Answer:
(-5, 0) ∪ (5, ∞)
Step-by-step explanation:
I find a graph convenient for this purpose. (See below)
__
When you want to find where a function is increasing or decreasing, you want to look at the sign of the derivative. Here, the derivative is ...
f'(x) = 4x^3 -100x = 4x(x^2 -25) = 4x(x +5)(x -5)
This has zeros at x=-5, x=0, and x=5. The sign of the derivative will be positive when 0 or 2 factors have negative signs. The signs change at the zeros. So, the intervals of f' having a positive sign are (-5, 0) and (5, ∞).
<span>
Based on the rules of statistics</span>
68% of the data falls within 1 standard deviation of the mean
95% of the data falls within 2 standard deviation of the mean
99% of the data falls within 3 standard deviation of the mean
20 falls between the range of -56 to 56 (from the given 95%)
Hence we accept the null hypothesis; else, if the mean falls outside the
range, we reject the null hypothesis.
<span> </span>
Answer:
Y=5(x) Yes it is porportional.
Step-by-step explanation:
So lets look at the graph.
We first have 1x = 5y
Well, that makes it seem like for each x there are 5 y.
Lets see the other values:
2x = 10y
Divide both sides by 2 tog et x alone:
1x=5y
Again, for each x, there are 5y.
This is true for each one:
3x=15y
=
1x=5y
4x=20y
=
1x=5y
5x=25y
=
1x=5y
and finally:
6x=30y
=
1x=5y.
So yes, this is poroportional.
It can be shown as x=5y, since for a single x, there are 5 y's.
Hope this helps!
Answer:
Option B - 90 students at random during lunch
Step-by-step
An unbiased sample is defined as:
A sample is an unbiased sample if every individual or the element in the population has an equal chance of being selected.
Based on this, we can eliminate:
Option A) - It prevents non-eighth-graders of the school from being represented.
Option C) - Students in a hallway might take a particular class together/may be of the same grade. This gives them an unfair advantage.
Option D) - All students who are not in chorus are not represented in this set.
Answer:
126.34kg
Step-by-step explanation:
125.8+0.54=126.34kg
Convert 540 grams to kilograms` 0.54 kilograms, and add to the previous record
