To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to th
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Answer:
The answer is 9.4 cm.
Step-by-step explanation:
To solve for the circumference of the circle, use the circumference formula, which is C = 2
.
Next, in the problem, the circle has a diameter measure but no radius measure. To find the radius of this circle, divide the diameter (3 cm) by 2, and it will equal 1.5 cm. The radius is being divided by 2 because the radius of any circle is equal to half the diameter of the circle.
Then, plug in the information given from the problem into the formula, and the formula will look like C = (2) () (1.5 cm).
Finally, solve the equation, and the answer is 9.4 cm.
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.