To start, we're given the range that x lies in: from -1 to 4. We know from the fact that

that -1 will be <em /><em>included</em> in that range, so we mark -1 on the number line with a solid circle. We also know from

that, while x can be any value <em>up to</em> 4, it does not <em>include </em>4. We indicate this by drawing a hollow circle around 4 on the number line. Since x can be <em>any value within this range</em>, we make that fact clear by drawing a bold line between the points -1 and 4 on the number line. I've attached an image of what our final graph would look like.
Therefore, the required vertices after rotation are W'(5,3), X'(3,1),Y'(5,-1) and Z'(7,1).
Answer:
33 degrees
Step-by-step explanation:
(4x+1) and (2x-19) add up to 180 degrees

If the outliers are not included, what is the mean of the data set? 76, 79, 80, 82, 50, 78, 83, 79, 81, 82 (2 points) Select one
wlad13 [49]
Hello!
As you can see, 50 is the outlier, as it is not around the other numbers in the data set. Therefore, we will calculate the mean of all the numbers if we add up all the numbers and divide by 9.
(76+79+80+82+78+83+79+81+82)÷9=80
The mean of this data set (excluding the outlier) is 80.
I hope this helps!
Answer: It is believed that exactly 20% of Evergreen Valley college students attended the opening night midnight showing of the latest harry potter movie.
Step-by-step explanation:
Since we have given that
n = 84
x = 11
So, 
p = 0.20
So, hypothesis:

so, test statistic value would be

At 1% level of significance, critical value would be
z= 2.58
Since 2.58>-1.604
So, We will accept the null hypothesis.
Hence, It is believed that exactly 20% of Evergreen Valley college students attended the opening night midnight showing of the latest harry potter movie.