1-x-5x=8x-5 Show your work
2 answers:
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Answer:
Step-by-step explanation:
Hello!
You are asked to test the difference of the population means of the opinion of men and women over a constitutional amendment to ban burning the national flag.
Population 1 (women)
Sample n₁= 400
X[bar]₁= 80.6
Population 2 (men)
n₂= 586
X[bar]₂= 77.6
σ₁= σ₂ = σ =3.5
To test whether there is a difference between the opinion of people about the amendment regarding their gender the hypothesis is:
H₀: μ₁ - μ₂ = 0
H₁: μ₁ - μ₂ ≠ 0
α: 0.05
The statistic to use is a pooled Z:
Z=<u> (X[bar]₁ - X[bar]₂) - (μ₁ - μ₂) </u> ~N (0;1)
σ*√(1/n₁ + 1/n₂)
The critical region for this hypothesis is two tailed:
Z=<u> (X[bar]₁ - X[bar]₂) - (μ₁ - μ₂) </u> = <u> (80.6-77.6) - 0 </u> = 13.215
σ*√(1/n₁ + 1/n₂) 3.5√(1/400 + 1/586)
Since the calculated Z-value is greater than the right critical value -81.96) the decision is to reject the null hypothesis. There is significant evidence to conclude that there is no difference between the population means of the opinion about the constitutional amendment to ban the burning of the national flag of women and men.
I hope it helps!
Answer:
<h2>a₈ = 1</h2>Step-by-step explanation:
The slope of an horizontal line is always zero.
This comes from the fact that the slope is given by:
and if two points lie on a horizontal line this means that their y components are equals and then the numerator is zero.
Therefore the slope is zero.