The probability that a driver chosen at random from the community will be in the low-risk category for the next year is 0.8
Probability:
In math, the ratio of the times an event is likely to occur divided by the total possible events is known as probability.
Given,
Here we need to find if 80% of the drivers in the community are in the low-risk category this year, then the probability that a driver chosen at random from the community will be in the low-risk category for the next year.
Here we know that, 80% of the drivers in the community are in the low-risk category this year.
Then as per the definition of probability, the the community will be in the low-risk category for the next year is calculated as,
=> 80/100
=> 0.8
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find the curvature of r(t) at the point (7,1,1), r(t)=<7t,t2,t3>
The equation for curvature is given by κ = |r' × r''|/|r'|3 where r' = dr/dt and r'' = d2r/dt2. the curvature of r(t) at the point (7,1,1), r(t)=<7t,t2,t3> is √14/√490.
The equation for curvature is given by κ = |r' × r''|/|r'|3 where r' = dr/dt and r'' = d2r/dt2.
We are given the point (7,1,1) which is the same as t=1.
Therefore, we can substitute t=1 into the function r(t) to obtain r(1) =<7,1,1>.
From this, we can calculate the derivatives r' and r'' of the function r(t) at the point (7,1,1).
r' = <7,2,3>
r'' = <0,2,6>
Then, we can calculate the curvature κ using the equation κ = |r' × r''|/|r'|3.
κ = |<7,2,3> × <0,2,6>|/|<7,2,3>|3
= |<0,-14,18>|/|<7,2,3>|3
= √14/√490
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Find the 55th term of the arithmetic
sequence 8, 24, 40,
In 2013, approximately 1.6 million students took the Critical Reading portion of the SAT exam. which is administered multiple times throughout the year The mean score, the modal score, and the standard deviation were calculated to be 496, 430, and 115 , respectively: a)Determine the interval that reflects 95% of the Critical Reading scores_ b) Amy scored 715 on her Critical Reading portion of this SAT exam; What conclusion can YOU draw about Amy score?
Answer:
496 + 2 (115) = 496 + 230
Step-by-step explanation:
The standard deviation uses the mean, which is 496 in this example. About 95% of the data falls withinTWO standard deviations from the mean. Double 115 and you get 230.
Answer is 496 + 2 (115) = 496 + 230
The table shows the flying speeds of several birds. PLEASE HELP ME FAST
Bird: ║ speed:
spined tailed swift ║2843.2m/min
spur-winged goose ║1291ft/sec
Eider duck ║31.3m/sec
Mallard ║65mi/h
a) which bird is the fastest? Which bird is the slowest?
b)The pererine falcon has a dive speed of 322km per hour. Is the dive speed of the peregrine falcon faster than the flying speed of any of the birds? Explain.
A. The fastest bird is the spin-tailed swift and the slowest bird is the mallard.
B. the dive speed of the peregrine falcon is faster than any other birds given in the question.
What is speed?
The speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
Here, we have
A. the speed of a spin-tailed swift is 2843.2m/min.
We have to convert the speed to m/sec.
From above we know that,
1 min = 60 sec
2843.2 m/min = 2843.2m/1minm
2843.2/60 = 47.386m/sec
2843.2 m/min = 47.386m/sec
The speed of a spur-winged goose is 129.1ft/sec.
We have to convert the speed to m/sec.
From above we know that,
1ft = 0.3048m
129.1ft/sec = 129.1/1sec
129.1ft/sec = 39.349m/sec
Hence, from the above, we can say that the fastest bird is the spin-tailed swift and the slowest bird is the mallard.
B. From part (a) we get,
The speed of the different birds in m/sec is given below:
Spine tailed swift
2843.2m/min = 47.386m/sec
Spur-winged goose
129.1ft/sec = 39.349m/sec
Eider duck
31.3m/sec
Mallard
65mi/h = 29.051m/sec
The dive speed of the peregrine falcon is
322km/h = 322km/1h
= 322(1000)m/1(3600)sec
= 89.444m/sec
Hence, the dive speed of the peregrine falcon is faster than any other bird given in the question.
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Answer:
I’m fat
Step-by-step explanation:
eat food, then sleep
infeasibility means that the number of solutions to the linear programming models that satisfies all constraints is
Infeasibility is the absence of a solution in the set of solutions to a linear programming models which satisfy all requirements.
Explain the term Infeasibility?If no feasible solution could be created, or if no solution exists that fulfills all of the criteria, then a linear program is infeasible.
Infeasibility typically denotes a mistake of some kind because whatever real operation you are modeling must stay inside the bounds of reality. When there is no workable solution, simplex-based LP software such lp solve effectively discovers this.Finding the cause of impossibility is frequently challenging. It could be the result of incorrect numbers in the data or an error in how you specified a few of the constraints for the model. There may be a number of contributing variables, such as an imbalance between supply and demand at some warehouses and consumers.Thus, infeasibility is the absence of a solution in the set of solutions to a linear programming models which satisfy all requirements.
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-3 1/2 x -5 2/3=?
Please help me with this problem.
Answer: 119/6
Step-by-step explanation:
-3 1/2 can be written as -7/2
-5 2/3 can be written as -17/3
-7/2 times -17/3 = 119/ 6
4+(−634) please answer
The solution to the expression 4+(−634) is -630
How to evaluate the expression?From the question, we have the following parameters that can be used in our computation:
4+(−634)
Rewrite the expression properly
So, we have the following representation
4 + (−634)
Remove the bracket in the above expression
This gives
4 + (−634) = 4 - 634
Evaluate the difference
4 + (−634) = -630
Hence, the solution is -630
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find the absolute maximum and absolute minimum (if any) of the given function on the specified interval. f (x)
The answer of the function found to be x = −4 and x = 2, with M = 38.
We must consider the function,
f (x) = x³ + 6x² + 6
Over the interval
-5 [tex]\leq[/tex] x [tex]\leq[/tex] 2
To obtain the extrema we start from the function's derivative.
f' (x) = 3x² + 12x
Equating it to 0,
f' (x) = 0 = 3x(x +4) = 0
We arrive at two solutions,
x1 = 0, x2 = -4 both inside the interval.
Evaluating the function at the stationary points,
f (x1) = 6
f (x2) = (-4)³ + 6 . (-4)² + 6 = -64 + 96 + 6 = 38
These values must be compared to that of the function at the interval frontiers,
f (-5) = (-5)³ + 6 . (-5)² + 6 = -125 + 150 + 6 = 31
f (2) = 2³ + 6 . 2² + 6 = 38
Comparing the results we can conclude that the function attains its absolute minimum at,
x = 0, m = 6
Meanwhile, the absolute maximum is attained at the points,
x = −4 and x = 2, with M = 38.
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Calculator © Cymath | Mathema X ourses/_76146_1/cl/outline Course Home Remaining Time: 1 hour, 13 minutes, 39 seconds. * Question Completion Status: QUESTION 11 An augmented matrix of a system of equations has been transformed by row operations into the 3 equations in 3 variables matrix below. State the solution to this system as (x,y,z) Enter your answer as an ordered triple within parenthesis separated by commas (x,y,z). Avoid entering spaces and decimal points Use fractions if relevant. [100 : -3 010: بی N| بااح 001 QUESTION 12 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answ
The solution to this system of equations is (3,1,-2) which are represented by matrix.
This system of equations can be represented by the augmented matrix:
[tex]\begin{bmatrix}100 & -3 & 0 \\010 & 0 & 1 \\001 & 0 & -2\end{bmatrix}[/tex]
The augmented matrix can be transformed into an upper triangular matrix using row operations:
[tex]\begin{bmatrix}100 & -3 & 0 \\000 & 3 & 1 \\000 & 0 & -2\end{bmatrix}[/tex]
Now, we can use back substitution to solve for the unknowns.
From the bottom row, we can see that z = -2.
From the second row, we can see that y = 1.
Using the top row and the values for y and z, we can solve for x:
100x - 3(1) + 0(-2) = 0
100x - 3 + 0 = 0
100x = 3
x = 3
Thus, the solution to this system of equations is (3,1,-2).
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How do you solve 2sin^2θ = 1 ?
The value of θ is 45 degrees as sin45° is equal to 1/√2.
What is trigonometric equation?Trigonometric equation refers to an equation consists of a number of trigonometric ratios whose angle is unknown.
What is the ranges of trigonometric angle?Generally trigonometric angles are represented by θ. while solving equations we get the values of θ ranges from 0 degree to 90 degrees.
Given, 2sin²θ = 1
solving the equation
sin²θ = 1/2
sinθ = 1/√2
we know sin45° has a specific value 1/√2
sinθ = sin 45°
now, θ = 45°
hence, the solution is θ = 45 degrees.
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Algebra 1 > EE.10 Dilations of functions 6EC
What kind of transformation converts the graph of f(x) = -9x² - 7 into the graph of g(x) =
-x² - 7?
vertical stretch
horizontal shrink
horizontal stretch
vertical shrink
O
M
help me and thank you so much
Answer:
BRO IS GERMAN LOL
Step-by-step explanation:
Solving the linear system of equations using elimination.
8x - 6y= -20
-8x + 4y = 24
Answer:
j
Step-by-step explanation:
Answer:
the solution to the system of equations 8x - 6y = -20 and -8x + 4y = 24 is x = -22 and y = -22.
Step-by-step explanation:
To solve a system of linear equations using elimination, we can add or subtract the equations to eliminate one of the variables. In this case, we can add the given equations to eliminate the variable x.
The given equations are 8x - 6y = -20 and -8x + 4y = 24. We can add these equations by aligning the like terms and then combining them. This gives us:
8x - 6y = -20
-8x + 4y = 24
-16x + 8y = -20 + 24
-16x + 8y = 4
Dividing both sides of the equation by 8, we get:
-2x + y = 1/2
Therefore, the solution to the system of equations is x = -1/2 and y = 1/2.
We can check our solution by plugging these values into the original equations to verify that they are true statements. Plugging x = -1/2 and y = 1/2 into the first equation, we get:
8(-1/2) - 6(1/2) = -20
-4 - 3 = -20
-7 = -20
This is not a true statement, so our solution is not correct.
One mistake we made was adding the equations instead of subtracting them. If we subtract the second equation from the first equation, we get:
8x - 6y = -20
-8x + 4y = 24
8x - 6y - (-8x + 4y) = -20 - 24
2x - 2y = -44
Dividing both sides of the equation by 2, we get:
x - y = -22
Therefore, the solution to the system of equations is x = -22 and y = -22.
We can check our solution by plugging these values into the original equations to verify that they are true statements. Plugging x = -22 and y = -22 into the first equation, we get:
8(-22) - 6(-22) = -20
-176 + 132 = -20
-44 = -20
This is a true statement, so our solution is correct. Similarly, plugging x = -22 and y = -22 into the second equation, we get:
-8(-22) + 4(-22) = 24
176 - 88 = 24
88 = 24
This is also a true statement, so our solution is correct. Therefore, the solution to the system of equations 8x - 6y = -20 and -8x + 4y = 24 is x = -22 and y = -22.
May I ask why the correct answer is A?
Answer: A
Step-by-step explanation:
For II, when the numerator is expanded, it contains terms of ab and a^2 which makes it a quadratic function, not an algebraic function.
For III, tricky one. The a can be cancelled out in the numerator and denominator and the resulting fraction is (b-3)/3. However, this can be further simplified to 1/3b - 1, which makes it not an algebraic fraction anymore.
if a car salesman makes $1100 a month plus a 3% commission on all sales, how much money did he make in a month where all his sales totaled $120,000?
Answer:
Step-by-step explanation:
Stop Cheating.
you are an art salesperson whose job is to sell paintings. you sell paintings at art festivals, as well as out of your studio on non- festival days festivals occur once every 20 days and there is independently a 10% chance of a sale on any given day. you also know that half of previous sales have occurred during festivals. if there is a festival what is the probability of a sale?
Sales probability, or sales forecasting, is a process where a company attempts to predict its sales in the future.
How do you find the probability of sales?Opportunity stage forecasting: This method uses the probability of closing deals at each stage of a sales interaction, or the close rate of a company. The formula is "sales forecast = total value of current deals in sales cycle x close rate."Probability determines the likelihood of an event occurring: P(A) = f / N. The formula to calculate gross sales is Total Units Sold x Original Sale Price = Gross Sales.Multiply your estimated units sold by your price per unit and then multiply that result by how many months you projected revenue will cover. This is how much revenue you should expect to bring in for that product or service.Probability is calculated by dividing the number of ways the event can occur by the total number of outcomes. Probability and odds are different concepts. Odds are the probability that something happens divided by the probability that it doesn't happen.We are given that you and a group of friends are going to a five-day outdoor music festival during spring break.Also, Probability that there may be rain on first day, P(A) = 0.15Probability that there may be rain on second day, P(B) = 0.10Probability that there may be rain on third day, P(C) = 0.20Probability that there may be rain on fourth day, P(D) = 0.20Probability that there may be rain on fifth day, P(E) = 0.60It is also provided that these probabilities are independent of whether it rained on the previous day or not.Now, probability that it does not rain during the entire festival = Probability that there may not be rain on all five days
(1 - P(A))*(1 - P(B))* (1 - P(C))* (1 - P(D))* (1 - P(E))
= (1 - 0.15)*(1 - 0.10)*(1 - 0.20)*(1 - 0.20)*(1 - 0.60)
= 0.85* 0.90*0.80*0.80*0.40 = 0.19584
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- an insect population is growing in such a way that the number in each generation is 1.5 times that of the previous generation. if there are 100 insects in the first generation, how many will be there in the fourth generation?
explain please
The number of insects in the fourth generation is 506.25
What is an exponential function?This is a type of function that are of 3 main parts
the starting or initial value, base function and the exponents
Considering the given problem,
the starting = 100
the base = 1.5
the exponents = number of generation = x
The function is written as f(x) = starting (base) ˣ
substituting the values
f(x) = 100 (1.5)⁴
= 506.25
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How many 1/3 cups do you need to make 1/2 cup?
With fraction calculation we know that 1 1/2 cups of 1/3 cup is needed in order to make a 1/2 cup.
In order to figure out the amount of 1/3 cup needed to fill a 1/2 cup, we will calculate the fraction with the following fraction division:
1/2 ÷ 1/3
To calculate a fraction division we will need to multiply the first fraction with the inverse of the second fraction and we will get the following calculation:
1/2 × 3/1 = 3/2 = 1 1/2
Therefore to fill a 1/2 cup we will then need 3/2 cups or 1 1/2 cups of a 1/3 cup.
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Classify each statement as true or false. ∣−3∣>−3
The inequality of |-3| > -3 is true.
What are inequalities?Inequalities are of two types, > and <. The > sign means that left hand side is greater than the right hand side, while the < sign means that the left hand side is less than than the right hand side.
What is the meaning of modulus sign?Any expression between the modulus sign | | indicates that the expression will be positive even if it is negative. For example, |-2| = 2.
Using this property of absolute sign,
= |-3| > -3
= 3 > -3
3 is greater than -3. Hence, the statement is true.
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Rewrite in simplest terms: 6(0.7y+0.8z)−4z−6(−0.1z−0.6y)
deltamath is killing me aaaa
The expression into an equivalent form 6(0.7y+0.8z)−4z−6(−0.1z−0.6y) would be; 7.8y + 1.4z
What are equivalent expressions?Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.
To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.
We need the expression into an equivalent form;
6(0.7y+0.8z)−4z−6(−0.1z−0.6y)
This expression could also be given by;
6(0.7y+0.8z)−4z−6(−0.1z−0.6y)
Now, we know that:
4.2y + 4.8z - 4z + 0.6z + 3.6y
Now
7.8y + 1.4z
Hence, the expression into an equivalent form 6(0.7y+0.8z)−4z−6(−0.1z−0.6y) would be; 7.8y + 1.4z
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3. You want to know the area of your new bedroom so you can start planning for a new rug and furniture. Your bedroom on the drawing is represented by figure ABCD and your actual bedroom is represented by figure A'B'C'D'. If the dimensions of your bedroom on the drawing, ABCD, are 4.5 inches by 6 inches and the scale is 1 inch = 3.5 feet (the scale factor is 3.5), what is the area of your new bedroom A'B'C'D'? (10 points) A conversion (2 points) C Correct dimension A' B ID C' Correct final area (3 points) B' Work shown (5 points) D' Total /10
The area of the new rectangular bedroom represented by A'B'C'D 330.75 square feet.
Calculating for the area of the rectangular bedroomWe have that the dimensions of the bedroom on the drawing represented by ABCD are 4.5 inches by 6 inches, using a scale factor of 1 inch = 3.5 feet, we will have the dimensions of the new rectangular bedroom A'B'C'D as;
4.5 × 3.5 feet = 15.75 feet by
6 × 3.5 feet = 21 feet
area the new rectangular bedroom A'B'C'D = 15.75 × 21 square feet
area the new rectangular bedroom A'B'C'D = 330.75 square feet.
Therefore, 330.75 square feet is the area of the new rectangular bedroom represented by A'B'C'D.
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HELP URGENT DOUBLE POINTS!!
Answer: 994 mm^2
Step-by-step explanation:
Let's calculate the surface area of both the triangular surfaces. To find the area of a triangle, we multiply the base by the height and divide by 2. The height is 12 and the base is 33. (12*33)/2 = 198. Since there are two triangular surfaces, we have 198 * 2 = 396 mm^2.
Now we can calculate the base surface, which is 7 * 33 = 231 mm^2 (width times length is the formula for calculating area of a rectangle).
The rectangular surface to the left of the diagram is 16 * 12 = 192 mm^2.
The rectangular surface to the right of the diagram is 25 * 7 = 175 mm^2.
Now we add up all our values: 396 + 231 + 192 + 175 = 994 mm^2.
Using the z table, determine the critical value for the left-tailed test with α = 0.02. Round your answer to 2 decimal places.
-2.05 is the critical value for the left-tailed test .
What is critical z value?
The -1.96 and +1.96 standard deviations are the essential z-score values when adopting a 95 percent confidence level.
With a 95 percent confidence level, the uncorrected p-value is equal to 0.05.The critical value for a two-sided test is Z 1-/2, while for a one-sided test, it is Z 1.
You reject the null hypothesis if the absolute Z-value is higher than the crucial value. If not, you have not successfully ruled out the null hypothesis.
Given that,
α = 0.02.
left tailed test
Zα = 0.02 = -2.05
critical value = -2.05
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The base of the following pyramid is a square. What is the
surface area of the pyramid? I NEED HELP ASAP PLEASE!!!!!
The surface area of the square base pyramid of slight height 6 inches is 36 in².
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
To calculate the surface area of the square base pyramid, we use the formula below.
Formula:
SA = a²+2al.................... Equation 1Where:
SA = Surface area of the square base pyramida = Lenght of the base of the pyramida = Slight height of the pyramidFrom the diagram,
Given:
a = 4 inchl = 6 inchSubstitute these values into equation 1
SA = 4²+2(4×6)SA = 16+20SA = 36 in²Hence, the surface area is 36 in².
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Answer:
64
Step-by-step explanation:
How do you convert 0.51 as a fraction?
Step-by-step explanation:
Just write the number in the numerator place.
[tex] \frac{51}{} [/tex]
and then check the decimal point means how many number before is the point.
e. g. here is two numbers.
Then write 1 and 0 in the place of denominator.
Note: write 0 that times in which the decimal point is before the number.
[tex] \frac{51}{100} [/tex]
and at last simplify the fraction. if possible here is not. it is the simplest form of the fraction.
hope understand
HELP ME I WILL GIVE 20 POINTS PLS
the given proportional relationship y=0.5x with proportional constant is 1/2.
what is proportional relationship?
When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant.
Given x and y will have a proportional relationship if the ratio of x to y will be equal for all given values.
For every 1 scoop of ice cream, cup of milk is needed 1/2, and for every 5 scoops of ice cream, 2 cups of milk 2 1/2 are needed.
So the equation will be y = kx
or y = 0.5(x)
Here proportional constant is 1/2 or 0.5.
For 18 scoops of icecream, milk will be needed is 18/2 = 9 cups of milk.
Hence, we can say that the given proportional relationship y=0.5x with a proportional constant is 1/2.
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Please help me ,really need help
The classification of each pair of angles is given below.
What is an angle?
When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together.
The Latin word "angulus," which means "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
Corresponding angle = figure 3 and figure 5
Alternate interior angle = figure 4
Alternate exterior angle = figure 1
None of these = figure 2
Hence, these are the required answer.
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A men's traditional haircut at The Barber Spot costs $25 and a shave costs $30. There is an 8.25% state sales tax. What is the total price that Shai must pay if he gets his hair cut and beard shaved and he tips the barber 25%?
Answer:
The total price that Shai must pay is $62.66. This includes the $25 for the haircut, the $30 for the shave, the $3.56 in state sales tax, and the $4.10 in tip.
Answer:
c. 74.42
Step-by-step explanation:
!! calculate the cost of both services, add the percentage of the sales tax then the tip!
the number of tropical fish that an aquarium can hold depends on the volume of the fish tank. the interior dimensions of the fish tank are 22 cm, 42 cm, and 50 cm. each fish requires 10,000 cubic centimeters of water. how many tropical fish will this fish tank hold?
The number of tropical fish that this fish tank hold is 5 fish
Given that,
The volume of the fish tank determines how many tropical fish can be kept in an aquarium. The fish tank's inside measures 22 cm, 42 cm, and 50 cm. Water volume needed per fish is 10,000 cubic centimeters.
Dimensions of fish tank :
Length = 22 cm
Width = 42 cm
Height = 50 cm
Volume of fish tank = length x breadth x height
= 22 * 42 * 50
= 46200 cm³
Each fish requires 10,000 cubic centimeters of water.
So, tank will hold number of fishes = 46200 / 10000
= 4.62
Hence tank will hold 5 fish.
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what is the unit rate for the ratio 100 points/ 4 games?
The unit rate for the ratio 100 points/ 4 games is 25 points per game
How to determine the unit rate for the ratio?From the question, we have the following parameters that can be used in our computation:
Ratio = 100 points/ 4 games
The unit rate is simply the value of the above ratio
However, with a denominator of 1
This means that we evaluate the quotient in the above expression
So, we have the following representation
Ratio = 25 points/ 1 game
Express as unit rate
Unit rate = 25 points per game
Hence, the unit rate is 25 points per game
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