So we have the system of equations:

equation (1)

equation (2)
To use substitution, we are going to solve for one variable in one of our equations, and then we are going to replace that value in the other equation:
Solving for

in equation (2):



equation (3)
Replacing equation (3) in equation (1):






equation (4)
Replacing equation (4) in equation (3):



We can conclude that the solution of our system of equations is <span>
(7/5, 21/10)</span>
Answer:
Step-by-step explanation:
Answer:

Step-by-step explanation:
The radical
can be simplified by breaking it down into factors and removing the perfect squares from inside the radical.

25 is a perfect square and is 5 outside the radical.
is a perfect square and is x outside the radical.
is a perfect square and is
outside the radical.
Answer:
Actually, you have the correct answer. I think you are confused as to what the exact answer might be.
The probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328
<h3>How to determine the probability?</h3>
The given parameters are:
- Sample size, n = 100
- Population proportion, p = 82%
Start by calculating the mean:



Calculate the standard deviation:



Within ± 0.02 of the population proportion are:


Calculate the z-scores at these points using:

So, we have:


The probability is then represented as:
P(x ± 0.02) = P(-0.43 < z < 0.43)
Using the z table of probabilities, we have:
P(x ± 0.02) = 0.3328
Hence, the probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328
Read more about probability at:
brainly.com/question/25870256
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