Answer:

And we have a sample size of n =81. We want to estimate the standard error of the sampling distribution
and for this case we know that the distribution is given by:

And the standard error would be:

And replacing we got:

Step-by-step explanation:
For this case we know the population deviation given by:

And we have a sample size of n =81. We want to estimate the standard error of the sampling distribution
and for this case we know that the distribution is given by:

And the standard error would be:

And replacing we got:

Answer:
<h2>Model B</h2>
Step-by-step explanation:
The model needs to show 1.8 because 2 x 0.9 = 1.8. Model B is the only model that shows this.
<em>Hope this helps</em>
Answer:
Congruent and isometries.
Step-by-step explanation:
Congruent meaning the shape is still the same size and shape
(which is true because translations and rotations don't change size or shape)
And isometries because it is one way of mapping points to a different location.
y = -13, 13
There are two answers because you are taking the square root of a number. If we go the other way, to check our work, (-13)^2 = 169 and (13)^2 = 169.
Hope this helps! :)
Answer:
<em>C. 3.8 years</em>
Step-by-step explanation:
<u>Exponential Growth
</u>
The natural growth of some magnitudes can be modeled by the equation:

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
The actual population of deer in a forest is Po=800 individuals. It's been predicted the population will grow at a rate of 20% per year (r=0.2).
We have enough information to write the exponential model:


It's required to find the number of years required for the population of deers to double, that is, P = 2*Po = 1600. We need to solve for t:

Dividing by 800:

Taking logarithms:

Dividing by log 1.2:

Calculating:
t = 3.8 years
Answer: C. 3.8 years