello.
-7h + 2(-4h + 5) > -4h + 1 + 10 ; solve for h
Our first step is to get rid of all the parenthesis. We can do this by simplifying everything out.
-7h - 8h + 10 > -4h + 11
Add like terms.
-15h + 10 > -4h + 11
Now, we must isolate our variables. We do this by moving all variables to one side and moving our other numbers to the other.
Subtract 10 from both sides. Then, add 4h to both sides.
-15h + 4h > 11 - 10
Simplify.
-h > 1
Divide both sides by -1.
However, keep in mind that when dividing with a negative, you must change the sign. Therefore, > turns into <
-h ÷ -1 < 1 ÷ -1
h < -1
28 + 29 + 42 = 28 + 42 + 29 = 99
Commutative property: a + b = b + a
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We are asked to simplify the expression
.

That's exactly what we need to do - combine like terms.
So, we subtract:

Which gives us:

Hope it helps you out! :D
Ask in comments if any queries arise.
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Answer:
Since both terms are perfect squares, factor using the difference of squares formula, a
2
−
b2
=
(
a
+
b
)
(a
−
b
) where a=
1 and b
=
10
x
.
(
1
+
10
x
(
1
−
10
x
)
Step-by-step explanation: