The value of x, obtained using the property of bisected angles is 10
What are bisected angles?Bisected angles are angles that are split by a line segment in two to create two angles of the same measure.
The specified information indicates;
[tex]\overrightarrow{GI}[/tex] bisects ∠DGH
m∠DGI = x - 3
m∠IGH = 2·x - 13
The angle addition postulate indicates that we get;
m∠DGH = m∠DGI + m∠IGH
The definition of the bisected angle ∠DGH indicates that we get;
∠DGI = ∠IGH
Therefore;
x - 3 = 2·x - 13
2·x - 13 = x - 3
2·x - x = 13 - 3 = 10
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A mountain bike tire completes 15 revolutions and travela 146 feet. Rounded tot the nearest in, how many inches is the diameter of the vike's tire?
The diameter of the bike's tire is 2.325 inches.
What is circumference?Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of circle defines the region occupied by it. If we open a circle and make a straight line out of it, then its length is the circumference. It is usually measured in units, such as cm or unit m.
A mountain bike tire completes 15 revolutions and travels 146 feet.
Now,
1 revolution of a tire is equal to the circumference of the tire.
Since we have 15 revolutions, we should take 15C=146
where C=πd where π is pi (use 3.14 or the pi symbol).
Our equation is:
20πd=146.
Then solve for d:
20 × 3.14 × d = 146
62.8d = 146
d = 146/62.8
d = 2.325 inches.
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Simplify the radical
[tex]\sqrt{x} 245[/tex]
The radical expression √45 when simplified has a value of 3√5
Simplifying the radical expressionFrom the question, we have the following parameters that can be used in our computation:
The radical expression √45
Express 45 as the product of 9 and 5
So, we have the following representation
√45 = √(9 * 5)
Expand the expression
This gives
√45 = √9 * √5
Take teh square roots of 9
This gives
√45 = 3 * √5
Lastly, we have
√45 = 3√5
Hence, the radical expression when simplified is 3√5
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Complete question
Simplify the radical √45
3. Find volume. Show work, round to 2 decimal places.
*square based pyramid*
the first thing that you're supposed to do is multiply all the given measurements as we know that volume is equal to length times with times height so you have to multiply all the three given measurements the answer that you get after multiplying those three given measurements you have to round your answer to the nearest two decimal places therefore after they'll call my they need to be two numbers just after the coma
A box contains 3 pens, 2 markers, and 1 highlighter. Tara selects one idem randomly and does not return it to the box. She then selects a second idem randomly. What is the probability that Tara selects 1 pen and then 1 marker? A. ) 5/36 B. ) 6/30 C. ) 6/36 D. ) 27/30
The probability that Tara selects 1 pen and then 1 marker is 6/30 (option b).
To solve this problem, we need to first find the total number of ways that Tara can select two items from the box without replacement.
In this case, we have n = 6 (3 pens, 2 markers, and 1 highlighter) and r = 2. Therefore, the total number of ways that Tara can select two items is:
6C2 = 6! / 2! (6 - 2)! = 15
Next, we need to find the number of ways that Tara can select a pen first and then a marker.
Therefore, the number of ways to select a pen first is 3, and the number of ways to select a marker second is 2. The total number of ways to select a pen first and then a marker is:
3 x 2 = 6
Finally, we can find the probability of selecting a pen first and then a marker by dividing the number of ways to select a pen first and then a marker by the total number of ways to select two items:
6 / 15 = 2 / 5
Therefore, the correct answer is option B) 6/30, which can be simplified to 2/5.
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A restaurant offers 18 types of pizza. A small cafe offers 1/3 as many types of pizza. How many fewer types of pizza does the small cafe offer?
Answer:
6 fewer pizzas
Step-by-step explanation:
The small cafe offers 6 fewer types of pizza than a restaurant. The restaurant offers 18 different types of pizzas and the cafe offers 1/3 as many types of pizzas which means what we have to find 1/3 of 18.
1/3 of 18 is 6 because 6*3 is 18
18 - 6 = 12 which is the number of pizzas the cafe offers but this is slightly irrelevant to the question because the question is asking how many FEWER pizzas the cafe sells than the restaurant
So, the small cafe offers 6 FEWER pizzas than the restaurant.
Hope this helps!
A cookie recipe called for 2 4/5 cups of sugar for every 2/3 cup of flour. If you made a batch of cookies using 1 cup of flour, how many cups sugar would you needs
Answer:
[tex]4\frac{1}{5} cups[/tex]
Step-by-step explanation:
Let's start by setting up a ratio for the recipe.
First, rewrite 2 and 4/5 as an improper fraction.
[tex]2\frac{4}{5} = \frac{14}{5}[/tex]
We know that for every 2/3 cup of flour, we need 14/5 cups of sugar. So, our ratio will be:
[tex]\frac{2}{3} :\frac{14}{5}[/tex]
We want to find how many cups of sugar we'd need for 1 cup of flour. Let s represent the cups of sugar. Let's set up another ratio (flour to sugar):
[tex]1:s[/tex]
Now, since you're following the same recipe, let's set the ratios equal to make a proportion, like so:
[tex]\frac{2}{3} :\frac{14}{5} =1:s[/tex]
Multiply the means and extremes, set their products equal, and solve.
[tex]\frac{2}{3}s=\frac{14}{5}*1=\\s=\frac{3}{2} *\frac{14}{5} =\\s=\frac{21}{5}[/tex]
Let's turn 21/5 into a mixed number.
[tex]\frac{21}{5} =4\frac{1}{5}[/tex]
So, if you used one cup of flour, you would need [tex]4\frac{1}{5}[/tex] cups of sugar.
I will be giving brainliest plis help me!!!??!!?!??
Answer:sine
Step-by-step explanation:
I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The set of inequalities that expresses the given relationships are -6 < -2 and -2 > -4. The correction is second option -6 < -2 and -2 > -4
Writing an inequalityFrom the question, we are to determine the set of inequalities that expresses the relationships
From the given information,
The given relationships are:
A score of -6 is lower than a score of -2. A score of -2 is higher than a score of -4.
First, we will write the first relationship as an inequality
A score of -6 is lower than a score of -2
This means that -6 is less than -2.
Using inequalities symbols, we can write that
-6 < -2
Now,
For the second relationship :
A score of -2 is higher than a score of -4
This means, -2 is greater than -4
Using inequalities symbols, we can write that
-2 > -4
Hence,
The inequalities that express the relationships are -6 < -2 and -2 > -4
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I NEED HELP ON THIS ASAP!!!
The exponential function f(x) = 2^x is given by the blue graph on the given graph.
What is an horizontal asymptote?The horizontal asymptote of a function is the value of f(x) as x goes to infinity, as long as this value is different of infinity.
The function in this problem is defined as follows:
y = 2^x.
Two relevant numeric values are given as follows:
When x = -1, y = 2^(-1) = 1/2 = 0.5.When x = 0, y = 2^0 = 1.Hence the function is represented by the blue graph.
The horizontal asymptote is of y = 0, as when x goes to negative infinity, y goes to zero.
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HELP I DONT GET THIS!!Add.
(6d²+3d)+(7d+3)
Answer:
the answer is...
Step-by-step explanation:
6d^2 + 10d + 21
The price of a can of beans is raised from 64
cents to 74
cents.
Approximately what is the percent increase in the price of the can of beans?
Answer: 13%
Step-by-step explanation:
10/74 = 0.13513513513
Scalar and Matrix multiplication What is the dang product???
The result of the vector multiplication of a scalar is a vector.
Vector multiplication of a scalarA vector has both magnitude and direction while a scalar has only magnitude and no direction.
When each element of the vector is multiplied by the scalar when a scalar and a vector are multiplied. The resulting vector is multiplied by the scalar, but it still has the same direction as the original vector. Thus when we multiply the vector by the scalar what we get is a vector as we can see in this question.
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express the double integral d f (x, y) da as an iterated integral for the given function f and region d.
An iterated integral for the given function f and region d is [tex]\int\limits^1_0 \int\limits^2_y {x+y} \, dx dy[/tex].
What is integral?
An integral is the continuous equivalent of a sum in mathematics, where sums are used to compute areas, volumes, and their generalizations. One of the two basic operations in calculus, along with differentiation, is integration, which is the process of computing an integral.
Here, we have
Given: Consider the following F(x, y) = x + y YA (1,1) D 0 2 x
Equation of line passes through (2,0),(1,1)
= (y - y₁)/(y₂ - y₁) = (x - x₁)/(x₂ - x₁)
= (y - 0)/(1 - 0) = (x - 2)/(1 - 2)
= y/1 = (x-2)/(-1)
y = -x + 2
x = 2-y
∫∫F(x,y)dA = [tex]\int\limits^0_1 \int\limits^2_y {f(x,y)} \, dx dy[/tex]
∫∫F(x,y)dA = [tex]\int\limits^1_0 \int\limits^2_y {x+y} \, dx dy[/tex]
Hence, an iterated integral for the given function f and region d is [tex]\int\limits^1_0 \int\limits^2_y {x+y} \, dx dy[/tex].
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Find the midpoint of A and B where A has coordinates (-3, -5) and B has coordinates (4, 4).
Answer:
(0.5, -0.5)
Step-by-step explanation:
To find the midpoint of A and B, we can use the midpoint formula. The formula involves finding the average of the x-coordinates and the average of the y-coordinates.
Midpoint formula: ((x1 + x2) / 2 , (y1 + y2) / 2)
Using the coordinates of A (-3, -5) and B (4, 4), we can plug them into the formula:
(((-3) + 4) / 2 , ((-5) + 4) / 2)
Simplifying this gives us the midpoint of A and B: (0.5, -0.5).
Therefore, the midpoint of A and B is at coordinates (0.5, -0.5).
Which scatter plot shows a negative nonlinear association?
A.
Scatter plot graph in quadrant 1 of a coordinate plane. 11 points are plotted approximated at (2, 5), (1.5, 11.5), (3.1, 6.1), (4, 9), (5.9, 12.5), (7, 6), (7.5, 8.5), (8, 11), (8.9, 4.1), (9, 8), and (11, 10).
B.
Scatter plot Graph on a coordinate plane. Closed points plotted at (3, 11), (3, 12), (4, 11), (4.2, 12), (5, 10.8), (5.4, 12), (6, 10), (6.5, 11), (6.9, 9), (7.1, 6), (7.1, 7.7), (7.8, 9), (8.1, 6.1), (8, 7.5).
C.
Scatter plot in quadrant 1 of a coordinate plane. 10 points are plotted at (2, 11), (2.5, 9), (3, 10), (4, 8), (5, 8.2), (5.5, 6.5), (6.5, 7), (6.5, 5), (8, 5.8), and (9, 4).
D.
Scatter plot in quadrant 1 of a coordinate plane. 10 points are plotted at (2, 3), (2.8, 4.2), (3.8, 3.2), (4, 4.6), (4, 6), (5, 5), (6, 8), (7, 7), (7.8, 9.2), and (8.9, 9.1).
The scatter plot that shows a negative nonlinear association is option C.
What is scatter plot?A scatter plot is a type of graph that displays the relationship between two variables. It is used to show how much one variable is affected by another variable. One variable is plotted on the horizontal axis (x-axis) and the other variable is plotted on the vertical axis (y-axis).
Here,
In this scatter plot, as the x-axis values increase, the y-axis values initially increase and then decrease. This type of association is referred to as a negative nonlinear association, where the direction of the association is negative (decreasing) and the shape of the association is nonlinear (not a straight line). The other options either show a positive association (increasing values of x and y) or a linear association (a straight line).
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Sophie makes friendship bracelets. She uses 3/5 yard of string to make one bracelet. How much string will she need to make a bracelet for her and three friends?
Answer:
2 2/5
Step-by-step explanation:
First, we convert the fraction to decimal, since 3/5 yards is the same as 3 divided by 5 = 0.6.
Now, multiply 0.6 by 4 ( Sophie is in so 3 friends + 1) = 2.4.
Finally, we convert the decimal back a fraction which is 2 2/5, (2 whole and 2/5).
Hope this Helps
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The legs of a right triangle measure 39 and 80 units. What is the measure of the
hypotenuse? Answer as a number only.
Answer: probably 89
Step-by-step explanation: looked it up "you have the wrong picture up"
The hypotenuse of the given right-angled triangle is 89 units.
From the below figure, the base of the triangle AB = 39 units
The height of the triangle AC = 80 units
To know the hypotenuse of the given triangle we have to use the Pythagoras theorem as shown below,
From the given figure,
BC² = AB² + AC²
BC² = 39² + 80²
BC² = 1521 + 6400
BC² = 7921
BC = √7921
BC = 89.
From the above analysis, we can conclude that the hypotenuse of the given right-angled triangle is 89 units.
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Given question is having the wrong picture. I am attaching required correct picture as below,
What is 270% of 136ft?
Answer:
367.2
Step-by-step explanation:
Basically 270% is 2.7 so if you multiply 2.7 by 136 you will get 367.2
Solve for the Social Security contribution if the percentage deduction is 8.5% for the income of $112, 000
Answer:$9,520.
Step-by-step explanation:
o solve for the Social Security contribution, you can use the following formula:Social Security contribution = (percentage deduction/100) x incomeSubstituting the given values:Social Security contribution = (8.5/100) x $112,000
= $9,520Therefore, the Social Security contribution for an income of $112,000 with a percentage deduction of 8.5% is $9,520.
Please help will give brainiest to whoever has the right answer and thxsss in advance
The composite figure that has an area of 40 square yards would be composed of a rectangle and a triangle.
It is not true that when two composite figures have the same area, they must also have the same perimeter.
How to design the composite shape ?The composite figure is composed of a rectangle and a triangle placed side by side. The rectangle has a width of 5 yards and a length of 6 yards. The triangle is a right triangle with a base of 4 yards and a height of 5 yards.
Area Calculation:
The area of the rectangle is length × width = 5 yards × 6 yards = 30 square yards.
The area of the triangle is (1/2) × base × height = (1/2) × 4 yards × 5 yards = 10 square yards.
The total area of the composite figure is the sum of the rectangle's area and the triangle's area: 30 square yards + 10 square yards = 40 square yards.
Why is your friend's argument on composite shapes wrong ?I disagree with your friend's statement that when two composite figures have the same area, they must also have the same perimeter. It is possible for two composite figures to have the same area but different perimeters.
Example:
Consider a square with a side length of 4 units. Its area is 16 square units, and its perimeter is 16 units.
Now, consider a rectangle with a length of 8 units and a width of 2 units. Its area is also 16 square units (8 x 2), but its perimeter is 20 units (8 + 8 + 2 + 2).
Both the square and the rectangle have the same area (16 square units) but different perimeters (16 units and 20 units, respectively).
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At Bob's Auto Plaza there are currently 15 new cars, 7 used cars, 9 new trucks, and 6 used trucks. Bob is going to choose one of these vehicles at random to be the Deal of the Month. What is the probability that the vehicle that Bob chooses is new or is a car
The probability that the vehicle Bob chooses is new or is a car is [tex]\frac{31}{37}[/tex]
To determine the probability that the vehicle Bob chooses is new or is a car at Bob's Auto Plaza, follow these steps:
1. Calculate the total number of vehicles:
15 new cars + 7 used cars + 9 new trucks + 6 used trucks = 37 vehicles
2. Calculate the number of new vehicles:
15 new cars + 9 new trucks = 24 new vehicles
3. Calculate the number of cars (both new and used):
15 new cars + 7 used cars = 22 cars
4. Since we have already counted the new cars in both categories, we need to subtract the number of new cars once to avoid double counting:
24 new vehicles + 22 cars - 15 new cars = 31 vehicles that are either new or cars
5. Finally, calculate the probability:
Probability = (number of vehicles that are new or cars) / (total number of vehicles)
[tex]Probability = \frac{31}{37}[/tex]
So, the probability that the vehicle Bob chooses is new or is a car is [tex]\frac{31}{37}[/tex] .
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Label the legs of triangle PQR as a and b and label the hypotenuse c leg a has already been labeled for you
The hypotenuse is c and the other leg is b.
Given is a right triangle we need to label the sides,
The sides are =
PR = a
PQ = c
QR = b
Here, a and b are the legs and c is the hypotenuse of the given right triangle.
Hence the hypotenuse is c and the other leg is b.
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Fierro Brothers, a discount broker, charges their customers a $19 flat fee per trade. The Sondo Investment House charges a 2% commission. For what amount of stock would both brokers charge the same commission?
The required amount of stock is of $950 for both brokers charge the same commission from the linear equation in one variable.
Let the total amount of stock be x (in dollars).
Fierro Brothers charges their customers a $19 flat fee per trade. Whereas, the Sondo Investment House charges 2% as the commission of trade.
Thus the given condition is Fierro Brothers charges equal commission fee on the required amount of stock as Sondo Investment house.
This relation can be shown in terms of linear equation as,
19 = 2% of x
⇒ 19 = (2/100)x
This linear equation is in the form of linear equation in one variable.
⇒ x= 19*(100/2)
⇒ x = 950
Therefore, on single trade of stock of $950 Fierro Brothers charges $19 fee (flat) as their commission which is equal to the commission earned by Sondo Investment House at the rate of 2% on trade.
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The standard error of the mean for a sample of 100 is 30. In order to cut the standard error of the mean to 15, we would a) increase the sample size to 200. b) increase the sample size to 400. c) decrease the sample size to 50. d) decrease the sample to 25.
In the event of shortening the standard error of mean to 15 we have to increase the size to 400. Therefore, the correct answer is Option B.
The given standard error of the mean for a sample of 100 is 30. So to cut the standard error of the mean to 15, we have to proceed by increasing the sample size to 400.
The formula for evaluating the standard error of mean
SEM = SD / √(n)
here, SEM = standard error of the mean,
SD = standard deviation
n = sample size
Staging the values
15 = SD / √(100)
15 x √(100) = SD
SD = 150
Now evaluating for the value of n
15 = 150 / √(n)
15 x √(n) = 150
√(n) = 10
n = 100
Now looking at the formula, we need to decrease SEM by half,
So we proceed by increasing the sample size by a factor of 4.
In the event of shortening the standard error of mean to 15 we have to increase the size to 400. Therefore, the correct answer is Option B.
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if all these statistics were analyzed at the end of the season, the correlation between number of wins and each of the four baseball statistics would be an example of
The correlation between the number of wins and each of the four baseball statistics would be an example of bivariate correlation analysis, which measures the strength and direction of the relationship between two variables.
The correlation between number of wins and each of the four baseball statistics would be an example of a bivariate correlation, which measures the strength and direction of the linear relationship between two variables. In this case, the two variables would be the number of wins and each of the four baseball statistics. The correlation coefficient would provide a numerical value that represents the degree of association between the two variables
A positive correlation coefficient would indicate that as one variable increases, so does the other, while a negative correlation coefficient would indicate that as one variable increases, the other decreases.
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If all these statistics were analyzed at the end of the season, the correlation between the number of wins and each of
the four baseball statistics would be an example of bivariate analysis.
Bivariate analysis involves analyzing the relationship between two variables to determine if there is any correlation or
association between them.
In this case, the two variables are the number of wins and each of the four baseball statistics.
By conducting a bivariate analysis, you can identify if there is any significant relationship between these variables and
potentially draw conclusions about their impact on team performance.
If all these statistics were analyzed at the end of the season, the correlation between the number of wins and each of
the four baseball statistics would be an example of bivariate analysis.
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[tex]6e/7=48\\[/tex]
The solution of the given equation 6e/7 = 48 is given by, e = 56.
Equation is a mathematical statement where various numerical values, mathematical variables, mathematical operations, exponents or combination of them related via equal sign.
Given the equation is,
6e/7 = 48
We have to solve this equation and have to find the value of 'e' which satisfy this equation.
Solving the given equation we get,
6e = 48*7 [On multiplying 7 with both sides]
6e = 336
e = 336/6 [On dividing 6 from both sides]
e = 56
Hence the solution of the given equation is, e = 56.
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Charlie jumped a distance of 81/feet. His younger 1 brother jumped a distance of 35/L feet and then jumped 21 feet Who jumped farther? How much farther? Explain how you found your answer.
Charlie jumped farther than his younger brother, by a distance of (60L + 35)/L - 81 feet.
To compare the distances that Charlie and his younger brother jumped, we need to find a common unit of measurement. We can convert the mixed numbers into improper fractions to make the calculation easier.
Charlie jumped 81/1 feet, which is the same as 81 feet.
His younger brother jumped 35/L feet and then 21 feet. We don't know the exact value of L, but we can still compare the distances by assuming L is a constant value. So, the total distance his younger brother jumped is:
35/L + 21 feet
We can simplify the expression by finding a common denominator:
(35 + 21L)/L feet
To compare the distances, we can subtract the distances jumped by Charlie and his younger brother:
81 - (35 + 21L)/L
To determine who jumped farther, we need to simplify this expression by finding a common denominator:
(81L - 35 - 21L)/L
Simplifying further:
(60L + 35)/L
We don't know the exact value of L, but we can say that if L is any positive value, then 60L + 35 is greater than 81. Therefore, Charlie jumped farther than his younger brother, by a distance of (60L + 35)/L - 81 feet.
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given u=5i+4j and v = 4i-3j, determine -9u-v
-9u - v = -49i - 33j
To find -9u - v, you need to multiply the vector u by -9 and subtract the vector v from the result.
Given u = 5i + 4j and v = 4i - 3j, first multiply u by -9:
-9u = -9(5i + 4j) = -45i - 36j
Now, subtract the vector v from -9u:
-9u - v = (-45i - 36j) - (4i - 3j) = (-45i - 4i) + (-36j + 3j) = -49i - 33j
#3 Solve the triangle. Round decimal to the nearest tenth
The missing measures for the triangle are given as follows:
m < B = 65º.a = 23.8. b = 32.2.What is the law of sines?Suppose we have a triangle in which:
Side with a length of a is opposite to angle A.Side with a length of b is opposite to angle B.Side with a length of c is opposite to angle C.The lengths and the sine of the angles are related as follows:
[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]
The sum of the measures of the internal angles of a triangle is of 180º, hence the measure of angle B is obtained as follows:
m < B + 73 + 42 = 180
m < B = 180 - 115
m < B = 65º.
Then the relation is:
34/sin(73º) = a/sin(42º) = b/sin(65º).
Then the value of a is obtained as follows:
34/sin(73º) = a/sin(42º)
a = 34 x sine of 42 degrees/sine of 73 degrees
a = 23.8.
The value of b is obtained as follows:
34/sin(73º) = b/sin(65º)
b = 34 x sine of 65 degrees/sine of 73 degrees
b = 32.2.
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Grayson measured a line to be 10.9 inches long. If the actual length of the line is 13.4
inches, then what was the percent error of the measurement, to the nearest tenth of a
percent?
The calculated value of the percent error of the measurement is 18.7%.
Calculating the percentage errorPercent error is calculated by subtracting the measured value from the actual value, dividing the result by the actual value, and then multiplying by 100 to get a percentage.
Using this formula, we have:
Error = Actual Value - Measured Value = 13.4 - 10.9 = 2.5
So, we have
Percent Error = (Error / Actual Value) * 100 = (2.5 / 13.4) * 100 ≈ 18.7%
Therefore, the percent error of the measurement is approximately 18.7%.
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