STEP 1
Mean =
STEP 2
Subtract the mean from each data value then square the answer
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STEP 3
Add the squared answers in STEP 2 then find the mean
STEP 4
Square root the answer in STEP 3
Standard deviation is 236.5
The co ordinates of P' is (-7,-2) and Q' is (-16, -8)
<u><em>Explanation</em></u>
PQ is rotated 180 degrees clockwise about P. It means <u>P and P' are the same points</u>.
According to the graph, the coordinates of P is (-7, -2) and Q is (2, 4)
When PQ is rotated 180 degrees clockwise about P, then <u>P or P' will be the mid-point of Q and Q' </u>
Suppose, the co ordinate of Q' is (x, y)
Now according to the mid-point formula, the coordinate of P or P' will be: 
, which is actually at (-7, -2)
Thus.....
So, the co ordinates of P' is (-7,-2) and Q' is (-16, -8)
Answer:
4. Option: 2
5. 7 inches
Step-by-step explanation:
The central 50 percent of data around average
Answer:
see explanation
Step-by-step explanation:
(a)
The angles are vertical and congruent, that is
x - 10 = 125 ( add 10 to both sides )
x = 135
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(b)
Supplementary angles sum to 180°
The angles are in the ratio 2 : 3 = 2x : 3x ( x is a multiplier ), then
2x + 3x = 180
5x = 180 ( divide both sides by 5 )
x = 36
thus
2x = 2 × 36 = 72
3x = 3 × 36 = 108
Then the 2 angles are 72° and 108°
