The bird population on an island is declining at a rate of 2.2% per year. If the population was 3500 in the year 2009, which is
2 answers:
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Answer:
The linear equation that gives the rule for this table will be:
- y=x+25
Step-by-step explanation:
Taking two points from the table
- (2, 27)
- (3, 28)
Finding the slope between two points
We know the slope-intercept form of linear equation is
where m is the slope and b is the y-intercept
substituting the point (2, 27) and m=1 in the slope-intercept form to determine the y-intercept 'b'
27 = 1(2)+b
27-2 = b
b = 25
Now, substituting m=1 and b=25 in the slope-intercept form to determine the linear equation
y=mx+b
y=1(x)+25
y=x+25
Thus, the linear equation that gives the rule for this table will be:
- y=x+25
Both of these conditions must be true in order for the assumption that the binomial distribution is approximately normal. In other words, if and
then we can use a normal distribution to get a good estimate of the binomial distribution. If either np or nq is smaller than 5, then a normal distribution wouldn't be a good model to use.
side note: q = 1-p is the complement of probability p