Answer:
The mean absolute deviation of this data is .
Step-by-step explanation:
The mean absolute deviation (MAD) of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.
The steps to find the MAD include:
- find the mean (average)
- find the difference between each data value and the mean
- take the absolute value of each difference
- find the mean (average) of these differences
To find the mean absolute deviation of this data you must
Step 1: Calculate the mean.
Step 2: Calculate the distance between each data point and the mean and take the absolute value of each difference
.
Step 3: Add the distances together.
Step 4: Divide the sum by the number of data points.
Answer:
34.29 (rounded to the nearest hundredth)
Step-by-step explanation:
Step-by-step explanation:
sin2x - sinx = 0
2sinxcosx - sinx = 0
(Double Angle Formula)
sinx(2cosx - 1) = 0
Either sinx = 0 or cosx = 1/2.
When sinx = 0,
x = 0 or x = π.
When cosx = 1/2,
x = π/3 or x = 5π/3.
Hence the solutions are
x = 0, x = π/3, x = π or x = 5π/3.
Answer:
s = 17 inches
Step-by-step explanation:
Since this is a parallelogram, it has two sets of equal sides. We are given that one of the sides is 19 and the perimeter is 72. Therefore, \
72 = 2*s + 2*19
72 = 2*s + 38
34 = 2*s
s = 17
People firstly believe that the planets move in a circular orbit until Newton came up with his hypothesis by inventing calculus so that we could understood and calculated planetary orbits and their accuracy.
Explanation:
Everyone assumed the planets were perfect circles until Newton came up with an idea. Slowly people would make maps of the orbits that added circles on circles, and they could never really explain about the movement of the planet. They simply say that planets move on circles but they lacked the math to explain or prove it. Then Newton came up with an idea of inventing calculus so that we could understood and calculated planetary orbits and their accuracy.
Firstly people used their observations and say that the orbits looked like circles, then they developed their models and did the math, and proposed their hypothesizes which were wrong, until Newton came along and tried to match a model that used elliptical orbits and invented the math that allowed him to make predictions with it. His model worked for most planets.
However he could not explain about the planet Mercury for instance since it was a very strange orbit. Then after the Einstein's theory of General Relativity he could also explain very deeply about it.
Scientists and Astronomers made hypothesizes that there was another planet orbiting too close to the sun to see with telescopes, called Vulcan, that explained mercury's orbit before Einstein's theory. Then long after we had telescopes which was good enough to see if there was a planet orbiting closer to the sun than mercury.