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
Answer:
<u>1</u><u> </u><u> </u><u> </u><u>x</u><u> </u><u> </u>( a + b ) × h
2
<u>1</u><u> </u>x ( 9× + 4 + 12× -2) x h
2
<u>1</u> x ( 13× + 10× ) × h 7x + 8= 15× a squared + b squared is equals to c squared
2 10 x + × = 15×
<u>1</u><u> </u>x ( 23x ) x h 100× + × = 225
2 x = 225 - 100
x = 125
x = 11.1803398875
x = 11.2
11.5 x h
11.5 x 11.2
= <u>128</u><u>.</u><u>8</u> height is 11.2
Step-by-step explanation:
Formula for trapezium half multiplied by the top and the bottom multipliedby height. As u constantly glance at the
question we dont know the height .adjacent plus opposite gives u hypotenuse .
Answer:
C
Step-by-step explanation:
Rather than picking, let's try to construct one from the description.
reflected over the x axis means -![\sqrt{x}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D)
the vertex is usually at (0,0), now how do we move a graph? or in other words translating it.
To move left and right you use
where if you subtract h you move right and if you add h you move left. we go from (0,0) to (-4,2). so 0 to -4 is 4 left, so that means we add 4.
To move up and down we use
Here if v is positive you move up and if v is negative you move down. going from (0,0) to (-4,2) it moves up 2
So now we put them all together
And if you look, C matches that exactly.
Answer:
B. 63
Step-by-step explanation:
There are two similar triangles given in the diagram above. Since they area similar, they also have corresponding side lengths that are proportional.
Therefore:
(6 + 3)/3 = x/21
9/3 = x/21
3 = x/21
Cross multiply
21*3 = x
63 = x
x = 63