Simplifying
2y + 5x + -1z = 4y + 6x
Reorder the terms:
5x + 2y + -1z = 4y + 6x
Reorder the terms:
5x + 2y + -1z = 6x + 4y
Solving
5x + 2y + -1z = 6x + 4y
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
5x + 2y + -6x + -1z = 6x + -6x + 4y
Reorder the terms:
5x + -6x + 2y + -1z = 6x + -6x + 4y
Combine like terms: 5x + -6x = -1x
-1x + 2y + -1z = 6x + -6x + 4y
Combine like terms: 6x + -6x = 0
-1x + 2y + -1z = 0 + 4y
-1x + 2y + -1z = 4y
Add '-2y' to each side of the equation.
-1x + 2y + -2y + -1z = 4y + -2y
Combine like terms: 2y + -2y = 0
-1x + 0 + -1z = 4y + -2y
-1x + -1z = 4y + -2y
Combine like terms: 4y + -2y = 2y
-1x + -1z = 2y
Add 'z' to each side of the equation.
-1x + -1z + z = 2y + z
Combine like terms: -1z + z = 0
-1x + 0 = 2y + z
-1x = 2y + z
Divide each side by '-1'.
x = -2y + -1z
Simplifying
x = -2y + -1z
1.) 2a - 4b + 3ab -5a + 2b
= 3ab -3a -2b
2.) 4(2x+1)-3x
= 8x+4 -3x
= 5x + 4
3.) 4(p-5) +3(p+1)
= 4p-20 + 3p+3
= 7p -17
4.) 6(p+3q) - (7 + 4q)
= 6p+18q -7 -4q
= 6p + 14q -7
5.) 4rs -2s -3(rs +1) -2s
= 4rs -4s -3rs -3
= rs -4s - 3
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Using the z-distribution, it is found that the p-value is of 1.
At the null hypothesis, it is tested <u>that the majority is not against the death penalty</u>, that is:
At the alternative hypothesis, it is <u>tested that the majority is against the death penalty</u>, that is:
The test statistic is given by:
In which:
is the sample proportion.
- p is the proportion tested at the null hypothesis.
In this problem, the parameters are: 
.
Then, the value of the <em>test statistic</em> is:
Using a z-distribution calculator, for a <u>right-tailed test</u>, as we are testing if the proportion is greater than a value, the p-value is of 1.
A similar problem is given at brainly.com/question/16313918
Answer:
μ = 0.169
ME = 0.051
Step-by-step explanation:
The confidence interval is:
CI = μ ± ME
So the mean is the middle of the confidence interval, and the margin of error is half the difference.
μ = (0.118 + 0.220) / 2 = 0.169
ME = (0.220 − 0.118) / 2 = 0.051
