Step-by-step explanation:
perimeter of a rectangle = 2×length + 2×width = 28 ft
width = length - 2
length = width + 2
2×(width + 2) + 2×width = 28
2×width + 4 + 2×width = 28
4×width + 4 = 28
4×width = 24
width = 6 ft
and the length is width + 2 = 6+2 = 8 ft.
Answer:
30
Step-by-step explanation:
the value of x, bring the variable to the left side and bring all the remaining values to the right side
Answer:
5y+16
Step-by-step explanation:
see image below:)
Answer:
B
Step-by-step explanation:
y = 6x + 3 Step-by-step explanation:Givenx = {5, 6, 7, 8, 9}
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>
<em></em>