Answer:
the average distance from the mean is:
$ 7.2
step-by-step explanation:
we are given data points as:
$7, $20 , $9 , $35 , $12 , $15 , $7 , $10 , $20 , $25 , $7 , $20 , $9 , $35 , $12 , $15 , $7 , $10 , $20 , $25
the mean of the data set is:
now we are asked to find the average distance from the mean or mad of the data.
the absolute difference of each data point from mean is calculated as follows:
|7-16|=9
|20-16|=4
|9-16|=7
|35-16|=19
|12-16|=4
|15-16|=1
|7-16|=9
|10-16|=6
|20-16|=4
|25-16|=9
|7-16|=9
|20-16|=4
|9-16|=7
|35-16|=19
|12-16|=4
|15-16|=1
|7-16|=9
|10-16|=6
|20-16|=4
|25-16|=9
the answer is: $ 7.2
Answer:
15?
Step-by-step explanation:
it's at just about 15 on the graph I think, sorry I can't see it that well
Answer:
x = 5.5 to the nearest tenth.
Step-by-step explanation:
Here we have a right triangle with one angle (65 degrees) given. Side x is the "side adjacent to the angle" and is to be found. The hypotenuse is 13.
The cosine function makes use of these three knowns: the angle, the hypotenuse and the adjacent side. Thus:
cos 65 degrees = adj / hyp = x / 13, or
x = 13 cos 65
Evaluating this on a calculator, we get x = 5.49, or x = 5.5 to the nearest tenth.
9514 1404 393
Answer:
- cable length: 300.2 ft
- anchor distance: 193.0 ft
Step-by-step explanation:
The side given is opposite the given angle. We want to find both the hypotenuse and the adjacent side in the right triangle that models the geometry.
Sin = Opposite/Hypotenuse
sin(50°) = (230 ft)/h
h = (230 ft)/sin(50°) ≈ 300.24 ft
The length of the cable must be about 300.2 feet.
__
Tan = Opposite/Adjacent
tan(50°) = (230 ft)/d
d = (230 ft)/tan(50°) ≈ 192.99 ft
The cable must be anchored about 193.0 ft from the tower.
Answer:
JL = 3x - 2
Step-by-step explanation:
LM = 2x - 6
JM = 5x - 8
JL + LM = JM
JL + (2x - 6) = (5x - 8)
JL = (5x - 8) - (2x - 6)
JL = 3x - 2
