You have the following points for the relation between minutes and miles respectively:
(4 , 22)
(8, 44)
In order to calculate the constant of porportionality use the formula:
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the given points:
m = (44 - 22)/(8 - 4)
m = 22/4
m = 5.5
Hence, the constant of proportionality is 5.5
THe meaning of the point (4 , 22) is:
4 means 4 miles and 22 means 22 minutes. That is, it has been traveled 4 miles in 22 minutes.
chapter 19 guidelines explain coding for burns. burns of the same site and on the same side but of different degrees are classified identifying the fill in blank degree recorded in the diagnosis.
Burn coding is difficult and demands that you take many things into account. Understanding the different types of burns, estimating the size of the burn depending on age, and being aware of how this guess differs when coding for ICD-10-CM are all necessary for proper coding and documentation.
Burn Degree
⇒The depth of the burn determines the classification of the burn severity. There are six different burn degrees (the relevant skin depth is shown in
⇒The epidermis, the skin's outermost layer, is hurt by first-degree burns. These burns often take a week to heal on their own and are dry, painful, and red (erythematous). A sunburn is a typical illustration.
⇒Blistering and damage that partially penetrates the layer below the epidermis are signs of second-degree burns (dermis). These burns may leave a scar if they are serious enough to require a skin graft, which is a covering of natural or artificial skin to cover and protect the body while it heals.
⇒Third-degree burns result in full-thickness tissue loss and damage to both skin layers, if not total destruction (including hair follicles, oil glands, and sweat glands). Skin grafts are always required for these burns.
⇒Burns of the fourth degree penetrate fat.
⇒Burns of the fifth degree penetrate the muscle.
⇒Burns of the sixth degree cause damage that reaches the bone.
Code Using
Site and severity are the first-listed codes (from categories T20-T25)
1. A combination code that reports both the location and seriousness of the injury will be your first-listed code. The anatomical region where the burn or corrosion has occurred is referred to as the site. The T20–T28 range of code descriptions initially defines a generic component or region of the human body.
2. Each category's fourth character specifies the severity (except categories T26-T28). The degree of a burn's severity is determined using the layers of skin.
3. You can report more information about the burn's anatomical site using the fifth character.
4. Laterality is represented by the sixth character.
Extent (from code category T31/T32) is the next code listed.
1. According to the amount or percentage of the body surface affected, burns and corrosions are categorised.
2. According to the traditional "rule of nines," total body surface area (TBSA) involved is reported using a code from T31 for a burn or T32 for corrosion, as shown in Figure 2.
3. For adult patients, the rule of nines allocates 1% of TBSA to the genitalia and multiples of 9% to other body parts (9 percent for the head, 9 percent per arm, 18 percent per leg, etc.).
4. For neonates, a modified version of the rule of nines is used to account for their somewhat larger head (18%) and smaller legs (14 percent, each).
5. The fourth character that is necessary indicates the proportion of the patient's complete body that has been burned.
6. The fifth character indicates the percentage of the patient's body that only has corrosions or burns of the third degree.
Further code(s): Code for external cause (s)
1. The reporting of suitable external cause codes for burn patients is advised by ICD-10-CM recommendations. However, not all payers recognise these codes.
2. External cause: To pinpoint the burn's origin, location, and purpose.
Agent: To determine the corrosion's chemical cause.
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Can you help me please asap
The general solution to the given differential equation is:
y = (x/12) - (1/288)
How to solve the Differential Equation?
We want to solve the differential equation given as: y' - 24xy = -2x
The integrating factor is given by the exponential of the integral of the coefficient of y, which in this case is -24x. Therefore, the integrating factor is e^(-24x).
Multiplying the entire equation by the integrating factor, we get:
e^(-24x)y' - 24xe^(-24x)y = -2xe^(-24x)
The left side of the equation is the derivative of (e^(-24x)y) with respect to x:
(d/dx)(e^(-24x)y) = -2xe^(-24x)
Integrating both sides with respect to x, we have:
e^(-24x)y = ∫(-2xe^(-24x))dx
Integrating the right side, we get:
e^(-24x)y = -∫(2xe^(-24x))dx
To evaluate the integral on the right side, we can use integration by parts. Let's differentiate -2x and integrate e^(-24x):
u = -2x (differential of u = -2dx)
dv = e^(-24x) (integral of dv = -1/24e^(-24x)dx)
Using the integration by parts formula:
∫uv dx = uv - ∫v du
We can compute the integral as follows:
-∫(2xe^(-24x))dx = -[(-2x)(-1/24e^(-24x)) - ∫(-1/24e^(-24x))(-2dx)]
= -[x/12e^(-24x) + 1/12∫e^(-24x)dx]
= -[x/12e^(-24x) + 1/12(-1/24)e^(-24x)]
= -[x/12e^(-24x) - 1/(12*24)e^(-24x)]
= -[x/12e^(-24x) - 1/(288e^(-24x))]
= -[x/12 - 1/288]e^(-24x)
Substituting this back into the previous equation, we have:
e^(-24x)y = -[-(x/12 - 1/288)e^(-24x)]
Simplifying further:
e^(-24x)y = (x/12 - 1/288)e^(-24x)
Canceling out e^(-24x) on both sides:
y = x/12 - 1/288
Therefore, the general solution to the given differential equation is:
y = x/12 - 1/288
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Weston Inc. just agreed to pay £19632 today, £19827 in one year later, £32464 in two years later to a landlord to explore for, but not extract valuable materials. If the landlord invests the money at a rate of 5.81% compounded annually, what is the investment worth two years from today?
Your deposit must be returned by the landlord within 30 days, less any sum subtracted for damages.
What is the most a landlord can raise rent?To maximize their earnings, landlords set the rent on rental properties at market rates. Should they... Your reported income plays a big part in how much rent you will have to pay.
3% of the existing rent or the local Consumer Price Index (CPI), whichever is higher, is the maximum increase in rent that the landlord is permitted to make once every 12 months. The requirements of California Tenant Protection Act (AB1482) are expressly applicable to rent hikes.
A renter may be evicted even without a lease. Considering that there isn't a lease or rental agreement, a landlord or property management is free to evict a renter for any reason. The sole need under law would be that the renter being evicted receive a formal notice before being removed.
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100 Points! Algebra question. Graph the function. Thank you!
The graph of the function is attached
The amplitude and the period are 5 and 2π
How to determine the amplitude and period of the functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = 5cos(θ)
A sinusoidal function is represented as
f(x) = Acos(B(x + C)) + D
Where
Amplitude = APeriod = 2π/BSo, we have
A = 5
Period = 2π/1
Evaluate
A = 5
Period = 2π
Hence, the amplitude is 5 and the period is 2π
The graph of the function is attached
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Simplify by combining like terms.
6.92i – 5.3i
Answer:
1.62i
Step-by-step explanation:
Collect like terms by subtracting their coefficients.
(6.29-5.3) x i
Subtract the numbers.
1.62i
Was this the answer you were looking for?
Answer The Question for Brainliest
Answer:
turn it 90 degrees, hope this helps
Step-by-step explanation:
Answer:
so go to the 120 degree line and make sure the line is straight across from zero and thin dray a line going from 120 down to the bottom of where the zero is
Step-by-step explanation:
Measure Of Angle T. WILL GIVE BRAINLIEST
Answer:
m<T = 88
Step-by-step explanation:
7x + 4 + 5x + 3 + 2x + 5 = 180
14x + 12 = 180
14x = 168
x = 12
<T = 7x + 4
7(12) + 4
84 + 4
88
Simplify the following and express your answers in positive exponent form:
Qii)
one over y squared multiply by t squared
You have recently been hired to survey water park! The park attractions can be found at the locations shown in the table on your grid map. Use this data to answer the questions to follow. Location Ordered Pairs Help Center (2, 3) Large Whirlpool (3, 14) Water Slide #1 (-6, 3) Water Slide #2 (16, 4) Water Slide #3 (-7, 6) Toddler Area (-3, -9) Lazy River (-7, 10) Concessions (6, -6) Gift Shop (8, -9) Restrooms (2, -9) Security Desk (5, 4) After identifying each attraction’s location with ordered pairs, you are now ready to calculate the slope between attractions using the slope formula. Help Center to Water Slide #1 Toddler Area to Concessions Gift Shop to Restrooms Security Desk to Water Slide #2 Lazy River to Large Whirlpool Now calculate the point between these attractions by applying the midpoint formula. Help Center to Water Slide #1 Toddler Area to Concessions Gift Shop to Restrooms Security Desk to Water Slide #2 Lazy River to Large Whirlpool Using your slope and end points calculate a linear equation, y = mx + b. and solve for b. Help Center to Water Slide #1 Toddler Area to Concessions Gift Shop to Restrooms Security Desk to Water Slide #2 Lazy River to Large Whirlpool
Help Center to Water Slide #1: Level line, y = 3. Toddler area to Concessions: Negative incline, y = (-1/3)x - 7. Gift Shop to Restrooms: Level line, y = -9. Security desk to Water Slide #2: Even line, y = 4. Lazy river to large Whirlpool: Positive incline, y = (2/5)x + 61/5.
How to calculate the slope between attractions using the slope formula.To calculate the slope between attractions and discover the midpoints, we'll utilize the given requested sets for each fascination. Here are the calculations:
Help Center to Water Slide #1:
Slope = ((y2 - y1) / (x2 - x1)) = ((3 - 3) / (-6 - 2)) = / -8 =
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((2 + (-6)) / 2), ((3 + 3) / 2)) = (-2, 3)
Toddler area to Concessions:
Slope = ((y2 - y1) / (x2 - x1)) = ((-6 - (-3)) / (6 - (-3)) = (-3 / 9) = -1/3
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((-3 + 6) / 2), ((-9 + (-6)) / 2)) = (1.5, -7.5)
Gift Shop to Restrooms:
Slope = ((y2 - y1) / (x2 - x1)) = ((-9 - (-9)) / (8 - 2)) = / 6 =
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((8 + 2) / 2), ((-9 + (-9)) / 2) = (5, -9)
Security desk to Water Slide #2:
Slope = ((y2 - y1) / (x2 - x1)) = ((4 - 4) / (16 - 5)) = / 11 =
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((5 + 16) / 2), ((4 + 4) / 2) = (10.5, 4)
Lazy River to Large Whirlpool:
Slope = ((y2 - y1) / (x2 - x1)) = ((10 - 14) / (-7 - 3)) = (-4 / -10) = 2/5
Midpoint = ((x1 + x2) / 2)), ((y1 + y2) / 2)) = ((-7 + 3) / 2), ((10 + 14) / 2)) = (-2, 12)
Presently, let's calculate the linear equations for each case:
Help Center to Water Slide #1:
The Slope is 0, and the y-coordinate is consistent, so the equation is y = 3.
Toddler area to Concessions:
The Slope is -1/3, and the y-intercept can be calculated utilizing the midpoint facilitates:
-7.5 = (-1/3)(1.5) + b
-7.5 = -0.5 + b
b = -7
Gift Shop to Restrooms:
The Slope is 0, and the y-coordinate is steady, so the equation is y = -9.
Security desk to Water Slide #2:
The Slope is 0, and the y-coordinate is steady, so the equation is y = 4.
Lazy River to Large Whirlpool:
The Slope is 2/5, and the y-intercept can be calculated utilizing the midpoint arranges:
12 = (2/5)(-2) + b
12 = -4/5 + b
b = 61/5
The Linear equations for each case are as follows:
Help Center to Water Slide #1: y = 3
Toddler area to Concessions: y = (-1/3)x - 7
Gift Shop to Restrooms: y = -9
Security desk to Water Slide #2: y = 4
Lazy River to Large Whirlpool: y = (2/5)x + 61/5
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the area of triangle
Which function is represented by the graph?
Answer:
D. f(x) = -|x+4| +3
The graph is flipped over the x-axis (facing down) so there's a negative sign in front of the function. It's shifted to the left 4 units so it'll be |x+4|. Finally, it's shifted up 3 units so it'll be +3 outside of the absolute bracket.
NOTE: if there's a change to the x value then it's inside the bracket or parenthesis, if there's a change to the y value then it's outside of the bracket or parenthesis
A carnival game gives variety bags as prizes. The game operator uses 100 balloons and 68 stickers to put into a certain number of bags. How many balloons and how many stickers can go in each bag if they make the greatest number of bags possible so that each bag has the same number of balloons and the same number of stickers?(1 point)
Responses
25 stickers and 17 balloons
25 stickers and 17 balloons
25 balloons and 17 stickers
25 balloons and 17 stickers
4 balloons and 4 stickers
4 balloons and 4 stickers
50 balloons and 34 stickers
50 balloons and 34 stickers
Answer:
D is the answer
Step-by-step explanation:
Using bags that will make the balloon and the stickers have the same number in each bag, mere looking at the answers, 100/2 gives you 50 while 68/2 gives you 34. it means that it was splitted equally into the two bags.
Number Sense How many people
voted for their favorite type of exercise?
How can you find the answer?
4/5 • 5/4 = 1 Determine the property illustrated.
The algebraic property illustrated is the commutative property of multiplication
What are the properties of algebra?
The properties of algebra are those properties mostly used in simplifying algebraic expressions.
Algebraic properties are:
Commutative property of additionCommutative property of multiplicationAssociative property of additionAssociative property of multiplicationDistributive Properties of Addition Over MultiplicationFrom the expression given we have
4/5 • 5/4 = 1
= 4/ 5 × 5/ 4
= 1
Thus, the algebraic property illustrated is the commutative property of multiplication
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4. Changer =
to an equiv-
1 + 2 sin e
alent rectangular equation.
Which of the following equations represents a linear function?
2x − 4 = 6
x = −2
y equals one half times x squared
y equals two thirds times x plus 4
Answer:
y equals 2/3 x plus 4 is correct.
The equation y= 1/3x + 4 represents a linear function.
What is Linear Equation?A linear function is a function that can be represented by a straight line. The equation of a linear function is typically in the form y = mx + b, where m represents the slope and b represents the y-intercept.
1. 2x − 4 = 6 is a linear equation, but it is not a function because it does not isolate y.
2. x = −2" represents a vertical line with a slope of infinity, but it does not have the form y = mx + b.
3. y = 1/2x² represents a quadratic function because it contains x raised to the power of 2.
4. y= 1/3x + 4 represents a linear function.
Therefore, the equation y= 1/3x + 4 represents a linear function.
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y
Which point on the x-axis lies on the line that passes
through point C and is parallel to line AB?
5 4
C
NU
1
O (1,0)
O (1, 1)
0 (0, 2)
O (20)
А
54
214
2 3
4 5
х
h
B
3
4
ch
I think it's (2,0).
Because u use the slope of line AB to go down from point C until one of the answers are met.
The point on the x-axis that will make the line that passes through point C parallel to line AB is: D. (2, 0).
Slope of Parallel LinesTwo lines on a coordinate plane are parallel to each other if they have the same slope.Slope = change in y/change in x.Slope of AB = -(3/6)
Slope of AB = -1/2
Slope of from point (2, 0) to point C(-2, 2):
Slope = (2 - 0)/(-2 - 2) = 2/-4
Slope = -1/2
Therefore, the point on the x-axis that will make the line that passes through point C parallel to line AB is: D. (2, 0).
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Physics graduate student Laura Van Ertia has conducted a complete randomized design with a single factor hoping to solve the mystery of the unified theory and complete her dissertation. The results of this experiment are summarized in the following ANOVA display:
Source DF SS MS F
Factor ? ? 14.18 ?
Error ? 37.75 ?
Total 23 108.63
Answer the following questions about this experiment.
a. The sum of squares for the factor is ____
b. The number of degrees of freedom for the single factor in the experiment is___
c. The number of degrees of freedom for error is ___
d. The mean square for error is ____
e. The value of the test statistic is ___
f. If the significance level is 0.05, your conclusions are not to reject the null hypothesis
Yes
No
g. An upper bound on the P-value for the test statistic is __
h. A lower bound on the P-value for the test statistic is ___
i. Laura used ___ levels of the factor in this experiment
j. Laura replicated this experiment ___ times
k. Suppose that Laura had actually conducted this experiment as a randomized complete block design and the sum of squares for blocks was 12. Reconstruct the ANOVA display above to reflect this new situation. How much has blocking reduced the estimate of experimental error?
Blocking has reduced the estimate of experimental error from MS = 37.75 to MS = 2.65, a reduction of approximately 93%.
What is statistics ?
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves using mathematical and computational methods to gather, summarize, and analyze data in order to make inferences and draw conclusions about populations based on samples. Statistics is widely used in fields such as science, medicine, business, engineering, social sciences, and many other areas where data are collected and analyzed. The goal of statistics is to provide insights and knowledge that can be used to make informed decisions and solve problems.
a. The sum of squares for the factor is 14.18
b. The number of degrees of freedom for the single factor in the experiment is DF = 1
c. The number of degrees of freedom for error is DF = 22
d. The mean square for error is MS = 37.75
e. The value of the test statistic is F = 0.376
f. If the significance level is 0.05, your conclusions are not to reject the null hypothesis. Yes
g. An upper bound on the P-value for the test statistic is p ≤ 0.05
h. A lower bound on the P-value for the test statistic is p > 0.01
i. Laura used 2 levels of the factor in this experiment
j. Laura replicated this experiment 12 times
k. Reconstructed ANOVA display:
Source DF SS MS F
Factor 1 14.18 14.18 15.97
Blocks 11 12.00 1.09 -
Error 12 31.75 2.65 -
Total 23 58.93 - -
Therefore, blocking has reduced the estimate of experimental error from MS = 37.75 to MS = 2.65, a reduction of approximately 93%.
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Use the distance formula to find the length of the segment C(2, 1) to
D(5,6). Round your answer to two decimal places.
Answer: 5.83
Step-by-step explanation:
\(\sqrt{(2-5)^2 + (1-6)^2}=\sqrt{34} \approx 5.83\)
Round 241.0063 to the nearest thousandth
just need help
Answer:
the nearest thousandth is 241.006.
Solve 3^5x=10
HELP PLS
Answer:
x = 10/243
Step-by-step explanation:
3^5x = 10
243x = 10
Divide 243 on both sides
10/243
Charlie mows lawns in his neighborhood. He charges $15 per hour. Write an equation to model this situation. Then find out how
much he will make if he mows lawns for 12 hours next week. Explain your thinking.
Ready? Enter your answer here
Answer:
He will earn $180 equation: M= money h = hours m = h15
Step-by-step explanation:
15 dollars times however many hours is equal to the money he earns, in this case 15 x 12 = 180
Charlie will make $180 if he mows lawns for 12 hours next week.
Given that, Charlie mows lawns in his neighborhood. He charges $15 per hour.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of hour be x and the total charge be y.
So, y=15x
Now, if Charlie mows lawns for 12 hours next week
Here, y=15×12
= $180
Therefore, Charlie will make $180 if he mows lawns for 12 hours next week.
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Question 4 of 10 What is the scale factor from ABC to DEF? A BO 72 42 35 65 B 66 O A. 2 OB. O O D. 6 Ico
Answer:
C
Step-by-step explanation:
the scale factor is the ratio of corresponding sides, image to original, so
scale factor = \(\frac{EF}{BC}\) = \(\frac{11}{66}\) = \(\frac{1}{6}\)
Find the volume of this sphere use three
2916 ft³
Step-by-step explanation:Volume helps describe the amount of space that a shape takes up.
Volume of a Sphere
Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.
Volume Formula
Every regular shape has its own volume formula. For a sphere, the formula is:
\(V = \frac{4}{3}\pi r^{3}\)So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.
V = 4/3 * 3 * 9³V = 2916When using 3 for pi, the volume of the sphere is 2916 ft³.
I have to add this problem
5/8+2/8
giving 10 points:)
The addition of the given fraction expression is 7/8.
In mathematics, an expression is a combination of numbers, symbols, and/or operators that represents a mathematical quantity or relationship. It can be a simple combination of numbers or a more complex combination involving variables, functions, or other mathematical constructs.
When adding fractions with the same denominator, you simply add the numerators and keep the denominator the same.
In this case, both fractions have a denominator of 8, so we can add their numerators:
5/8 + 2/8 = (5 + 2)/8 = 7/8
Thus, the sum of 5/8 and 2/8 is 7/8.
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Domain range and function
order the following numbers from least (top) to greatest number( bottom) . 0.40 , 0.489 , 0.430 , 0.480
Answer:
\(\Large \boxed{0.40 < 0.430 < 0.480 < 0.489}\)
Step-by-step explanation:
First you have to see the decimal places.
Than the number of digits there is.
So this is how we make it from least to greatest!
Since there is 3 numbers after the decimals in almost all of them...
Than let’s make ‘0.40’ into 3 numbers after the decimal too.
I am sure you have heard that if you add a ‘0’ to a decimal nothing will change right?
So let’s make 0.40 into 3 numbers after the decimal just like the other numbers!
Okay so first let’s add a zero to ‘0.40’... which now this turns into ‘0.400’
Now it will be more easier to compare least to greatest!
0.400 is the least, than comes 0.430, & than would be 0.480, & finally the greatest would be 0.489
Therefore the answer is 0.40 < 0.430 < 0.480 < 0.489.
Make the number 18 using six "1"s.
Answer:
(11-1-1)(1+1)
Step-by-step explanation:
revised
(3a + 4b) - (5a - 2b) solucion porfavor es urgente
Answer:
(3a+4b)-(5a-2b) = −3a+6b
Step-by-step explanation:
I used a calculator, pls let me know if im incorrect
Hey there!/¡Hola!
(3a + 4b) - (5a - 2b)
= 3a + 4b - 5a - 2b
COMBINE the LIKE TERMS/COMBINAR los TÉRMINOS LIKE
= (3a - 5a) - (4b - 2b)
= 3a - 5a - 4b - 2b
= -2a + 6b
Result/Resulta: -2a + 2b
Good luck on your assignment & enjoy your day!/¡Buena suerte en tu tarea y disfruta tu día!
~Amphitrite1040:)
Find P(AUB) of P(A)=2/5,P(B)=2/7 and A and B are Independent
P(A∪B)=24/35 when A and B are independent and P(A)=2/5,P(B)=2/7
What is meant by probability?Probability is the branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely it is that a claim is true. The probability of an event is a number between 0 and 1, with 0 signifying impossibility and 1 expressing certainty. The greater the likelihood of an occurrence, the more likely it will occur.
Probability theory, which is widely used in domains such as statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy, has given these concepts axiomatic mathematical formalization.
Given,
P(A)=2/5
P(A)=2/7
P(A∪B)=?
And also given that A and B are independent then,
P(A∩B)=0
P(A∪B)=P(A)+P(B)-P(A∩B)
P(A∪B)=(2/5)+(2/7)-0
P(A∪B)=(14+10)/35
P(A∪B)=24/35
Therefore, P(A∪B)=24/35 when A and B are independent.
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