Answer:
Population in 2013 is 132.76 ≈ 133 million.
Step-by-step explanation:
A country's population in 1990 was 123 million
In 2002 it was 128 million.
We have to calculate the population in 2013.
Since population growth is always represented by exponential function.
It is represented by
Here t is time in years, k is the growth constant, and is initial population.
For year 1990 ⇒
128 = =
taking ln on both the sides ⇒
ln
ln 128 - ln 123 = 12k [since ln e = 1 ]
4.852 - 4.81218 = 12 k
k =
For year 2013 ⇒
= 123 ×
= 123 × 1.07937
= 132.76 rounded to 133 million.
Therefore, population in 2013 is 132.76 ≈ 133 million.
Answer:
english plz !!!!!!!!!!
Step-by-step explanation:
Answer:
The 90% confidence interval for the percentage of votes that the incumbent has received in this election is (0.499, 0.581).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
For this problem, we have that:
90% confidence level
So , z is the value of Z that has a pvalue of , so .
The lower limit of this interval is:
The upper limit of this interval is:
The 90% confidence interval for the percentage of votes that the incumbent has received in this election is (0.499, 0.581).
X^2 + 10x + 11 = 0
x^2 + 10x = -11
x^2 + 10x + 25 = -11 + 25
(x + 5)^2 = 14 <===
x + 5 = (+-) sqrt 14
x = -5 (+-) 3.74
x = -5 + 3.74 = -1.26 <== solution
x = -5 - 3.74 = - 8.74 <== solution