Answer:
11.4972 USD
Step-by-step explanation:
Approx. 11.50
The point-slope form of the equation of a line is

where
is a point on the line, and

is the slope of the line.
We can use either one of the two given points as the point on the line.
We also need to find the slope. We can use the coordinates of the two given points to find the slope of the line.
The slope of the line that passes through points

and

is

Let's find the slope using (-3, 5) as point 1 and (-1, 4) as point 2.

Now we use the point-slope formula with point 1 and the slope we found just above.

The height of the kite above the ground is 90.63 feet.
<u>Step-by-step explanation:</u>
The angle of elevation of the kite is (θ) 65°.
The distance between the kite and its end is (hypotenuse)100 feet.
To find the height (x) of the kite flying above the ground.
we know that sin(θ) =
.
sin 65°=
sin 65° = 0.90631.
0.90631 ×100=x.
90.63=x.
∴The height of the kite above the ground is 90.63 feet.
We know that
The MAD is <span>the mean absolute deviation of the data
step 1
</span><span>To find the mean absolute deviation of the data, start by finding the mean of the data set.
</span><span>Find the sum of the data values, and divide the sum by the number of data values
</span>sum of the data values=[130+150+190+100+175+120+165+140+180+190]
sum of the data values=1540
number of data=10
Mean=1540/10-----> 154
step 2
<span>Find the absolute value of the difference between each data value and the mean: |data value – mean|.
</span> |130 – 154|=24
|150 – 154|=4
|190 – 154|=44
|100 – 154|=54
|175 – 154|=21
|120 – 154|=34
|165 – 154|=11
|140 – 154|=14
|180 – 154|=26
|190 – 154|=44
step 3
<span>Find the sum of the absolute values of the differences.
</span>=[24+4+44+54+21+34+11+14+26+44]------> 276
step 4
<span>Divide the sum of the absolute values of the differences by the number of data values.
</span>276/10-----> 27.6
the answer is
27.6