The probability that the last passenger end up in his/her assigned seats is 0.20.
In the given question, there are 6 people in line to board a plane with 6 seats.
The first person has lost his boarding pass, so he takes a random seat.
Everyone that follows takes their assigned seat if it's available, but otherwise takes a random unoccupied seat.
We have to find the probability the last passenger ends up in his/her assigned seat.
Given 6 people with 6 Seats.
The probability that the last passenger end up in his/her assigned seats = 1/5
The probability that the last passenger end up in his/her assigned seats = 0.20.
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Some points of a function are plotted as shown. Select all the points that could also be a part of this function. Choose all that apply.
Point (6,2) is part of the function.
What are functions?
In mathematics, a function is a procedure that uniquely connects the value of one variable to the value of another variable (or variables).
Here, we have the plotted points as:
(0,3), (2,7), (3,1), (5,4), (7,6)
Assuming from the above, we get a sinusoid graph as below.
Now if we try to plot the provided points, we see that only (6,2) satisfies the curve.
Hence, (6,2) is a point that is part of the function.
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On cold days, nick likes to make hot chocolate. He uses 6 table spoons of coco and 2 table spoons of sugar
Guys please help me on this question its like very hard and please show work
Answer:
For every 3 tablespoons of cocoa, Nate uses 1 tablespoon of sugar.
Step-by-step explanation:
Since the sugar is halved, the cocoa should be halved as well. 6/2 is 3.
Aiko i encloing a new rectangular flower garden with a rabbit garden fence. She ha 40 feet of fencing
A = -x² + 20 is a quadratic function in standard form that depicts each area as a function of width.
What makes anything a quadratic function?A quadratic in mathematics is a particular kind of problem that involves squaring, or multiplying a variable by itself. This terminology comes from the fact that a square's area equals the product of its side length and itself. Quadratum, the Greek word meaning square, is where the word "quadratic" originates.
Briefing:Now, give the x and y labels to the two sides.
We are aware that a rectangle's area is;
A = length * width
Thus;
A = xy
Given that she has 40 feet of fencing, the following follows:
y = 0.5(40) - x
y = 20 - x
Consequently, the area in the quadratic function formula is;
A = x(20 - x)
A = 20x - x²
A = -x² + 20
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Uing the model of upply and demand, conider the market for navel orange. Illutrate the
impact on the market for navel orange if (i) the price of Cutie (a type of mandarin orange) fall
while (ii) change to the Clean Water Act mean that citru farmer have to adopt new expenive
farming practice to avoid nutrient runoff harming the environment. Explain the change to the
navel orange market, drawing concluion about expected change to the market price and
quantity for navel orange
Cuties and naval oranges are interchangeable, therefore when Cuties' price drops, more mandarin oranges will be consumed by consumers, increasing the demand for naval oranges .
As the Mandarin oranges are an alternative for navel oranges, a decrease in the price of Mandarin oranges will result in more people purchasing Mandarin oranges.
The Federal Water Pollution Control Act Amendments of 1972 were passed in response to growing public knowledge of and concern over water pollution (33 U.S.C. 1251 et seq.).
This law was modified in 1977 (P.L. 95-217), and as a result, it became known as the Clean Water Act (CWA).
Given constant levels of the other determinants—tastes, income, prices of related goods, expectations, and the number of buyers—the demand curve is defined as the relationship between the price of the good and the amount or quantity the consumer is willing and able to purchase in a given time period.
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Solve for x.
2(x - 6) - 3x ≥ - 3
Simplify your answer
how do i do 10 and 12
In the given Isosceles trapezoid, the value of x and y is 12 and 5 respectively.
What is Isosceles trapezoid?An isosceles trapezoid, or isosceles trapezium in British English, is a convex quadrilateral in Euclidean geometry that has a line of symmetry cutting through one pair of opposite sides.
It is an uncommon instance of a trapezoid.
Alternately, it can be described as a trapezoid with equal amounts of both the base angles and the legs.
Note that the second requirement, or the fact that it lacks a line of symmetry, prevents a non-rectangular parallelogram from being an isosceles trapezoid.
Two opposite sides (the bases) of each isosceles trapezoid are parallel, while the remaining two sides (the legs) are each the same length (properties shared with the parallelogram).
So, solve for x and y:
For x:
4x - 27 = x + 9
3x = 36
x = 36/3
x = 12
For y:
3y + 19 = 11y - 21
8y = 19 + 21
8y = 40
y = 40/8
y = 5
Therefore, in the given Isosceles trapezoid, the value of x and y is 12 and 5 respectively.
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Two student clubs were selling t-shirts and school notebooks to raise money for an upcoming school event. In the first few minutes, club A sold 2 t-shirts and 3 notebooks, and made $40. Club B sold 1 t-shirt and 1 notebook, for a total of $16.
A matrix with 2 rows and 2 columns, where row 1 is 2 and 3 and row 2 is 1 and 1, is multiplied by matrix with 2 rows and 1 column, where row 1 is x and row 2 is y, equals a matrix with 2 rows and 1 column, where row 1 is 40 and row 2 is 16.
Use matrices to solve the equation and determine how many of each item were sold. Show or explain all necessary steps.
The value of the matrix multiplication A x B is matrix C
The value of B is [tex]B = \begin{pmatrix}x\\ y\end{pmatrix} = \begin{pmatrix}8\\ 8\end{pmatrix}[/tex]
What is multiplication of matrices?
The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix
Given data ,
The number of shirts sold by club A = 2
The number of notebooks sold by club A = 3
The number of shirts sold by club B = 1
The number of notebooks sold by club B = 1
Now , the value of matrix A is
[tex]A = \begin{pmatrix}2&3\\ 1&1\end{pmatrix}[/tex]
The value of matrix B is
[tex]B = \begin{pmatrix}x\\ y\end{pmatrix}[/tex]
The product of matrix A and B will be C , and the value of matrix C is
[tex]C = \begin{pmatrix}40\\ 16\end{pmatrix}[/tex]
So , the equation is
A x B = C
Substituting the values in the equation , we get
[tex]\begin{pmatrix}2&3\\ 1&1\end{pmatrix}\begin{pmatrix}x\\ y\end{pmatrix}=\begin{pmatrix}40\\ 16\end{pmatrix}[/tex]
On simplifying the equation , we get
[tex]\begin{pmatrix}2x+3y\\ x+y\end{pmatrix}=\begin{pmatrix}40\\ 16\end{pmatrix}[/tex]
So , the equations are
2x + 3y = 40 be equation (1)
x + y = 16 be equation (2)
Multiply equation (2) with 2 , we get
2x + 2y = 32 be equation (3)
Now , subtracting equation (3) from equation (1) , we get
y = 8
Substituting the value for y in equation (2) , we get
x + 8 = 16
Subtracting 8 on both sides of the equation , we get
x = 8
Therefore , the value of x is 8 and y is 8
Hence , the value of matrix B is [tex]B = \begin{pmatrix}x\\ y\end{pmatrix} = \begin{pmatrix}8\\ 8\end{pmatrix}[/tex]
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answer this please i need help
Answer:
it is 180
Step-by-step explanation:
Use compatible numbers to estimate the correct quotient.
The estimate of the quotient expression using compatible numbers is 100
How to estimate the number of quotient?From the question, we have the following parameters that can be used in our computation:
7 | 497
This quotient expression from the question can be expressed as
497 ÷ 7
From the question, we are to make use of compatible numbers
This means that we have the following approximation
497 = 500
7 = 5
Next, we estimate the quotient using approximated values
So, we have
497 ÷ 7 = 500 ÷ 5
Evaluate the quotient
497 ÷ 7 = 100
Hence, the estimate is 100
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h(x) = −7x² + 10x - 5
Answer: The expression you provided is a quadratic function in the form of H(x) = ax^2 + bx + c, where a = -7, b = 10, and c = -5. The graph of this function is a parabola with the vertex located at x = -b/2a = -10/(-14) = 5/7. The y-coordinate of the vertex can be found by plugging the x-coordinate into the original function, giving us H(5/7) = (-7)(5/7)^2 + 10(5/7) - 5 = -5/7 + 25/7 - 5 = 0. This means that the vertex of the parabola is located at the point (5/7, 0). The general form of the quadratic function is H(x) = -7(x - 5/7)^2.
What is the best approximation for the relative minimum of the polynomial
function graphed below?
OA. (1.5,-1.8)
B. (0,-3)
C. (-3,0)
OD. (-1.5,-1.8)
G
(0,-3) is the best approximation for the relative minimum of the polynomial function graphed below.
What is x and y-axis?A two-dimensional number line, like two perpendicular axes, can be used as a coordinate system. This coordinate system is typical: The x-axis and y-axis are the names of the horizontal and vertical axes, respectively. The origin is the point at which all lines in a coordinate system intersect.
The coordinates that are shown on the x and y axes give rise to their respective names. The vertical y-axis is aligned with the horizontal x-axis. They are referred to as axes because they are perpendicular to one another.
From the graph it is shown that,
In the x axis the value is between 0 and 1 , and the y-axis is in between 0 to -3 then the answer is: (0,-3)
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The complete question is as follows:
Which of the following is a set of all real numbers x, such that x + 1 > x + 8?
A. The set containing zero
B. The set containing all real numbers
C. The set containing all positive numbers
D. The set containing all negative numbers
E. The empty set
Answer:
EE.
Step-by-step explanation:
x+1>x+8. 1+8. ∅
What Is 4/9 - 4/10 i need A 100% Correct answer
Answer:
2/45
Step-by-step explanation:
Given problem,
→ (4/9) - (4/10)
Let's solve the problem,
→ (4/9) - (4/10)
→ (40/90) - (36/90)
→ (40 - 36)/90
→ 4/90
→ 2/45
Hence, answer is 2/45.
Somebody solve This maze?
Answer:
check image
Step-by-step explanation:
do the cross method for each one for example for the first one do 11x20 which equals 220 then divide that by 22 so 220/22 that gives you 10
Lisa paid $46.58 for 16.7 gallons of gasoline. What was the cost per gallon, rounded to the nearest hundredth?
Answer: 2.73 is the answer
Step-by-step explanation:
what does the univariate t test tell you that the bivariate correlation test alone does not? what does the bivariate test tell you that the univariate test does not tell you?
In univariate data, only one variable is assessed for each person. Two variables are measured for each person in bivariate data.
The definition of univariable data is "one variable," and it is generally understood to be one sort of data. It is one of the straightforward methods for data analysis. The data in univariable data only include one variable.
The cat's weight, for instance, is 10, 15, 25, 27, 30, 35, and 40.
The variable is hence "Cat weight."
The definition of bivariate data is "Two Variable," and it essentially consists of two different forms of data. It is a straightforward type of statistical analysis.
Only one variable is analysed at a time in univariate statistics. Two variables are compared in bivariate statistics. Multiple variables are compared using multivariate statistics.
In a bivariate analysis, the correlations between the two variables are measured. When there are more than two variables in the data set, a more complicated statistical analysis technique called multivariate analysis is utilized.
Therefore,
In univariate data, only one variable is assessed for each person. Two variables are measured for each person in bivariate data.
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The slope of the line with equation y=-3x - 2 is multiplied by 2.
What is the x-intercept of the resulting line?
Step-by-step explanation:
-a/b is slope so here .on comapring slope is 3
after multiply by 2 ans. is 6
x Intercept is where it cut the x-axis so equation of line will have slope 6
X interceptor remain the same
Which equation represents the vertical asymptote of the graph?
x= -8
y= -8
x= 0
y= 0
Answer: x= -8
Step-by-step explanation:
A vertical asymptote is a line cut in the middle of both graphs!
It can't be x= 0 or y= 0 because it is not the middle of both graphs!
It can't be y= -8 because it is not cut in the middle.
So x=-8 is the right answer!
PLEASE HELP ME. I NEED HELPPPP I WILL GIVE BRAINIEST
The area of the figure is 50.24 units squared.
How to find the area of a figure?The figure above is a quarter of a circle. A circle divided into 4 equal parts is a quarter of a circle. Therefore, the area of the figure can be represented as follows:
Since, the figure is a quarter of a circle, the product of the area of a circle and 1 / 4 is the area of the figure.
Hence,
area of the figure = πr² / 4
where
r = radiusTherefore,
r = 8
area of the figure = 3.14 × 8² ÷ 4
area of the figure = 3.14 × 64 × 1 / 4
area of the figure = 200.96 / 4
area of the figure = 50.24 units squared
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I need a step-by-step process on how to do:
-3x+y=9
y=x-7
I would think this is a substitution problem.
Answer:
x = -8
y = -15
Step-by-step explanation:
-3x + y = 9
y = x - 7
-3x + x - 7 = 9
-2x - 7 = 9
-2x = 16
2x = -16
x = -8
y = -8 - 7
y = -15
-6(10x-10) - 5 how do I solve this
Answer: x= 11/12
Step-by-step explanation:
-6(10x-10) - 5
-60x +60 - 5
-60x + 55
Subtract 55 on both sides
-60x = -55
x= 55/60
x= 11/12
pls help super easyy due tomm!!!
If a < b, then multiplying both sides of the inequality by -4 will reverse the direction of the inequality. The resulting inequality will be:
-4a > -4b
This is because multiplying a negative number by a negative number results in a positive number, and multiplying a positive number by a negative number results in a negative number. Therefore, the inequality must be reversed when both sides are multiplied by a negative number.
Given
�
∥
�
m∥n, find the value of x.
m
n
t
113°
x°
The value of X is 67°.
What makes lines parallel?If two lines never cross and always lie at the same distance apart, they are said to be parallel. Both lines need to be parallel (in the same plane). The symbol for parallel lines is represented by two tiny parallel lines when written in geometric shorthand, as this ║. For instance, we write JI║NX to indicate that lines JI and NX are parallel. A transversal line is one that runs parallel to another line. The transversal forms eight angles when cutting across parallel lines. Eight parallel lined angles can be obtained by cutting a transversal across any existing pair of parallel lines by drawing the transversal with a straightedge.These eight angles in parallel lines are:Corresponding anglesAlternate interior angleAlternate exterior anglesSupplementary anglesHence, The value of X is 67°.
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The complete question is:
Match the linear equation to the correct graph.
Answer: y= 1/2x + 2
Step-by-step explanation:
The linear equation is y= mx + b
The y-intercept is located at (0,2), so b equal to 2
Let's pick two points ( 0,2) ( 2, 1)
To find the slope, we need to find the rise over run.
Rise decrease by 1, and run increase by 2, so the slope is 1/2
So the equation is y= 1/2x +2
advantages and disadvantages of discussion forum
The main advantage of the discussion forum is that it allows the exchange of information, the disadvantage is that it requires a very good organization.
¿What are the advantages of the discussion forum?The main advantages of this forum are:
Many thoughts and information can be exchanged.It facilitates and allows the participation of different people in an appropriate and simple way.¿What are the disadvantages of the discussion forum?The main disadvantages are:
It must be organized correctly, otherwise it loses its essence.Not all participants usually have the ability to express themselves correctly.What are the solutions to this quadratic equation? Select all that apply. x2 – 3x – 18 = 0 A. x = 6 B. x = –3 C. x = –2 D. x = 9 E. x = –18 F. x = 3
The solutions of the quadratic equation x² - 3x - 18 = 0 are
x = -3 and x = 6
What is Factorization method?
Factorization of a quadratic equation means writing the given expression as a product of its factors. These factors can be numbers, variables, or an algebraic expression.
According to the given question:
The given quadratic equation is x² - 3x - 18
Applying factorization by splitting middle term method
x² - 3x - 18 = 0
x² - 6x + 3x - 18 = 0
Grouping the terms to get
x(x - 6) + 3(x - 6) = 0
(x + 3)(x - 6) = 0
Hence the solutions are x + 3 = 0 and x - 6 = 0
The solutions of the quadratic equation x² - 3x - 18 = 0 are
x = -3 and x = 6
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-10m3+25m2 show how you got it please
What is the remainder when the product 1998 × 1999 × 2000 is divided by 7?
Answer:
As a fraction: 7988004000/7
As a decimal: 1141143428.571429
Step-by-step explanation:
Multiply (1998)(1999)=3994002
Multiply (3994002)(2000)=7988004000
As a fraction it will be 7988004000/7
Turn it into a decimal!
Just divide 7988004000 by 7 or 7988004000/7
This should be: 1141143428.571429
Write this function in standard form:
f(x) = (2x + 3)(x^2 - 5x + 1)
Answer:
Hi!
The answer would be:
f(x)= 2x^3 - 7x^2 - 13x + 3
I hope this helped you! :)
Find the total cost to the nearest cent.
$ 22 haircut
tip: 20 %