The normal rule to remember is 68-95-99.7, i.e. plus or minus three sigma corresponds to 99.7% of the probability. That leaves 0.3% in the two tails, or 0.15% in the tail above 3 sigma.
Answer: 0.15%
The answer is 135 and 45.
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The percent increase of the second year was 85.71%
Step-by-step explanation:
The exponential growth formula is y=a(1+r)^x
where;
y=population after x years
a=original population
r=growth rate as a decimal
x=number of time interval that have passed
Let starting population be p
The first year increase in the population was 40% this means;
r=0.4 , x=1 and a=p thus the equation will be
y=p(1+0.4)^1 ⇒⇒y=1.4 p
In the second year the population of birds of an island became 7 times more than before which is 7p
7p= 7*1.4p= 9.8p
Increase will be;
9.8p-1.4p=8.4
% increase will be;
8.4/9.8 *100 =85.71%
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Percent increase: brainly.com/question/13882170
Keywords : population, birds, island,increase
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Answer: The slope is -8/3
Step-by-step explanation: Use the slope formula y2-y1/x2-x1
so -9-7/2-(-4) = -16/6 which can be divided by 2 to get -8/3
Answer:

Step-by-step explanation:
<u>Graphs</u>
The graph shows the amount of water in gallons as a function of time in seconds.
We are required to find the amount of water in the bucked after 1 second. Since the graph does not show an exact location for t=1, we must find the equation of the line.
Two points are clear on the graph: (0,0) (12,5). This gives us the necessary information to find the equation of the line, which has the form:

Where w is the amount of water in the bucket, t is the time, and m and b are two constants to be determined.
Using the point (0,0):

It follows that b=0
The equation now takes the form:

Using the point (12,5):

We find m:

The final equation is:

Substituting t=1:

The bucket has 5/12 gallons of water at t=1 second. Expressing the answer as an ordered pair:
