Use two points on the graph to find the slope of the line.
1 answer:
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The solution of the system of equation is (-7, -2).
<h2>Given</h2>The system of the equations;
From equation 1
Substitute the value of y in equation 1
The value of x= 2 is rejected because x = 2 not satisfy the equation.
Substitute 2 for the value of x in equation II
y − x = 5
y – 2 = 5
y = 5 +2
y = 7 (x =2, y =7) … Not included in the options
If x = -7
Substitute the value of x = -7 in the equation
Hence, the solution of the system of equation is (-7, -2).
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Answer:
<em>Test statistic </em>
<em> </em>
t = <em>1.076</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given Mean of the Population (μ) = 8.0
<em>Mean of the sample (x⁻) = 8.25</em>
Given data
8,9,9,8,8,9,8,7
Given sample size n= 8
Given sample standard deviation(S) = 0.661
<u><em>Step(ii):-</em></u>
<em>Null hypothesis : H: (μ) = 8.0</em>
<em>Alternative Hypothesis :H:(μ) > 8.0</em>
<em>Degrees of freedom = n-1 = 8-1=7</em>
<em>Test statistic </em>
<em> </em><em></em>
<em> </em><em></em>
<em> t = 1.076</em>
<em>Critical value </em>
<em> t₍₇,₀.₀₅₎ = 2.3646</em>
<em>The calculated value t = 1.076 < 2.3646 at 0.05 level of significance</em>
<em>Null hypothesis is accepted</em>
<em>Test the hypothesis that the true mean quiz score is 8.0 against the alternative that it is not greater than 8.0</em>
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