4125 x 10 to the 3rd power
2 answers:
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Answer:
The sample size required is 910.
Step-by-step explanation:
The confidence interval for population proportion is:
The margin of error is:
Given:
The critical value of <em>z</em> for 90% confidence level is:
*Use a standard normal table.
Compute the sample size required as follows:
Thus, the sample size required is 910.
First we assume that this is equal to zero
so what we notice is this is a sum of 2 perfect cube
recall that
a^3+b^3=(a+b)(a^2-ab+b^2)
125x^3+343=
(5x)³+(7)³=(5x+7)(25x²-35x+49)
now solve the part in second parenthasees because we can see that the first parenthasees (5x+7) is going to have a real root
remember quadratic formula
for ax^2+bx+c=0
x=
a=25
b=-35
c=49
x=
x=
x=
x=
x=
x=
x=
the comlex roots are
x=
and 
so what we notice is this is a sum of 2 perfect cube
recall that
a^3+b^3=(a+b)(a^2-ab+b^2)
125x^3+343=
(5x)³+(7)³=(5x+7)(25x²-35x+49)
now solve the part in second parenthasees because we can see that the first parenthasees (5x+7) is going to have a real root
remember quadratic formula
for ax^2+bx+c=0
x=
a=25
b=-35
c=49
x=
x=
x=
x=
x=
x=
x=
the comlex roots are
x=