A length is measured as 21cm correct to 2 significant figures. what is the upper bound for the length?
1 answer:
the upper bound for the length is .
<u>Step-by-step explanation:</u>
Lower and Upper Bounds
- The lower bound is the smallest value that will round up to the approximate value.
- The upper bound is the smallest value that will round up to the next approximate value.
Ex:- a mass of 70 kg, rounded to the nearest 10 kg, The upper bound is 75 kg, because 75 kg is the smallest mass that would round up to 80kg.
Here , A length is measured as 21cm correct to 2 significant figures. We need to find what is the upper bound for the length . let's find out:
As discussed above , upper bound for any number will be the smallest value in decimals which will round up to next integer value . So , for 21 :
⇒
21.5 cm on rounding off will give 22 cm . So , the upper bound for the length is .
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<u>Answer:</u>
Consistent and dependent
<u>Step-by-step explanation:</u>
We are given the following equation:
1.
2.
3.
For equation 1 and 3, if we take out the common factor (3 and 4 respectively) out of it then we are left with which is the same as the equation number 2.
There is at least one set of the values for the unknowns that satisfies every equation in the system and since there is one solution for each of these equations, this system of equations is consistent and dependent.
Answer:
<em>The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28. Instead modifications should have been made before applying the equation.</em>
Step-by-step explanation:
Given
Total Questions = 20
Total Points = 28
Correct Answers = +2 points
Incorrect Answers = -1 point
Required
Spot the error in the viewer's calculation
The viewer represents the correct answers with x and the incorrect ones with y.
This implies that
Also, for every correct answers, she gets 2 points;
<em>This can be represented by 2x</em>
and for every incorrect answers, she gets -1 point
<em>This can be represented by -y</em>
This implies that
This is where the viewer made a mistake
The viewer's mistake is that; instead of subtracting total incorrect points from the correct points, the viewer added them together;
Solving further
Add both equations together
Divide both sides by 3
Substitute in
Subtract 16 from both sides
<em>This implies that the contestant answered 16 questions correctly and 4 questions incorrectly</em>
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