Answer:
C. populations are non normal and the sample sizes are large.
Step-by-step explanation:
To test hypotheses about the difference between two populations means we deal with the following three cases.
1) both the populations are normal with known standard deviations.
2)both the populations are normal with unknown standard deviations.
3) both the populations are non normal in which case both the sample sizes are necessarily large.
So option C is the correct answer.
Answer = 1/5 and 4
solved by middle term breaking
Use the FOIL method: First, Outside, Inside, Last
3x(2x) = 6x²
3x(-4) = -12x
3(2x) = 6x
3(-4) = -12
6x² -12x + 6x-12
Combine like terms
-12x + 6x = -6x
6x² - 6x - 12 is your answer
hope this helps
Answer:
the answer is C
Step-by-step explanation:
magazine = $4.99
book = $12.99
DVD = $17.99
total bill
= magazine + book + DVD
= $4.99 + $12.99 + 17.99
= $35.97
tax 6%
amount of tax
= 6% × total price
= 6/100 × $35.97
= $2.16
total bill including 6% tax
= total bill + amount of tax
= $35.97 + $2.16
= $38.13
Answer:
hence the required minimum production level is 12units
Step-by-step explanation:
Given the cost function expressed as c(x) = x^3 - 24x^2 + 30,000x
The average cost function will be c(x)/x
Dividing the cost function through by x
Average cost function = c(x)/x = x³/x - 24x²/x + 30,000x/x
Average cost function = x²-24x + 30,000
A(x) = x²-24x + 30,000
If the average cost is minimized, hence dA/dx = 0
dA/dx = 2x - 24
0 = 2x - 24
-2x = -24
Divide both sides by -2
-2x/-2 = -24/-2
x = 12
For the second deriviative
d²A/dx² = 2 which is greater than zero
Hence a production level that will minimize the average cost per item of making x items is 12
