Supplementary angles add up to 180 degrees
ratio of 1:4.....added = 5
1/5(180) = 180/5 = 36 <=== smaller angle
4/5(180) = 720/5 = 144 .... larger angle
Answer: 36π
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
Let
So:
--- probability of O
--- Number of spin
Using the complement rule, the probability that a spin will not land on orange is:
Express as decimal
On two spins, the probability that it will not land on orange is:
So, we have:
<em></em><em> --- approximated</em>
Answer:
B
Step-by-step explanation:
Data set D does not contain the value 128, which is the median value.
Data set C does not contain the outlier value 91.
Data set A contains value 168, which does not show up on the plot.
The only remaining choice is B.
_____
In order, the data values of set B are ...
... 91, 114, 120, 126, 128, 128 134, 136, 139, 142, 152
The median value of these 11 is the 6th one: 128. The median values of the remaining two sets of 5 are 120 and 139, making these values the quartiles at the ends of the box. The value 91 is more than 1.5 times the IQR (19) below the 1st quartile, so is considered an outlier. (The cutoff is 120-1.5·19=91.5.)
Answer:
y = 1/3
Step-by-step explanation:
<u>Step 1: Factor</u>
9y^2 - 6y + 1 = 0
(3y - 1)(3y - 1) = 0
(3y - 1)^2 = 0
<u>Step 2: Solve for y</u>
3y - 1 + 1 = 0 + 1
3y / 3 = 1 / 3
y = 1/3
Answer: y = 1/3
