there were 135 wagons in two station together.
after they moved 45 wagon from the first station to the second station, and 36 wagon from the second station to the first station,
it turned out, that now there were
1 1/2 (3/2) times more wagons in first station, than in second station.
question: how many wagons were on each station in the beginning?
(I need detailed answer please, and I'll mark u as brainliest )
Answer:
\(The\ number\ of\ wagons\ on\ Station\ A\ at\ the\ beginning\ = 90\\ The\ number\ of\ wagons\ on\ Station\ B\ at\ the\ beginning\ =45\)
Step-by-step explanation:
\(We\ are\ given:\\Total\ no.\ of\ wagons\ in\ both\ the\ stations=135\ wagons\\Now,\\Let\ both\ the\ stations\ be\ denoted\ as\ Station\ A\ and\ Station\ B.\\\\Let\ the\ number\ of\ wagons\ on\ Station\ A\ at\ the\ beginning\ be\ x\\Let\ the\ number\ of\ wagons\ on\ Station\ B\ at\ the\ beginning\ be\ y\\Hence,\\We\ are\ also\ given\ that,\\Number\ of\ wagons\ that\ removed\ from\ Station\ A=45\\Number\ of\ wagons\ that\ were\ added\ to\ Station\ A=36\\Similarly,\\\)
\(Number\ of\ wagons\ that\ removed\ from\ Station\ B=36\\Number\ of\ wagons\ that\ were\ added\ to\ Station\ B=45\\Hence,\\The\ final\ number\ of\ wagons\ in\ Station\ A=x-45+36=x-9\\The\ final\ number\ of\ wagons\ in\ Station\ B=x+45-36=y+9\\Now,\\As\ we\ already\ know,\\No.\ of\ wagons\ in\ Station\ A\ at\ the\ beginning\\ +No.\ of\ wagons\ in\ Station\ B\ at\ the\ beginning=135\\Hence,\\x+y=135\\y=(135-x)\\Hence,\\The\ final\ number\ of\ wagons\ in\ Station\ B=y+9=(135-x)+9=(144-x)\)
\(We\ are\ also\ given\ that,\\Final\ number\ of\ wagons\ in\ Station\ A=\frac{3}{2}* Final\ number\ of\ wagons\\ in\ Station\ B\\Hence,\\(x-9)=\frac{3}{2}*(144-x)\\By\ simplifying:\\2(x-9)=3(144-x)\\2x-18=432-3x\\3x+2x=432+18\\5x=450\\x=\frac{450}{5}=90\\Hence,\\The\ number\ of\ wagons\ on\ Station\ A\ at\ the\ beginning\ = x=90\\ The\ number\ of\ wagons\ on\ Station\ B\ at\ the\ beginning\ =y=(135-x)=(135-90)=45\)
Please could someone correct this question and give me the explanation and example please
Answer:
Answer: I do not know the answer
Step-by-step explanation:
Point C(6,-2)is dilated from the origin by scale factor r =3/4.what are the coordinates of point c
the coordinates of point c is (9/2, -3/2)
Explanation:The original coordinate = C(6, -2)
scale factor r =3/4
New coordinate (c) = scale factor × the original coordinate
c = 3/4(6, -2)
c = (3/4×6, -2×3/4)
c = (18/4, -6/4)
c = (9/2, -3/2)
Hence, the coordinates of point c is (9/2, -3/2)
Multiple Choice An equation of the line
whose slope is – 6 and whose y-intercept is 9
is ? ?
A y = -9x – 6 ( B y = 9x – 6
c) y = -6x - 9 D y = 6x - 9
E y = -6x + 9
Answer: answer is E
Step-by-step explanation: because it slope is -6(x) and intercept is (+)9
find the probability that a point randomly chosen is black⬛️⬜️⬜️⬜️⬛️⬜️⬜️⬜️⬛️
Probability is the likelihood or chance of an event occurring.
In the given grid, there are 4 black points out of a total of 9 points.
Therefore, the probability of selecting a black point randomly is:
P(black) = Number of black points / Total number of points
= 4 / 9
= 0.444 or 44.4% (rounded to one decimal place)
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When leaving from the port station at sea level, the Carmelit funicular travels 5,658 feet horizontally along a slope of 14.6/94.3. What is the elevation of the top station?
Answer: 876 feet
Step-by-step explanation:
Given
Carmelit travels 5658 feet horizontally
The slope of trajectory is \(\dfrac{14.6}{94.3}\)
We know, the slope is
\(\Rightarrow \text{slope}=\frac{\text{Vertical distance}}{\text{horizontal distance}}\\\\\Rightarrow \dfrac{14.6}{94.3}=\dfrac{Y}{5658}\\\\\Rightarrow Y=876\ feet\)
Hence, the elevation of the top station is 876 feet
Determine the scale factor.
Pre-Image: (-5, 3), (-2, 3), (-2, 1), (-5, 1)
Image: (-10, 6), (-4, 6), (-4, 2), (-10, 2)
The required scale factor with respect to the pre-image and image is equal to 2.
What is scale factor?In Geometry, a scale factor is the ratio of two corresponding side lengths or diameter in two similar geometric figures, which can be used to either vertically or horizontally enlarge or reduce a function representing their size.
In Mathematics, the scale factor of any geometric figure can be calculated by using this mathematical expression:
Scale factor = Dimension of image/Dimension of pre-image
Substituting the given parameters into the scale factor formula, we have the following;
Scale factor = -10/-5 = -4/-2
Scale factor = 2.
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When talking about a linear relationship slope and the rate of change is the really same thing -TRUE OR FALSE
suppose that p is the proposition ""it is not snowing."" which of the following propositions would be equivalent to not-p?
There are various ways to represent the negation of a statement, or proposition p. One possible method is to use the symbol ~. Therefore, the negation of proposition p would be represented as ~p.
Similarly, if the proposition p is defined as "it is not snowing," then the negation of p, or not-p, would be represented as ~p or "it is snowing." This is because the negation of "it is not snowing" is "it is snowing."Thus, the equivalent proposition of not-p is "it is snowing." In summary, the negation of any statement p is a proposition that is the opposite of p. The negation of "it is not snowing" would be "it is snowing."Long explanation:For any statement p, there are different ways to express its negation or opposite. One way is to use the logical negation symbol, which is ~.
If p is the proposition "it is not snowing," then the negation of p or not-p would be represented as ~p or "it is snowing." This is because the negation of a negative statement is a positive statement. For instance, if we negate the statement "I am not happy," the result would be "I am happy." Likewise, if we negate the statement "it is not snowing," we would obtain "it is snowing."Therefore, the equivalent proposition to not-p is "it is snowing." This is because not-p is the negation of p, which means that it is the opposite of p. Since p is "it is not snowing," then not-p would be "it is snowing."
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WILL GIVE BRAINLIEST!!
A line has a slope of 1/3 and passes through the point (–9, –3). What is its equation in slope-intercept form?
Answer:
y = \(\frac{1}{3}\) x
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here slope m = \(\frac{1}{3}\) , then
y = \(\frac{1}{3}\) x + c ← is the partial equation
to find c substitute (- 9, - 3) , that is x = - 9, y = - 3 into the partial equation
- 3 = \(\frac{1}{3}\) (- 9) + c = - 3 + c ( add 3 to both sides )
0 = c
y = \(\frac{1}{3}\) x + 0 , that is
y = \(\frac{1}{3}\) x
A graph of a linear function is shown on the grid. Which of these best represents 0 of the function? A 8. B 10. C 16. D 24.
answer:
C. 16
explanation:
when x is 0, the y-intercept is 8
coordinates: (0,8) and (4,6)
slope:
\(\sf \frac{y2-y1}{x2-x1}\)
\(\sf \frac{6-8}{4-0}\)
\(\sf \frac{-2}{4}\)
\(\sf -\frac{1}{2}\)
equation:
\(\sf y = mx +b\) [ where m is slope and b is y-intercept ]
\(y = \sf -\frac{1}{2}x +8\)
solve for x-intercept:
note: zeros of a function are the values of x when f(x) is equal to 0
\(y = \sf -\frac{1}{2}x +8\)
\(0= \sf -\frac{1}{2}x +8\)
\(-8= \sf -\frac{1}{2}x\)
\(\sf x = -8 * -2\)
\(\sf x = 16\)
Answer:C 16.
Step-by-step explanation:
its 16
To increase usability in a spreadsheet, use comments, descriptive labels and?
To increase usability in a spreadsheet, you can use comments, descriptive labels, and data validation.
To increase usability in a spreadsheet, you can utilize the following techniques:
1. Comments: Comments allow you to add explanatory notes or instructions within cells. They can provide additional context or clarify the purpose of certain data or formulas. Users can view comments by hovering over the respective cell, making it helpful for collaboration and documentation.
2. Descriptive Labels: Instead of relying solely on cell references or generic labels, use descriptive labels that clearly indicate the purpose of each column, row, or range of cells. This approach enhances readability and makes it easier for users to understand the data and navigate through the spreadsheet.
3. Data Validation: Implement data validation rules to ensure the accuracy and integrity of the data entered into the spreadsheet. Data validation allows you to define constraints or conditions for input, such as numeric ranges, predefined lists, or specific text formats. It helps prevent errors and assists users in entering valid data.
4. Formatting: Properly formatting the cells, columns, and rows can greatly enhance usability. Use consistent formatting for similar types of data, apply color schemes or conditional formatting to highlight important information or trends, and adjust the column widths and row heights to optimize readability.
5. Sheet Organization: Organize the spreadsheet by using multiple sheets if needed. Group related information on separate sheets, and provide clear sheet names that reflect the content or purpose of each sheet. This helps users locate and navigate to specific sections or data within the spreadsheet.
6. Clear Instructions or Documentation: Provide clear instructions or documentation either within the spreadsheet or as separate documentation. Explain the purpose of the spreadsheet, any specific procedures or workflows, and how to interpret the data or use any embedded formulas or macros. This helps users understand the spreadsheet's functionality and ensures consistent usage.
7. Error Handling: Implement error handling mechanisms to provide informative error messages or alerts when users input incorrect or incompatible data. Clear error messages guide users in correcting their input and reduce frustration when dealing with potential errors.
By incorporating comments, descriptive labels, data validation, formatting, sheet organization, clear instructions/documentation, and error handling, you can significantly enhance the usability of your spreadsheet and make it more user-friendly for both yourself and others who interact with it.
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PLEASE HELP solve for X, 12x-72, 3x-3
Answer:
12x-72
x=8
3x-3
x=-3
Step-by-step explanation:
Which expression is equivalent to 6(3h + g) ?
Group of answer choices
9h + g
18h + 6g
9h + 6g
18h + g
Answer:
18h × 6g is equivalent to 6(3h + g)
because 6 x 3 = 18 and 6 x 1 = 6
Solve the equation 6(3x + 4) = 4x -4.
10
7
0x = -2
Ox=2
BRAINLIEST
A spinner has four lettered sections. The table shows the results of an experiment spinning the pointer.
Find the probability of spinning a R. You must write your answer as a fraction.
-table-
Answer:
one half
because if you times it you will get the fraction
Answer:
one half
Step-by-step explanation:
u can multiply it that u will get it answer
Help please math what is the inverse of the function
I hope this helps you
The independent variable is:a. the variable you hope to observe in an experiment.b. the variable you change in an experiment.c. the variable that isn't changed in an experiment.d. none of the above
The independent variable is the variable you change in an experiment. Therefore, option B is the correct answer.
What is the independent variable?
The experiment's independent variable is defined as the variable that is purposefully modified or controlled. It is the variable being studied during a study to determine how it affects the dependent variable. The dependent variable, on the other hand, is the variable that is being measured or observed in response to the changes made to the independent variable.
The purpose of an experiment is to test a hypothesis. A hypothesis is a statement that predicts an outcome based on some assumptions. The researcher manipulates the independent variable and observes the effect on the dependent variable to test a hypothesis. The hypothesis is supported if changes in the independent variable produce changes in the dependent variable. The theory is rejected if changes in the independent variable do not result in changes in the dependent variable.
Therefore, option B is the correct answer.
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Jenny says the when you multiply any whole number by a fraction, the product is always less than the whole number. Do agree with Jenny Why or Why not? if no, provide an example
Answer: When multiplying a whole number by a PROPER fraction (always less then 1), the product is always less than a whole number. So yes, i agree with jenny when using proper fractions.
How many times do you have to regroup in 778-168
Answer:
You wouldn't have to regroup at all
Step-by-step explanation:
8-8 is 0 no regrouping there. 7-6 is 1 no regrouping there. 7-1 is 6 no regrouping there. Answer is 610 as well
3. A linear quadrupole is a series of three charges in a line, in this case, along the z-axis. Consider charges +Q at z=±D and charge −2Q at z=0. Find an exact expressoin for the electrostatic potential at a point P in the x,y-plane at a distance r from the center of the quadrupole. (Hint: it may be easier to find V(x) on the x axis and then use symmetry to argue that you can switch from x to r.)
The exact expression for the electrostatic potential at a point P in the x, y plane at a distance r from the center of the quadrupole is given by V(r) = k [Q/(r2 + D2)1/2 – Q/[(r2 + 2d + D2)1/2]] + k [-2Q/D].
Let's consider that three charges are placed in a straight line along the z-axis, and the charges are +Q on z=+D, -Q on z=-D, and -2Q at z=0.
To find the electrostatic potential at a point P in the x, y plane at a distance r from the center of the quadrupole, let's proceed with the following steps:
To find the electrostatic potential at a point P in the x-axis, we need to consider that the distance from the charges that are on the axis is r, and the distance from the charges that are on the axis and are at +D and -D is d.
The distance from the charges on the axis and at 0 is x. Now we can write,
V(x) = k [Q/(x2 + D2)1/2 – Q/[(x + d)2 + D2]1/2] + k [-2Q/D].
Now, we can substitute the values in the above expression and obtain,
V(x) = k [Q/(x2 + D2)1/2 – Q/[(x + d)2 + D2]1/2] + k [-2Q/D] .
Now, we need to use symmetry to argue that we can switch from x to r, which is given by r2 = x2 + y2.
Thus, the exact expression for the electrostatic potential at a point P in the x, y plane at a distance r from the center of the quadrupole is given by V(r) = k [Q/(r2 + D2)1/2 – Q/[(r2 + 2d + D2)1/2]] + k [-2Q/D].
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11) Determine the length of the vector function F(t)= <3 - 4t, 6t, -(9+2t) > from-6 ≤ t≤ 8.
A) L = √56
B) L=-√56
C) L=-14√56
D) L = 14√56
The length of the vector function F(t) over the interval -6 ≤ t ≤ 8 is D) L = 14√56.
The length of the vector function F(t) = <3 - 4t, 6t, -(9 + 2t)> from -6 ≤ t ≤ 8, we need to calculate the integral of the magnitude of the derivative of F(t) with respect to t over the given interval.
The magnitude of a vector v = <x, y, z> is given by ||v|| = √(x² + y² + z²).
First, let's find the derivative of F(t):
F'(t) = <-4, 6, -2>
Next, let's find the magnitude of F'(t):
||F'(t)|| = √((-4)² + 6² + (-2)²)
= √(16 + 36 + 4)
= √56
Now, we can calculate the length of F(t) over the interval -6 ≤ t ≤ 8 by integrating ||F'(t)|| with respect to t:
L = ∫(√56) dt
= √56 ∫dt
= √56 × t + C
Evaluating the integral over the given interval:
L = √56 × t + C| (-6)⁸
= √56 × (8 - (-6))
= √56 × 14
= 14√56
Therefore, the length of the vector function F(t) over the interval -6 ≤ t ≤ 8 is 14√56.
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What is the area of the region in the first quadrant enclosed by the graphs y = cosx, y = x, and the y-axis?
0.127
0.385
0.400
0.600
0.947
The total area of the region in the first quadrant enclosed by the graphs y = cosx, y = x, and the y-axis is: 0.271 + 0.274 = 0.545
What is a graph?
In computer science and mathematics, a graph is a collection of vertices (also known as nodes or points) connected by edges (also known as links or lines).
To find the area of the region enclosed by the graphs y = cosx, y = x, and the y-axis in the first quadrant, we need to find the x-coordinates of the points where these graphs intersect.
At the intersection of y = cosx and y = x, we have:
cosx = x
Using numerical methods, we can find that there is a solution at x ≈ 0.739.
At the intersection of y = cosx and the y-axis, we have:
x = 0
At the intersection of y = x and the y-axis, we have:
x = 0
Therefore, the region in the first quadrant enclosed by the graphs y = cosx, y = x, and the y-axis can be divided into two parts: a triangular region and a curvilinear region.
The triangular region has base 0.739 and height 0.739, so its area is:
(1/2) * 0.739 * 0.739 = 0.271
The curvilinear region can be found by integrating y = cosx - x with respect to x from x = 0 to x = 0.739:
∫(cosx - x) dx = sinx - (1/2) x²
So the area of the curvilinear region is:
sin(0.739) - (1/2) * 0.739² = 0.274
Therefore, the total area of the region in the first quadrant enclosed by the graphs y = cosx, y = x, and the y-axis is:
0.271 + 0.274 = 0.545.
Therefore, the answer is not one of the given options.
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HELP ME PLS
1. Gio mows lawns for $25 each. He already has $250 in his bank account, but is trying to save $900. How many lawns will he need to mow to reach his goal?
2. Lani buys groceries at the store for $30.25. He spent $5.25 on apples, $3.25 on a box of crackers, and the rest on 3 pounds of lunch meat. How much did the lunch meat cost, in dollars per pound?
3. Sari is creating a dog run space in her backyard. She has 40 feet of fencing to go around the outside, and she wants to make it rectangular with a width of 8 feet. What will the length be, in feet?
4. Siara is baking biscuits for a bake sale. Each batch makes 75 biscuits, and her friend gives her another 60 biscuits. She ends up with 360 biscuits total for the bake sale. Use algebra to solve for how many batches she made.
5. Jose has a comic book collection that he keeps among 5 shelves with an equal number on each shelf. His father adds 20 comic books to the bottom shelf, so the shelf now has 125 books. How many total books are in his collection? Use algebra to solve the equation.
Answer:
Step-by-step explanation:
1. To reach his goal of $900, Gio will need to mow 900 - 250 = 650 dollars worth of lawns. Since each lawn mowing costs 25 dollars, he will need to mow 650 / 25 = 26 lawns.
2. The cost of the lunch meat was 30.25 - 5.25 - 3.25 = 22 dollars. Since there were 3 pounds of lunch meat, the cost per pound was 22 / 3 = 7.33 dollars.
3. Sari wants to create a rectangular dog run space with a width of 8 feet. Since the perimeter of the rectangle is 40 feet, the length of the rectangle must be 40 - 8 - 8 = 24 feet.
4. Let's call the number of batches Siara baked b. Siara's friend gave her 60 biscuits, so the total number of biscuits Siara baked is 360 - 60 = 300 biscuits. Since each batch makes 75 biscuits, Siara baked 300 / 75 = 4 batches.
5. Let's call the number of comic books on each shelf s. The total number of comic books in Jose's collection is 5 * s = 125 + 20 = 145 comic books. Therefore, s = 145 / 5 = 29 comic books. This means there are 29 comic books on each shelf, and Jose has a total of 29 * 5 = <<29*5=145>>145 comic books in his collection.
Write the equation for a parabola with a focus at (-4,3)(−4,3)left parenthesis, minus, 4, comma, 3, right parenthesis and a directrix at y=5y=5y, equals, 5.
An equation of the parabola with the given focus and directrix is (x - 4)² = -16(y - 1).
Given that, focus of a parabola at (-4,3) and a directrix at y = 5.
What is an equation of a parabola?A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line.
The general equation of a parabola is: y = a(x-h)² + k or x = a(y-k)² +h, where (h, k) denotes the vertex. The standard equation of a regular parabola is y² = 4ax.
The standard form of the equation of the parabola is (x - h)² = 4p(y - k), where
The vertex of the parabola is (h, k)
The focus is (h, k + p)
The directrix is at y = k - p
Here, the focus of the parabola is (4, -3)
The focus is (h, k + p)
So, h = 4
Then, k + p = -3 --------(1)
It has a directrix of y = 5
The directrix of the parabola is y = k - p
∴ k - p = 5 --------(2)
Add equations (1) and (2) to find k and p, that is
(k + k) + (p - p) = (-3 + 5)
⇒ 2k + 0 = 2
⇒ 2k = 2
Divide both sides by 2
k = 1
Substitute the value of k in equation (1), we get
1 + p = -3
Subtract 1 from both sides, we get
1 - 1 + p = -3 - 1
⇒ p = -4
Substitute the values of h=4, k=1 and p=-4 in (x - h)² = 4p(y - k), that is
(x - 4)² = 4(-4)(y - 1)
⇒ (x - 4)² = -16(y - 1)
Therefore, an equation of the parabola with the given focus and directrix is (x - 4)² = -16(y - 1).
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question the random variable x is exponentially distributed, where x represents the time it takes for a whale watcher to spot a whale. if x has an average value of 45 minutes, what is the probability that x is less than 45 minutes? round the final answer to three decimal places.
0.368 .
The probability that a random variable x is exponentially distributed and less than 45 minutes,
given that the average value is 45 minutes, is 0.368.
This can be calculated by taking the negative of the natural logarithm of 1/2 (i.e. -ln(0.5)) and dividing it by the average value of 45 minutes.
The result, -ln(0.5)/45, equals 0.368, rounded to three decimal places.
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(5-t-t^4)(9t+t^2)pls help
- ( t⁶ + 9t⁵ + t³ + 4t² - 45t )
Step-by-step explanation:Hi there !
(5 - t - t⁴)(9t + t²) =
= 45t + 5t² - 9t² - t³ - 9t⁵ - t⁶
= 45t - 4t² - t³ - 9t⁵ - t⁶
= - ( t⁶ + 9t⁵ + t³ + 4t² - 45t )
Good luck !
What is the distance between M(9, −5) and N(−11, 10)?
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{25 \: units}}}}}\)
Step-by-step explanation:
Let M ( 9 , -5 ) be ( x₁ , y₁ ) and N ( - 11 , 10 ) be ( x₂ , y₂ )
Finding the distance between these points
\( \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}\)
\( \longrightarrow{ \sf{ \sqrt{ {( - 11 - 9)}^{2} + {(10 - ( - 5))}^{2} } }}\)
\( \longrightarrow{ \sf{ \sqrt{ {( - 20)}^{2} + {(10 + 5)}^{2} } }}\)
\( \longrightarrow{ \sf{ \sqrt{ {( - 20)}^{2} + {(15)}^{2} } }}\)
\( \longrightarrow{ \sf{ \sqrt{400 + 225}}} \)
\( \longrightarrow{ \sf{ \sqrt{625}}} \)
\( \longrightarrow{ \sf{ \sqrt{ {(25)}^{2} } }}\)
\( \longrightarrow{ \sf{25 \: units}}\)
Hope I helped!
Best regards! :D
A professor counted the number of words students used to answer an essay question. Create a ranked frequency distribution of these data.
245 261 289 222 291 289 240 233 249 200
A ranked frequency distribution of data can be created by sorting the data in ascending or descending order and then counting the frequency of each value.
The given data set is 245, 261, 289, 222, 291, 289, 240, 233, 249, and 200. To create a ranked frequency distribution of this data set, we first need to sort it in ascending or descending order. Let's sort it in ascending order:200, 222, 233, 240, 245, 249, 261, 289, 289, 291 Next, we need to count the frequency of each value. We can do this by going through the data set and counting how many times each value occurs. Here is the frequency distribution table:Value Frequency 200 1222 1233 1240 1245 1249 1261 1289 2291 1 From this table, we can see that the most frequent value is 289, which occurs twice. We can also see that the least frequent values are 200, 222, 233, and 240, which each occur only once.
In conclusion, a ranked frequency distribution of data can be created by sorting the data in ascending or descending order and then counting the frequency of each value. This allows us to see which values are most and least frequent in the data set.
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Facts, statistics, numerical data, quotations, specific examples, and expert opinions that support a claim are called:reasonevidencerebuttalstructural element
The correct that refers Facts, statistics, numerical data, quotations, specific examples, and expert opinions that support a claim are called evidence.
The term numerical data refers the data which is in the form of numbers, and not in any language or descriptive form.
Here we have to find the suitable term for the statement "Facts, statistics, numerical data, quotations, specific examples, and expert opinions that support a claim are called".
While we have looking into the given statement, we have identified the following from it,
factsstatistics, numerical data, quotations, specific examples, and expert opinionsWhen we look into the meaning of each one we have identified that each of them are acted as the proof to prove the thing is liable.
So, all these things are collectively called as evidence.
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