Calculating the relative frequencies from the data given in the table. Choose all that correctly describe an association between
favorite subject and grade.
A higher percentage of 8th graders than 7th graders prefer History.
A higher percentage of 7th graders than 8th graders prefer English.
A higher percentage of 8th graders than 7th graders prefer Math/Science.
A higher percentage of 8th graders than 7th graders prefer History.
A higher percentage of 7th graders than 8th graders prefer English.
A higher percentage of 8th graders than 7th graders prefer Math/Science.
1 answer:
The statement second a higher percentage of 7th graders than 8th graders prefer English and statement third a higher percentage of 8th graders than 7th graders prefer Math/Science are correct.
<h3>What is a conditional relative frequency?</h3>It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.
We can find conditional relative frequency as:
For first cell:
= 38/116
= 0.327
= 32.75% (refer attached picture)
Similarly, we can find for other cells.
A higher percentage of 7th graders than 8th graders prefer English and History, while a higher percentage of 8th graders than 7th graders prefer Math/Science.
Thus, the statement second a higher percentage of 7th graders than 8th graders prefer English and statement third a higher percentage of 8th graders than 7th graders prefer Math/Science are correct.
Learn more about the conditional relative frequency here:
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Answer:
18 children
Step-by-step explanation:
Given
<em>Required (missing part of the question):</em>
<em>Number of children that will be able to go to the zoo if 8 adult tickets are purchased</em>
<em>The graph is missing. However, the question can be solved without the graph.</em>
<em />
From the question and equation, we can deduce the following:
- x represents adults
- y represents children
So, when 8 adult tickets were sold.
This means
Substitute 8 for x in
Subtract 96 from both sides
Solve for y
<em>This means that 18 children will be able to go</em>
In both cases,
(as a consequence of the interesecting secant-tangent theorem)
So we have
10.
(omit the negative solution because that would make at least one of AB or AD have negative length)
11.
(again, omit the solutions that would give a negative length for either AB or AD)