David measured the height of a window frame as 5.61 feet, but the actual height was 6 feet. What is the percentage of error in D
1 answer:
<h2>Percentage of error in David's measurement is 6.5 %</h2>
Step-by-step explanation:
Measured height = 5.61 feet
Original height = 6 feet
Error in measurement = Original height - Measured height
Error in measurement = 6 - 5.61
Error in measurement = 0.39 feet
Percentage of error in David's measurement is 6.5 %
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Answer:
Part 1) The new distance from the water to the top of the tank is
Part 2) The maximum number of balls that can be put into the tank with the tank not overflowing is 95
Step-by-step explanation:
step 1
Find the total volume of the tank
step 2
Find the volume of the tank if the water level is two inches below the top of the tank
step 3
Find the volume of the glass sphere
The volume of the glass sphere is equal to
we have
assume
substitute
step 4
What is the new distance from the water to the top of the tank?
we know that
so
using proportion
Find how many inches correspond a volume of
The new distance from the water to the top of the tank is
step 5
Find how many of these balls can be put into the tank with the tank not overflowing
we know that
The volume of one ball is equal to
using proportion
therefore
The maximum number of balls that can be put into the tank with the tank not overflowing is 95
The level of measurement of each given variable are:
1. Ordinal
2. Nominal
3. Ratio
4. Interval
5. Ordinal
6. Nominal
7. Ratio
8. Interval
Level of measurement is used in assigning measurement to variables depending on their attributes.
There are basically four (4) levels of measurement (see image in the attachment):
1. <u>Nominal:</u> Here, values are assigned to variables just for naming and identification sake. It is also used for categorization.
- Examples of variables that fall under the measurement are: Favorite movie, Eye Color.
<u>2. Ordinal:</u> This level of measurement show difference between variables and the direction of the difference. In order words, it shows magnitude or rank among variables.
- Examples of such variables that fall under this are: highest degree conferred, birth order among siblings in a family.
<u>3. Interval Scale:</u> this third level of measurement shows magnitude, a known equal difference between variables can be ascertain. However, this type of measurement has <em>no true zero</em> point.
- Examples of the variables that fall here include: Monthly temperatures, year of birth of college students
4. Ratio Scale: This scale of measurement has a "true zero". It also has every property of the interval scale.
- Examples are: ages of children, volume of water used.
Therefore, the level of measurement of each given variable are:
1. Ordinal
2. Nominal
3. Ratio
4. Interval
5. Ordinal
6. Nominal
7. Ratio
8. Interval
Learn more about level of measurement here:
