Answer:
Therefore the variance on the data set is 8.3
Step-by-step explanation:
In order to find the variance of the set of data we first need to calculate the mean of the set, which is given by:
mean = sum of each element / number of elements
mean = (5 + 8 + 2 + 9 + 4)/5 = 5.6
We can now find the variance by applying the following formula:
So applying the data from the problem we have:
s² = [(5 - 5.6)² + (8 - 5.6)² + (2 - 5.6)² + (9 - 5.6)² + (4 - 5.6)²]/(5 - 1)
s² = [(-0.6)² + (2.4)² + (-3.6)² + (3.4)² + (-1.6)²]/4
s² = [0.36 + 5.76 + 12.96 + 11.56 + 2.56]/4 = 8.3
Therefore the variance on the data set is 8.3
Answer:
cost of producing the 501st item = $9.92
Step-by-step explanation:
The function representing the cost is given by;
C(x) = 10000 + 90x - 0.08x²
To get the cost of producing the 501st item, we have to first find the cost of producing 500 items and then do the same for 501 items then subtract the values gotten.
Thus;
C(500) = 10000 + 90(500) - 0.08(500)²
C(500) = 10000 + 45000 - 20000
C(500) = $35000
Similarly;
C(501) = 10000 + 90(501) - 0.08(501)²
C(501) = 10000 + 45090 - 20080.08
C(501) = $35009.92
cost of producing the 501st item = C(501) - C(500) = 35009.92 - 35000 = $9.92
B. -4 and C.-5
3x^2+27x+60=0 divide by 3
3(x^2+9x+20)=0 simplify
3(x+4)(x+5)=0
Use the 0 property and check your work.
The area of a circle is,
So pi times the radius squared.
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To find the radius we half to divide the diameter by 2 since the radius is half of the diameter.
The diameter is the line that passes through the the center of the circle going from one side of the circle to the other which is 4 in this case.
Half of 4 is 2 meaning 2 is our radius.
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Plug in the numbers and get,
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I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey
Answer:
87.5
Step-by-step explanation:
Anoosha multiplied 0.7 times 1250 incorrectly kinda daft from Anoosha tbf
