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The statement that is most correct is (b) In Grade 8, 17% of students liked running.
<h3>How to interpret the two-way frequency table</h3><u>The students that like swimming</u>
From the table, we have the following highlights
- 24% students like swimming in grade 8
- 18% students like swimming in grade 9
<u>The students that like running</u>
From the table, we have the following highlights
- 17% students like running in grade 8
- 14% students like running in grade 9
<u>The students that like volleyball</u>
From the table, we have the following highlights
- 5% students like volleyball in grade 8
- 54% students like volleyball in grade 9
When the above highlights are compared to the given options, the correct statement is (b) In Grade 8, 17% of students liked running.
Read more about two-way frequency table at:
<h2>Right answer: I and II only </h2>
If we already have the formula to find how temperature measured in degrees Fahrenheit, relates to a temperature in degres Celsius:
(1)
We can know the formula to find how temperature measured in degrees Celsius, relates to a temperature in degres Fahrenheit, only by isolating F:
(2)
Having both formulas, let’s begin:
I) If we want to prove that a temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degree Celsius:
Beginning with :
This means:
Now we are going to increase 1 degree Farenheit. In other words, we are going to use :
This means:
Calculating the difference between and
:
>>>>This is equal to 5/9 degree Celsius, hence is correct
II) If we want to prove that a temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit:
Beginning with :
This means:
Now we are going to increase 1 degree Celsius. In other words, we are going to use :
This means:
Calculating the difference between and
:
>>>>This is a proof of the statement, hence is also correct.
III) If we want to prove that a temperature increase of 5/9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius:
Beginning with :
This means:
Now we are going to add :
And use this value in the Celsius formula:
This means:
In other words: An increase in 5/9 degree Fahrenheit is equivalent to a temperature increase of 1.30 degree Celsius, <u>not 1 degree Celsius</u>.
Therefore this statement is incorrect.