Answer:
the opposite Angles sum up to give 180
Step-by-step explanation:
3y +3y = 180
y=30
if y = 30 the x = 55
are you clear?
Medical bill = $8,440
Deductible = $400
Coinsurance plan = Medical policy 80% of all expenses above $400
Amount to pay = 400+ (8440-400)*20/100 = 400+1608 = $2,008
Median and IQR are the most appropriate measures of center and spread for this data set.
<h3>Why are
Median and IQR the most appropriate?</h3>
Among the 3 central tendencies that includes the mean, median and mode; the median is the better measure because of the followings:
- Mean is affected by extreme values
- Mean is not correct if more outliers are present
- Mean may not represent the nature of the data whether skewed right or left.
Also, the median as the middle entry is not affected by extreme items or outliers, so the median is better than mean,
Furthermore, for the measure of spread, the IQR is better since extreme items will show higher std deviation and also some outliers mislead.
Therefore, Option B is correct.
Read more about measures of center
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Number of faces: F=a+3
Number of vertices: V=2a
Number of edges: E=4a-1
V+F-E=2
Replacing V=2a; F=a+3; and E=4a-1 in the formula above:
(2a)+(a+3)-(4a-1)=2
Eliminating parentheses:
2a+a+3-4a+1=2
Adding similar terms:
(2+1-4)a+(3+1)=2
(-1)a+4=2
Solving for a. Subtracting 4 both sides of the equation:
(-1)a+4-4=2-4
(-1)a=-2
Dividing both sides by (-1)
(-1)a/(-1)=-2/(-1)
a=2
Answer: The value of a is: a=2
