Answer:
88°
Step-by-step explanation:
Since we have 2 parallel lines, first we use the Corresponding Angles Postulate.
Since angle 2 is corresponding to the 92° angle,
angle 2 = 92°
Now we know that angle 1 and angle 2 are supplementary.
This means:
angle 1 + angle 2 = 180°
<em>(substitute known values)</em>
angle 1 + 92 = 180
<em>(subtract 92 on both sides)</em>
<h2>
angle 1 = 88°</h2><h2>
</h2>
Hope this helps, please say thanks if it does!
Answer:
By the Central Limit Theorem, both would be approximately normal and have the same mean. The difference is in the standard deviation, since as the sample size increases, the standard deviation decreases. So the SRS of 600 would have a smaller standard deviation than the SRS of 200.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For the sampling distribution of size n of a sample proportion p, the mean is p and the standard deviation is 
Differences between SRS of 200 and of 600
By the Central Limit Theorem, both would be approximately normal and have the same mean. The difference is in the standard deviation, since as the sample size increases, the standard deviation decreases. So the SRS of 600 would have a smaller standard deviation than the SRS of 200.
Answer:
m - 18
Step-by-step explanation:
Symbolically, that difference would be written as m - 18.
Answer:
100r^4 + 400r^3 + 600r^2 + 400r + 100
Step-by-step explanation:
Expanding ( r + 1 )^4 gives :-
r^4 + 4r^3 + 6r^2 + 4r + 1
So multiplying 100 with r^4 + 4r^3 + 6r^2 + 4r + 1 gives :-
100r^4 + 400r^3 + 600r^2 + 400r + 100