John is about to roll a six-sided, fair number cube 60 times. He wants to predict how many times the cube will land on an even n
2 answers:
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Answer:
c.negative
True, by definition since the variance take in count the differences around the mean squared, then we can't have a negative value for a sum of square values.
Step-by-step explanation:
We need to remember that the variance is a measure of dispersion for a dataset respect to a measure of central tendency called the mean. The mean is defined as:
And the population mean is given by:
The population variance is defined by:
And the sample variance is defined as:
Now if we analyze the options we have this:
a.zero
False, if all the values are the same then the mean would be the same to the values and the difference between each value and the mean would 0 and indeed the variance would be 0.
b.larger than the standard deviation
False, if the population standard deviation is then the variance would be
and as we can see is higher than the standard deviation
c.negative
True, by definition since the variance take in count the differences around the mean squared, then we can't have a negative value for a sum of square values.
d.smaller than the standard deviation
False, if the population standard deviation is then the variance would be
and as we can see is lower than the standard deviation
To find the missing angle first we need to fill in the other angles.
If we look at the 128 its on a straight line that is separated by another straight line so to get the angle on the other side of the line we need to subtract 128 from 180 which is 52.
The same goes for 160 so 180-160 = 20
And again the same for 60 so 180-60 = 120
So now that we have 2 out of 3 angles in the triangle we can figure out the final one by subtracting 120 and 20 from 180 (because theres 180 degrees in a triangle) which equals 40
Now if we look at the 40 degrees the other side is its opposite which makes it the same degree, and now we once again have 2 out of the 3 angles in a triangle so go to the triangle with 52 degrees and 40 degrees and subtract them from 180 which would be 88 degrees.
Now we subtract 88 from 180 to get the missing angle that we need (because its on another straight line thats been separated by another straight line) which equals 92
So the answer to your question is 92 degrees
If we look at the 128 its on a straight line that is separated by another straight line so to get the angle on the other side of the line we need to subtract 128 from 180 which is 52.
The same goes for 160 so 180-160 = 20
And again the same for 60 so 180-60 = 120
So now that we have 2 out of 3 angles in the triangle we can figure out the final one by subtracting 120 and 20 from 180 (because theres 180 degrees in a triangle) which equals 40
Now if we look at the 40 degrees the other side is its opposite which makes it the same degree, and now we once again have 2 out of the 3 angles in a triangle so go to the triangle with 52 degrees and 40 degrees and subtract them from 180 which would be 88 degrees.
Now we subtract 88 from 180 to get the missing angle that we need (because its on another straight line thats been separated by another straight line) which equals 92
So the answer to your question is 92 degrees
The maximum height and horizontal distance is required.
Maximum height 8 feet; horizontal distance 16 feet
The given path is
If the skateboarder jumps at x = 0 she will land at y = 0. However there will be at horizontal displacement.
or
The distance between -5 and 11 is
Middle point would be from
.
So,
The maximum height will be
The maximum height is 8 feet and the horizontal distance is 16 feet.
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