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1 answer:
<h3>Answer: (6, -1)</h3>
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Explanation:
If you were to multiply both sides of the second equation by 4, then,
The original system of equations is equivalent to this system
Let's subtract straight down.
- The x terms have the same coefficient (2) out front. This means when we subtract the x terms, they'll go away. 2x-2x = 0x = 0.
- Subtracting the y terms gets us: y-(-20y) = y+20y = 21y
- Subtracting the right hand sides gets us: 11-32 = -21
After those three sets of subtractions are performed, we have this new equation: and that solves to
(divide both sides by 21).
Now use this y value to find x. You can pick any equation with x & y in it.
The solution as an ordered pair is (x,y) = (6, -1)
The two lines cross at this location.
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Complete Question
A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of ±5% with 90% confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?
Round your answer up to the nearest integer.
sample size = _____
Answer:
The sample size is
Step-by-step explanation:
From the question we are told that
The margin of error is E = 5% = 0.05
Generally given that there was no prior knowledge about the proportion of who might support the law, we will assume the sample proportion to be
From the question we are told the confidence level is 90% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is
Generally the sample size is mathematically represented as
=>
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