Answer:
1) (-6,-9)
times the top equation buy -4 so you cancel out the y
so it be -8x+4y=12 no cancel out the y's
so it be -8x=12 and 5x=6
now combined like terms to get -3x= 36
x = -6 now go plug that back in one of the equations to get y
y = -9
2) (-2,-5)
now on this one you going to substitute y= (2x-1) for y in the otheir eqaution
so it look like 3x-(2x-1)=-1
do your combining of like terms and your division & you get x = -2
now plug x in to y=2x-1 to get y = -5
The new mean and standard deviation is 26 and 15, when each score in data set is multiplied by 5 and then 7 is added.
According to the question,
Original mean is 10 and original standard deviation is 5 . In order to find to new mean and standard deviation when each score in data set is multiplied by 5 and then 7 is added.
First "change of scale" when every score in a data set is multiplied by a constant, its mean and standard deviation is multiplied by a same constant.
Mean: 10*3 = 30
Standard deviation: 5*3 = 15
Secondly "change of origin" when every score in a data set by a constant, its mean get added or subtracted by the same constant and standard deviation remains constant.
Applying change of origin in the above mean and standard deviation
Mean: 30 - 4 = 26
Standard deviation: Remains same = 15
Hence, the new mean and standard deviation is 26 and 15, when each score in data set is multiplied by 5 and then 7 is added.
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Answer:
Step-by-step explanation:
The point-slope form of an equation of a line:
We have two points (-6, 5) and (8, 14).
Substitute:
Thew standard form of an equation of a line:
transform:
-12x - 0.4 > 0.2(36.5x + 80) - 55 Remove the brackets.
-12x - 0.4 > 7.3x + 16 - 55 Combine the like terms on the right
-12x - 0.4 > 7.3x - 39 Add 12x to both sides
- 0.4 > 7.3x + 12x - 39
- 0.4 > 19.3x - 39 Add 39 to both sides.
-0.4 + 39 > 19.3x Combine like terms on the left
38.6 > 19.3x Divide by 19.3
38.6 / 19.3 > x
2 > x
