The p-value of the test is 0, which is less than the standard significance level of 0.05, thus we can conclude that the proportion respondents who rated themselves as above average drivers is greater than 0.7.
What is simple random sample?We may test the following using the example data:
In reality, 812.35 respondents identified as better drivers than average.
We can infer that the proportion of respondents who rated themselves as above average drivers is greater than 0.7 because the test's p-value is 0, which is less than the standard significance level of 0.05. 77% of the sample of 1055 adults rated themselves as above average drivers, so 0.77(1055) = 812.35.
As a result, 812.35 respondents actually assessed themselves as better drivers than average.
We examine if the proportion is 7/10=0.7 at the null hypothesis.
H0 is that, with p = 0.7.
If the proportion is larger than 70%, we test for the alternative hypothesis, which is H1:p>=0.7.
The test statistic comes from:
The parameters for this issue are p dash = 0.77, p = 0.7, and n = 1055.
As a result, the test statistic's value is:
z = 351.758 root
The likelihood of discovering a sample proportion above 0.77, calculated as 1 minus the p-value of z = root of 351.758, is the test's p-value.
According to the z-table, the p-value for z = root of 351.758 is 1, and 1 - 1 equals 0.
Since the test's p-value is zero and is below the conventional significance level of 0.05, we can infer that a higher proportion of respondents than 0.7 evaluated themselves as above-average drivers.
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Sketch a cone with diameter of 16 feet and height of 10 feet, then find the volume. If needed, round to the nearest hundredth.
The volume is 2679.46ft^3.
What is volume?
Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.
We know that
The volume of the cone is equal to
[tex]V=\frac{1}{3} \pi r^2 h[/tex]
where
r is the radius of the circular base of the cone [tex]$\mathrm{h}$[/tex] is the height of the cone
we have
[tex]$$\begin{aligned}& r=16 f t \\& h=10 f \mathrm{t}\end{aligned}$$[/tex]
assume
[tex]\pi=3.14[/tex]
substitute the values
[tex]$$\begin{aligned}& V=\frac{1}{3}(3.14)(16)^2(10) \\& V=2679.46 f t^3\end{aligned}$$[/tex]
The drawing in the attached figure
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The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 274 people entered the park, and the admission fees collected totaled 836.00 dollars. How many adults were admitted?
a. 209
b.170
c.104
Therefore in this question the solution of particular equation is 108 children and 175 adults in the amusement park on that particular day.
What is Equation ?When two expressions' values are set to be equal by a mathematical statement, that statement is known as an equation. To put it another way, it is a mathematical expression that means "this is equivalent to that." An equal sign, a mathematical expression, and a mathematical expression can all be seen on the left side of the symbol. The right ride of the equation frequently contains zero.
Let's first configure our system by giving x and y meaningful definitions. Let x be the total number of kids and y be the total number of adults.
Children cost $1.50, while adults cost $4.00. The number of kids, x, is multiplied by 1.5 to determine how much money a group of kids will cost. The 1.5x symbol stands for this. We will use 4y for adults, who must pay $4 to enter. On the specified day, $862 in total revenue was earned. We must add 1.5x and 4y to get at this sum.
1.5x + 4y = 862 equation required
Second equation: The total number of individuals present on the day is 283. X and Y, or the number of children and adults, must be added together to arrive at this figure.
x + y = 283
System of equations:
1.5x + 4y = 862
x + y = 283
Thus,
x + y = 283
y = 283 - x
Substitute y = 283 - x
862=1.5x + 4 (283 - x)
1.5x + 1132 - 4x = 862
1132 - 2.5x = 862
-2.5x = -270
x = 108
Substitute x =108 back into y = 283 - x
y = 283 - 108 = 175
Therefore there were 108 children and 175 adults in the amusement park on that particular day.
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You want to have a $70,000 college fund in 13 years. How much will you have to deposit now under the scenario below. Assume that you make no deposits into the account after the initial deposit.
An APR of 7.4% compounded daily
You will able to deposit X=7000.182500⁴⁷⁴⁵/182537⁴⁷⁴⁵now under the scenario Below.
What is initial deposit?A minimum deposit or initial deposit is the lowest minimum amount of the money required to open an object account with all the financial institution, such as the bank or the brokerage firm.
Based on the given scenario the formulate is-
X×(1+7.4%÷ 365)¹³×365 = 70000
Now we have to solve the equation -
X×(1+0.074/365)¹³×365=70000
Convert the number
X× 1+ (74/365000)¹³×365=70000
Now reduce
X×(1+37/182500)¹³×365=70000
Now we have to calculate=
X× (1+ 37/182500)⁴⁷⁴⁵=70000
We have to transfer the edition
X× (1+ 37/182500)⁴⁷⁴⁵=70000
Devide both side
X= 70000/ ( 182537/182500)⁴⁷⁴⁵
By Calculation we can get
X= 70000×182500^4745/182537⁴⁷⁴⁵
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AB of rhombus ABCD passes through the point (6, 6) and is perpendicular to the graph of y=3/4x-11. CD is parallel to AB and passes through the point (-6, 10). Select the equation in slope-intercept form of the line that includes CD.
A. y=4/3x+2
B. y=-4/3x+2
C. y=-3/4x+2
D. y=3/4x+2
Answer: [tex]y=-\frac{4}{3}x+2[/tex]
Step-by-step explanation:
The slope of [tex]AB[/tex] is [tex]-4/3[/tex]. Thus, the slope of [tex]CD[/tex] is also [tex]-4/3[/tex].
Thus, the equation of [tex]CD[/tex] can be found as follows:
[tex]y-10=-\frac{4}{3}(x+6)\\\\y-10=-\frac{4}{3}x-8\\\\y=-\frac{4}{3}x+2[/tex]
determine the sum of all the multiples of the first integer from the last problem or the second integer from the last problem - below 1000
The total of all multiples of either the first or second integer from the previous issue that are below 1000 will be 233168.
What is multiples of integer?Manifold is the fundamental definition of multiplicity. A multiple in mathematics refers to the outcome of multiplying two numbers together. In mathematics, multiples are the results of multiplying an integer by a given number. A number that is produced by multiplying a given integer by a natural number is referred to as a multiple of that number. The factors of 20, for instance, are 1, 2, 4, 5, 10, and 20. The multiples of 20 include, for instance, 20, 40, 60, 80, 100, etc.
Here,
The statement of the problem is to sum the multiples of 3 and 5 below 1000, not up to and equal 1000.
The equation is attached in image,
166833+99500−33165=233168
The sum of all the multiples of the first integer from the last problem or the second integer from the last problem - below 1000 will be 233168.
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Begin a rhythm: clap, whistle, click (your fingers), snap, stomp, clap, whistle, click, snap, stomp, clap, whistle, click, snap, stomp, clap, whistle, click … What will you be doing on the 51st beat? Explain
Answer:
clap
Step-by-step explanation:
since the rhythm repeats every 5, then you will be clapping on the fifty first beat. on the 6th beat in the rhythm, its a clap, so since 50/5 is 10 then the next will be clap
In a sample of 4972 car owners, 2326 said that they would seriously consider purchasing an electric-powered vehicle. What is the point estimate for the proportion of all car owners who would seriously consider purchasing an electric-powered vehicle?
The point estimate proportion that they would seriously consider purchasing an electric-powered vehicle is 0.468.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
let y be 2326 said that they would seriously consider purchasing an electric-powered vehicle and x be the sample of 4972 car owners.
∴ The point estimate proportions is y = px.
2326 = 4972p.
p = 2326/4972.
p = 0.468.
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which postulate
ASA
SSS
AAS
HL
Answer:
asa
Step-by-step explanation:
there Is angle
there is side
there is angle but not shown
Please help this is AP calculus. Please answer all parts due in 2 hours
a) The velocity of the particle is described by v(t) = - 3 · t² + 12 · t - 9.
b) The particle is at rest when t = 1 s. and t = 3 s.
c) The particle changes its direction when t = 1 s. and t = 3 s.
d) The particle is moving right when 0 s < t < 1 s and t > 3 s and left when 1 s < t < 3 s.
e) The acceleration of the particle is described by a(t) = a(t) = - 6 · t + 12.
f) The velocity increases at t = 1 s.
g) The particle has a total distance of 54 meters.
How to analyze the kinematics of a particle
In the statement we find the function of a particle that describes its position (y), measured in meters, in time (t), in seconds. Herein we shall analyze the function to determine all important features.
a) The velocity of the particle (v), in meters per second, is the first derivative of the function position:
v(t) = - 3 · t² + 12 · t - 9
b) The particle is at rest when v(t) = 0. Now we proceed to determine the roots of the resulting polynomial:
- 3 · t² + 12 · t - 9 = 0
t = 3 s. or t = 1 s.
c) The particle changes its direction when v(t) = 0. Then, this change happens in t = 1 s and t = 3 s.
d) The particle is moving right when v(t) > 0, then:
(t - 1) · (t - 3) > 0
There are two possible intervals: (i) 0 s < t < 1 s, (ii) t > 3 s. The particle is moving left when 1 s < t < 3 s.
e) The acceleration is the second derivative of function position, thus:
a(t) = - 6 · t + 12
f) The velocity increases when a(t) > 0. Then, the acceleration at t = 1 s is:
a(1) = - 6 · 1 + 12
a(1) = 6
The velocity is increasing at t = 1 s.
g) The total distance (s), in meters, traveled is determined by the following expression:
s = |x(1) - x(0)| + |x(3) - x(1)| + |x(6) - x(3)|
s = |7 - 11| + |11 - 7| + |- 43 - 11|
s = |- 4| + |4| + |- 54|
s = 54
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hi!! if someone could help me out and find the answer for number 17 i would appreciate it sm:) 100 points im just trying to get some of my work done by tomorrow
Answer: y=−2x+16
Step-by-step explanation:
Simplify (m^6n)^3.
mn^21
m^9n^3
m^18n
m^18n^3
After solving the given expression, the value obtained is [tex](m^1^8^n)[/tex]. Hence, option C is correct.
What is Simplification?To streamline a phrase, one must use many techniques to make it shorter and simpler. The actions needed to reduce things are carried out in a predetermined sequence known as BODMAS.
Minimize a fraction to its simplest form to make it simpler. A fraction is said to be in its simplest form if both its numerator and denominator only include the integer.
As per the given information in the question,
The expression is,
[tex](m^6^n)^3[/tex]
= [tex](m^1^8^n)[/tex]
Therefore, option C is correct.
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opinions: y= -3x + 5, y = - 1/5x + 3, y= 1/3x + 1/5, y=1/3x + 5, y= 3x + 1/5
The required matches for the given equation of line are explain below.
Explain general equation of line.The general equation of a straight line is y = mx + c, where m is the inclination, and y = c is the worth where the line cuts the y-hub. This number c is known as the block on the y-pivot. The condition of a straight line with slope m and block c on the y-hub is y = mx + c.
According to question:We will find the graph, by using general form of equation
y = -3x + 5
Its y-intercept is 5,and angle is negative,So graph(3) is matches
similarly,
y = - 1/5x + 3
Its y-intercept is 3,So graph(1) is matches
y=1/3x + 5
Its y-intercept is 5,and angle is Positive,So graph(4) is matches
y= 3x + 1/5
Its y-intercept is 1/5,and angle is more than one,So graph(2) is matches
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The graph above shows the distance a tow truck is away from the company's base.
What is the rate of change of change from hour 4 to hour 7 ?
Answer:
50
Step-by-step
Which of the following statements is TRUE?
a. If f(x) and g(x) are differentiable functions defined on the closed interval [a, b], and f(x) attains its global maximum at x = c and g(x) d, then the function f(x) · g(x) attains its global maximum at x = attains its global maximum on [a, b] at x = c · ·d. b. The critical points of f' (x) are same as the critical points of f(x) c. The global maximum value of a differentiable function f(x) on a closed interval [a, b] must occur at a critical value or an endpoint. d. All of the statements are false. e. Every local maximum a global maximum
The global maximum value of a differentiable function f(x) on a closed interval [a, b] must occur at a critical value or an endpoint is correct. Statement C.
What is a critical value of a function?The critical value is the value of x for which the double derivative of the function f(x) becomes zero.
When double derivative becomes zero, the graph of the function is neither increasing nor decreasing and hence, the the function attains either
a maxima or a minima.
Hence, he global maximum value of a differentiable function f(x) on a closed interval [a, b] must occur at a critical value or an endpoint.
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[tex]\frac{1}{10} +\frac{7}{10}[/tex]
Answer given in the screenshot below. ↓
The minimum amount required by a bank to open a new checking account is $75. Write an inequality that represents the amounts in dollars a that could be used to open a new account.
The Inequality expression that shows the above situation is x ≥ 75.
What is inequality:The word "inequality" describes the state of being unequal, In Inequalities like in equations, we compare two values but not with the equal signs here we use signs like Not equal, less than, less than or equal to; greater than or greater than or equal to, etc.
Here we have,
The minimum amount required to open a new checking account is $ 75
Let us assume that we used $ x dollars to open a bank account
By the given data,
The amount is a minimum of $ 75
=> x ≥ 75 [ x is less than or equal to $ 75 ]
Therefore,
The Inequality expression that shows the above situation is x ≥ 75.
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How much simple interest is made on an investment of $800 for 7 years at 6%
Answer:
$1,136
Step-by-step explanation:
The simple interest equation is A = P(1 + rt)The classroom outside bag had 5 frisbees in it. If 25% of the outside toys are frisbees, then how many total toys are in the bag?
Use the following function rule to find f(11).
f(x)=12|x+8|
f(11)=____
Answer:
f(11) = 228
Step-by-step explanation:
which inequality is less than the quadratic function with zero -7 and 1 and includes the point (2,27/2) on the boundary?
The second inequality, y < (3/2)x² + 9x -21/2, is less than the quadratic function with zero -7 and 1 and includes the point (2, 27/2).
What is a quadratic equation?The equation of the form ax² + bx +c is known as a quadratic equation.
Given that, the zeros of the quadratic function are -7 and 1 and include the point (2,27/2).
Substitute x = 1 into the given inequality to check whether any of them becomes less than 0 or not:
From the first inequality:
y < -3/2 + 9 + 21/2
y < 18
From the second inequality:
y < 3/2 + 9 -21/2
y < 0
Since the inequality is less than 0, it is also less than the quadratic function at x = 1.
Similarly, checking the third inequality also gives y < 0, but the fourth doesn't.
Now, from the second and the third inequality, check which one is less than 27/2 for x = 2:
From the second inequality:
y < 6 + 18 -21/2
y < 27/2
From the third inequality:
y < -6-9+21/2
y < -27/2
Since the second inequality, y < (3/2)x² + 9x -21/2, is less than 0 at x =1 and less than 27/2 at x=2, it is also less than the quadratic function whose zeros are -7 and 1 and includes the point (2,27/2).
Hence, the second inequality, y < (3/2)x² + 9x -21/2, is less than the quadratic function with zero -7 and 1 and includes the point (2, 27/2).
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Answer:
it’s B took the test
Step-by-step explanation:
Help me pls i need help
Answer:
Step-by-step explanation:
oh wow
do parenthaseses change the result in an expression involving only addtion?
Answer:Yes
Step-by-step explanation:It changes the answer,
Answer:
Step-by-step explanation:
nope
Example:
5+(6+3) (+) (+) = +
5+9= 14
Justin, age 52, wants to pay no more than $800 a year in life insurance. If the annual life insurance premium rate (per $1000 of face value) is $5.38, what is the largest 15-year term policy be can
buy without spending more than $800 annually?
O $80,700
O $148,700
O $538,000
O $800,000
The largest 15-year term policy he can buy without spending more than $800 per annum is $148,699.
What is insurance?
An agreement to pay compensation to another party in the event of a specific loss, damage, or injury is known as insurance, and it is a way to protect against financial loss. It is a type of risk management that is mostly applied to protect against the risk of a potential or unforeseen loss.
The terms "insurer," "insurance company," "insurance carrier," and "underwriter" all refer to organizations that offer insurance.
Given: Justin, age 52, wants to pay no more than $800 a year in life insurance. If the annual life insurance premium rate (per $1000 of face value) is $5.38.
Annual life insurance premium rate = $5.38 per $1000 of the face value.
Largest 15-year term policy possible
= [tex]\frac{800}{5.38}*1000 = 148,698. 885 = 148, 699[/tex]
Therefore, the largest 15-year term policy he can buy without spending more than $800 per annum is $148,699.
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Substitutions this equation
8x-y=-6
2x-3y=4
A street light is mounted at the top of a 6-meter-tall pole. A man 2 m tall walks away from the pole with a speed of 1.4 m/s along a straight path. How fast (in m/s) is the tip of his shadow moving when he is 15 m from the pole?
2.1m/s is the tip of his shadow moving when he is 15 m from the pole
What are Similar Triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
x is the distance from the man to the pole, and y is the distance from the tip of the man's shadow to the pole. i assume the man and pole are standing straight up, which means the 2 triangles are similar.
(y-x)/y=2/6
(y-x)/y=1/3
Apply cross multiplication
3(y-x)=y
3y-3x=y
2y=3x
y=3/2x
differentiate both sides with respect to t or time.
dy/dt=3/2dx/dt
By given dx/dt=1.4m/s
dy/dt=3/2×1.4
dy/dt=2.1m/s
Hence, 2.1m/s is the tip of his shadow moving when he is 15 m from the pole
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Find x and y in the figure below
One of the interior angles of the triangle, angle y is equal to 67° and the exterior angle x is equal to 113°.
Sum of interior angles of a triangle.The interior angles of a triangle have a total sum of 180°.
Considering the triangle with interior angles: y, 51°, and 62° we have that;
y + 51° + 62° = 180°
y + 113° = 180°
y + 113° - 113° = 180° - 113° {subtract 113° from both sides}
y = 67°
the exterior angle x and the angle y lie on a straight line, so they sum up to 180°.
x + 67° = 180°
x + 67° - 67° = 180° - 67° {subtract 67° from both sides}
x = 113°
Therefore, the interior angle y = 67° and the exterior angle x = 113°.
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Question Divide. 27÷655 Enter your answer by filling in the boxes. R
100 points and FREE BRAINLYEST IF YOU ANSWER WRONG I WILL ASK A ADIMIN TO DELETE YOUR ANSWER
Answer: 24. The remainder is 7
Step-by-step explanation:
Solve for a
2x-2=-3x+13
X =
To solve for x, we need to isolate x on one side of the equation. To do this, we can first move all the terms that do not contain x to the right side of the equation by adding 3x and 2 to both sides:
2x - 2 + 3x + 2 = -3x + 13 + 3x + 2
5x = -3x + 15
8x = 15
Dividing both sides by 8, we get:
x = 15/8
= 1.875
Therefore, the value of x is approximately 1.875.
The value of x in equation 2x-2= -3x+13 is 3
To solve this equation we need to find the value of x so that all x terms should be one side and all constants should be at ones side:
2x+3x=13+2
5x=15
Now divide both side with 5 then, we get:
5x/5=15/5
x=3
Therefore, the value of x is 3
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would appreciate help on this percentage question, its grade 7 level.
a) The percentage reduction in the price of the television each time is as follows:
First time = 10.42%Second time = 11.63%.b) The absolute change after the two reductions amounting to $100 is that the price of the television is now $380.
c) The overall percentage decrease in the price of the television is 20.83%.
What is the percentage?The percentage is the ratio.
The percentage is computed as the quotient of the smaller value (numerator) over the larger value (denominator), between two values.
Percentages are depicted using the percentage sign (%) to show that the value is expressed over 100.
Price of the television = $480
First price reduction = $50
New price after the first price reduction = $430 ($480 - $50)
Percentage reduction in price = 10.42% ($50/$480 x 100)
Second price reduction = $50
New price after the second price reduction = $380 ($430 - $50)
Percentage reduction in price = 11.63% ($50/$430 x 100)
Overall percentage decrease = 20.83% ($100/$480 x 100)
Thus, overall, the price of this television decreased by 20.83 percent.
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Find the domain and solve 2*4^(sqrt(5x^2-8x)+1)+4=33*2^(sqrt5x^2-8x)
To find the domain of the expression 24^(sqrt(5x^2-8x)+1)+4=332^(sqrt(5x^2-8x)), we need to consider the values of x for which the expression is defined.
First, we need to consider the square root term, sqrt(5x^2-8x). The square root of a number is only defined for nonnegative values, so we need to find the values of x for which 5x^2-8x is nonnegative. We can do this by setting 5x^2-8x equal to 0 and solving for x:
5x^2-8x=0
5x(x-8)=0
We can see that x=0 and x=8 are the solutions to this equation. Since the square root of a negative number is not defined, the expression 24^(sqrt(5x^2-8x)+1)+4=332^(sqrt(5x^2-8x)) is only defined for x values that are greater than or equal to 0 and less than or equal to 8. This means that the domain of the expression is x ∈ [0, 8].
To solve the equation 24^(sqrt(5x^2-8x)+1)+4=332^(sqrt(5x^2-8x)), we can start by isolating one of the exponential terms on one side of the equation. Let's isolate the term 2^(sqrt(5x^2-8x)):
24^(sqrt(5x^2-8x)+1)+4=332^(sqrt(5x^2-8x))
22^(2sqrt(5x^2-8x)+1)=332^(sqrt(5x^2-8x))
2^(2sqrt(5x^2-8x)+1)=16.52^(sqrt(5x^2-8x))
2sqrt(5x^2-8x)+1=4.5+sqrt(5x^2-8x)
sqrt(5x^2-8x)=3.5
5x^2-8x=12.25
5x^2-8x-12.25=0
We can use the quadratic formula to solve this equation for x:
x = (-(-8) ± sqrt((-8)^2 - 45(-12.25))) / (2*5)
x = (8 ± sqrt(64 + 97)) / 10
x = (8 ± sqrt(161)) / 10
x = (8 ± sqrt(289)) / 10
x = (8 ± 17) / 10
x = -9/10 or 25/10
Since x must be greater than or equal to 0 and less than or equal to 8, the only solution that is within the domain of the expression is x=25/10, or x=2.5.
Therefore, the solution to the equation 24^(sqrt(5x^2-8x)+1)+4=332^(sqrt(5x^2-8x)) is x=2.5.
what do you mean by domain of a function?
The domain of a function is the set of all input values for which the function is defined. In other words, it is the set of all values that can be plugged into the function as an argument, or input, and produce a valid output
For example, consider the function f(x) = x^2. The domain of this function is all real numbers, since the function is defined for any value of x. However, some functions may not be defined for certain values of x. For example, the function g(x) = 1/x is not defined for x=0 because division by zero is not allowed. In this case, the domain of the function g(x) would be all real numbers except for x=0.
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