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>
Answer:
Step-by-step explanation:
Ok, so we have to help your pupil (lets call her Jane) figure out "why researchers should use a random sample to conduct a survey". So, i will list all of the choices.
- A random sample is likely to avoid bias
- In a random sample some members of the population are more likely to be selected than others
- Random samples provide consistency and systematically favor one choice over every other choice in each survey question
- Random sampling will provide a more representative sample of population
- Researchers can use a random sample to draw conclusions about the population
Random sampling is used to get the best average, and not favor any one opinion. For example, if you were trying to figure out the daily spending budget of people, you wouldn't just go to the upper clas part with all the rich people, you would survey from all over the town to get results from all kinds of people. So, the answers are:
- A random sample is likely to avoid bias (because thats exactly what they do)
- Random sampling will provide a more representative sample of population (because they are designed to do that)
- Researchers can use a random sample to draw conclusions about the population (thats why they take the samples)
Hope this helps
Answer:
Below in bold.
Step-by-step explanation:
Area = 30 + 12x and area is also = to width * length so we need to look for factors of 30 + 12x.
30 + 12x = 6(5 + 2x)
So 6 and 5 + 2x is one possible answer.
3 and 10 + 4x is another.
12 and 2.5 + x is another.
If we multiply these pairs together we see that the result is
30 + 12x in each case.