Which function has an inverse that is also a function? y = 3 2 - 5 3 y = 322 y= x - y = 322 – 5x + 3
1 answer:
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Answer:
y = (5/2)x + 6
Step-by-step explanation:
The given line has a slope (coefficient of x) of -2/5. The perpendicular line will have a slope that is the negative reciprocal of this:
-1/(-2/5) = 5/2
Since you are given a point you want the line to go through, the point-slope form of the equation of the line is useful. That form for slope m and point (h, k) is ...
y = m(x -h) +k
For your slope m=5/2 and point (h, k) = (-2, 1), the equation of the line is ...
y = 5/2(x +2) +1
y = 5/2x +6 . . . . . eliminate parentheses
Answer:
Null Hypothesis, :
= 2.0 units or
= 2.0 units
Alternate Hypothesis, :
2.0 units or
2.0 units
Step-by-step explanation:
We are given the following data below and we have test if the population represented by Sample 1 has a mean that is 2.0 units higher than the population represented by Sample 2;
Pair : 1 2 3 4 5 6 7
Sample1 : 5 6 10 3 6 7 8
Sample2 : 4 4 3 5 5 5 3
Let = population mean represented by Sample 1
= population mean represented by Sample 2
= population mean matched-pair differences for Sample 1 - Sample 2
So, Null Hypothesis, :
= 2.0 units or
= 2.0 units
Alternate Hypothesis, :
2.0 units or
2.0 units
Here null hypothesis states that the population represented by Sample 1 has a mean that is 2.0 units higher than the population represented by Sample 2.
On the other hand, alternate hypothesis states that the population represented by Sample 1 has a mean that is not 2.0 units higher than the population represented by Sample 2.