Write 3.764x10^-5 in standard notation.
1 answer:
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Answer:
The <em>p</em>-value is 0.809.
Step-by-step explanation:
In this case we need to perform a significance test for the standard deviation.
The hypothesis is defined as follows:
<em>H</em>₀: <em>σ</em>₀ = 4 vs. <em>Hₐ</em>: <em>σ</em>₀ ≤ 4
The information provided is:
<em>n</em> = 9
<em>s</em> = 3
Compute the Chi-square test statistic as follows:
The test statistic value is 4.5.
The degrees of freedom is:
df = n - 1
= 9 - 1
= 8
Compute the <em>p</em>-value as follows:
*Use a Chi-square table.
Thus, the <em>p</em>-value is 0.809.
Answer: 879.20 km²
<u>Step-by-step explanation:</u>
The diameter of the big circle is 2(10) + 18 = 38
divide the diameter by 2 to get the radius (r) = 19
Area (A) = π·r²
= π(19)²
= 361π
The diameter of the small circle is 18
divide the diameter by 2 to get the radius (r) = 9
Area (A) = π·r²
= π(9)²
= 81π
The area of the shaded region is the difference between the big circle and the small circle.
= 361π - 81π
= 280π
= 280(3.14)
= 879.20