A)
<h3>
The sample mean is 52</h3><h3>
The claimed population mean is 44</h3>
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The sample mean is the mean found in the survey (of the sample of people). The sample mean is found by adding up the values and dividing by the sample size n. The larger n gets, the closer the sample mean should get to the population mean. This is assuming the sample is random and representative of the population.
The population mean is a claim made by another study/survey/etc. Usually generalized statements such as "Americans spent an average of X dollars (in year Y)" would have X be considered the population mean.
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B)
<h3>Sample mean is 3.42</h3><h3>Claimed population mean is 3.56</h3>
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Same idea as part A, but we're using different numbers and a different problem context.
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Note: The year numbers and the sample sizes are not used to answer any of the four questions above.
Given:
Volume of a rectangular prism is:
Dimensions of the rectangular prism are:
To find:
The height of the rectangular prism.
Solution:
The volume of a rectangular prism is:
After substituting the values, we get
Therefore, the correct option is C.
<h2>
Answer:</h2>
<u>First, Arrange the data in ascending order</u>
=> 18, 20, [21], 22, 23.
<u>Now, Find the middle term i.e, 21.</u>
<u>Hence, Median of the given data is 21</u>.
Area of the triangle = (1/2)*base*height
base = x
height = altitude = x+6
Area of the triangle = (1/2)*x*(x+6) = 108
(1/2)*x*(x+6) = 108
x²+6x-216 =0
(x+18)(x-12)=0
x=-18, or x=12
We can use only positive value, so x=12.
Base =12 cm.
