Answer:
5: c=65 d=125 e=60
6: c= 58 d= 121 e=63
7. a=55 b=64 c=61
8. a=61 b=55 c=64
Step-by-step explanation: :)
Find the slope of the line that passes through Point A (2,
6) and the origin using m =
run
Rise
Answer:
3
Step-by-step explanation:
We have two points
( 2,6) and (0,0)
The equation for slope
m = (y2-y1)/(x2-x1)
= ( 6-0)/(2-0)
= 6/2
=3
Answer:
Slope=3
Step-by-step explanation:
Use slope formula
(0,0) (2,6)
Slope =(y2−y1)/(x2−x1)
6−0/2−0
6/2=3
Slope=3
Hope this helps : )
Seti graphed the point Three-halves and labeled that location P. Which number line shows this point?
A number line going from 0 to 2 in increments of 1. There are 2 equals spaces between each number. Point P is half-way between 1 and 2.
A number line going from 0 to 2 in increments of 1. There are 3 equal spaces between each number. Point P is on the mark to the left of 1.
A number line going from 0 to 2 in increments of 1. There are 2 equals spaces between each number. Point P is half-way between 0 and 1.
A number line going from 0 to 2 in increments of 1. There are 3 equal spaces between each number. Point P is on the mark to the right of 1.
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I got it right plz mark me brainliest its ok it you dont tho :D
Kyle needs 164 beads for a project. The beads are sold in packs of 2, 5, or 10. What is the least number of packs Kyle needs to buy. Explain
Answer: 17 packs
Step-by-step explanation: 16 packs of 10 equals 160 beads, and one pack of 5 will give you 164 beads with 1 left over.
Three sides of a quadrilateral are the same length, q. The length of the fourth side is 7 inches. The perimeter of the quadrilateral is 40 inches. Write an equation that represents the situation.
The equation that represent the situation of the quadrilateral is 40 = 3q + 7
How to write equation to represent the side of a quadrilateral?A quadrilateral is a polygon with 4 sides.
Three sides of a quadrilateral are the same length, q.
The length of the fourth side is 7 inches.
The perimeter of the quadrilateral is 40 inches.
The equation to represent the situation is as follows:
perimeter of a figure is the sum of the whole sides.
Hence,
perimeter of the quadrilateral = q + q + q + 7
perimeter of the quadrilateral = 3q + 7
Therefore,
40 = 3q + 7
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Answer:
3q + 7 = 40
Step-by-step explanation:
I got this lesson
The data on the right represent the number of traffic fatalities by seat location and gender. Determine P() and P(|). Are the events "" and "" independent? Total Total Determine P(). P() . 318 (Round to three decimal places as needed.) Determine P(|). P(|) . 264 (Round to three decimal places as needed.) Are the events "" and "" independent? A. Yes. The occurrence of the event "" affects the probability of the event "." B. No. The occurrence of the event "" affects the probability of the event "." C. No. The occurrence of the event "" does not affect the probability of the event "." D. Yes. The occurrence of the event "" does not affect the probability of the event "."
Answer:
The probability of selecting a male is 0.3151.
The events "male" and "driver" are not independent.
The correct option is B.
Step-by-step explanation:
The missing data is as follows:
Female Male Total
Driver 32759 11715 44474
Passenger 6534 6361 12895
Total 39293 18076 57369
The complete question is:
Determine P(male) and P(male|driver). Are the events "male" and "driver" independent?
Solution:
Compute the probability of selecting a male as follow:
\(P(M)=\frac{n(M)}{N}=\frac{18076 }{57369}=0.3151\)
Thus, the probability of selecting a male is 0.3151.
Compute the probability of selecting a male given that he is a driver as follows:
\(P(M|D)=\frac{P(M\cap D)}{P(D)}=\frac{n(M\cap D)}{n(D)}=\frac{11715 }{44474}=0.2634\)
Two events, say A and B, are independent if:
P (A|B) = P(A)
Here, P (M|D) ≠ P (M)
Thus, the events "male" and "driver" are not independent.
P(female)= .317
Determine P(femaleIpassenger)= .264
No. The occurrence of the event
"passenger" affects the probability of the event "female."
Please help me with this proof.
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
Which expression is equivalent to RootIndex 3 StartRoot 256 x Superscript 10 Baseline y Superscript 7 Baseline EndRoot? 4 x squared y (RootIndex 3 StartRoot x squared y cubed EndRoot) 4 x cubed y squared (RootIndex 3 StartRoot 4 x y EndRoot) 16 x cubed y squared (RootIndex 3 StartRoot x y EndRoot) 16 x Superscript 5 Baseline y cubed (RootIndex 3 StartRoot y EndRoot)
Answer:
B
Step-by-step explanation:
edg 2021
Answer: b
Step-by-step explanation:
What is the range of the function shown on the graph?
The range of the function on the graph is y > -6
Calculating the range of the graph?From the question, we have the following parameters that can be used in our computation:
The graph
The graph is an exponential function
The rule of an exponential function is that
The domain is the set of all real numbers
This means that the input value can take all real values
However, the range is always greater than the constant term
In this case, it is -6 i.e. the point where it intersects with the y-axis
So, the range is y > -6
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You measure 49 textbooks' weights, and find they have a mean weight of 54 ounces. Assume the population standard deviation is 11.7 ounces. Based on this, construct a 95% confidence interval for the true population mean textbook weight. Use z = 2 for calculations
Answer:
= ( 50.66, 57.34)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 54 ounces
Standard deviation r = 11.7 ounces
Number of samples n = 49
Confidence interval = 95%
z(at 95% confidence) = 2
Substituting the values we have;
54+/-2(11.7/√49)
54+/-2(1.671428571428)
54+/-3.342857142857
54+/-3.34
= ( 50.66, 57.34)
Therefore, the 95% confidence interval (a,b)
= ( 50.66, 57.34)
Thanks
It Quiz: Graphs and Measurement
Diana is making enough soup to feed 9 people. She plans to serve all of the soup to her guests in 6-ounce bowls.
In order to make enough soup, she needs to add a total of 4.75 cups of water. There are 8 ounces in a cup.
How many total ounces of water did Diana add to her soup? What is the total number of ounces of the other
ingredients in her soup? Explain how you found your answers.
Type your answer in the box below.
mentum
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Mar 10
11:
Answer:
1. 57/16 or 3.5625 ounces of water
8 : 4.75
1 : 19/32 -----> divide both by 8
19/32x6=57/16 = 3.56 ounces
2. 2.4375 ounces of other ingredients
6-3.5625=2.4375
Anna volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday, 382 people went to The Youth Wing, 461 people went to Social Issues, and 355 went to Fiction and Literature. On Sunday, the library had 800 total visitors. Based on what Anna had recorded on Saturday, about how many people should be expected to go to The Youth Wing? Round your answer to the nearest whole number.
Based on the data recorded by Anna on Saturday, we can estimate the number of people expected to visit The Youth Wing on Sunday.
Let's calculate the proportion of visitors to The Youth Wing compared to the total number of visitors on Saturday:
\(\displaystyle \text{Proportion} = \frac{\text{Visitors to The Youth Wing on Saturday}}{\text{Total visitors on Saturday}} = \frac{382}{382 + 461 + 355}\)
Next, we'll apply this proportion to the total number of visitors on Sunday to estimate the number of people expected to go to The Youth Wing:
\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times \text{Total visitors on Sunday}\)
Now, let's substitute the values into the equation and calculate the estimated number of visitors to The Youth Wing on Sunday:
\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355}\)
\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times 800\)
Calculating the proportion:
\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355} = \frac{382}{1198}\)
Calculating the estimated number of visitors to The Youth Wing on Sunday:
\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \frac{382}{1198} \times 800\)
Simplifying the equation:
\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx \frac{382 \times 800}{1198}\)
Now, let's calculate the approximate number of visitors to The Youth Wing on Sunday:
\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx 254\)
Therefore, based on the data recorded on Saturday, we can estimate that around 254 people should be expected to go to The Youth Wing on Sunday.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
put the steps, for changing the formula for sector area of a circle in degrees to the formula for the sector area of a circle in radians, in the correct order
Answer:
see explanation
Step-by-step explanation:
The area (A) of a sector is calculated as
A = area of circe × fraction of circle
= πr² × \(\frac{0}{360}\) ← where θ is in degrees
[ note that 360° = 2π radians ], then
A = πr² × \(\frac{0}{2\pi }\) ← where θ is in radians
( Cancel π on numerator/ denominator )
A = \(\frac{1}{2}\)θr²
9514 1404 393
Answer:
top down: 2, 4, 1, 7, 6, 5, 3, 8
Step-by-step explanation:
It appears the expected order may be ...
__
Write the formula for a sector area of a circle with central angle, θ, in degrees.
\(\textit{Area of a Sector}=\dfrac{\theta}{360^{\circ}}\cdot\pi r^2\)
Replace 360° with 2π radians.
\(\dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}\)
Replace the angle ratio in degrees with the angle ratio in radians.
\(\textit{Area of a Sector}=\dfrac{\theta}{2\pi}\cdot\pi r^2\)
Simplify by cancelling
\(\textit{Area of a Sector}=\dfrac{1}{2}\theta r^2\)
Laura correctly determines four arithmetic means between −17 and 32.
What values does Laura determine?
A - Laura determines the four arithmetic means to be −7.2, 2.8, 12.4, and 22.4.
B - Laura determines the four arithmetic means to be −7.2, 2.6, 12.6, and 22.4.
C - Laura determines the four arithmetic means to be −7.2, 2.8, 12.6, and 22.2.
D - Laura determines the four arithmetic means to be −7.2, 2.6, 12.4, and 22.2.
The correct answer is option C: Laura determines the four arithmetic means to be −7.2, 2.8, 12.6, and 22.2.
What is arithmetic sequence?
An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.
To determine the arithmetic means between two numbers, we need to find the common difference between each pair of consecutive means. The common difference is given by:
Common difference = (larger number - smaller number) / (number of means + 1)
In this case, the larger number is 32 and the smaller number is -17. Laura wants to find four means, so the number of means is 4. Therefore, the common difference is:
Common difference = (32 - (-17)) / (4 + 1) = 49 / 5 = 9.8
To find the four arithmetic means, we start with the smaller number and add the common difference successively. Therefore, the four arithmetic means are:
-17 + 9.8 = -7.2
-7.2 + 9.8 = 2.6
2.6 + 9.8 = 12.4
12.4 + 9.8 = 22.2
Therefore, the correct answer is option C: Laura determines the four arithmetic means to be −7.2, 2.8, 12.6, and 22.2.
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Find the slope of identity function using points (0,0) and ( 3,3) then from two points (0,0) and (-3,-3). Is there any change in its slope?
There is no change in its slope as initial and final slope is 1.
What is slope?
In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.
Main body:
formula for slope with two points form is =
y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)
according to question ,
points are (0,0) and (3,3)
y - 0 = (3-0/3-0)(x -0)
y = 3/3 *x
y = x
hence slope of line is 1.
Now points are (0,0) and (-3,-3).
y - 0 = (-3-0/-3-0)(x -0)
y =- 3/-3 *x
y = x
hence slope of line is 1.
So there is no change in its slope.
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For what values of x is the expression (x - 4)^2 > 0?
Answer:
\(x<4\text{ or } x>4\)
Step-by-step explanation:
Solve we have the inequality:
\((x-4)^2>0\)
Let's solve it like a normal equation first. So, pretend the inequality is an equal sign:
\((x-4)^2=0\)
Solve for x. Zero Product Property:
\(x-4=0\text{ or } x-4=-0\)
Add 4 to both sides for both equations:
\(x=4\text{ or } x=4\)
So, our roots are at x=4 and x=4.
Since our original inequality is greater than, this means that our solution will be all values to the left of our first zero and all values to the right of our second zero.
Therefore, our solution is:
\(x<4\text{ or } x>4\)
Simply put, our x can be anything except for 4 itself.
And we're done!
Answer:
x<4 or x>4
Step-by-step explanation:
(x - 4)^2 > 0
Take the square root of each side
±sqrt((x - 4)^2) >sqrt( 0)
x-4 > 0 or -(x-4)>0
Solving the first inequality
Add 4 to each side
x>4
Solving the second inequality
Divide each side by -1, remembering to flip the inequality
x-4 <0
Add 4 to each side
x < 4
Select the correct answer.
What is the value of x in the triangle?
a 30-60-90 triangle with long leg length x and shorter leg length of 7 times the square root of 3
The length of the hypotenuse is 7m.
Let the side opposite to 30° be the shortest leg.
The side opposite to 60° is the longest leg.
So, the side opposite to 90° is hypotenuse.
Length of the shortest side is x.
Length of longest side is \(\sqrt{3}x\)
Length of the hypotenuse is 2x.
We know x = 7
So, \(\sqrt{3}(x)=\sqrt{3}(7)\)
Thus, the length of the longer leg is \(\sqrt{3}(7)\) m
Length of hypotenuse = 2x = 2(7) = 14m
\(x^{2} +(\sqrt{3} x)^2 =(2x)^2\\\\(7)^2+(\sqrt{3} (7))^2=(2x)^2\\\\49 + (3(49)) = (2x)^2\\\\49 + 147= (2x)^2\\\\(2x)^2=196\)
Taking square root on both sides:
\(2x = \sqrt{196}\)
2x = 14
x = 7
Therefore, the length of the hypotenuse is 7m.
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find the slope of the line passing through the points (6,-7) and (3,-3) .
Answer:
y2-y1 / x2-x1
-4/3
Step-by-step explanation:
Answer:
-4/3
Step-by-step explanation:
When given two points, the slope is found by
m = (y2-y1)/(x2-x1)
= (-3- -7)/(3 -6)
= (-3+7)/(3-6)
= 4/-3
= -4/3
HELP WITH NUMBER ONE PLEASE!! (FACTORING)
Show me how you did it please!!!
When an object is weighed on a scale, the number displayed may vary from the object’s actual weight by at most 0.4 pounds. The scale says the object weighs 125.8 pounds. Part A: Write an absolute value inequality that describes the range of the actual weight of the object. Use the variable w to represent the actual weight of the object. Part B: Solve the absolute value inequality for w. Express your answer as a compound inequality.
The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.
Part A: The absolute value inequality that describes the range of the actual weight of the object is:
|w - 125.8| ≤ 0.4
Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:
w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4
Solving the first inequality:
w - 125.8 ≤ 0.4
Add 125.8 to both sides:
w ≤ 126.2
Solving the second inequality:
-(w - 125.8) ≤ 0.4
Multiply by -1 and distribute the negative sign:
-w + 125.8 ≤ 0.4
Subtract 125.8 from both sides:
-w ≤ -125.4
Divide by -1 (note that the inequality direction flips):
w ≥ 125.4
Combining the solutions, we have:
125.4 ≤ w ≤ 126.2
The object is 125.4 ≤ w ≤ 126.2.
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Please help! will make brainliest
Answer:
59,582π/375 (approximately 499.153) square centimeters
Step-by-step explanation:
Volume:
\( \frac{1}{3} \pi {(6.2)}^{2} (12.4)\)
\( \frac{1}{3} {( \frac{31}{5}) }^{2} ( \frac{62}{5} )\pi\)
\( \frac{59582\pi}{375} \)
Which is misleading about the data shown on the figure?
Number of members
Look at the photo
The misleading about the data shown on the figure is the clas width
Which is misleading about the data shown on the figure?From the question, we have the following parameters that can be used in our computation:
The histogram
On the histogram, we have the following readings
1 - 2021 - 3031 - 4546 - 65From the above, we can see that
The above readings are not consistent i.e. the class widths are not equal
Hence, the misleading about the data shown on the figure is the clas width
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Question 1 (1 point)Divide using any method.-3x3 + 4.x2 + 2x – 5)(x - 2)
Two sides of a triangle have lengths 43 and 67. The angle included between these sides measures 27degrees°. To the nearest hundreth, what is the length of the third side?
The length of the third side of the triangle, to the nearest hundredth, is approximately 54.75 units.
1. We have a triangle with two known side lengths: 43 and 67 units.
2. The angle included between these sides measures 27 degrees.
3. To find the length of the third side, we can use the Law of Cosines, which states that \(c^2 = a^2 + b^2\) - 2ab * cos(C), where c is the third side and C is the included angle.
4. Plugging in the known values, we get \(c^2 = 43^2 + 67^2\) - 2 * 43 * 67 * cos(27).
5. Evaluating the expression on the right side, we get \(c^2\) ≈ 1849 + 4489 - 2 * 43 * 67 * 0.891007.
6. Simplifying further, we have \(c^2\) ≈ 6338 - 5156.898.
7. Calculating \(c^2\), we find \(c^2\) ≈ 1181.102.
8. Finally, taking the square root of \(c^2\), we get c ≈ √1181.102 ≈ 34.32.
9. Rounding to the nearest hundredth, the length of the third side is approximately 34.32 units.
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Water comes out of a pipe at a rate of 12 gallons per minute. How many gallons have come out after 3 minutes?
Answer: 36
Step-by-step explanation: 12/1 =?/3 so you multiply by 3 and 3x12= 36
Answer:
After 3 minutes, 36 gallons of water comes out of the pipe.
Step-by-step explanation:
If 12 gallons come out per minute, you can simply multiply 12 gallons by 3 minutes, thus you end up with 36 gallons / 3 minutes.
10 less than three times a number is 23. Find the number
Answer:
x = 11
Step-by-step explanation:
23 = 3x-10
1. Add 10 to both sides of the equation. -10 plus 10 is equal to zero so it cancels out to nothing, and 23 plus 10 is 33.
2. The new equation is now 33 = 3x.
3. Now you want to divide both sides by 3 to make x by itself since that is what you are trying to solve for.
4. 33/3 is equal to 11 so x = 11.
The value of the unknown number is 11
Inequality is a concept in mathematics that shows the comparison between two non-equal numbers.
From the given information
Let the unknown number be x∴
3x - 10 = 23
Collect like terms
3x = 23 + 10
3x = 33
Divide both sides by 3
\(\mathbf{\dfrac{3x}{3}= \dfrac{33}{3}}\)
x = 11
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Which graph represents the function y=-(x-2)²+3?
Answer:
Graph D
Step-by-step explanation:
the bottom right graph represents the function y=-(x-2)²+3. I put it in a graphing calculator soo
How many 3/8 are in 5/4
Answer:20
Step-by-step explanation:
Use the properties of logarithms to expand and simplify the expression ?
Using the following properties:
\(\begin{gathered} \log _z(x)^y=y\log _z(x) \\ \log _z(\frac{x}{y})=\log _z(x)-\log _z(y) \\ \sqrt[z]{x^y}=x^{\frac{y}{z}} \\ \log _z(x\cdot y)=\log _z(x)+\log _z(y) \end{gathered}\)so:
\(\begin{gathered} \log _{12}(\sqrt[3]{\frac{12+x}{144x}})=\log _{12}(\frac{12+x}{144x})^{\frac{1}{3}}=\frac{1}{3}\log _{12}(\frac{12+x}{144x}) \\ \\ so\colon \\ \frac{1}{3}\log _{12}(\frac{12+x}{144x})=\frac{1}{3}\log _{12}(12+x)-\frac{1}{3}\log (144x) \\ \\ \frac{1}{3}\log _{12}(12+x)-\frac{1}{3}\log (144x)=\frac{1}{3}\log _{12}(12+x)+\frac{1}{3}\log (144)-\frac{1}{3}\log _{12}(x) \end{gathered}\)Therefore, the answer is:
\(\log _{12}(\sqrt[3]{\frac{12+x}{144x}})=\frac{1}{3}\log _{12}(12+x)+\frac{2}{3}-\frac{1}{3}\log _{12}(x)\)Please solve this
∫ (log(1 + x ^ 2))/((x + 1) ^ 2) dx
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
We have,
To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.
Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:
∫ (log(1 + (u-1)²) / u²) du.
Expanding the numerator, we have:
∫ (log(1 + u² - 2u + 1) / u²) du
= ∫ (log(u² - 2u + 2) / u²) du.
Now, let's split the logarithm using the properties of logarithms:
∫ (log(u² - 2u + 2) - log(u²)) / u² du
= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.
We can simplify the second integral:
∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.
Using the power rule for integration, we can integrate both terms:
∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.
Now, let's focus on the second integral:
∫ (log(u) / u³) du.
This integral does not have a simple closed-form solution in terms of elementary functions.
It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).
Therefore,
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
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The points A, B, and C, shown on the number line, have weights 0.5, 0.3, and 0.2 respectively.
H
в с
2 3 4 5 6 7 8
9 10
Which statement is true about the weighted average, w, of the points A, B, and C?
w lies before A.
w lies beyond C.
w lies between A and B.
w lies between B and C.
Answer:
"w" (and any subsequent words) was ignored because we limit queries to 32 words.
w = 0.33 so, w lies before A, B, and C.
Option A is the correct answer.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
Average weight.
w = Sum of all the weight / 3
w = (0.5 + 0.3 + 0.2) / 3
w = 1/3
w = 0.33
Now,
A = 3, B = 6, and C = 7 on the number line.
0.33 lies before A, B, C
Thus,
w lies before A.
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