A result is called "statistically significant" whenever. O The null hypothesis is true. O The significant level a = 0.05. O The p-value Greaterthanorequalto 0.05. O The p-value is less than the significant level.
A result is called "statistically significant" when the p-value is less than the significant level, typically 0.05.
This means that there is less than a 5% chance that the results are due to chance alone, and suggests that there is a real effect present in the data.
The Null Hypothesis is the assumption that there is no significant difference between the measured phenomenon and a certain value or set of values. A statistically significant result means that the observed data are inconsistent with the assumption of no difference, or no effect.
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Parallelogram PQRS is shown.measure of angle s=(3x),measure of angle R=120, and measure of angle Q=(2y) find the value of X
Parallelograms have adjacent angles supplementary (sum to 180).
For pair r and s,
3x+120=180, => x=(180-120)/3=20 °
Similarly, for pair q and r,
2y+120=180 => y=(180-120)/2 = 30 °
A ratio is a comparison of two numbers by addition.alwayssometimesnever
The given statement "A ratio is a comparison of two numbers by addition" is "NEVER" true. A ratio is not a comparison of two numbers by addition. Rather, it is a comparison of two numbers by division.
What is a ratio?
A ratio is a mathematical comparison of two or more quantities that is expressed in the form of a fraction. Ratios can be expressed in various ways. It is the relationship between two numbers by dividing the first by the second number. The ratio of a to b is typically written as a:b or a/b, where a is the first number, and b is the second number.
What is a comparison?
A comparison is the act of estimating, measuring, or judging the similarities and differences between two or more items. A comparison is the practice of contrasting two or more items in order to establish similarities and differences between them.
Addition is a mathematical process in which two or more numbers are combined to obtain a sum. Addition is a mathematical operation that is used to solve mathematical problems in a variety of fields and is one of the most fundamental mathematical operations. It is the act of adding two or more numbers together. The sum is the result of the addition of two or more numbers.
To conclude, the statement "A ratio is a comparison of two numbers by addition" is NEVER true. Rather, a ratio is a comparison of two numbers by division.
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Pls can I have the workings too
Answer:
\(\frac{(3-2a)}{a^2}\)
Step-by-step explanation:
Given expression is,
\(\frac{3}{a^2}- \frac{2}{a}\)
First equalize the denominators of the fractions,
\(\frac{3}{a^2}-\frac{2a}{a^2}\)
Now combine the fraction as a single fraction,
\(\frac{(3-2a)}{a^2}\)
Since, we can not solve this fraction further, this will be simplified form of the given expression.
A shape is shown on the graph: A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 4, negative 2 and 2, negative 6. Which of the following is a reflection of the shape? (5 points) Group of answer choices A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, negative 2 and negative 4, negative 2 and negative 4, negative 6. A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, 2 and 4, 2 and 2, 6. A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, negative 4 and negative 6, negative 4 and negative 6, negative 2. A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, 2 and 2, 4 and 6, 2.
Answer:
Step-by-step explanation:
the answers the second one.
Answer:
D
Step-by-step explanation:
the answer is d
Please answer this question
Answer:
A
hope that helped <3
Ellis buy 24 cans of soda in packs of 6 each pack costs £1.80 Connor buys 24 cans of soda in packs of 8 each pack costs £2.10 Ellis pays more for his 24 cans than Connor how much more?
\(\bold{\huge{\blue{\underline{ Solution }}}}\)
Given :-Ellis buy 24 cans of soda in packs of 6 soda cansEach pack (Contains 6 soda cans) cost £1.80Connor buys 24 cans of soda in packs of 8 soda cans Each pack ( Contains 8 soda cans) cost £2.10To Find :-We have to find out that how much more Ellis has to pay for soda cans than connor? Let's Begin :-Ellis bought total 24 soda cans but in packs
Each pack contain 6 cans
Therefore,
Total packs bought by Ellis
\(\sf{ = }{\sf{\dfrac{ 24}{6}}}\)
\(\sf{ = 4 \: packs }\)
Ellis bought 4 packs of soda cans
The cost of 1 pack = £1.80So,
Total cost paid by the Ellis
\(\sf{ = 4 {\times}{\pounds} 1.80 }\)
\(\sf{ = {\pounds}7.20 }\)
Thus, The total cost paid by Ellis is £7.2
Now,Connor also bought 24 cans of soda but in packs
Each pack contain 8 soda cans
Therefore,Total packs bought by Connor
\(\sf{ = }{\sf{\dfrac{ 24}{8}}}\)
\(\sf{ = 3 \: packs }\)
Connor bought 3 packs of soda cans
The cost of 1 pack = £2.10So,
Total cost paid by the Connor
\(\sf{ = 3 {\times}{\pounds}2.10 }\)
\(\sf{ = {\pounds}6.30 }\)
Thus, The total cost paid by connor is £6.30
From Above we can conclude that,
Ellis had paid more than connorThat is,
Ellis had to pay more than connor by
\(\sf{ = 7.20 - 6.30 }\)
\(\sf{ = {\pounds}0.90}\)
Hence, Ellis paid more than connor by £0.90.
How many 1/16's are in 1/4 inch?
Answer:
There are 4 sixteenths in one-fourth. To find how many sixteenths are in one-fourth, we need to divide 1/4 by 1/16.
Step-by-step explanation:
There are 4 1/16's in 1/4 inch after making a linear equation x(1/16) = 1/4 the answer is 4.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
The expression can be defined as the combination of constants and variables with mathematical operators.
Let x be the number of 1/16 in 1/4 inch
x(1/16) = 1/4
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
After simplification:
x = 16/4
x = 4
Thus, there are 4 1/16's in 1/4 inch after making a linear equation x(1/16) = 1/4 the answer is 4.
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g suppose a small library has five book shelves labeled a-e. in how many different ways can 30 books be placed on these shelves if the books are all different
There are 150 different ways can 30 books be placed on these shelves if the books are all different.
The number of shelves on a bookshelf is 5.
The number of books on one shelf is 30.
The number of books on 5 shelves= The number of books on one shelf *The number of shelves.
which implies that, the total number of books =30*5
By multiplying 30 by 5 we get 150
total number of books =150.
hence, bookshelves have 150 books if books are placed differently.
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12. A rectangle is drawn so that the base lies on thex-axis, and the top corners are on the curvey=48−x 2. Draw a diagram. Find the maximum area of such a rectangle.
the maximum area of such a rectangle will be 144 unit²
What is a rectangle?
Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason.
Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.
The area of rectangle is A = a*b
A = 2x*(48-x²) = 96x - 2x³
We are asked to maximize the Area as changes so hopefully, we can identify a critical point of
It an associated with a maximum, So we need to find \(\frac{dA}{dx}\) = 0
96 - 6x² = 0
x² =96/6 = 16
x = ±6
So the width = 12
Height = 48 - 36 = 12
So the area = 144 unit²
Hence the maximum area of such a rectangle will be 144 unit²
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dy/dt =y+2u, y(0)=5, u= step change of unity
The solution to the provided differential equation with the initial condition y(0) = 5 and u as a step change of unity is y = -2
The provided differential equation is: \(\[\frac{{dy}}{{dt}} = y + 2u\]\) with the initial condition: y(0) = 5 where u is a step change of unity.
To solve this differential equation, we can use the method of integrating factors.
First, let's rearrange the equation in the standard form:
\(\[\frac{{dy}}{{dt}} - y = 2u\]\)
Now, we can multiply both sides of the equation by the integrating factor, which is defined as the exponential of the integral of the coefficient of y with respect to t.
In this case, the coefficient of y is -1:
Integrating factor \(} = e^{\int -1 \, dt} = e^{-t}\)
Multiplying both sides of the equation by the integrating factor gives:
\(\[e^{-t}\frac{{dy}}{{dt}} - e^{-t}y = 2e^{-t}u\]\)
The left side of the equation can be rewritten using the product rule of differentiation:
\(\[\frac{{d}}{{dt}}(e^{-t}y) = 2e^{-t}u\]\)
Integrating both sides with respect to t gives:
\(\[e^{-t}y = 2\int e^{-t}u \, dt\]\)
Since u is a step change of unity, we can split the integral into two parts based on the step change:
\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 2\int_{t}^{{\infty}} 0 \, dt\]\)
Simplifying the integrals gives:
\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 0\]\)
\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt\]\)
Evaluating the integral on the right side gives:
\(\[e^{-t}y = 2[-e^{-t}]_{{-\infty}}^{t}\]\)
\(\[e^{-t}y = 2(-e^{-t} - (-e^{-\infty}))\]\)
Since \(\(e^{-\infty}\)\) approaches zero, the second term on the right side becomes zero:
\(\[e^{-t}y = 2(-e^{-t})\]\)
Dividing both sides by \(\(e^{-t}\)\) gives the solution: y = -2
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Find the midpoint of the segment with the following endpoints.
(8,5) and (0, -1)
Answer:
(4,2)
Step-by-step explanation:
\(Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(8,\:5\right),\:\\\left(x_2,\:y_2\right)=\left(0,\:-1\right)\\\\=\left(\frac{0+8}{2},\:\frac{-1+5}{2}\right)\\\\= (\frac{8}{2} , \frac{4}{2} )\\\\Simplify\\=\left(4,\:2\right)\)
Answer:
(4,2)
Step-by-step explanation:
you know why
Find the values of each exterior angle. b 140° → a= 65° C = e = C 130° The diagram is not drawn to scale. O 0 b = a d = 100 105° O O 0 0
The measures of the exterior angles are:
a = 80°
b = 115°
c = 40°
d = 50°
e = 75°
How to find the measure of the exterior angles?The sum of the measure of an interior angle and the correspondent exterior angle is always 180°, then we can write:
a + 100° = 180°
a = 180° - 100° = 80°
b + 65° = 180°
b = 180° - 65° = 115°
c + 140° = 180°
c = 180° - 140° =40°
d + 130° = 180°
d = 180° - 130° = 50°
e + 105° = 180°
e = 180° - 105° = 75°
These are the angles.
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A train travels at a constant speed during a portion of its cross county route the table shows the distance the train traveled over different intervals of time at this speed.
what is the Speed of the train in Miles per hour?
The Speed of the train in Miles per hour will be 105 miles per hour.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
A train travels at a constant speed during a portion of its cross-country route the table shows the distance the train traveled over different intervals of time at this speed.
The slope represents the speed of the train. Then we have
m = (157.5 - 131.25) / (1.50 - 1.25)
m = 26.25 / 0.25
m = 105 miles per hour
The Speed of the train in Miles per hour will be 105 miles per hour.
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A table is 6 feet long and 3 feet wide. You extend the length of the table by inserting two identical table leaves. The extended table is rectangular with an area of $\left(18+6x\right)$ square feet. Write an expression that represents the length (in feet) of the extended table.
Given that a table is 6 feet long and 3 feet wide. You extend the length of the table by inserting two identical table leaves. The extended table is rectangular with an area of (18+6x) square feet.
The area of a rectangle is the product of the width and the length
The required values are given as;
6 + 2x
Here x represents the width of the leaves
Total length = (6 + 2x) feet
Width = 3 feet
Area, A = (6 + 2x) ft. × 3 ft. = (18 + 6x) ft.²
The expression that represents the length of the table is 6 + 2x
The variable x represents the width of the leaves
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When asked to explain the meaning of "the P-value was P! 0.03", a student says, "This means there is only 0.03 probability that the null hypothesis is true". Is this correct? If not explain what P! 0.03 really mean
If not explain what P! 0.03 really means. The student's explanation is not entirely accurate. The statement "the P-value was P! 0.03" means that the P-value is less than or equal to 0.03, rather than that there is only a 0.03 probability that the null hypothesis is true.
In statistical hypothesis testing, the P-value represents the probability of obtaining a result as extreme or more extreme than the one observed, assuming the null hypothesis is true. If the P-value is less than or equal to the significance level (usually set at 0.05), then we reject the null hypothesis and accept the alternative hypothesis.
Therefore, a P-value of 0.03 means that the observed data is statistically significant and that we can reject the null hypothesis.
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A dress that regularly costs $85 is on sale for $40. What is the percen
markdown?
Answer:
53%
Step-by-step explanation:
Use percent decrease formula.
= 85-40/85
= 45/85
≈ 0.53
= 0.53 * 100%
= 53%
Best of Luck!
8.5x-2(2x+8) Pls give steps and I need it in expanded from
Answer:
\(\frac{9x}{2}\) - 16
Step-by-step explanation:
8.5x - 2(2x + 8)
Use the distributive property to multiply −2 by 2x+8.
8.5x - 4x - 16
Combine 8.5x and −4x to get 4.5x.
4.5x - 16
= \(\frac{9x}{2}\) - 16
Manuela solved the equation 3−2|0.5x+1.5|=2 for one solution. Her work is shown below. 3−2|0.5x+1.5|=2 −2|0.5x+1.5|=−1 |0.5x+1.5|=0.5 0.5x+1.5=0.5 0.5x=−1 x=−2 What is the other solution to the equation? x=−6 x=−4 x=2 x=4
Answer:
Step-by-step explanation:
We'll just work on solving both so you can see what's involved in solving an absolute value equation. Because an absolute value is a distance, we can have that distance being both to the right on the number line of the number in question or to the left. For example, from 2 on the number line, the numbers that are 5 units away are 7 and -3. Using that logic, we will simplify the equation down so we can set up the 2 basic equations needed to solve for x.
If \(3-2|.5x+1.5|=2\) then
\(-2|.5x+1.5|=-1\) What you need to remember here is that you cannot distribute into a set of absolute values like you would a set of parenthesis. The -2 needs to be divided away:
\(|.5x+1.5|=.5\)
Now we can set up the 2 main equations for this which are
.5x + 1.5 = .5 and .5x + 1.5 = -.5
Knowing that an absolute value will never equal a negative number (because absolute values are distances and distances will NEVER be negative), once we remove the absolute value signs we can in fact state that the expression on the left can be equal to a negative number on the right, like in the second equation above.
Solving the first one:
.5x = -1 so
x = -2
Solving the second one:
.5x = -2 so
x = -4
We want to find the other solution of the given absolute value equation.
The other solution is x = -4
We know that:
3 - 2*|0.5*x + 1.5| = 2
It has one solution given by:
- 2*|0.5*x + 1.5| = 2 - 3 = -1
|0.5*x + 1.5| = 0.5
0.5*x + 1.5 = 0.5
0.5*x = 0.5 - 1.5 = -1
0.5 = -1/x
Then we have x = -2
To get the other solution we need to remember that an absolute value equation can be written as:
|x - a| = b
or:
(x - a) = b
(x - a) = -b
Then the other solution to our equation comes from:
|0.5*x + 1.5| = 0.5
(0.5*x + 1.5) = -0.5
0.5*x = -0.5 - 1.5 = -2
x = -2/0.5 = -4
The other solution is x = -4
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Please help me raise my grade!
We need to use the concept of Percentile Rank. The Percentile Rank for score 71 is 33.33 and the score of Viktor is 84.
What is Percentile Rank?According to the pupils in the particular norm group, a student's performance is shown by their percentile rank. Let's try to put the percentile rank in a tidy mathematical equation now that you are clearer on what it actually is. A collection of values A = x1, x2, x3,..., xn with N values will be used in our attempt to calculate the percentile rank of the data point xm. In this scenario:
PR = L / N × 100 where:
PR stands for percentile rank and has a range of 0 to 100;
L is the quantity of values in set A that are less than or equal to the value of your data, xm; and
The entire collection of values in A has a total of N values.
Calculation:Given some of the test scores. Arrange the test Scores in ascending order.
A={58,64,66,70,71,75,77,80,84,85,87,90,93,95,96}
N=15
Now find out the values in the set which are less than or equal to 71.
L=5
Apply, PR=L/N ×100
⇒PR=5/15 × 100
PR=33.33 is the Percentile Rank of score 71.
Viktor is in 60th percentile, so find out L.
⇒60=L/15 ×100
⇒L=60×15/100
L=9.
So 84 is Viktor Score.
We need to use the concept of Percentile Rank. The Percentile Rank for score 71 is 33.33 and the score of Viktor is 84.
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. Seth’s father is thinking of buying his son a six-month movie pass for $40. With the
pass, matinees cost $1.00. If matinees are normally $3.50 each, how many times must
Seth attend in order for it to benefit his father to buy the pass?
Seth must attend the move 17 times
How to find the number of times Seth have to attendThe difference in price of matinee is
= price of matinee normally - price of matinee with movie pass
= 3.50 - 1
= 2.5
We divide to find the number of times
= 40 / 2.5
= 16
In other that Seth's father benefits Seth must attend at least 17 times
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In the accompanying diagram of ASRT, LM || RT. If SL = 4, LR = 3, and RT = 21, find LM. S L R T
Given data:
The first given length is SL=4 units.
The second given length is LR=3 units.
The thi
The length of the minute hand of a clock is 14 cm. The area swept by the minute hand in 15 minutes is
a) 144 cm^2
b)164 cm^2
c)154 cm^2
d)51.33 cm^2
Answer:
c
Step-by-step explanation:
In 60 minutes, minute hand completes 360
0
i.e., one rotation.
⇒ in 1 minute, minute hands completes
60
360
∘
=6
∘
Hence, in 5 minutes the angle covered is is 6×5=30
o
.
The angle of sector formed is 30
o
.
The area swept by the minute hand in 5 minutes=
360
30
×π×14×14
Using π=
7
22
, we get
The area swept by the minute hand in 5 minutes =
3
154
sq. cm
PLEASE HELP ME!!!!
Given that f(x)=x+2 and g(x)=3x^2-1. What is (fg)(x)?
Answer: ???
PLEASE EXPLAIN YOUR REASONING!!
Done!
what does it mean for a sample to have a standard deviation of zero? describe the scores in such a sample. when standard deviation is zero, no two scores are exactly the same. when standard deviation is zero, you cannot measure variability. when standard deviation is zero, the scores have no variability. when standard deviation is zero, there are no data points in the sample.
A sample to have a standard deviation of zero means the score has no variability.
When the score has no variability it points towards the standard deviation being zero, This is the case where all the scores in the sample have the exact same value. This means there is no spread in the data set at all. The data set is combined in a single clumped value. Since there is only one value it would be the mean of the data set. The standard deviation measures the spread of a quantitative data set. This number cannot be a non-negative real number.
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Given the functions, f(x) = 5x2 - 3x 1 and g(x) = 2x2 x - 2, perform the indicated operation. when applicable, state the domain restriction. (f - g)(x) 3 x2 - 2 x 3 3 x2 - 4 x 3 3 x2 - 2 x - 1 3 x2 - 4 x - 1
The result of (f - g)(x) is 3x^2 - 2x - 1. There are no domain restrictions for this operation.
To compute (f - g)(x), we subtract the function g(x) from f(x).
Distributing the negative sign to g(x) yields -2x^2 - x + 2. Combining like terms with f(x) = 5x^2 - 3x + 1, we subtract the corresponding coefficients.
The resulting expression is (f - g)(x) = (5x^2 - 2x^2) + (-3x - (-x)) + (1 - 2) = 3x^2 - 2x - 1.
There are no domain restrictions for this operation, as both f(x) and g(x) are defined for all real numbers.
The resulting function represents the difference between f(x) and g(x) and can be used to analyze the behavior of the two functions when subtracted from each other.
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what is the reciprocal of 7 3/7?
The reciprocal of 7 3/7 is 7/52
Answer: I'm pretty sure it's 7/52
Step-by-step explanation:
7*7 is 49, plus the 3 is 52, then the reciprocal of that. 7/52 is already in it's simplest form. Hope this helps!
I will mark you the brainliest!
30 points!
I am giving you all my points please give step by step explanation of
Co-efficient of y in - 2x ^ 2 * y ^ 2 * z is
The coefficient of y in the expression -2x² * y² * z is 0
How to determine the coefficient of y in the expressionFrom the question, we have the following parameters that can be used in our computation:
An algebraic expression
The algebraic expression is given as
- 2x ^ 2 * y ^ 2 * z
Express the exponents as proper subscripts
So, we have the following representation
-2x² * y² * z
There is no term in the expression with the variable y
Instead, the term has a y² as its variable
This means that the coefficient of y is 0
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Drag and drop an answer to each box to correctly explain the derivation of the formula for the volume of a pyramid.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Consider a prism and a pyramid with the same base and height. The volume of the prism is ________ the volume of the pyramid. The formula for the volume of a prism is V=Bh, where B is the area of the base and h is the height, so the formula for the volume of a pyramid is ________.
Consider a prism and a pyramid with the same base and height. The volume of the prism is four times the volume of the pyramid. The formula for the volume of a prism is V = Bh, where B is the area of the base and h is the height, so the formula for the volume of a pyramid is V = (1/3)Bh.
What is a prism?
A prism is a three-dimensional geometric shape that has two parallel and congruent polygonal bases connected by rectangular or parallelogram-shaped faces.
It has a consistent cross-section throughout its length. Prisms can have various shapes for their bases, such as triangles, rectangles, pentagons, etc.
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Drag the tiles to the correct boxes to complete the pairs.
Match each rational expression to its simplest form.
problem decoded dude
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