Answer:
C
Step-by-step explanation:
Let's consider the first answer choice:
The times in the semifinals were faster on average than the times in the finals.
We don't have to calculate the mean values of each distribution because we can see visually that the center of the final round distribution is lower than the center of the semifinal round distribution.
Since lower times are faster, we can't say that the times in the semifinals were faster on average than the times in the finals.
Hint #22 / 3
Now, let's consider the second answer choice:
The times in the finals vary noticeably less than the times in the semifinals.
We can see visually that the final round distribution is more spread out than the semifinal round distribution. We could calculate MAD or IQR from these displays, but we can see that the range of the final round distribution is larger.
So we can't conclude that the times in the finals vary noticeably less than the times in the semifinals.
Hint #33 / 3
Select this answer:
None of the above
Pay attention here because I'm adding an extra letter to our circle to help keep track of the values in our formula. OUTSIDE of the intercepted arc I'm adding the point E. So the major arc is arc BEG and the minor arc is arc BG. The formula then for us is ∠
![BFG= \frac{1}{2}(arcBEG-arcBG)](https://tex.z-dn.net/?f=BFG%3D%20%5Cfrac%7B1%7D%7B2%7D%28arcBEG-arcBG%29%20)
. We just don't have values for the arcs yet. If the measure of the central angle is 4x+238, then the measure of arcBG is also 4x+238. Around the outside of the circle is 360°. So we will use it in an expression. ArcBEG=360-(4x+238). Fitting that into our formula we have
![2x+146= \frac{1}{2}[(360-4x-238)-(4x+238)]](https://tex.z-dn.net/?f=2x%2B146%3D%20%5Cfrac%7B1%7D%7B2%7D%5B%28360-4x-238%29-%284x%2B238%29%5D%20)
. Doing all the simplifying inside there we have
![2x+146= \frac{1}{2}(122-4x-4x-238)](https://tex.z-dn.net/?f=2x%2B146%3D%20%5Cfrac%7B1%7D%7B2%7D%28122-4x-4x-238%29%20)
and
![2x+146= \frac{1}{2}(-8x-116)](https://tex.z-dn.net/?f=2x%2B146%3D%20%5Cfrac%7B1%7D%7B2%7D%28-8x-116%29%20)
. Multiply both sides by 2 to get rid of the fraction: 4x+292=-8x-116. Combine like terms to get 12x = -408 and divide to solve for x. x = -34. Fourth choice down from the top.
6.3
use the equation 4/3 *r^3 *pi for each, then find the difference
Step-by-step explanation:
the first answer is <u>7</u><u>2</u><em> </em><em>as</em><em> </em><em>it</em><em> </em><em>is</em><em> </em><em>it</em>
Step-by-step explanation:
1.before starting first collect the like terms.
5(2x+1)=10x
the like terms are 10x and 2x
2. 5+1=10x-2x because the 2x us crosing the equality sign
that is
6=8