What is the correct solution to the equation 1 – (2x + 4) = –4x + 5?
2 answers:
You might be interested in
Answer:
<em>The calculated t- value = 1.11 > 2.89 at 0.025 level of significance</em>
<em>Null hypothesis is rejected </em>
<em>The engineer designed the valve such that it would produce a mean pressure is not equal to 5.4</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given mean of the Population (μ) = 5.4</em>
<em>Given sample size 'n' = 9</em>
<em>Mean of the sample (x⁻) = 5.7</em>
<em>Standard deviation of the sample (s) = 0.81</em>
<u><em>Step(ii):-</em></u>
<em>Null Hypothesis: H₀:</em> The engineer designed the valve such that it would produce a mean pressure of 5.4
H₀: μ = 5.4
<em>Alternative Hypothesis : H₁:</em> μ ≠ 5.4
Level of significance = 0.025
Test statistic
t = 1.11
<em>Degrees of freedom </em>
<em>ν = n-1 = 9-1 =8</em>
t₀.₀₁₅ , ₈ = 2.89
<em>The calculated t- value = 1.11 > 2.89 at 0.025 level of significance</em>
<em>Null hypothesis is rejected </em>
<em>The engineer designed the valve such that it would produce a mean pressure is not equal to 5.4</em>
<em></em>
<em />
Answer:
The equation of the line is y = -1.x + 9
Graph is provided in the attached figure
Step-by-step explanation:
The slope intercept equation of a line in 2D(x,y) coordinates is given by the equation
where m is the slope of the line and c the y-intercept i.e. where the line crosses the y axis at x = 0
Given slope = -1, we can find c and the equation of the line
Since (3,6) is a point on the graph, these coordinates must satisfy the above equation
Substitute for y = 6 and x = 3
In the attached figure you can see that (3,6) is on the line
