Answer:
146
Step-by-step explanation:
What are 2 questions that would require an interpretation of the table?
1. What is the relationship between education level and income in this population? 2. How does the popularity of different music genres vary across different age groups?
What do you mean by an interpretation?An interpretation is a way of understanding or explaining something. Interpretation often involves making connections between different elements or pieces of information to create a coherent understanding. It can also involve applying theories, frameworks, or methods to analyze or explain a particular subject. Ultimately, interpretations are subjective and may vary based on individual experiences and perspectives, making it important to consider multiple interpretations when analyzing a particular subject.
Here is two example questions:
1. What is the relationship between education level and income in this population?
Interpretation: To answer this question, you would need to examine a table that includes columns for education level and income, such as a cross-tabulation or a summary statistics table. You could look for patterns or trends in the data, such as higher incomes being associated with higher levels of education. You might also look for any outliers or anomalies in the data that could be affecting the overall relationship between education level and income.
2. How does the popularity of different music genres vary across different age groups?
Interpretation: To answer this question, you would need to examine a table that includes rows for different age groups and columns for different music genres, such as a frequency table or a bar chart. You could look for patterns or trends in the data, such as certain music genres being more popular among younger age groups or older age groups. You might also look for any outliers or anomalies in the data that could be affecting the overall relationship between age and music genre popularity.
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Leo buy a robot during the ale. If the original price wa $180, how much doe Leo pay?
Leo pays $135 for the robot after applying a 25% discount.
To calculate how much Leo pays for the robot after applying a 25% discount, we can use the following formula:
Amount paid = Original price - (Discount percentage × Original price)
Given that the original price of the robot is $180 and the discount percentage is 25% (0.25), we can substitute these values into the formula:
Amount paid = $180 - (0.25 × $180)
Calculating the expression:
Amount paid = $ 180 - ($45)
Amount paid = $ 135
Therefore, Leo pays $135 for the robot after applying a 25% discount.
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Complete question is :
Leo buy a robot during the sale at 25 % discount. If the original price was $180, how much doe Leo pay?
help i can't do this and i rather not fail math
Answer:
(0,5)
Step-by-step explanation:
c'mon just watch a totorial it's easy.
Top surface of an umbrella look like regular octagon as shown in the figure below find the area
Answer:
Area of figure = 5,095 cm²
Step-by-step explanation:
Given:
Two trapezium
One rectangle
Find:
Area of figure
Computation:
Area of figure = Area of rectangle + Area of 2 trapezium
Area of figure = [L x B] + 2[(1/2)(Sum of parallel side)(Height)]
Area of figure = [118 x 15] + 2[(1/2)(118+15)(25)]
Area of figure = 1,770 + 3,325
Area of figure = 5,095 cm²
A certain paint is sold and bought 1 gallon cans in 1 quart cans. The gallon can cost $12 and the carton cost $5. How much do you save per gallon buying the larger can?
If the paint gallon cost $12 and carton cost is $5 , then the amount saved per gallon buying the larger can is $8 .
We know that 1 gallon is = 4 quarts. So , a one-gallon can is equal to four one-quart cans.
To buy one gallon of paint, we need to buy 4 one-quart cans.
Each one-quart can costs $5, so 4 one-quart cans will cost:
⇒ 4 × $5 = $20 ,
Now, the cost of one gallon of paint if it is bought in one one-gallon can.
⇒ One one-gallon can costs $12.
So , if we buy the larger one-gallon can, we will save:
⇒ $20 - $12 = $8
Therefore, We will save $8 per gallon buying the larger can.
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Distribution A has 50 data values with mean 40 and standard deviation 2.4 . Distribution B has 30 data values with mean 40 and standard deviation 2.8 . Which distribution has more data values at or below 40? Show your work.
50% of the data values in Distribution B are at or below 40.
To determine which distribution has more data values at or below 40, we need to compare the cumulative probabilities of the two distributions at the value 40.
For Distribution A:
Number of data values (nA) = 50
Mean (μA) = 40
Standard Deviation (σA) = 2.4
We can calculate the z-score for the value 40 in Distribution A using the formula:
z = (x - μ) / σ
Substituting the values:
zA = (40 - 40) / 2.4 = 0
Using the z-score, we can find the cumulative probability using a standard normal distribution table or a calculator.
Since the z-score is 0, the cumulative probability is 0.5.
This means that 50% of the data values in Distribution A are at or below 40.
For Distribution B:
Number of data values (nB) = 30
Mean (μB) = 40
Standard Deviation (σB) = 2.8
Similarly, we calculate the z-score for the value 40 in Distribution B:
zB = (40 - 40) / 2.8 = 0
The cumulative probability for a z-score of 0 is also 0.5.
Therefore, 50% of the data values in Distribution B are at or below 40.
Since both distributions have the same cumulative probability of 0.5 at the value 40, it can be concluded that they have an equal number of data values at or below 40.
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A. all real number
B. x>0
C. x>2
D. y>0
E. y>-1
F. y>2
Answer:
domain = E
range = (-&,&)
Step-by-step explanation: solved by graphing calculator
A researcher finds a correlation of 0.55 between an x and a y variable. assume alpha = .05 and a one-tailed test. what is the corresponding effect size (r2)?
The value of the corresponding effect size r square is 0.3025
How to solve for the effect sizeWe have correlation to be given as 0.55
Then r squared = 0.55
Then we would have
r = 0.55 x 0.55
= 0.3025
Hence we conclude that if A researcher finds a correlation of 0.55 between an x and a y variable. assume alpha = .05 and a one-tailed test, the value of the corresponding effect size is 0.3025.
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In ANOVA analysis, when the null hypothesis is rejected, we can test for differences between treatment means by?A. constructing confidence intervals.B. adding another treatment.C. doing an additional ANOVAD. doing a t-test
When the null hypothesis is rejected in ANOVA analysis, we can test for differences between treatment means by doing a t-test.
What is meant by ANOVA method?It is statistically possible to compare the means of two or more groups of data using the ANOVA approach. It includes comparing the null hypothesis, which states that the means of the groups are equal, to the alternative hypothesis, which states that at least one of the means is different. If the null hypothesis is disproved, it signifies that the group means deviate significantly from one another.To test for these differences, we may use a t-test, which is a statistical test used to evaluate if the means of two groups are significantly different from one another. With the use of a t-test, we may assess if there are any statistically variations in terms of the 2 groups.
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What is the slope of the line that contains these points? x = 13, 14, 15, 16 y=11, 6, 1, -4
These sites are on a line with a -5 degree slope.
What is a line's slope?The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b). For instance, the y-intercept for the equation y = 3x - 7 is (0, 7) and the slope is 3.
In response to the query, I see the points as
(x ,y)
(13, 11)
(14, 6)
(15, 1)
(16, -4)
(13, 11) , (14, 6), (15, 1), and (16, -4)
slope = (6 - 11) / (14 - 13)
= - 5/-1
= -5
try again: (1 - 6)/(15 -14)
= -5/1
= -5
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Lucy is saving money to buy a game. So far she has saved $12 , which is two-thirds of the total cost of the game. How much does the game cost?
Answer:
18$
Step-by-step explanation:
Rewrite x2 − 8x + 13 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values. a = 4 and b = 3 a = 3 and b = 2 a = 2 and b = 1 a = 1 and b = 4
Answer:
A
Step-by-step explanation:
The completing the square method is important when transforming a quadratic equation to \((x - a)^2 =b\) form. The values of a and b are 4 and 3
Given:
\(x^2 - 8x + 13 = 0\)
Subtract 13 from both sides
\(x^2 - 8x + 13 -13= 0-13\)
\(x^2 - 8x= -13\)
-------------------------------------------------------------
Next, we perform the following operations
Take the coefficient (k) of x
\(k = -8\)
Divide k by 2
\(k/2 = -8/2\)
\(k/2 = -4\)
Square both sides
\((k/2)^2 = (-4)^2\)
\((k/2)^2 = 16\)
Back to the equation, we add 16 to both sides
-------------------------------------------------------------
\(x^2 - 8x= -13\)
\(x^2 - 8x + 16 = -13 +16\)
\(x^2 - 8x + 16 =3\)
Expand the left-hand side
\(x^2 - 4x -4x+ 16 =3\)
Factorize
\(x(x - 4) -4(x- 4) =3\)
Factor out x -4
\((x - 4) (x- 4) =3\)
Express as squares
\((x - 4)^2 =3\)
Given that:
\((x - a)^2 =b\)
By comparison:
\(a =4;\ b =3\)
The values of a and b are 4 and 3, respectively.
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4. What are the Z-scores for the following Confidence Interval levels? Remember, you MUST account for both tails of the curve, positive and negative, when identifying each. That means you will need to do a little math to obtain the correct z-value. 3 Points 68%= 85% = 99% =
In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.
Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.
We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)
Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!
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There are 45 questions on your math exam. You answered 8/10 of them correctly. How many questions did you answer correctly?
Answer:
36 questions were correct.
Step-by-step explanation:
In order to find how many questions correct, you have to multiply it :
\( \frac{8}{10} \times 45 = 36\)
Answer:
36
Step by Step Explanation:
First, change the fraction to a percentage. Now you need to find 80% of 45. I use this setup here:
80/100 = x/45
To find x, or the number of questions you got correct, you will multiply 45 and 80.
45 x 80 = 3,600
You will then divide the product by the remaining number, which is 100.
3,600/100 = 36
x (questions you correctly answered) = 36
Other Way to Solve:
If that way of solving is too complicated, you can always do this:
8/10 x 45/1
8 x 45 = 360
10 x 1 = 10
360/10 = 36
Label the illustrations based on the Gestalt principles of grouping:
a. closure
b. proximity
c. continuity
d. illusory contours
e. simillarity
Closure is one of the Gestalt principles of grouping which states that elements are perceived as being grouped together if they are near each other and form a closure.
Proximity is another Gestalt principle of grouping which states that elements that are close together are perceived as being related. In the illustration below, the three squares appear to be grouped together because of their proximity to each other.
Continuity is another Gestalt principle of grouping which states that elements are perceived as being grouped together if they are arranged in a continuous line or curve. In the illustration below, the three triangles appear to be grouped together because they are arranged in a continuous line.
Illusory contours is another Gestalt principle of grouping which states that elements are perceived as being grouped together if they create an illusion of a contour or shape.
Similarity is another Gestalt principle of grouping which states that elements are perceived as being related if they have similar characteristics or features. In the illustration below, the two triangles appear to be grouped together because they are the same color and size.
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please help me answer this question if correct I'll make brainylist!!!
Answer:
3
Step-by-step explanation:
I am pretty sure it is 3, because 3+3 is 6+5 = 11
The other box also has 11
So I think the x is 3.... Hope this helps
Answer:
3
Step-by-step explanation:
on the left, you see the 1 by 1 squares from before, which I will call c1s, and you see 6 extra c1s
on the right, there are 2, 3 by 1 rectangles. 3 by 1 = 3*1 = 3
3 is the answer
About 5 out of 10 people entering a community college need to take a refresher mathematics course. If there are 970 entering students, how many will probably need a refresher mathematics course?
I need a answer asap
A vertically oriented square loop of copper wire falls from rest in region which the field B is horizontal, uniform, and perpendicular to the plane of the loop into field- free region, see (Figure The side length of the loop is and the wire diameter is d. The resistivity of copper is PR and the density of copper is pm _ If the loop reaches its terminal speed while its upper segment is still in the magnetic-field region, find an expression for the terminal speea: Correct The magnetic flux throw the circuit decreases here Part C What is the direction of emf and current? View Available Hint(s) Counterclockwise Clockwise Submit Figure 1 of 1 Part D Complete previous part(s) Square Joop copper Wire Ks side length Part E Complete previous part(s) EXECUTE Above this Jine: R unifonn and horizontal Below this line: K =0 side length Wire diameter Part F Complete previous part(s) Vidinal Part G Complete previous part(s)
The terminal speed of the falling square loop can be found using the equation:
v = mg/(2Rρπd)
where m is the mass of the loop, g is the acceleration due to gravity, R is the side length of the loop, ρ is the resistivity of copper, d is the diameter of the wire, and π is the mathematical constant pi.
The direction of the induced emf and current in the loop can be determined using the right-hand rule. Since the magnetic flux through the loop is decreasing as it falls, the induced emf will cause a current to flow in a direction that opposes the change in flux, which is clockwise when viewed from above.
Therefore, the induced current in the loop will flow clockwise when the upper segment is in the magnetic-field region. This current will create its own magnetic field that opposes the external magnetic field, causing the loop to experience a drag force that slows it down until it reaches its terminal speed.
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Please help I am confused I would really appreciate it! I know I need to find a percent but I am not sure how.
Answer:
it should be 90
Step-by-step explanation:
I hope this helps!
Consider the solid bounded by surfaces given by z=x2 + y2, z = 4, and within the cylinder x2 + y2 = 1. Find its moment of inertia about the z-axis iſ the mass density is a constant d
The moment of inertia about the z-axis of this solid will be obtained, if we consider the solid bounded by the surfaces and within the cylinder x2 + y2 = 1. The mass of the solid is obtained by computing the volume of the solid using the triple integral, which is given by:dV = dxdydz.
The moment of inertia about the z-axis of this solid will be obtained, if we consider the solid bounded by the surfaces and within the cylinder x2 + y2 = 1.
The mass of the solid is obtained by computing the volume of the solid using the triple integral, which is given by:dV = dxdydz
The limits for x, y, and z are given as follows:x varies from -1 to 1, y varies from -√(1-x^2) to √(1-x^2), and z varies from x^2 + y^2 to 4.
Since the mass density is a constant d, the moment of inertia is given by:I = ∫∫∫ ρr^2 dVBut, the mass density is a constant, hence:ρ = M/V
Thus,I =The limits for x, y, and z are given as follows:x varies from -1 to 1, y varies from -√(1-x^2) to √(1-x^2), and z varies from x^2 + y^2 to 4.
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a baker uses 3.5 pounds of flower daily to make bread how many ounces would he use in one week?
A survey in one middle school showed that 3 out of 5 students enjoy playing dodgeball. Predict the number of students that enjoy playing dodgeball if there are 485 students in the school.
Answer: 291 students
Step-by-step explanation:
The survey showed that out of a given number of students, 3 out of 5 students probably enjoy playing dodgeball.
If there are 485 students at the school therefore, the number of students who probably enjoy playing dodgeball are:
= Probability * Number of students
= 3/5 * 485
= 291 students
wo random samples of earnings of professional golfers were selected. one sample was taken from the professional golfers association, and the other was taken from the ladies professional golfers association. at , is there a difference in the means? the data are in thousands of dollars. use the critical value method with tables. pga lpga
in general, to perform a hypothesis test comparing the means of two independent samples using the critical value method, you would follow these steps:
State the null and alternative hypotheses. For example, the null hypothesis could be that there is no difference in means between the two populations (i.e., H0: µ1 - µ2 = 0), and the alternative hypothesis could be that there is a significant difference in means (i.e., Ha: µ1 - µ2 ≠ 0).
Determine the level of significance, α, which represents the probability of rejecting the null hypothesis when it is actually true. For example, if α = 0.05, then there is a 5% chance of making a Type I error (rejecting the null hypothesis when it is true).
Calculate the test statistic. The most common test statistic for comparing the means of two independent samples is the t-test. The formula for the t-test is:
t = (x1 - x2) / [s^2pooled/n1 + s^2pooled/n2]^0.5
where x1 and x2 are the sample means, s^2pooled is the pooled variance (calculated using the two sample variances and sample sizes), and n1 and n2 are the sample sizes.
Determine the critical value(s) from the t-distribution table based on the degrees of freedom (df) and level of significance (α). The degrees of freedom for a two-sample t-test is calculated as:
df = n1 + n2 - 2
Compare the test statistic to the critical value(s). If the absolute value of the test statistic is greater than the critical value(s), then reject the null hypothesis; otherwise, fail to reject the null hypothesis.
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A group of friends decided to share
4 chocolate bars. If each friend only
ate of a chocolate bar, how many
friends shared the chocolate bars?
Answer:is it 3?
Step-by-step explanation:
sorry if im wrong im not sure
40 POINTS
Pleaseee help, I need to turn this in soon.
Answer:
The Pythagorean identity \(\sin^2\theta+\cos^2\theta=1\) comes from Pythagorean theorem and the unit circle. In the unit circle, for any point on the circle, there y-coordinate represents the sine of the angle and the x-coordinate represents the cosine of the angle. For any angle \(\theta\), we can create a right triangle using the x-coordinate and y-coordinate as legs of the triangle. The hypotenuse of this triangle would be the radius of the unit circle, which is given as 1.
The Pythagorean theorem states that in all right triangles, the following must be true:
\(a^2+b^2=c^2\), where \(c\) is the hypotenuse of the triangle and \(a\) and \(b\) are two legs of the triangle.
Therefore, we have the following equation:
\((\sin\theta)^2+(\cos\theta)^2=1^2,\\\boxed{\sin^2\theta+\cos^2\theta=1}\)
The Pythagorean identity comes from Pythagorean theorem and the unit circle. In the unit circle, for any point on the circle, there y-coordinate represents the sine of the angle and the x-coordinate represents the cosine of the angle. For any angle , we can create a right triangle using the x-coordinate and y-coordinate as legs of the triangle. The hypotenuse of this triangle would be the radius of the unit circle, which is given as 1.
The Pythagorean theorem states that in all right triangles, the following must be true:
, where is the hypotenuse of the triangle and and are two legs of the triangle.
Therefore, we have the following equation:
Shelby multiplies 7,358.9 by a power of 10 and gets the product
73.589. select all possible factors.
(a) 1/100 "fraction"
(b) 1/10 "fraction"
(c) 1
(d) 0.1
(e) 0.01
(f) 0.001
(a) 1/100 (or 0.01)
(e) 0.01
This factor represents dividing the number by 100.
When Shelby multiplies 7,358.9 by a power of 10 and gets the product 73.589, we can determine the factor by comparing the two numbers.
7,358.9 → 73.589
We can see that the decimal point has moved two places to the left. Therefore, the factor is the one that will shift the decimal point two places to the left. Among the given options, the factor that does this is:
(a) 1/100 (or 0.01)
(e) 0.01
This factor represents dividing the number by 100. The other options (b, c, d, and f) do not represent the correct division by powers of 10 in this case.
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by how much must the sample size be increased if the width of the confidence interval in part (a) is to be halved?
The sample size must be increased by a factor of 4 if the width of the confidence interval is to be halved.
In Equation 6.19, the two-sided confidence interval for the population mean with known variance is given by:
CI = \(\bar{x}\) ± z(α/2) * (σ/√n)
where \(\bar{x}\) is the sample mean, z(α/2) is the z-score corresponding to the desired confidence level, σ is the population standard deviation, and n is the sample size.
To halve the width of the confidence interval, we need to reduce the term z(α/2) * (σ/√n) by a factor of 2. Since z(α/2) and σ are constant, we can focus on reducing √n.
Let's assume the original sample size is n. To halve the width, we need √n to be halved. Therefore, the new sample size, n', can be determined by:
√n' = (√n) / 2
Squaring both sides:
n' = (n / 4)
Therefore, to halve the width of the confidence interval, the sample size needs to be increased by a factor of 4.
Therefore, the sample size must be increased by a factor of 4 if the width of the confidence interval is to be halved.
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Note: The correct question would be as
Consider a two-sided confidence interval of the population mean with known variance (Equation 6.19 in Ang and Tang) a. By how much must the sample size n be increased if the width of the confidence interval is to be halved?
identify whether the equation represents exponential growth,decay, or neither.y=0.2(1.075)×
The general formula for exponential growth and decay is:
\(y=a(1\pm r)^x\)where a is the initial value (that is the amount we have at the beginning) and r is the growth or decay rate. In this equation if we have a plus then we have a growth and if we have a minus we have a decay.
Now, in our case we have 1.075 as the base this can be written as:
\(1+0.075\)Then we have a plus, therefore the function represent an exponential growth.
q4 quickly
Q4) Use the definition equation for the Fourier Transformation to evaluate the frequency-domain representation \( x(t)=f(|t|) \) of the following signal. \[ x(t)=f(|t|) \]
The Fourier Transform of x(t) = f(|t|) is given by:X(f) = 2∫_0^∞ f(t) cos(2πft) dtThe above is the required frequency-domain representation.
Let's evaluate the frequency-domain representation x(t) = f(|t|) of the following signal using the definition equation for the Fourier Transformation.
According to the definition equation of the Fourier transformation, the frequency-domain representation X(f) of x(t) is given by the equation below:X(f) = ∫_(-∞)^∞ x(t) e^(-j2πft) dt
Taking the Fourier Transform of x(t) = f(|t|), we get:X(f) = ∫_(-∞)^∞ f(|t|) e^(-j2πft) dt Let's substitute t with -t to obtain the limits from 0 to ∞:X(f) = ∫_0^∞ f(t) e^(j2πft) dt + ∫_0^∞ f(-t) e^(-j2πft) dt
Since f(t) is an even function and f(-t) is an odd function, the first integral equals the second integral but with the sign changed.
The Fourier transform of an even function is real, whereas the Fourier transform of an odd function is imaginary.
Therefore, the Fourier Transform of x(t) = f(|t|) is given by:X(f) = 2∫_0^∞ f(t) cos(2πft) dtThe above is the required frequency-domain representation.
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By 1850, the European population could not be closely approximated as government statistics were not yet kept. was close to figures from 1800. was over 58 million. was over 173 million. was over 265 million.
By 1850, the European population could not be accurately estimated using government statistics as such data was not systematically recorded.
In the mid-19th century, the collection of reliable population statistics was not yet standardized across European countries. Therefore, there was limited official data available to provide an accurate assessment of the European population during this period. However, based on estimates and historical records, it is believed that the population surpassed 58 million by 1850. This indicates an upward trend in population growth when compared to earlier figures from 1800.
The population growth was influenced by factors such as declining mortality rates, improvements in healthcare, and advancements in agriculture and industrialization, which contributed to increased food production and reduced famines and epidemics. Although the precise number cannot be determined, it is clear that the European population experienced significant growth during the first half of the 19th century.
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