Yes at 0.05 significance level we can conclude that mean income of those selecting plan B is bigger.
Given mean yearly income for sample of 40 subscribers is $57000 with standard deviation of $9200, mean yearly income for sample of 30 subscribers with standard deviation of $7100.
First we have been given significance level (α) of 0.05. So (1-α)=1-0.05=0.95 and we have to find Z score for this significance level. (1+0.95)/2=0.425
Z=1.44
Now we have to calculate margin of error which will be calculated as under:
=
=1.44*9200/6.32
=1869.10
=
=1.44*7100/3.47=2096.2
We know that margin of error shows the difference between real and calculated values. So if we increase mean of both plans by margin of error of respective plans then mean of plan A becomes=57000+1869.10=58869.10 and mean of plan B becomes =61000+2096.2=630622.2. We can clearly notice that mean of plan B is greater.
Hence it is reasonable to say that the mean of plan B is greater at the significance level of 0.05.
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Answer:
asymptotes: x = ±6
zero: x = 0
Step-by-step explanation:
The vertical asymptotes of the function will be at the values of x where the denominator is zero. The denominator is x^2 -36, so has zeros for values of x that satisfy ...
x^2 -36 = 0
x^2 = 36
x = ±√36 = ±6
The vertical asymptotes of the function are x = -6 and x = +6.
__
The zero of the function is at the value of x that makes the numerator zero. This will be the value of x that satisfies ...
6x = 0
x = 0 . . . . . divide by 6
The zero of the function is x=0.
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As a check on this work, we have had a graphing calculator graph the function and identify the zero.
We know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=−1/4x²<span>−x+3
where
a=-1/4
b=-1
c=3
</span><span> the coordinates of the focus are
</span>
(-b/2a,(1-D)/4a)
where
D is the discriminant b²-4ac
D=(-1)²-4*(-1/4)*3-----> D=1+3---> D=4
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> -2
y coordinate of the focus
(1-D)/4a------> (1-4)/(-4/4)---> 3
the coordinates of the focus are
(-2,3)
Step-by-step explanation:
9x - 3y = 18
Solve for y:
1. 3y= 9x + 18
2. y= 3x + 6 (This is the equation you will graph)
To graph:
Make a table for y = 3x +6.
If x =0, y=6
If x =1, y=9
If x =-1, y=3
You could get as many points as you like, however you need at least TWO, to be able to draw the line.
Coterminal angles are different angles that have the same terminal side.
A positive angle has one turn more around so it has a measure of 100°+360° = 460°.
A negative angle will have a measure that is represented in clockwise rotation and be equal to 100° - 360° = -260°.
We can sketch an angle of measure 100°, a positive coterminal angle and a negative coterminal angle as:
