A least squares regression line is one that best fits the linear relationship, and the answer is D. none of the above.
What is least squares regression line?A least-squares regression line, which minimizes the vertical distance between the data points and the regression line, is the line that best fits a linear relationship between two variables when the data indicates such a relationship. Because it is the smallest sum of squares of errors, also known as the "variance," the phrase "least squares" is used to describe it.
A east squares regression line is one that best fits the linear relationship.
Hence, none of the options given are correct and answer D. none of the above is the correct answer.
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What i the monthly fee for Jeica’ plan if he doe not end any text meage? Show your work
Answer:
can u screenshot the question then ill solve it!!
Step-by-step explanation:
1. 0= (x-3)(x+4)(x²-4)
Solve. Show your work please
Answer:
do u want the ans then see my mèsßage
HELP ASAP 50 POINTS!!!
Which inequality represents the graph below?
A.y>=5
B.x>=5
C.y<=5
D.x<=5
Answer:
y<=5
Step-by-step explanation:
A 24-hour digital clock shows the time in hours and minutes.
How many times in one day will it display all four digits 2, 0, 1 and 9 in some order?
Answer:
10
Step-by-step explanation:
All possible permutations except those that are not shown by the clock.
Eg:92:02
the function y(x) solves the initial value problem below. dy dx = x6 (y 2)2 y(0) = −1
The solution to the ODE dy/dx = x^6 * (y - 2)^2 with initial condition y(0) = -1 is a complicated expression involving the antiderivative of a complex function, which may not have a closed-form solution.
What is function ?
function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
1) Rewrite the ODE into a separable form:
dy/dx = x^6 * (y - 2)^2
2) Integrate both sides of the equation:
∫(dy/dx)dx = ∫x^6 * (y - 2)^2 dx
3) Solve for y on one side of the equation and integrate the other side:
y = 2 + √((C - ∫x^6 * (y - 2)^2 dx)/x^6)
where C is an arbitrary constant of integration.
4) Use the initial condition y(0) = -1 to find the value of C:
-1 = 2 + √((C - ∫0^0 * (y - 2)^2 dx)/0^6)
5) Solve for C:
C = (1 - 2)^2 = 1
6) Substitute C back into the solution for y:
y = 2 + √((1 - ∫x^6 * (y - 2)^2 dx)/x^6)
7) The solution y(x) is a complicated expression that involves the antiderivative of a complex function. It may not have a closed-form solution, but it can be approximated numerically using numerical methods.
The solution to the ODE dy/dx = x^6 * (y - 2)^2 with initial condition y(0) = -1 is a complicated expression involving the antiderivative of a complex function, which may not have a closed-form solution.
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Toula calculates the cost of cementing the bottom and sides of a circular pond. When all costs are considered, the job will cost $175.85 per square metre of finished area. if the pond has a radius of 3 feet and a depth of 2 feet, how much will she charge for the job?
Step-by-step explanation:
First, we need to calculate the area of the pond by using the formula for the area of a circle: πr^2, where r is the radius. In this case, the radius is 3 feet.
3^2 = 9
π * 9 = 28.27 square feet
Now, we need to find the volume of the pond to find the finished area by using the formula for the volume of a cylinder: πr^2h, where r is the radius, h is the height/depth.
28.27 * 2 = 56.54 cubic feet
Finally, we need to convert the square feet to square meters and multiply it by the cost per square meter.
56.54 square feet * 0.092903 square meters/square foot = 5.24 square meters
5.24 square meters * $175.85/square meter = $924.99.
So, the cost of cementing the bottom and sides of the circular pond would be $924.99
How long is 9 kilometers? How far is 9 kilometers in miles? 9 km to mi conversion.
9 kilometers represents the distance from one point to another point. 9 kilometers is equal to 5.59234073013601 miles.
What is the unit of distance?
Any arbitrarily selected and widely used reference standard for length measurement is referred to as a unit of length. The metric system, which is adopted by every nation on earth, is the most widely used in modern times. The American customary units are also in use in the United States.
The S.I. unit of distance is kilometers.
Given that the distance between the two points is 9 kilometers.
1 kilometer is equivalent to 0.621371 miles
9 kilometers is equivalent to 0.621371×9 miles
= 5.59234073013601 miles
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what is the acceleration at time 11.25 s?
The instantaneous acceleration at time t = 11.25 s is a = 8 m/s².
What is acceleration?
A definition of acceleration is the speed at which velocity varies with respect to time. Since acceleration has both a magnitude and a direction, it is a vector quantity. Additionally, it is the first derivative of velocity with respect to time or the second derivative of position with respect to time.
The graph for the acceleration points are given.
Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.
From graph instantaneous acceleration at time 11.25s is 8 m/s².
Therefore, the value is obtained as a = 8 m/s².
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(Theoretical Probability LC)
When given a set of cards laying face down that spell D, E, C, I, M, A, L, S, determine the probability of randomly drawing a consonant.
three sevenths
five sevenths
three-eighths
five-eighths
The probability of randomly drawing a consonant is 5/8
How to determine the probability of randomly drawing a consonant.From the question, we have the following parameters that can be used in our computation:
D, E, C, I, M, A, L, S,
In the above word, we have
Consonant = 5
Letters = 8
So, we have
Probability of consonant = 5/8
Hence, the required probability is 5/8
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Answer: the answer is 5/8
Step-by-step explanation:
If you use the 5 letters
Relative to ground level, a black garden ant digs -20 7/9 feet and a red harvester ant digs -20 39/50 feet.Which ant is closer to ground level?
The red harvester ant is closer to ground level.
What is Relative distance?The relative distance is defined as the product of the relative distance multiplied by the specified time. The relative distance unit is the same as the length unit.
Distance is typically defined as the amount of space between two locations that can be measured. In geography, a few different types of distance are used to explain not only the physical distance between two points but also the variations in distinct racial and ethnic groups, cultural traditions, political ideals, and social mores. A unique unit of measurement known as relative distance is used in geography to explain a variety of societal aspects.
As it has dug deeper (more negative) than the black garden ant. The number -20 39/50 is more negative than -20 7/9.
Therefore, The red harvester ant is closer to ground level.
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One of the questions asks you to measure the expected acceleration given: Expected acceleration = (5/7)gsin(θ) where g=9.8 m/s2.
The expected acceleration of an object is based on the acceleration due to gravity, which is a constant value of 9.8 m/s2. To calculate the expected acceleration, we use the equation: Expected acceleration = (5/7)gsin(θ), where θ is the angle at which the object is moving.
This equation takes into account the angle of the object and uses the acceleration due to gravity to calculate the expected acceleration. In this equation, the acceleration due to gravity is multiplied by a fraction, which is determined by the angle at which the object is moving. Therefore, the higher the angle at which the object is moving, the greater the expected acceleration.
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This is a new version of the question/Make sure you start new workings.
Which shapes below are similar to triangle T?
Choose all of the correct answers,
Watch video
E
Answer:
the answers are D and C they both look like triangle T
Answer:
B&F
Step-by-step explanation:
T bottom is 2 squares, side is 3 squares,
so we just need to look for all the shapes with multiples of 2 & 3
Count each, if base is 2 multiple by 2, 3, 4, etc.,
then side must be multiplied by the same
so only B & F satisfy this rule
The shape shown is made of centimetre cubes. Work out how many more centimetre cubes would need to be added to turn the shape into a solid 3x4x4 cuboid.
The number of cubes that would be needed to be added to turn the shape into a solid 3x4x4 cuboid would be = 24 cubes.
What is a cuboid?A cuboid is defined as the type of quadrilateral that has 6 faces, 8 vertices, and 12 edges.
The volume of the cuboid;
volume of the cuboid;= l×w×h
= 3x4x4
= 48cm³
The volume of each cube = 1cm×1cm×1cm
The number of cubes available= 24 cubes
Therefore the remaining cubes = 48-24 = 24 cubes.
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In a pizza retaurant, 72% of the cotumer order pepperoni pizza. Chooe 5 cotumer at random. Find The probability that all 5 cotumer order pepperoni pizza. The probability that at leat 1 doen’t order pepperoni pizza
The probability that all 5 customers order pepperoni pizza is 0.2457 and the probability that at least 1 customer doesn't order pepperoni pizza is 0.7543.
We can calculate the probability that all 5 customers order pepperoni pizza by multiplying the probability that each individual customer orders pepperoni pizza.
The probability of each customer ordering pepperoni pizza is 72%. Therefore, the probability that all 5 customers order pepperoni pizza is (0.72)^5 = 0.2457.
We can calculate the probability that at least 1 customer doesn't order pepperoni pizza by subtracting the probability that all 5 customers order a pepperoni pizza from 1.
Hence, The probability that at least 1 customer doesn't order pepperoni pizza is 1 - 0.2457 = 0.7543.
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Amar is saving for a trip to Costa Rica with his friends. He has estimated that his travel
expenses will cost between $1,800 and $2,400 total. He has $300 In savings, and he earns
$16.50 per hour at his job. He wants to know how many hours he must work to afford the
trip.
1.
Write an inequality to represent the situation.
The inequality for number of hours Aman worked
90.9 hour < h < 127.27 hour
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
Amar travel expenses will cost between $1,800 and $2,400 total.
He has $300 In savings, and he earns $16.50 per hour at his job.
let the number of hours be represented by h.
So, 300 + 16.5h = 1800
16.5h = 1500
h = 90.9
and, if the expense exceeds to $2400
300 + 16.5h = 2400
16.5h = 2100
h = 127.27
Thus, the inequality is
90.9 hour < h < 127.27 hour
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A rectangular oil painting is 14 inches wide and 24 inches long. A museum wants to create a larger print of the painting using a scale factor of 3.
Part A: What are the dimensions of the print, in feet? Show every step of your work. (2 points)
Part B: What is the area of the print, in square feet? Show every step of your work. (2 points)
Part A: 3.5x6 feet
14x3=42 24x3=72
42/12=3.5 72/12=6
Part B: 21 square feet
3.5x6=21
Part A: The dimensions of the print are 3.5 feet (width) and 6 feet (length).
Part B: The area of the print is 21 square feet.
We have,
Part A:
Width of the print: 14 inches * 3 = 42 inches
Length of the print: 24 inches * 3 = 72 inches
Convert inches to feet by dividing by 12.
Width of the print in feet: 42 inches / 12 = 3.5 feet
Length of the print in feet: 72 inches / 12 = 6 feet
Part B:
Area of the print:
= 3.5 feet * 6 feet
= 21 square feet
Therefore,
The dimensions of the print are 3.5 feet (width) and 6 feet (length).
The area of the print is 21 square feet.
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Complete the table of values, Y equals 2X squared plus X
The corresponding values of x and y is (4, -2), (0, 0) and (2, 10).
What is an equation?
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is y=2x²+x.
substitute the value of x to get the corresponding value of y
When x = -2
y = 2x² + x
= 2(-2)² + (-2)
= 2(4) - 2
= 6 - 2
= 4
(x, y) = (4, -2)
When x = 0
y = 2x² + x
= 2(0)² + 0
= 2(0) + 0
= 0 + 0
= 0
(x, y) = (0, 0)
When x = 2
y = 2x² + x
= 2(2)² + 2
= 2(4) + 2
= 8 + 2
= 10
(x, y) = (2, 10)
Therefore, the corresponding values of x and y is (4, -2), (0, 0) and (2, 10).
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1.2.9. attempt to solve the system −x1 3x2 − 2x3 = 4, −x1 4x2 − 3x3 = 5, −x1 5x2 − 4x3 = 6, using gaussian elimination and explain why this system must have infinitely many solutions.
The system of equation have 0 = 0, so this system must have infinitely many solutions.
The system of equations are:
-x(1) + 3x(2) - 2x(3) = 4,
-x(1) + 4x(2) − 3x(3) = 5,
-x(1) + 5x(2) - 4x(3) = 6
An approach for resolving networks of linear equations is called Gaussian elimination, commonly referred to as row reduction. It comprises of a series of operations carried out on the relevant coefficients matrix.
[tex]\left [ \begin{matrix}-1 &3 & -2\\ -1 &4 &-3 \\ -1&5 & -4\end{matrix} \right ]\begin{bmatrix}x(1)\\ x(2)\\ x(3)\end{bmatrix}=\begin{bmatrix}4\\ 5\\ 6\end{bmatrix}[/tex]
The matrix is in the form of
[A][X] = [D]
To solve the matrix we represent the matrix in the form of [A : D]
Now writing the augmented matrix
[tex]\left [ \left.\begin{matrix}-1 &3 & -2\\ -1 &4 &-3 \\ -1&5 & -4 \end{matrix}\right| \begin{matrix}4\\5 \\6 \end{matrix}\right ][/tex]
Now solving the matrix
R(2)→R(2) - R(1) and R(3)→R(3) - R(1)
[tex]\left [ \left.\begin{matrix}-1 &3 & -2\\ 0 &1 &-1 \\ 0&2 & -2 \end{matrix}\right| \begin{matrix}4\\1 \\2 \end{matrix}\right ][/tex]
R(1)→R(1) - R(3)
[tex]\left [ \left.\begin{matrix}-1 &1 & 0\\ 0 &1 &-1 \\ 0&2 & -2 \end{matrix}\right| \begin{matrix}2\\1 \\2 \end{matrix}\right ][/tex]
R(3)→R(3) - 2R(2)
[tex]\left [ \left.\begin{matrix}-1 &1 & 0\\ 0 &1 &-1 \\ 0&0 & 0 \end{matrix}\right| \begin{matrix}2\\1 \\0 \end{matrix}\right ][/tex]
Now we can see that the last every elements are zero, which shows
0 = 0
So the system of equation have infinitely many solutions.
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The complete question is:
Attempt to solve the system
-x(1) + 3x(2) - 2x(3) = 4,
-x(1) + 4x(2) − 3x(3) = 5,
-x(1) + 5x(2) - 4x(3) = 6,
using gaussian elimination and explain why this system must have infinitely many solutions.
Nathan is 1.25 meters tall. At 1 p.m., he measures the length of a tree's shadow to be
24.65 meters. He stands 20.1 meters away from the tree, so that the tip of his shadow
meets the tip of the tree's shadow. Find the height of the tree to the nearest
hundredth of a meter.
The height of the tree is 6.77 meters.
What are similar triangles?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are identical, their respective sides are equal in number and their corresponding angles are congruent.
Given that, the height of the person is 1.25 meters, the length of the tree's shadow is 24.65 meters, and the distance between the person and the tree is 20.1 meters.
Let the height of the tree be x.
Note that the scenario makes two similar triangles.
Since the ratio of the side lengths of similar triangles is proportional, it follows:
(24.65 - 20.1)/1.25 = 24.65/x
3.64 = 24.65/x
x = 24.65 / 3.64
x = 6.77
Hence, the height of the tree is 6.77 meters.
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Rewrite the expression (3^3/43^3/8)^4/9 as an exponent with a single base, 3x
The expression when rewritten is 3^1/2
How to rewrte the expressionFrom the question, we have the following parameters that can be used in our computation:
(3^3/4 * 3^3/8)^4/9
Apply the law of indices
So, we have
(3^9/8)^4/9
Simplify the exponent
3^1/2
Hence, the solution is 3^1/2
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The expression can be rewritten as 3^1/2 = √3
How to rewrite the expression:
We want to simplify the expression below:
(3^3/4 * 3^3/8)^4/9
Remember that we can add these exponents, so we get:
3/4 + 3/8 = 9/8
Then we can rewrite this as:
(3^9/8)^4/9
Takin the product between the exponents we will get:
(3^9/8)^4/9 = 3^(4/8) = 3^1/2
the solution is 3^1/2
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EASY ABCD QUESTION, WILL GIVE BRAINLEIST TO FIRST ANSWER,
Determine the number of solutions to the system of linear equations shown on the graph.
A. No solution
B. Infinitely many solutions
C. One solution at (−3, 2)
D. One solution at (2, −3)
D (2,-3)
Just look where the lines meet
Answer: D IS CORRECT
Step-by-step explanation:
What is the point of concurrency of a triangle called?
The intersection of a triangle's three medians is known as the centroid. It is always inside the triangle since it is the center of mass (or center of gravity).
What is meant by point of concurrency of a triangle?A triangle's three perpendicular bisectors all meet at this same location. The circumcenter is the location where each perpendicular bisector intersects the other. 1. The circumcenter, or center of the circle, is where the circle is bounded.
Because of this, the circumcenter may be located either inside or outside the triangle. The two points of concurrency that are able to do that are the circumcenter and orthocenter.
An intersection of three or more lines is known as a point of concurrency. The four points of concurrency are the centroid, the orthocenter, the circumcenter, and the incenter. The point of concurrency where a triangle's three medians cross is known as the centroid.
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Pls Help due in 20 minutes
Will mark brainliest if right
a. The speed of the truck in km/hr at the end of 20.0m is
v = (100 m/s) - (0.5 * 6.5 m/s^2 * 20.0 s^2)
v = (100 m/s) - (65 m/s)
v = 35 m/s
v = 35 * (3600 s/hr) / (1000 m/hr) = 126 km/hr
b. The time elapsed is
t = √(2 * 20 m / 6.5 m/s^2) = 3.19 s
The speed of the truck in km/h at the end of this distance is equal to 81.43 km/h.
The time elapsed is equal to 0.7939 seconds.
How to calculate the speed of the truck in km/h?In order to determine the speed of the truck in km/h at the end of this distance, we would apply the third equation of motion:
v² = u² + 2as
Where:
V represents the final velocity.U represents the initial velocity.S represents the distance travelled or covered.a represents the acceleration or deceleration.Next, we would convert the value of deceleration in m/s² to km/h² as follows;
Deceleration, a = 6.5 × 60⁴/1000 = -84,240 km/h².
Distance, s = 20/1000 = 0.02 m.
Substituting the given parameters into the third equation of motion, we have;
v² = 100² + 2(-84,240)(0.02)
Speed, v = √(10,000 - 3,369.6)
Speed, v = √6,630.4
Speed, v = 81.43 km/h.
Lastly, we would determine the time by using the first equation of motion:
V = U + at
Time, t = (V - U)/a
Time, t = (100 km/h - 81.43 km/h)/6.5
Time, t = [(100 × 1000/3600) - (81.43 × 1000/3600)]/6.5
Time, t = (27.78 - 22.62)/6.5
Time, t = 5.16/6.5
Time, t = 0.7939 seconds.
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Complete Question:
The driver of a pick up truck going 100 km/h applies the brakes, giving the truck a uniform deceleration of 6.50 m/s^2 while it travels 20.0 m.
a. What is the speed of the truck in km/h at the end of this distance?
b. How much time has elapsed?
Do the value in the table repreent a proportional relationhip?
x 0 1 2 3
y 0 3 5 6
Select from drop-down menu to correctly complete tatement. All of the y- value chooe. A contant multiple of the correponding a value, o the relationhip chooe
The values in the table do not represent a proportional relationship. The y-values are not a constant multiple of the corresponding x-values.
Proportional Relationship AssessmentA proportional relationship exists between two variables when one variable is equal to a constant multiple of the other variable. In the given table, if x increases by 1 unit, the corresponding increase in y is not always the same.
For example, when x increases from 1 to 2, y increases by 2 units (from 3 to 5), but when x increases from 2 to 3, y increases by only 1 unit (from 5 to 6). This lack of a constant ratio between x and y means that the relationship between the two variables is not proportional.
The applicability of proportional relationships depends on the specific problem and the nature of the relationship between the variables being considered. In some cases, a proportional relationship may not be the best model to describe the relationship between variables, and alternative models may be more appropriate.
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for a uniform probability density function, the height of the function . a. decreases as x increases b. cannot be larger than 1 c. is the same for each value of x d. is different for various values of x
for a uniform probability density function, the height of the function is determined by the constant value that the function takes over the interval of definition, and it is determined by the requirement that the integral of the function over the interval of definition must be equal to
1. The height of a uniform probability density function over an interval [a,b] is given by:
f(x) = 1/(b-a) for a <= x <= b
where b-a is the length of the interval.
A uniform distribution is a continuous probability distribution and connected to the events which are likely to occur equally. A uniform distribution is explained by two parameters, a and b, where a is the minimum value and b is the maximum value.
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Find the slope of the line containing the points ( 3, 4 ) and ( 3, - 6 ).
Answer:
Undefined
Step-by-step explanation:
in order to find the slope we can plug it into the slope formula:
k=(y1-y2)/(x1-x2) where the line contains points (x1,x2) and (y1,y2)
So we plug in
it's equal to -6-4/3-3 which is -10/0 which is undefined because we can't divide by 0
Which shows how to find the value of this expression when x = negative 2 and y = 5?.
The value of this expression is 576/365
What is Expression?
A phrase, also known as an expression in some circumstances, is a group of words or a single word that functions as a grammatical unit. For instance, the English word "the very joyful squirrel" is a noun phrase which contains the adjective phrase "extremely happy". Phrases can be made up of a single word or a whole sentence.
(3x³y⁻²)² = 576/365
Given,
x = -2
y = 5
Applying property of exponents to simplify the expression.
Property: [tex](a^{b} )^{c}[/tex] =[tex]a^{bc}[/tex]
So, we have : (3x³y⁻²)²
= 3²x⁶y⁻⁴
= 9x⁶y⁻¹
Property : a⁻ᵇ
= 1/aᵇ
= 9x⁶ / y⁴
Now, plugging in values of x and y
= 9 (-2)⁶ / 5⁴
= 9*64/625
= 576 / 365
This phrase has a value of 576/365.
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The value of this expression is 576/365
What is Expression?
A phrase, also known as an expression in some circumstances, is a group of words or a single word that functions as a grammatical unit. For instance, the English word "the very joyful squirrel" is a noun phrase which contains the adjective phrase "extremely happy". Phrases can be made up of a single word or a whole sentence.
(3x³y⁻²)² = 576/365
Given,
x = -2
y = 5
Applying property of exponents to simplify the expression.
So, we have : (3x³y⁻²)²
= 3²x⁶y⁻⁴
= 9x⁶y⁻¹
Property : a⁻ᵇ
= 1/aᵇ
= 9x⁶ / y⁴
Now, plugging in values of x and y
= 9 (-2)⁶ / 5⁴
= 9*64/625
= 576 / 365
This phrase has a value of 576/365.
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for the function g(x) graphed here, find the following limits or explain why they do not exist. a. limx→−2g(x) b. limx→−1g(x) c. limx→0g(x) d.
The function g(x) graphed here, the limit of g(x) as x approaches -2 is -1, the limit of g(x) as x approaches -1 is 2, and the limit of g(x) as x approaches 0 is 3.
a. limx→−2g(x)
= g(-2)
= -1
Therefore, the limit of g(x) as x approaches -2 is -1.
b. limx→−1g(x)
= g(-1)
= 2
Therefore, the limit of g(x) as x approaches -1 is 2.
c. limx→0g(x)
= g(0)
= 3
Therefore, the limit of g(x) as x approaches 0 is 3.
d. There is no limit of g(x) as x approaches infinity because the graph of the function is not defined at infinity. However, there is no limit of g(x) as x approaches infinity because the graph of the function is not defined at infinity.
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the following transaction occurred few days before and after leopard company’s fiscal year which ends october 31. the company uses a periodic inventory system.
Leopard Company’s fiscal year ends on October 31. If the company uses a periodic inventory system, it will record transactions for the few days before and after October 31 as follows:
Leopard Company will record the transactions for the few days before and after October 31 as they occur and will adjust the inventory balance at the end of the fiscal year.Leopard Company will record sales and purchases as they occur, regardless of the fiscal year-end. However, since the company uses a periodic inventory system,
it will need to take a physical count of its inventory at the end of the fiscal year and adjust the inventory balance accordingly. The purpose of this adjustment is to ensure that the inventory balance on the balance sheet accurately reflects the quantity and cost of goods available for sale.
This adjusting entry is important to ensure accurate financial statements and to provide an accurate representation of the company's financial position.
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what is the probability mass function, p(x = x), for x? (round to two decimal places.)
The marginal probability mass function px(x) is:
Px(0) = 0.26
Px(1) = 0.48
Px(2) = 0.26
We have to determine the marginal probability mass function px(x).
We determine the total of each value of y(0, 1, 2) at x = 0 to evaluate the value of Px(0).
The values of y(0, 1, 2) at x = 0 is:
Px(0) = Py(0) + Py(1) + Py(2)
Px(0) = 0.10 + 0.11 + 0.05
Px(0) = 0.26
We determine the total of each value of y(0, 1, 2) at x = 1 to evaluate the value of Px(1).
The values of y(0, 1, 2) at x = 1 is:
Px(1) = Py(0) + Py(1) + Py(2)
Px(1) = 0.17 + 0.23 + 0.08
Px(1) = 0.48
We determine the total of each value of y(0, 1, 2) at x = 2 to evaluate the value of Px(2).
The values of y(0, 1, 2) at x = 2 is:
Px(2) = Py(0) + Py(1) + Py(2)
Px(2) = 0.06 + 0.14 + 0.06
Px(2) = 0.26
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The complete question is:
The joint probability mass function of random variable X and Y is given in the following table:
y
X 0 1 2
0 0.10 0.11 0.05
1 0.17 0.23 0.08
2 0.06 0.14 0.06
Find the marginal probability mass function px(x). Round the answers to two decimal places.
Px(0) =
Px(1) =
Px(2) =