When you are given an equation for a function, it is important to know whether the function is increasing or decreasing. A function is said to be increasing if the value of the function increases as the input increases. Conversely, a function is said to be decreasing if the value of the function decreases as the input increases.
To determine whether a function is increasing or decreasing, you need to look at the sign of its first derivative. The first derivative of a function is the rate of change of the function with respect to its input. If the first derivative is positive, the function is increasing, and if it is negative, the function is decreasing. If the first derivative is zero, the function may have a local maximum or a local minimum.
To explain this in more detail, let's take the example of the function f(x) = x^2. To find the first derivative of this function, we need to differentiate it with respect to x. This gives us f'(x) = 2x. We can see that f'(x) is positive for x > 0, which means that the function f(x) = x^2 is increasing for x > 0. Similarly, f'(x) is negative for x < 0, which means that the function f(x) = x^2 is decreasing for x < 0.
In summary, to determine where a function is increasing or decreasing, you need to look at the sign of its first derivative. If the first derivative is positive, the function is increasing, and if it is negative, the function is decreasing. If the first derivative is zero, the function may have a local maximum or a local minimum.
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Identify the quadratic function(s). (Select all that apply). 3a - 7 = 2(7a - 3) y(y + 4) - y = 6 4b(b) = 0 (3x + 2) + (6x - 1) = 0
1.) [tex]y(y + 4) - y = 6[/tex] ✅Are Quadratic Functions.
2.) [tex](3x + 2) + (6x - 1) = 0[/tex] ❌ Not a Quadratic Function.
3.) [tex]4b(b) = 0[/tex] ✅ Are Quadratic Functions.
4.) [tex]3a - 7 = 2 (7a - 3)[/tex] ❌ Not a Quadratic Function.
Answer:
A & C
Step-by-step explanation:
Got It right on edge.
What is the tallest and shortest plant heights ?
In general, the tallest and shortest plant heights can vary widely depending on the species of plant being considered.
For example, some species of trees can grow over 300 feet tall, while certain species of mosses may only grow a few millimeters in height. The specific environmental conditions, such as the availability of water, sunlight, and nutrients, can also impact the growth and height of plants. Therefore, without more specific information, it is difficult to provide a more precise answer.
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Rita has $2,276 in an account that earns 14% interest compounded annually.
To the nearest cent, how much interest will she earn in 5 years?
Answer:
$1,593
Step-by-step explanation:
I=PRT
I=$2,276×14%×5
I=1,593.2 to nearest tenth
I=$1,593
a 10-segment trapezoidal rule is exact to find integrals of polynomials of order ________ or less
A 10-segment trapezoidal rule is exact to find integrals of polynomials of order 3 or less. Here's a step-by-step explanation:
1. The trapezoidal rule is a numerical integration method used to approximate the integral of a function.
2. It works by dividing the area under the curve of the function into a series of trapezoids and then summing their areas.
3. The number of segments (trapezoids) determines the accuracy of the approximation. In this case, we have 10 segments.
4. The trapezoidal rule is exact for polynomials of order 1 (linear functions) because the area under the curve of a linear function can be exactly represented by trapezoids.
5. However, the trapezoidal rule can also provide exact results for higher-order polynomials in certain cases. For a 10-segment trapezoidal rule, it turns out to be exact for polynomials of order 3 or less.
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The following dot plot shows the number of chocolate chips in each cookie that Shawn has. Each dot represents a different cookie.
Using the dot plot, it is found that a typical amount of chocolate chips in one of Shawn's cookies is around 4.56.
Dot plot:
The dot plot is a graph shows the number of times each measure appears in the data-set.
Researching this problem on the internet, the dot plot states that:
2 cookies have 2 chips.
2 cookies have 3 chips.
5 cookies have 4 chips.
4 cookies have 5 ships.
3 cookies have 6 ships.
2 cookies have 7 chips.
The mean is given by:
M = (2 x 2 + 2 x 3 + 5 x 4 + 4 x 5 + 3 x 6 + 2 x 7)/(2 + 2 + 5 + 4 + 3 + 2) = 4.56.
Hence, a typical amount of chocolate chips in one of Shawn's cookies is around 4.56.
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Correct Question:
The following dot plot shows the number of chocolate chips in each cookie that Shawn has. Each dot represents a different cookie.
Solve: -36 4/9 - (-10 2/9) - (18 2/9)
A solution to the given expression is -44 4/9.
How to evaluate and solve the given expression?In order to evaluate and solve this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right. Lastly, the mathematical operations of addition or subtraction would be performed from left to right.
Based on the information provided, we have the following mathematical expression:
-36 4/9 - (-10 2/9) - (18 2/9)
By opening the bracket, we have the following:
-36 4/9 + 10 2/9 - 18 2/9
By converting the mixed fraction into an improper fraction, we have the following:
-328/9 + 92/9 - 164/9
(-328 + 92 - 164)/9 = -44 4/9.
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6)y=4
help me please
Answer:
y = 4 is line parallel to x-axis. In that line, each point's y-co-ordinate is 4.
write x=
(-4 1)
(-5 0)
as a product X =E1E2E3 of elementary matrices.
E1 =
E2 = ,E3 =
We calculated x by multiplying the elementary matrices E1, E2, and E3:
x = E1E2E3 =
(1 0) (1 5) (-1/5 0)
(4 1) * (0 1) * (0 1) =
(-4 1)
(0 -1)
What is matrix?A matrix is a set of numbers that are arranged in rows and columns. Rows and columns are not always present in all matrices since some of them do not follow the same rule.
To express x as a product of elementary matrices, we need to perform elementary row operations on the identity matrix until we obtain x.
Starting with the 2x2 identity matrix:
I = (1 0)
(0 1)
We can perform the following row operations to obtain x:
1. Add 4 times the first row to the second row:
E1 = (1 0)
(4 1)
I * E1 = (1 0)
(4 1)
2. Add 5 times the second row to the first row:
E2 = (1 5)
(0 1)
(I * E1) * E2 = (1 5)
(0 1)
3. Multiply the first row by -1/5:
E3 = (-1/5 0)
(0 1)
((I * E1) * E2) * E3 = (-4 1)
(0 -1)
Therefore, we have expressed x as the product of the elementary matrices E1, E2, and E3:
x = E1E2E3 =
(1 0) (1 5) (-1/5 0)
(4 1) * (0 1) * (0 1) =
(-4 1)
(0 -1)
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Suppose a researcher were to take repeated random samples of size n=144 from the population described in the previous question, calculating the mean level of education in the sample each time. In what range would 95% of the sample means fall? Now suppose the researcher has just one sample of size n=144 and does not know the true mean or standard deviation of education in the population. In the sample, the standard deviation of education is 2.4 and the mean is 12.35 years. Construct and provide the 95% confidence interval around the sample mean. Is the true population mean contained in this interval?
The true population mean of 12.5 years falls within this interval, we can say with 95% confidence that the true population mean is contained in this interval.
As the population in the previous question is normally distributed with a mean of 12.5 years and a standard deviation of 2 years, the standard error of the mean (SEM) can be calculated as:
SEM = standard deviation / sqrt(sample size) = 2 / sqrt(144) = 0.17
Therefore, the 95% confidence interval for the sample mean can be calculated as:
sample mean ± 1.96 * SEM
= 12.35 ± 1.96 * 0.17
= [12.02, 12.68]
This means that if the researcher were to take repeated random samples of size 144 from the population and calculate the mean level of education in each sample, 95% of those sample means would fall within the range of 12.02 to 12.68 years.
Now, for the second part of the question, the 95% confidence interval for the population mean can be constructed as:
sample mean ± (critical value * SEM)
where the critical value for a 95% confidence interval with 143 degrees of freedom is 1.98 (obtained from a t-distribution table).
Therefore, the 95% confidence interval for the population mean is:
12.35 ± (1.98 * (2.4 / sqrt(144)))
= [12.00, 12.70]
Since the true population mean of 12.5 years falls within this interval, we can say with 95% confidence that the true population mean is contained in this interval.
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Question 47 of 50
Which best describes the relationship between the line that passes through the points (1.-
6) and (3,-2) and the line that passes through the points (4,8) and (6, 12)?
OA. neither perpendicular nor parallel
OB. parallel
OC. same line
OD. perpendicular
2 Points
Reset Selection
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and does not end
The linear equations are parallel.
Which is the relation between the lines?To find the relation between the lines we need to find the slopes.
To find the slope of the lines we take the quotient between the difference in the y-values and the x-values.
For the points (1, -6) and (3,-2) the slope is:
a = (-2 + 6)/(3 - 1) = 4/2 = 2
For the points (4,8) and (6, 12) the slope is:
a' = (12 - 8)/(6 - 4) = 4/2 = 2
The slopes are the same ones.
Now, the first line can be written as:
y = 2x + b
Replacing the values of the first point:
-6 = 2*1 + b
-6 - 2 = b
-8 = b
The line is y = 2x - 8
For the second line:
y = 2x + b'
We replace the point (4, 8) there:
8 = 2*4 + b'
8 = 8 + b'
0 = b'
This line is y = 2x
The lines have the same slope and different y-intercept, so the lines are parallel.
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can you help i'm stuck
The value of the output is independent of the value of the input.
How to determine what the graph indicate about the relationship between input and output?
In the graph, the input is the x value (x-axis) and the output is the y value (y-axis).
Looking at the graph, you notice the y values are constant (the same) while the x values changes.
What this means is that whatever the value of the input (x value), the value of the output (y value) will remain the same. That is the value of the output is independent of the value of the input.
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a gardener uses a total of 61.5 gallons of gasoline in one month. of the total amount of gasoline, was used in his lawn mowers. how many gallons of gasoline did the gardener use in his lawn mowers in the one month? to get credit, you must show all of your work. answers only will be counted as incorrect (whether it is correct or not!) question 4 options:
The gardener used 40.5 gallons of gasoline in his lawn mowers in the one month.
Let's say the amount of gasoline used in the lawn mowers is x gallons.
Then, the rest of the gasoline (61.5 - x) would have been used for other purposes.
Since the total amount of gasoline used is 61.5 gallons, we can set up an equation:
x + (61.5 - x) = 61.5
Simplifying this equation, we get:
x + 61.5 - x = 61.5
Combining like terms, we get:
61.5 = 61.5
This equation is true, so we know that our assumption that x is the amount of gasoline used in the lawn mowers is correct.
Therefore, the gardener used x = 40.5 gallons of gasoline in his lawn mowers in the one month.
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Find the diameter of circle O
The diameter of the circle is determined as 20.12 units.
What is the radius of the circle?The radius of the circle is calculated by applying the following formula as shown below;
The let the distance between 9 and center of the circle O = x
The radius of the circle, r = 9 + x --- (1)
Draw a line from circumference from point 10 to center O, this line is the radius = r
Apply Pythagoras theorem;
r² = 10² + x² ------ (2)
From the first equation, recall, r = 9 + x
(9 + x)² = 10² + x²
81 + 18x + x² = 100 + x²
81 + 18x = 100
18x = 100 - 81
18x = 19
x = 19/18
x = 1.06
The radius of the circle = 9 + x
r = 9 + 1.06
r = 10.06
The diameter of the circle = 2r
= 2 x 10.06
= 20.12 units
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PLS HELP ME ASAP PLS RN
I'm not sure if this is correct but 9560 (rectangle surface area) + 900 (triangle surface area) =10460...
DON'T TRUST ME ON THIS ONE CHECK IT YOURSELF BUT IM PRAYING FOR YOU
Answer: 21120
Step-by-step explanation:
Area for the rectangluar prism
A(Rect)= LA+2B
where LA,Lateral area = Ph P,Perimeter of base= 30+120+30+120 = 300
h, height =20
LA=300(20)=6000
B,area of base=(30)(120)=3600
A(rect)=LA+2B=6000+2(3600)
=13200
Area for triangular prism, turn on side so triangle is base(columned)
A(triangle) = LA+2B
LA= Ph Perimeter of triangle = 17+17+30=64 h=120
LA=(64)(120)=7680
B, the base is the triangle=1/2 bh where b =30 h=8
B=1/2 (30)(8)
=120
A(triangle)=7680+2(120) =7920
Add the 2 areas
A(total)=13200+7920=21120
A teacher gave a 5 question multiple choice
quiz. Each question had 4 choices to select
from. If the a student completely guessed
on every problem, what is the probability
that they will have less than 3 correct
answers? (CDF)
A)0.896
B)0.088
C)0.984
D)0.264
Pete’s plumbing was just hired to replace the water pipes in the Johanssons house Pete has two types of pipes he can use a pipe with a radius of 8cm or a pipe with a radius of 4cm the 4 cm pipes are less expensive than the 8cm pipes for Pete to buy so Pete wonders if there are a number of 4cm pipes he could use that would give the same amount of water to the Johanssons house as one 8cm pipe
Four 4cm pipes would give the same amount of water as one 8cm pipe.
We have,
The volume of water that can flow through a pipe is directly proportional to the cross-sectional area of the pipe, which is proportional to the square of its radius.
The area of the 8cm pipe is A1 = π(8cm)²
= 64π cm².
Let x be the number of 4cm pipes that would be needed to replace the 8cm pipe.
The area of one 4cm pipe is A2 = π(4cm)² = 16π cm².
Therefore, the area of x 4cm pipes is Ax = x(16π) = 16xπ cm².
We want to find the value of x such that Ax = A1.
That is, 16xπ = 64π
Solving for x, we get:
x = (64π) / (16π) = 4
Therefore,
Four 4cm pipes would give the same amount of water as one 8cm pipe.
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how do you find 25 percent of 1,000
Answer:The 25 percent of 1000 is equal to 250. It can be easily calculated by dividing 25 by 100 and multiplying the answer with 1000 to get 250.
Step-by-step explanation:
Help please and thank you for your help! :)
The volume of the triangular prism is given as follows:
V = 88.13 cm³.
How to calculate the volume?The volume of a triangular prism is given as half the multiplication of the dimensions of the triangle, as follows:
V = 0.5 x l x w x h.
The dimensions of the triangle in this problem are given as follows:
3 cm, 5 cm and 11.75 cm.
Hence the volume of the prism is given as follows:
V = 0.5 x 3 x 5 x 11.75
V = 88.13 cm³.
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The blueprint for a circular gazebo has a scale of 2 inches = 5 feet. The blueprint shows that the gazebo has a diameter of 5. 1 inches. What is the actual diameter of the gazebo? What is its area?
The area of the gazebo is approximately 127.23 square feet.
To find the actual diameter of the gazebo, we need to use the scale of 2 inches = 5 feet. This means that for every 2 inches on the blueprint, the actual distance is 5 feet. Therefore, we can set up a proportion:
2 inches / 5 feet = 5.1 inches / x
where x is the actual diameter of the gazebo.
Solving for x, we get:
x = (5.1 inches * 5 feet) / 2 inches
x = 12.75 feet
So the actual diameter of the gazebo is 12.75 feet.
To find the area of the gazebo, we need to use the formula for the area of a circle:
A = π[tex]r^2[/tex]
where r is the radius of the circle. Since we know the diameter is 12.75 feet, the radius is half of that:
r = 12.75 feet / 2
r = 6.375 feet
Now we can plug in the radius to the formula for the area:
A = π(6.375 feet[tex])^2[/tex]
A = 127.23 square feet
So the area of the gazebo is approximately 127.23 square feet.
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15 PTS!!!!! PLS HURRY
From the two column proof below we have been able to show that:
WZ bisects ∠YWX
How to complete the two column proof?A two-column proof uses a table to present a logical argument and assigns each column to do one job, and then the two columns work in lock-step to take a reader from premise to conclusion.
The two column proof here is:
Statement 1: WY ≅ WX, zy ≅ zx
Reason 1: Given
Statement 2: ∠WYX ≅ ∠WXY, ∠3 ≅ ∠4
Reason 2: Base angles of Isosceles triangles are congruent
Statement 3: m∠WYX = m∠WXY
Reason 3: Measures of congruent angles are equal
Statement 4: m∠WYX = m∠6 + m∠3: m∠WXY = m∠5 + m∠4
Reason 4: Angle Addition Postulate
Statement 5: m∠6 + m∠3 = m∠5 + m∠4
Reason 5: Substitution
Statement 6: m∠6 + m∠3 = m∠5 + m∠3
Reason 6: Substitution
Statement 7: m∠6 = m∠5
Reason 7: Subtraction Property of equality
Statement 8: ΔWYZ ≅ ΔWXZ
Reason 8: SAS
Statement 9: ∠YWZ ≅ ∠XWZ
Reason 9: Corresponding parts of congruent triangles are congruent.
Statement 10: WZ bisects ∠YWX
Reason 10: Definition of angle bisector
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HELP PLEASE 100 POINTS!!!
Answer:
56.52 units³-------------------------------
Volume of cylinder formula:
V = πr²hWe are given values:
π = 3.14, r = 3 units,h = 2 units.Substitute and calculate the volume:
V = 3.14*3²*2 = 56.52 units³PLS HELP ASAP THANKS
The form of the following quadratic include the following: D. not a quadratic.
What is the general form of a quadratic function?In Mathematics and Geometry, the standard or general form of a quadratic function can be modeled and represented by using the following quadratic equation;
y = ax² + bx + c
Where:
a and b represents the coefficients of the first and second term in the quadratic function.c represents the constant term.Mathematically, the vertex form of a quadratic equation is given by this formula:
f(x) = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.Additionally, the intercept form of a quadratic equation is given by this formula:
f(x) = a(x - p)(x - q)
In conclusion, we can logically deduce that the given expression is a polynomial function.
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which of the following statements about histograms are true? multiple choice a histogram is used to display qualitative data. the bars are drawn adjacent to each other because the data is continuous. the heights of the bars represent relative class frequencies. a histogram has gaps between the bars.
The statement "the heights of the bars represent relative class frequencies" is true. The correct answer is C.
A histogram is a graphical representation of the distribution of numerical data. It is commonly used to display the frequency distribution of continuous data in a graphical form.
The horizontal axis of the histogram represents the range of values of the variable being measured, and this range is divided into equal intervals called bins. The vertical axis represents the frequency, or the number of times a value appears in each bin.
The statement "the heights of the bars represent relative class frequencies" is also true. In a histogram, the height of each bar represents the frequency or count of data points that fall within each bin. This height is proportional to the frequency of data points within each bin, and it is often normalized to show the relative frequency of each bin.
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A line plot has a range of 4, from 1 to 5, with 5 modes. How would you describe the graph?
A. There is not enough information.
B. The data is clustered around 3.
C. Each column will be the same height.
D. The graph has an outlier.
Answer:
The answer to your problem is C. Each column will be the same height.
Step-by-step explanation:
If the mode will refers to the most occurring number.
And shown there are five within a data set that is 4 wide, so there will be 5 columns of equal length.
Thus the answer to your problem is, C. Each column will be the same height.
Out of 400 people sampled, 248 preferred Candidate A. Based on this, estimate what proportion of the entire voting population (p) prefers Candidate A. Use a 95% confidence level, and give your answers as decimals, to three places. < pp
The 95% confidence interval, we can estimate that the proportion of the entire voting population (p) that prefers Candidate A is between 0.572 and 0.668, expressed as decimals to three places
To estimate the proportion (p) of the entire voting population that prefers Candidate A, we'll use the information provided and calculate the 95% confidence interval. Here are the steps:
1. Calculate the sample proportion (p_hat): Divide the number of people who preferred Candidate A (248) by the total number of people sampled (400).
p_hat = 248 / 400 = 0.62
2. Determine the confidence level (95%) and find the corresponding z-score. For a 95% confidence level, the z-score is 1.96.
3. Calculate the margin of error (ME) using the formula:
[tex]ME = z-score \sqrt{\frac{(p_hat)(1-p_hat)}{n} }[/tex]
[tex]ME = 1.96 \sqrt{\frac{0.062(1-0.62)}{400} }[/tex]
ME = 0.048
4. Calculate the 95% confidence interval:
Lower bound = p_hat - ME = 0.62 - 0.048 =0.572
Upper bound = p_hat + ME = 0.62 + 0.048= 0.668
Based on the 95% confidence interval, we can estimate that the proportion of the entire voting population (p) that prefers Candidate A is between 0.572 and 0.668, expressed as decimals to three places.
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(a) Find the values of det(M21), det(M22), and det(M23). (M21, M22, M23 are minors)
(b) Find the values of A21, A22, and A23. (A21, A22, A23 are cofactors)
(c) Use your answers from part (b) to compute det(A)
For a matrix, [tex]A = \begin{bmatrix} 3 & 2& 4 \\ 1& -2& 3\\ 2 &3 &2 \end{bmatrix}\\[/tex]
a) The value of det(M₂₁), det(M₂₂), and det(M₂₃) are -8, -2 and 5 respectively.
b) The values of cofactors of matrix A, A₂₁, A₂₂ and A₂₃ are 8, -2 and -5 respectively.
c) The computed value of determinant, det(A) is equals to -3.
Matrix is a set of elements arranged in rows and columns in order to form a rectangular array. We have a matrix A, defined as [tex]A = \begin{bmatrix} 3 & 2& 4 \\ 1& -2& 3\\ 2 &3 &2 \end{bmatrix}\\[/tex]
We have to determine the following values :
a) The minor of matrix is exist for each element of matrix and is equal to the part of the matrix remained after removing the row and the column containing. First we determine the value Minors and then their determinant. [tex]M_{21} = \begin{bmatrix} 2& 4 \\ 3& 2\\ \end{bmatrix}\\[/tex]
det(M₂₁ ) = | M₂₁ | = 2× 2 - 4× 3 = - 8
[tex]M_{22} = \begin{bmatrix} 3& 4 \\ 2& 2\\ \end{bmatrix}\\[/tex]
det(M₂₂) = | M₂₂| = 2× 3 - 4× 2 = - 2
[tex]M_{23} = \begin{bmatrix} 3& 2 \\ 2& 3\\ \end{bmatrix}\\[/tex]
det(M₂₃ ) = | M₂₃ | = 3×3 - 2×2= 5
b) The value of cofactors of matrix A are A₂₁ = (-1)²⁺¹ M₂₁
= -(-8) = 8
A₂₂ = (-1)²⁺² M₂₂ = -2
A₂₃ = (-)²⁺³ M₂₃ = -5
c) Now, we determine the value of determinant of matrix A from part (b).
det(A) = a₂₁ A₂₁ + a₂₂ A₂₂ + a₂₃ A₂₃
= 1× 8 - 2 (-2) + 3( -5)
= -3
Hence, required value is -3.
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Complete the table below to create a different dot plot with the same mean as the dot plot on the top. Practice 7.8.09
The evaluation of the dot plots on the top indicates that the mean is 7.5
The table to create a different dot plot with the same mean as the dot plot on top is therefore;
Value [tex]{}[/tex] Frequency
4 [tex]{}[/tex] 2
6 [tex]{}[/tex] 3
8 [tex]{}[/tex] 3
10 [tex]{}[/tex] 4
What is a dot plot?A dot plot is a data visualization method which consists of datapoints located above a number line, such that the number of dots at a datapoint represents the data value.
The mean of the dot plot can be found as follows;
Mean = (3 + 2 × 5 + 4 × 7 + 3 × 9 + 2 × 11)/(1 + 2 + 4 + 3 + 2) = 7.5
Therefore, the sum of the values = (3 + 2 × 5 + 4 × 7 + 3 × 9 + 2 × 11) = 90
The number of dots = (1 + 2 + 4 + 3 + 2) = 12
The required dot plot should therefore, have 12 dots
A possible combination of 12 dots that have a mean of 12 is therefore;
(2 × 4 + 3 × 6 + 3 × 8 + 4 × 10)/(2 + 3 + 3 + 4)
Therefore, one possible dot plot consists of 2 dots at 4, 3 dots at 6, 3 dots at 8, and 4 dots at 10 can be presented as follows;
[tex]{}[/tex] o
[tex]{}[/tex] o o o
o[tex]{}[/tex] o o o
[tex]{}[/tex][tex]{}[/tex] o o o o
-|----|--------|--------|--------|--------|--------|-
[tex]{}[/tex] 1 2 4 6 8 10
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a construction worker is using the coordinate grid to show the length of the wall inside a house one end of the wall will be at 5,6 the wall will be 4 units long which point could be the location of the other end of the wall.
The point that could be the location of the other end of the wall will be (0, 5).
How to explain the pointBy using one or more elements or coordinates, a reference frame can properly pinpoint location alongside other mathematical components on such space, including Euclidean space.
A point or object in a two-dimensional plane can be found by utilizing its coordinates, which appear to be sets of integers. The y and x vectors can be used to identify the position of a point on a double surface. a group of photos used to identify certain areas.
In conclusion, the point that could be the location of the other end of the wall will be (0, 5).
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For the function f (x) = 5 - 7x, find the difference quotient .
A shelf using 2 boards she found the 1st board is 7⁄10 of a meter long the second board is 23/100 of a Meter long what is the Combine Lenght in meters of the 2 boards
The combined length of two boards is 93/100 or 0.93 of a meter based on the length of two boards.
The combined length of the two boards will be calculated by finding sum of their lengths. The formula that will form is -
Combined length = length of first board + length of second board
Keep the values in formula
Combined length = 7/10 + 23/100
Solving the sum
Total length = (7×10) + 23/100
Solving the parenthesis
Combined length = (70 + 23)/100
Performing addition
Total length = 93/100
Thus, the combined length of the shelf is 93/100 of a meter.
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