Answer:
MAD is 5.12
Step-by-step explanation:
The following data were obtained from the question:
42, 50, 54, 38, 48
Next, we shall determine the mean of the data. This can be obtained as follow:
Mean = summation X / n
n is the number of the data.
Summation X = 42 + 50 + 54 + 38 + 48
Summation X = 232
n = 5
Mean = summation X / n
Mean = 232 / 5
Mean = 46.4
Therefore, the mean of the data is 46.4
Finally, we shall determine the mean absolute deviation (MAD) of the data as follow:
MAD = summation |mean – X| /n
MAD = (|(46.4 – 42) + (46.4 – 50) + (46.4 – 54) + (46.4 – 38) + (46.4 – 48|) /5
MAD = |4.4 + 3.6 + 7.6 + 8.4 + 1.6| /5
MAD = 25.6/5
MAD = 5.12
Therefore, the mean absolute deviation (MAD) is 5.12
It is an open circle on 2 and then pointing to the left
Answer:
Step-by-step explanation:
Try and become familiar with a program like Desmos. It will do wonderful things for you.
I have graphed
Red: y = -2x + 5 (The 5 is the y intercept. For this question it could be anything.
Blue: y = - 4x + 5 Same note as above.
I think it would be b or c
Answer:
Options B and D are true.
Step-by-step explanation:
See the diagram attached.
Line a and b are parallel and line c is not parallel to them.
There is a transverse line and this line forms the angles 1 to 12.
Now, option A gives ∠ 8 + ∠ 10 = 180° which can not be true as line c is not parallel to line b.
Option B gives ∠4 + ∠ 6 = 180° which is true because line a is parallel to line b and ∠ 4 and ∠ 6 are interior supplementary angles.
Option C gives ∠ 1 + ∠ 11 = 180° which can not be true as line c is not parallel to line a.
Option D gives ∠3 + ∠ 5 = 180° which is true because line a is parallel to line b and ∠ 3 and ∠ 5 are interior supplementary angles.
Therefore, options B and D are true. (Answer)
