Which table represents a linear function? A. x 1 2 3 4 y 3 6 12 24 B. x 1 2 3 4 y 2 5 9 14 C. x 1 2 3 4 y -3 -5 -7 -9 D. x 1 2 3
4 y -2 -4 -2 0
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help please (:
1 answer:
Table C.
Step-by-step explanation:
Test the values of x with corresponding values of y by plotting the values as coordinates on a graph tool to determine the linear function.
You notice that in option C, the values produce a linear graph with a negative slope.
Check the slope of the linear graph using the formula ;
m=rise/run
m=change in y values/change in x values
m=Δy/Δx
Taking points (1,-3), and (2,-5)
Δy=-5--3=-5+3=-2
Δx=2-1=1
m=-2/1 =-2
The equation of the linear graph will thus be;
(1,-3) , (x,y)
m=Δy/Δx
-2 = y--3/x-1
-2(x-1) =y+3
-2x+2=y+3
-2x=y+3-2
-2x=y+1
⇒ y=-2x-1
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Linear functions : brainly.com/question/9994201
Keywords : Table, linear function
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Answer:
The 90% confidence interval for the mean usage of electricity is between 17.4 kwH and 17.6 kwH
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of
So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
So
The lower end of the interval is the mean subtracted by M. So 17.5 - 0.14 = 17.4 kwH
The upper end of the interval is M added to the mean. So 17.5 + 0.14 = 17.6 kwH
The 90% confidence interval for the mean usage of electricity is between 17.4 kwH and 17.6 kwH
Answer:
Option A
Step-by-step explanation:
where,
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if the initial value
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