Using the concept of standard deviation, it is found that the standard deviation of the data-set will remain the same.
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- The mean of a data-set is given by the <u>sum of it's observations, divided by the number of observations</u>.
- The standard deviation is given by the <u>square root of the sum of the differences squared of each observation and the mean, divided by the one less than the number of values</u>.
- If all observations are increased by a value x, the mean will also increase by x.
- In the standard deviation, at the sum of the differences squared of each observation and the mean, each observation is increased by x, as is the mean, thus, the sum stays the same, while the standard deviation also stays the same.
A similar problem is given at brainly.com/question/18342323
The answer would be 3mph because 3/4 / 1/4 = 3. So the answer would be 3mph.
Answer:
90000
Step-by-step explanation:
because 10^4 = 10,000
then 9 x 10,000 = 90,000
40% because it’s 9 purple so it’s accurate to choose that color
First I'd suggest plotting the points on a graph so that you can visualize the problem. What you're trying to find is the area of the triangle that the three points given will form. The area of a triangle is
![\frac{1}{2} bh](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20bh)
where b is the size of the base of the triangle and h is the height of the triangle. From graphing the three points and connecting them, you can see that the base of the right triangle formed is 4 units/gridlines and the height of the right triangle is 7 units/gridlines. SInce the problem specifies that each gridline is 2 feet, that means that the base 4 x 2 = 8 feet, and the height is 7 x 2 = 14 feet. Now you just plug these values into the equation for the area of a triangle to get
![\frac{1}{2} (8)(14)=56](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%288%29%2814%29%3D56)
feet squared as the area that will be covered in gravel.