Solve the following system by graphing. What is the solution? y=-4x-2 y=2x+4
1 answer:
Answer:
The answer to your question is (-1, 2)
Step-by-step explanation:
Data
y = -4x - 2 Equation l
y = 2x + 4 Equation ll
Process
-Graph equation l (green line)
Plot the point (0, -2)
Starting from this point plot the point (1, -4), this point comes from the slope.
-Graph the equation ll (blue line)
Plot the point (0, 4)
Plot the point (1, 2) starting from the previous point.
-The solution is the point where the lines cross. This point is (-1, 2)
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Answer: b. Yes
Step-by-step explanation: Confidence Interval for a population proportion is calculated as:
p ±
where
p is the sample proportion
n is sample size
z is z-score, in this case, as it is 95%, z-score=1.96
Calculating confidence interval:
p = 0.3248
0.3248 ±
0.3248 ±
0.3248 ± 0.0425
Interval: 0.2823 < μ < 0.3673
The interval means we are 95% sure the true mean is between 0.2823 and 0.3673. As the campaign claims a proportion of no more than 0.32 of the voters wants to see Mayor Waffleskate defeated and the number is in the confidence interval, the claim is supported.