Answer:
56 and 43
Step-by-step explanation:
(x+13)+x = 99
2x+13 = 99
2x = 99-13
2x = 86
x = 86/2
x = 43
Smaller number = 43
Larger number is 56
Check
56-43 = 13
56+43 = 99
Notice that
(1 - <em>x</em>)⁵ (1 + 1/<em>x</em>)⁵ = ((1 - <em>x</em>) (1 + 1/<em>x</em>))⁵ = (1 - <em>x</em> + 1/<em>x</em> - 1)⁵ = (1/<em>x</em> - <em>x</em>)⁵
Recall the binomial theorem:
Let <em>a</em> = 1/<em>x</em>, <em>b</em> = -<em>x</em>, and <em>n</em> = 5. Then
We get an <em>x</em> ³ term for
2<em>k</em> - 5 = 3 ==> 2<em>k</em> = 8 ==> <em>k</em> = 4
so that the coefficient would be
Answer:
i think b is the right answer
Step-by-step explanation:
A = 236,000 (1+ 0.04)^9
335,902 people in 2009
Answer:
The minimum sample size is 1867 observations.
Step-by-step explanation:
We need to construct an 85% confidence interval that has an error less than 0.06. It means that the difference between the upper limit (UL) and the lower limit (LL) has to be 0.06.
The only variable we can adjust is the number of observations (n)
For a 85% confidence interval, the z-score is 1.440.
The estimated variance (s^2) is 0.81.
The error e is 0.06.
The sample has to be at least of 1867 observations.