Answer:
The sample size for the data set = 56
Step-by-step explanation:
The sample size or number of individuals (n) is gotten from a histogram by summing up the total frequencies of occurrences.
In this example, the frequencies are: 2 4 6 8 10 12 14
Therefore, the sample size (n) is calculated as follows:
n = 2 + 4 + 6 + 8 + 10 + 12 + 14 = 56
Therefore the sample size for the data set = 56
You can simplify the given expression by taking out those factors who are perfect squares.
The simplified form of the given expression will be 
<h3>How to simplify values which are under the root?</h3>
If possible, try to defactor what is inside the root.
For example, if 8 is under square root, then you can defactor 8 as made up of 2 times 2 times 2. Since 2 times 2 is perfect square, thus this can come out of the root.
Simply, some more such methods can be used to simplify these type of values.
<h3>Using the simplification method on given expression</h3>
Thus, after getting simplified, the expression becomes
Learn more about quotient here:
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The volume of premium antifreeze to be used is 60 gallons.
The volume of water to be used is 120 gallons
<h3>What is a percentage?</h3>
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Let the volume of 60% pure antifreeze be used to make 20% pure antifreeze.
= x gallons
The volume of 20% pure antifreeze = 180 gallons
For 60% pure antifreeze:
C₁ = 60% , V₁ = x gallons
For 20% pure antifreeze :
C₂ = 20% , V₂ = 180 gallons
Applying,
C₁V₁ = C₂V₂
60 × x = 20 × 180
x = 60 gallons
The volume of 60% pure antifreeze used = 60 gallons.
The volume of water to be used.
= 180 - 60 gallons
= 120 gallons
Thus,
The volume of premium antifreeze to be used is 60 gallons.
The volume of water to be used is 120 gallons
Learn more about percentages here:
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Answer:
<em>35 words per minute. </em>
Step-by-step explanation:
To find the answer you have to divide <em>Minutes</em> by <em>Words Typed</em>.
105 ÷ 3 = 35.
175 ÷ 5 = 35.
315 ÷ 9 = 35.
<em>Therefore, our answer is 35.</em>
