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Answer:
The standard deviation of the new data will be increased as compared to the previous standard deviation of the data.
Step-by-step explanation:
The prices are given to be : 59, 60, 65, 99, 175
Standard deviation = $49
Now, if we add or subtract any constant value to each of the terms then the standard deviation remains unchanged.
But, we add a new price in the given data that is $450
Hence, Standard deviation is calculated to be 139.5
Therefore, the standard deviation of the new data will be increased as compared to the previous standard deviation of the data.
Answer:
<em>The area of the triangle DEF is 10.</em>
Step-by-step explanation:
<u>Area of a Triangle:</u>
A triangle of base B and height H (both must be perpendicular) has an area of:
The image below shows the triangle formed by the points DEF. It's important to notice the points E and F lie on the same horizontal line because they both have the same y-coordinate.
This fact simplifies the calculations since we can easily compute the length the of base as the difference of their x-coordinates:
B=3-(-2)=3+2=5
Being the base of a horizontal line, the height of the triangle can be calculated as the difference of y-coordinates of D and the height of that line.
H=2-(-2)=4
With these two values, we calculate the area:
The area of the triangle DEF is 10.
Answer:
<em>{ - 2 , 8 } </em>
Step-by-step explanation:
( x² - 6x ) = 2
4² = ( x² - 6x )
x² - 6x - 16 = 0
- 6 = - 8 + 2
- 16 = - 8 * 2
( x - 8 )( x + 2 ) = 0 ⇒ = - 2 ,
= 8
<em>{ - 2 , 8 }</em>
