Answer:
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Step-by-step explanation:
Given
---x = 0, in 2012
-- x = 5, in 2017
Required
Select all possible equations
Because there is a reduction in the population, as time increases; the rate must be less than 1.
An exponential function is represented as:

Where

rate > 1 in options (a) and (b) i.e. 1.03
This implies that (a) and (b) cannot be true
For option (c), we have:

Set x = 0

Set x = 5

<em>This is true because the calculated values of f(0) and f(5) correspond to the given values</em>
For option (d), we have:

Set x = 0

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>
For option (e), we have:

Set x = 0
undefined
<em>This is false because the f(x) is not undefined at x = 0</em>
For option (f), we have:

Set x = 0

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>
<em>From the computations above, only (c) </em>
<em> is true</em>
First factor (x square -36), the answer will be (x+6)(x-6).
Second, cancel the x .
6x/ (x+6)(x-6)
4x/(6)(-6)
4x/-36
Answer:
18.25
Step-by-step explanation:
1/4 = 0.25
2 3/4 divided by 1/4
is
2 3/4 multiplied by 4/1
which is (2+3/4)*4 = 2*4 + 3/4*4 = 8+3 =<em>11</em>
Answer:
The minimum sample size required to ensure that the estimate has an error of at most 0.14 at the 95% level of confidence is n=567.
Step-by-step explanation:
We have to calculate the minimum sample size n needed to have a margin of error below 0.14.
The critical value of z for a 95% confidence interval is z=1.96.
To do that, we use the margin of error formula in function of n:

The minimum sample size to have this margin of error is n = 567.