Answer:
Mean: 5
Median: 4.5
Mode: 5
Mean Absolute Deviation: 0.5
Step-by-step explanation:
<u>MEAN: </u>
The mean is the total of the numbers divided by the amount of numbers.
Add them all together: 5 + 4 + 6 + 5 + 4 + 6 + 5 + 5 = 40
Find how many numbers there are: 8
Divide the total of the numbers by the amount of numbers: 40 / 8 = 5
The mean of this data is 5
<u>MEDIAN:</u>
Find the number in the middle. In this case there is no number in the middle (the amount of numbers is even). So we find the average of the two middle numbers: (5 + 4) / 2 = 4.5
The median of this data is 4.5
<u>MODE:</u>
The mode is the number that occurs the most. In this case it is 5.
The mode of this data is 5
<u>MEAN ABSOLUTE DEVIATION:</u>
We know that the mean of this data is 5 so we will skip finding the mean.
Now we need to find the absolute difference of the numbers and the mean.
| 5 - 5 | = 0
| 4 - 5 | = 1
| 6 - 5 | = 1
| 5 - 5 | = 0
| 4 - 5 | = 1
| 6 - 5 | = 1
| 5 - 5 | = 0
| 5 - 5 | = 0
Then we add all of these together: 0 + 1 + 1 + 0 + 1 + 1 + 0 + 0 = 4
After that we divide the total by the amount of numbers 4 / 8 = 0.5
The mean absolute deviation of this data is 0.5
Answer:
Triangle PRT is similar to triangle SRQ
Step-by-step explanation:
AA similarity Postulate :If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
one angle is already given : angle RPT congruent to angle RSQ
The other is : angle TRP congruent to angle SRQ (both triangles share the same angle)
Triangle PRT is similar to triangle SRQ (AA postulate)
2x+7=3
move 7 to the other side
sign changes from +7 to -7
2x+7-7= 3-7
2x= 3-7
2x= -4
divide both sides by 2 to get x by itself
2x/2= -4/2
answer:
x= -2
Plug 129 for x
(-12 x 129)+(14 x 129)-(6 x 129)
Which would be -1548+1806-774
Which equals -516
