A good residual plot should have the points randomly scattered around the horizontal line with no discernible pattern.
This indicates that the model is well fit to the data. The residuals should also be equally distributed on either side of the horizontal line. This can be seen as the sum of the residuals being equal to 0, or mathematically expressed as the sum of the residuals (e) being equal to 0, where [tex]e = y - ŷ[/tex], where y is the observed value and ŷ is the predicted value. The equation can be expressed as Σe=0.
Learn more about horizontal line here:
https://brainly.com/question/15455625
#SPJ4
Need help ASAP please!!!!!
Answer:
122
Step-by-step explanation:
the question is asking for the area of the whole shape
however, it's split into a trapezoid and rectangle, so all you have to do is find the area of the respective shapes and then add them
the formula for area of a rectangle is [tex]A = L(W)[/tex]
if you substitue, A = 15(6)
so the area of the rectangle is 90
then, you have the trapezoid
area of a trapezoid = [tex]\frac{1}{2} (h)(b_{1} +b_{2})[/tex]
you might assume that you don't have the second base, but it's in the rectangle - 6
A = 1/2(4)(6+10)
A=32
90+32 = 122
Reeta has spent 2/7 of her salary on car repair work. She has 15,000 rupees left with her. what is her salary?
Answer 15489 Rupees
Step-by-step explanation:
Total parts= 7+2=9 parts
total salary= 9x
taken salary for car repair= 2x/7
remaining salary= 15000 rupees
9x-2x/7= 15000
(63x-2x)/7=15000
61x/7=15000
61x=105000
x= 105000/61
x= 1721(approx)
Total salary= 9x
= 9*1721
=15489 rupees
Mark as brainliest ;)
Consider the equation
2x + 3y - 6 - 3z + 4y - 6x = 4x + 2y = 4z + 10
a. How many terms are there in this equation?
b.
What are the variables in this equation?
c.
What are the constants in this equation? (hint: constants are the numbers that
are "unattached" to variables)
d. Combine the like terms on the left side of the equation. What are the coefficients
of the variables? (hint: the coefficients are the numbers that multiply the
variable-for example, in 6x, 6 is the coefficient)
There are 10 terms in the equation
The variables are x, y, z
The constants in this equation are -6, 10
The coefficients of the variables of the equation are; 8, 7 and -3
How many terms are there in this equation?2x + 3y - 6 - 3z + 4y - 6x = 4x + 2y - 4z + 10
The left side of the equation is;
2x + 3y - 6 - 3z + 4y - 6x
= 2x - 6x + 3y + 4y - 3z - 6
= 8x + 7y - 3z - 6
Therefore, the coefficients of the variables on the left side of the equation are; 8, 7 and -3
Variables are unknown numbers usually represented by letters or symbols.
The constant are numbers that cannot change its value
Read more on constant and variable:
https://brainly.com/question/26271740
#SPJ1
A cylinder is full at 471 cubic centimeters and has a radius of 5 centimeters. What is the height of the cylinder?
Use 3.14 for pi.
Dont forget to track your thinking on paper. You will need this answer for the next problem.
Question 7 options:
A 94.2 cm
B 18.84 cm
C 30 cm
D 6 cm
The height of the cylinder having a volume of 471 cubic centimetres will be 6 cm. The correct option is D.
The volume of the cylinder is defined as the three-dimensional space occupied by the cylinder.
We can use the formula for the volume of a cylinder, which is given:
V = πr²h
Where V is the volume, r is the radius, and h is the height of the cylinder.
We are given that the cylinder is full at 471 cubic centimetres and that the radius is 5 centimetres. Therefore, we can plug in these values into the formula and solve for h:
471 = π(5²)h
471 = 25πh
h = 471 / (25π)
h ≈ 6 centimeters
Therefore, the height of the cylinder is approximately 6 centimetres.
To know more about volume follow
https://brainly.com/question/23935577
#SPJ1
what's the domain and range of the function f(x) = 5(4)^x + 2
The required domain and range of the function are (-∞, ∞) and (2, ∞).
How to find the domain and range of the function?The domain of a function is the set of all possible values of the input variable (x) for which the function is defined. In this case, the function is an exponential function with base 4, which means it is defined for all real numbers.
Therefore, the domain of f(x) is all real numbers, or (-∞, ∞).
The range of a function is the set of all possible values of the output variable (f(x)) for all possible values of the input variable (x).
Since 4^x is always positive (for all x), the value of the function f(x) will always be greater than 2 (the constant added to 5(4)^x), no matter what the value of x is.
As x approaches negative infinity, 5(4)^x approaches zero, so the minimum value of f(x) is 2.
As x approaches positive infinity, 5(4)^x increases without bound, so the range of f(x) is (2, ∞).
Thus, required domain and range of the function are (-∞, ∞) and (2, ∞).
To know more about function visit:
brainly.com/question/28193994
#SPJ1
C is the circumcenter of isosceles triangle ABD with vertex angle ∠ABD. Does the following proof correctly justify that triangles ABE and DBE are congruent?
It is given that triangle ABD is an isosceles triangle, so segments AB and DB are congruent by the definition of isosceles triangle.
It is given that C is the circumcenter of triangle ABD, making segment BE a median.
By the definition of perpendicular, angles AEB and DEB are 90°, so triangles ABE and DEB are right triangles.
Triangles ABE and DEB share side BE making it congruent to itself by the reflexive property.
Triangles ABE and DBE are congruent by HL.
Triangle ABD with segments BC, DC, and AC drawn from each vertex and meeting at point C inside triangle ABD, segment BC is extended past C with dashed lines so that it intersects with side AD at point E.
There is an error in line 1; segments AB and BD are given to be congruent.
There is an error in line 2; segment BE should be a perpendicular bisector.
There is an error in line 4; segment BE is not a shared side.
The proof is correct.
The proof is not correct.
How did we arrive at this assertion?The given information that segments AB and BD are congruent does not imply that triangles ABE and DBE are congruent. Congruency of triangles requires more information, such as additional side lengths or angle measures.
While it is true that point C is the circumcenter of triangle ABD and that segment BE is a median, it is not necessarily true that BE is also a perpendicular bisector. In fact, this would only be true if triangle ABD were also an equilateral triangle.
The statement that triangles ABE and DEB share side BE is incorrect. Triangles ABE and DEB do not share any sides, but rather have segment BE as a common hypotenuse.
Therefore, the conclusion that triangles ABE and DBE are congruent by HL (hypotenuse-leg) is not valid since the previous steps in the proof are flawed.
learn more about Congruent: https://brainly.com/question/29789999
#SPJ1
For your birthday, you received a $15 gift card to your favorite arcade. All of the games at the arcade cost $0.75. Complete the equation to represent the total amount of money, m, remaining on the gift card after playing g arcade games.For your birthday, you received a $15 gift card to your favorite arcade. All of the games at the arcade cost $0.75. Complete the equation to represent the total amount of money, m, remaining on the gift card after playing g arcade games.For your birthday, you received a $15 gift card to your favorite arcade. All of the games at the arcade cost $0.75. Complete the equation to represent the total amount of money, m, remaining on the gift card after playing g arcade games.
The required equation model the situation total amount of money, m, remaining on the gift card after playing g arcade games as m = $15 - 0.75g.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let's start by representing the total amount of money spent on playing arcade games as 0.75g.
Since the gift card has a value of $15, the total amount of money remaining on the gift card after playing g games can be represented as:
m = $15 - 0.75g
This equation represents the total amount of money remaining on the gift card after playing g games, where m is the remaining amount and g is the number of games played.
Learn more about models here:
https://brainly.com/question/22591166
#SPJ9
What is 0.25 as an improper fraction?
Answer:
1/4
Step-by-step explanation:
0.25 * 4 = 1
so, 1/4 = 0.25
The grade you earn in math varies inversely with the number of minutes per night you watch TV. If you watch 90 minutes of TV per night, you get a 60% in math. How much TV can you watch to get a 70% in math?
The number of minutes that you watch TV to get a 70% in math will be 77.14 minutes.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The grade you earn in math varies inversely with the number of minutes per night you watch TV.
We know that in inverse proportionality, the product of grade and number of minutes remains constant.
Let 'N' be the number of minutes. Then the equation is given as,
70N = 90 × 60
70N = 5,400
N = 77.14 minutes
The number of minutes that you watch TV to get a 70% in math will be 77.14 minutes.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ1
What is a monomial example?
A monomial is an algebraic expression that consists of a single term. A monomial can contain constants and/or variables, which are multiplied together.
The expression 3x²y is a monomial. It contains the constant 3, the variable x squared, and the variable y. The variables can be raised to an exponent, as in this example; however, the exponent must be a whole number.A monomial can also contain coefficients, which are the numbers that are multiplied with a variable. In the example above, the coefficient is 3. If there is no coefficient stated, then the coefficient is assumed to be 1. Therefore, the expression x²y is also a monomial, with the coefficient being 1.Additionally, a monomial can contain a product of numbers and variables, such as the expression 2xyz. This is also considered a single term, since all of the numbers and variables are multiplied together.
Monomials can be used to calculate polynomials, which are algebraic expressions consisting of multiple terms. By adding, subtracting, and multiplying monomials together, you can create a polynomial. For example, the expression (3x²y) + (2xyz) is a polynomial, since it consists of two terms. The first term is the monomial 3x²y, and the second term is the monomial 2xyz.
Learn more about monomial here:
https://brainly.com/question/9183135
#SPJ4
(x + 3)^2 Write your answer as a list of values separated by commas.
The values are written in commas as x², 6x and 9
How to determine the valuesIt is important to note that algebraic expressions are expressions that are made of terms, variables, coefficients, factors and constants.
From the information given, we have the quadratic expression as:
(x + 3)^2
Now, take the following steps to determine the values
(x + 3)(x +3)
expand the bracket, we get;
x² + 3x + 3x + 9
Now, collect the like terms and add the values
x² + 6x + 9
Hence, the value is x² + 6x + 9
Learn about quadratic equations at: https://brainly.com/question/1214333
#SPJ1
The diagram shows the relative positions of three MRT stations.
Find the bearing of
(a) W from O
(b) O from CA
(c) CA from W
The bearing are as follows:
(a) W from O = 70 degree south by east
(b) O from CA = 17 degree south by west
(c) CA from W = 21 degree west by north
What is angle ?
In geometry, an angle is the measure of the amount of rotation between two intersecting lines or surfaces, typically measured in degrees or radians.
An angle is formed when two lines or surfaces intersect at a point, which is called the vertex of the angle. The two lines or surfaces that form the angle are called the arms or sides of the angle. Angles are usually denoted using the vertex point, with a small angle symbol (such as ∠ABC).
What is corresponding angle ?Corresponding angles are a pair of angles that are in the same relative position at two different intersections of a line and a pair of parallel lines. In other words, if two parallel lines are intersected by a third line (called a transversal), then any pair of angles that are in the same position relative to the parallel lines are corresponding angles.
According to given conditions :a. 70 degree south by east
b. 17 degree south by west
c. 21 degree west by north
To know more about angles visit :
https://brainly.com/question/25716982
#SPJ1
AThe bearing are as follows:
(a) W from O = 70 degree south by east
(b) O from CA = 17 degree south by west
(c) CA from W = 21 degree west by north
What is angle ?
In geometry, an angle is the measure of the amount of rotation between two intersecting lines or surfaces, typically measured in degrees or radians.
An angle is formed when two lines or surfaces intersect at a point, which is called the vertex of the angle. The two lines or surfaces that form the angle are called the arms or sides of the angle. Angles are usually denoted using the vertex point, with a small angle symbol (such as ∠ABC).
What is corresponding angle ?
Corresponding angles are a pair of angles that are in the same relative position at two different intersections of a line and a pair of parallel lines. In other words, if two parallel lines are intersected by a third line (called a transversal), then any pair of angles that are in the same position relative to the parallel lines are corresponding angles.
According to given conditions :
a. 70 degree south by east
b. 17 degree south by west
c. 21 degree west by north
To know more about angles visit :
brainly.com/question/25716982
#SPJ1
the value of y varies directly with x. if y = 20 and x = 30, what is the value of y if x = 1?
A. 200
B. 2/3
C. 110/3
D. 9/2
Answer:
B. 2/3
Step-by-step explanation:
If y directly varies with x, then y = kx where k is a constant
Given that when y = 20 when x = 30 we get the equation: 20 = k x 30
or
20 = 30k
Dividing by 30 both sides and switching sides gives
k = 20/30 = 2/3
The equation becomes
y = 2/3 x
Therefore if x = 1 we get
y = 2/3 x 1 = 2/3
Choice B
In AVWX, the measure of ZX=90°, XW = 3, WV = 5, and VX = 4. What is the value of
the tangent of ZW to the nearest hundredth?
Tony has a rectangular piece of cardboard that will have congruent squares removed from its corners with a length of 3 inches. The length of the piece of cardboard is four times larger than its width. Tony also know that the volume of the box he is able to create from this piece of cardboard is 336 cubic inches. What are the dimension of this box?
The dimensions of the box are given as follows:
Length of 3 inches.Width of 0.75 inches.Height of 149.3 inches.How to obtain the volume of the rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, as follows:
Volume = length x width x height.
The parameters for this problem are given as follows:
Length of 3 inches.Width of 1/4 x 3 = 0.75 inches.Volume of 336 cubic inches.Hence the height of the cardboard is given as follows:
3 x 0.75 x h = 336
h = 336/(3 x 0.75)
h = 149.3 inches.
More can be learned about the volume of a rectangular prism at brainly.com/question/22070273
#SPJ1
pls help i don’t understand how to graph
Answer:
Slope: [tex]\bf \boxed{-\dfrac{1}{3}}[/tex]
y-intercept: [tex]\boxed{-1}[/tex]
Equation: [tex]\boxed{\bf{y=-\dfrac{1}{3}x - 1}}[/tex]
The two boxes at the bottom are asking you to repeat the above information:
the slope is [tex]\bf \boxed{-\dfrac{1}{3}}[/tex] the y-intercept is [tex]\boxed{-1}[/tex]
Step-by-step explanation:
Actually, you don't have to graph the equation since the graph is already provided
You have to answer the questions based on the provided graph
To find slope
1. Take any two well=defined points on the graph:
We can see that point (0, -1) which has x value at 0 and y-value 1 unit down is a distinguishable point. Let's call this point P1Another point is (3, -2). Let's call this point P22. Find the difference in y-values between P2 - P1. This called rise
rise = P2 v-value - P1 y-value = -2 - (-1) = -2 + 1 = - 1
3. Find the corresponding difference in x-values: P2 - P. This is called run
4. The slope is computed as rise/run = - 1/3
To find y-intercept
Just note where the line crosses the y-axis and the y-value corresponding to that would be the y-intercept
This is also the y-value at which x = 0
Looking at the graph we see that the line crosses(intercepts) the y-axis at y = - 1
So y-intercept = - 1
To write the equation
The equation of the line is
y = mx + b
where
m = slope
b = y-intercept
So the equation of this particular line is
[tex]\bf{-\dfrac{1}{3}x - 1}[/tex]
1. 3x3 2x2 y 4x2 y is equivalent to:
a. 9x7 y 2 b. 9x12 y 2 c. 24x7 y 2 d. 24x12 y e. 24x12 y
Option C is correct, the expression 24x⁷y² is equivalent to 3x³. 2x²y. 4x²y.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 3x³. 2x²y. 4x²y.
We need to find the equivalent expression of the given expression.
Equivalent expressions are expressions that work the same even though they look different.
(3×2×4)x³. x²y. x²y.
24x³. x²y. x²y.
When bases are same then the powers will be added.
24x⁷y²
Hence, option C is correct, the expression 24x⁷y² is equivalent to 3x³. 2x²y. 4x²y.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ9
y=3.8x10 [tex]x^{5}[/tex]
Divide 3x³ - 2x² + 4x - 3 by x² + 3x + 3.
The solution to the division 3x³ - 2x² + 4x - 3 divided by x² + 3x + 3 is: 3x - 11 ( 28x + 30) / (x² + 3x + 3).
What is the quotient of the long polynomial division?
The division of the polynomial 3x³ - 2x² + 4x - 3 by the polynomial x² + 3x + 3 can be performed using polynomial long division.
Here's the steps for long division:
3x - 11
------------------------------------
x² + 3x + 3 √ (3x³ - 2x² + 4x - 3 )
- (3x³ + 9x² + 9x )
---------------------------------
-11x² - 5x - 3
- ( -11x² - 33x - 33 )
-----------------------------------
28x + 30
Thus, the solution to the division 3x³ - 2x² + 4x - 3 divided by x² + 3x + 3 is: 3x - 11 ( 28x + 30) / (x² + 3x + 3)
Learn more about long division of polynomial here: https://brainly.com/question/27601809
#SPJ1
2. Simplify the expression below by multiplying and then grouping like terms. Please look at CW # 4.11 or
# 4.12 if you need help!
2y + 3x +42x+5y-3y - 5x
The simplification of the expression gives 40x + 4y
How to simplify an expressions?Simplification is a way of determining an answer for a complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus, etc.
The expression 2y + 3x +42x+5y-3y - 5x can be simplified by adding or subtracting like terms. That is:
2y + 3x +42x+5y-3y - 5x = 3x +42x- 5x + 5y-3y + 2y
= 40x + 4y
Learn more about simplification on:
brainly.com/question/29458827
#SPJ1
comment savoir si un graphique est proportionnelle ?
Answer:
Pour savoir si un graphique est proportionnel, il faut vérifier si les valeurs de la variable indépendante (l'axe des x) sont proportionnelles aux valeurs de la variable dépendante (l'axe des y). Cela signifie que si on multiplie les valeurs de la variable indépendante par un facteur constant, les valeurs de la variable dépendante seront également multipliées par ce même facteur constant.
Un moyen de vérifier si un graphique est proportionnel est de tracer une ligne droite à travers les points de données. Si tous les points se trouvent sur cette ligne droite, alors le graphique est proportionnel. Si les points ne se trouvent pas sur une ligne droite, alors le graphique n'est pas proportionnel.
Il est également possible de calculer le coefficient de proportionnalité en divisant chaque valeur de la variable dépendante par la valeur correspondante de la variable indépendante. Si le résultat est constant pour toutes les paires de valeurs, alors le graphique est proportionnel.
Enfin, il convient de noter que la proportionnalité n'est qu'un type de relation entre deux variables et que d'autres types de relations peuvent exister, tels que les relations exponentielles, logarithmiques ou quadratiques.
Step-by-step explanation:
25 points! write the radical ³√32m³ using rational exponents
Answer:
To write the radical ³√32m³ using rational exponents:
1. Rewrite the radical using exponential notation: 32m^3 ≈ 8m^3.
2. Convert the exponent into its equivalent fractional form: 8m^3 ≈ 2^3m^3/2^3.
3. Apply a rational exponent to the numerator: (2^3m^3)^(1/3)/2^3 = 2m.
4. The radical can now be written using rational exponents: (2m)^3/2^3.
What is 5.3 as a fraction?
Answer:
Step-by-step explanation:53/10
Sean painted 1/3 of a fence. Sandra painted 1/4 of the fence. How much
of the fence remains to be painted?
Answer:7/12
Step-by-step explanation:
1/3 = 4/12
1/4=3/12
3/12+4/12 = 7/12
7/12 is the answer
2x _ 2 +9x _−5 . factor trinomials (a>1) level 2
The factored form of the given trinomial as required in the task content is; (2x - 1) (x + 5).
What is the factored form of the given trinomial?It follows from the task content that the factored form of the trinomial 2x² + 9x - 5 is to be determined.
Therefore, the factorisation is as follows;
2x² + 10x - x - 5
2x (x + 5) -1 (x + 5)
(2x - 1) (x + 5)
Ultimately, the factored form of the trinomial is; (2x - 1) (x + 5).
Read more on factorisation of trinomial;
https://brainly.com/question/545911
#SPJ1
Write the sentence as an equation.
the quotient of j and 11 is equal to 367
Type a slash (/) if you want to use a division sign.
Submit
Answer: j/11 = 367
Step-by-step explanation:
Keywords: QUOTIENT. Quotient indicates a division answer. The quotient, in this case, is 367.
It also makes sense that j is the dividend and 11 is the divisor.
---
For the SOLVED version: j = 4037.
Multiply 11 on both sides, canceling the 11 on one side and getting 4037 when you multiply 11 by 367.
Answer:
J/11 = 367; this is the equation as When J is divided by 11 it answers to 367
Step-by-step explanation:
total answer;
J = 367(11)
J= 4037
HURRY PLEASE LIKE TODAY
What could you multiply the second (purple) equation by to make the y-values additive inverses?
-2 is to be multiplied in the second equation to make the y-values additive inverses.
What are additive inverses?Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0.
Given are two equations,
3x-4y = -5.....(i)
5x-2y = -6.....(ii)
We need to find the additive inverse of y variable,
The coefficients of y variables in the both equations are ;-
-4 and -2
The additive inverse of -4 is 4,
If we multiply -2 by -2 it becomes 4,
Hence, -2 is to be multiplied in the second equation to make the y-values additive inverses.
Learn more about additive inverse, click;
https://brainly.com/question/13715269
#SPJ1
5.) Yesterday your friend made needs to make 3 more gallons of the same shade. She 1 gallon of dark pink paint using the information in the table. Today she
white tint to 3 gallons of base paint. Explain the error in her reasoning. says that she should add 9 parts red tint and 2 parts
Your friend's mistake when wanting to make a new mixture of pink paint is that she is only going to add 2 parts of white paint, the correct formula would be 3.
What is error?Error is, the difference between a true value and an estimate, or approximation, of that value.
Given that, yesterday your friend made needs to make 3 more gallons of the same shade. She 1 gallon of dark pink paint using the information in the table, (attached in solution)
The calculation of how much paint you need to make 3 gallons of Pink paint :-
To mix 3 gallons of pink paint we must take into account the following information:
1 gallon of pink paint is equal to 3 parts red paint and 1 part white paint.
To find out how many parts we need to prepare 3 gallons of pink paint we must multiply the mix values for a gallon by 3.
Red paint:
3 x 3 = 9
White paint:
1 x 3 = 3
We need to use 3 parts white paint and 9 parts red paint to make 3 gallons of pink paint.
Hence, She needs to add 3 parts of white paint and 9 parts of red paint. The error is she added 2 parts of white paint.
Learn more about error in:
https://brainly.com/question/19575648
#SPJ9
The question is incomplete so, I attached the graph.
If aΔb=a² + ab + b², then what is the value of -3Δ5?
A. 4
B. -14
C. -7
D. 1
E. 19
Answer:
E) 19
Step-by-step explanation:
To find the value of -3Δ5, we need to substitute -3 and 5 into the equation: aΔb = a² + ab + b².
So, we have:
-3Δ5 = (-3)² + (-3)(5) + (5)²
= 9 - 15 + 25
= 19
Therefore, the answer is E) 19.
Camden went to the grocery store and purchased cans of soup and frozen
dinners. Each can of soup has 150 mg of sodium and each frozen dinner has
300 mg of sodium. Camden purchased a total of 7 cans of soup and frozen
dinners which collectively contain 1500 mg of sodium. Graphically solve a
system of equations in order to determine the number of cans of soup
purchased, x, and the number of frozen dinners purchased, y.
Camden purchased 4 cans of soup and 3 frozen dinners.
How to solve for thisWe can solve this problem by using a system of two linear equations.
Let x be the number of cans of soup purchased and y be the number of frozen dinners purchased.
Then, based on the information given, we can set up two equations as follows:
150x + 300y = 1500 (the total amount of sodium consumed is 1500 mg)
x + y = 7 (Camden purchased 7 cans of soup and frozen dinners)
Now, we can use either substitution or elimination to find the values of x and y.
Using substitution:
Solve the second equation for y: y = 7 - x
Substitute the expression for y into the first equation: 150x + 300(7 - x) = 1500
Simplify the expression: 150x + 2100 - 300x = 1500
Combine like terms: -150x + 2100 = 1500
Solve for x: -150x = -600
Divide both sides by -150: x = 4
Use the second equation to find y: y = 7 - x = 7 - 4 = 3
So, Camden purchased 4 cans of soup and 3 frozen dinners.
Read more about maths here:
https://brainly.com/question/22688504
#SPJ1