Answer:
So, the sample mean is 31.3.
So, the sample standard deviation is 6.98.
Step-by-step explanation:
We have a list of data for the speeds (in miles per hour) of the 20 vehicles. So, N=20.
We calculate the sample mean :

So, the sample mean is 31.3.
We use the formula for a sample standard deviation:

Now, we calculate the sum

Therefore, we get

So, the sample standard deviation is 6.98.
Answer:
10
Step-by-step explanation:
The formula for finding the distance between 2 points (x1, y1) and (x2, y2) is
d = √[(x2 - x1)² + (y2 - y1)²]
Here (x2, y2) = (6, -8) and (x1, y1) = (0, 0)
Plugging them gives us
d = √[(6 - 0)² + (-8 - 0)²]
d = √[(6)² + (-8)²]
d = √[36 + 64]
d = √100
d = 10
Answer:
-75°
Step-by-step explanation:
-30°+-30°+-15°
Im one brainliest away from a rank up!
1.7) < 7 and < 8 form a linear pair....which means, when added, they equal 180 degrees. So if < 7 = 61, then < 8 = (180 - 61) = 119 <=
1.8) angles that are supplementary will add up to 180. So if one of the angles is 38, then the other one is (180 - 38) = 142 <==
1.9) < 3 = < 5 (vertical angles are congruent)
1.10) < 2 = < 8 (vertical angles are congruent)
1.11) < 7 = < 1 (vertical angles)
1.12) < 6 = < 4 (vertical angles)