Step-by-step explanation:
Given information:
A fence on a hill uses vertical posts L and M to hold parallel rails N and P
The diagram is attached below
Here lines N and P are parallel lines
Transversal line for parallel lines N and P is line L
Calculation:
angle 1 and angle 16 are consecutive exterior angles
If parallel lines are cut by a transversal then consecutive exterior angles are supplementary
So measurement of angle 16 = 65 degrees
Answer:
If we compare this value with the 47.3 proposed we have the following error
The computed mean is close to the actual mean because the difference between the means is less than 5%.
Step-by-step explanation:
Assuming the following dataset:
Speed 42-45 46-49 50-53 54-57 58-61
Freq. 21 15 6 4 2
And we are interested in find the mean, since we have grouped data the formula for the mean is given by:
And is useful construct a table like this one:
Speed Freq Midpoint Freq*Midpoint
42-45 21 43.5 913.5
46-49 15 47.5 712.5
50-53 6 51.5 309
54-57 4 55.5 222
58-61 2 59.5 119
Total 48 2276
And the mean is given by:
If we compare this value with the 47.3 proposed we have the following error
The computed mean is close to the actual mean because the difference between the means is less than 5%.