Choose the statement that describes how to simply the complex fraction above into a UNIT RATE fraction?
1 answer:
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Answer:
Value of additional data point is 31.
Step-by-step explanation:
We are given the following data set:
34, 18, 18, 40, 11, 22, 30, 25, 19, 21, 45 34, 18, 18, 40, 11, 22, 30, 25, 19, 21, 45
Formula:
The old mean is 24.35
A new data was added in the data. The new mean is 24.667
We have to find the value of additional point.
Let x be the added point in the data set.
Thus, we can write:
Thus, value of additional data point is 31
The first question asks to find a change in temperature. To find this, we subtract the first temperature from the last. The final temperature here is 35.65 C, while the initial is 24.85 C. Finding the change, we end up with
To find the m and c for 3, we know that m stands for mass (represented in grams here - make sure that you know whether to do it in kilograms or grams! If it says that the specific heat of water is 4,184 , it's kilograms. If it's 4.184, it means grams), and we know that there are 1000 grams of water. Thus, our mass is 1,000. The c, or specific heat, is 4.184 J/(g*C) for water. Therefore, we have
as the heat absorbed by the water.
Similarly for the calorimeter, we multiply the heat capacity of the calorimeter by the change in temperature, or
as the heat absorbed by the calorimeter.
Feel free to ask further questions!
To find the m and c for 3, we know that m stands for mass (represented in grams here - make sure that you know whether to do it in kilograms or grams! If it says that the specific heat of water is 4,184 , it's kilograms. If it's 4.184, it means grams), and we know that there are 1000 grams of water. Thus, our mass is 1,000. The c, or specific heat, is 4.184 J/(g*C) for water. Therefore, we have
Similarly for the calorimeter, we multiply the heat capacity of the calorimeter by the change in temperature, or
Feel free to ask further questions!