Use calculus to find the area of the triangle with the given vertices: (0,0) (2.8) (5,6)
The area of the triangle with the given vertices is 6.6.
The formula for finding the area of a triangle given its vertices is A = 1/2 abs(x1y2 + x2y3 + x3y1 - x2y1 - x3y2 - x1y3). To calculate the area of the given triangle, we substitute the coordinates of each vertex into the formula. First we find the three cross-products: x1y2 = 0 * 6 = 0, x2y3 = 2.8 * 6 = 16.8, and x3y1 = 5 * 0 = 0. Then, we find the two products of the y-coordinates: x2y1 = 2.8 * 0 = 0, and x3y2 = 5 * 6 = 30. Lastly, we find the product of the x-coordinates: x1y3 = 0 * 6 = 0. Adding all these up, we get 0 + 16.8 + 0 - 0 - 30 - 0 = -13.2. We then take the absolute value of the result, abs(-13.2) = 13.2. Finally, we multiply the result by 1/2 to get the area of the triangle, A = 1/2 abs(-13.2) = 1/2 * 13.2 = 6.6. Therefore, the area of the triangle with the given vertices is 6.6.
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can someone pleasee help me solve this problem
Answer:
(-4, -5)
Step-by-step explanation:
If you need help in these problems. Try using the Geogebra Calculator Suite. It really helped me when I was learning!
Hope this helped:)
Please help explain the easiest way
Answer:
60 m
Step-by-step explanation:
Triangle formula:
A city has a population of 696,000. The population y increases by 4% each year.
a. Write an exponential function that represents the population after t years.
b. What will the population be after 20 years? Round your answer to the nearest thousand.
a. y =
b. about
Round this number to the nearest thousand, giving the final answer of 839,000.
What is population?Population is the number of people living in a given area at a particular time. It can refer to a geographic region, such as a city, state, country, or the world. It is usually measured as the total number of people within a certain area and can be determined through a variety of methods, such as the census or survey. Population growth and decline are important indicators of a country's economic and social development, as well as its demographics.
a. y = 696,000 * 1.04^t
b. The population after 20 years will be approximately 839,000. This can be calculated by plugging in t = 20 into the exponential function: y = 696,000 * 1.04^20 = 838,903.8. Round this number to the nearest thousand, giving the final answer of 839,000.
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Which graph shows the solution for d?
Answer:
is there a picture????
Your friend Jesse has just started his first scholarship application, and you notice that the application is asking
for his credit card information. You quickly tell him it could be a scam and give him three more signs to look
out for. What three signs do you tell him?
Answer:
Nobody representing a legitimate scholarship can or will be able to guarantee that you’ll win. Some services even boast they can guarantee the actions of another organization – they can’t. There are false promises and will likely result in something other than you obtaining money for school.
If someone contacts you, via phone, mail or email, offering you a scholarship, and you never requested information from that provider, be very careful. Scholarships are awarded to you after an application process – they are not just given out to random students – no matter how special they are.
Applying for legitimate scholarships does not cost money -- EVER! Submitting such applications will cost you time and effort, but should never cost money, no matter how small the amount.
Scholarships do have deadlines; however, they are usually clearly stated within the application guidelines. Legitimate providers don’t pressure students into applying for their scholarships; they have enough interest on their own. They also ensure that students have ample time to work on their scholarship applications and essays. If you ever feel pressured and are observing that it’s a “now or never” scenario, the scholarship is likely a scam.
The Firstly nobody representing a legitimate scholarship can and will be able to guarantee that you will win.
Scholarships are awarded to you after an application process at that time they are not just given out to random students
Applying for legitimate scholarships does not cost money ever are three signs Jesse has tell his friend.
Firstly nobody representing a legitimate scholarship can and will be able to guarantee that you will win.
Some services even boast they can guarantee the actions of another organization so they can’t.
There are false promises,
What is the meaning of false promise?
False Promise negates the damage while the others do not.
likely result in something other than you obtaining money for school.
If someone contacts you, via phone, mail or email, offering you a scholarship, and you never requested information from that provider, be very careful.
Scholarships are awarded to you after an application process at that time they are not just given out to random students
No matter how special they are.
Applying for legitimate scholarships does not cost money ever. Submitting such applications will cost you time and effort, but
Should never cost money, no matter how small the amount.
Scholarships do have deadlines,
However, they are usually clearly stated within the application guidelines.
Legitimate providers don’t pressure students into applying for their scholarships
They have enough interest on their own.
They also ensure that students have ample time to work on their scholarship applications and essays.
If you ever feel pressured and are observing that it’s a now or never scenario, the scholarship is likely a scam.
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The point G(1,1) is rotated 90° clockwise around the origin. What are the coordinates of the resulting point, G'?
The resulting point's coordinates, G', are rotated 90° clockwise around in the origin are (-1 , -1 ).
What is the coordinate plane's location?A coordinate plane is a two-dimensional plane created by the intersection of the y-axis, a vertical line, and the x-axis, a horizontal line. These really are perpendicular lines that cross at zero, which is known as the origin.
What are a plane's quadrants?Quadrant one (QI) is the upper right fourth of a coordinate plane, where all coordinates are positive. Quadrant two (QII) is the coordinate plane's upper left fourth. Quadrant three (QIII) is the fourth from the bottom left. Quadrant four (QIV) is the fourth from the bottom right.
According to the given data:Point G(1,1)
X= 1 ,Y = 1
We can see that the point lies in the first quadrant because the value of X and Y are the positive.
the coordinates of the resulting point, G' is rotated 90° clockwise around the origin.
As we know that the quadrant plane is divided into 4 part but if the point G rotates at 90 clockwise the the point will shift to the 4 quadrant and in the 4 quadrant the value of X and Y change And it became negative.
So
The resulting point's coordinates, G', are rotated 90° clockwise around in the origin are (-1 , -1 ).
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Write the percent as a fraction in simplest form 3.2%
Answer:
4/125
Step-by-step explanation:
cars of length 2 try to park on a length l road. each minute, a new car parks at a uniformly random spot on the road without crashing into another car or running off the road. when no more cars fit, what is the expected size of the largest gap between adjacent cars (as a function of l)? how about the smallest gap between adjacent cars?
The expected size of the largest gap between adjacent cars (as a function of l) is l/(n + 1), and the expected size of the smallest gap between adjacent cars is 2.
Let us consider that cars of length 2 try to park on a length l road. Each minute, a new car parks at a uniformly random spot on the road without crashing into another car or running off the road.
When no more cars fit, the expected size of the largest gap between adjacent cars is l/(n + 1) and the smallest gap is 2.
The expected size of the largest gap between adjacent cars (as a function of l) is l/(n + 1).
Let n be the number of cars parked on the road. Then the total length of the cars parked is 2n.
If the largest gap is a distance g, then the total length of the gaps is l − 2n. Then,gap length:
g (n + 1) ≤ l - 2ng ≤ l − (n + 1)g
Dividing through by (n + 1)g and rearranging:
g ≤ l/(n + 1) (largest gap)g ≥ 2 (smallest gap)
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give two coterminal angles (one positive and one negative) and the reference angle. 290
The coterminal angles for the 290 degrees are 650 degree, -70 degree and reference angle is 70 degree respectively.
What is coterminal angles?Two different angles that have the identical starting and ending edges termed coterminal angles however, since one angle measured clockwise and the other determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.
We have an angle:
290 degree
To find the coterminal angle, add and subtract 360 degree in the angle 290 degree.
Coterminal angle = 290 + 360 = 650 degree
= 290 - 360 = -70 degree
Reference angle = 360 - 290 = 70 degree
Thus, the coterminal angles for the 290 degrees are 650 degree, -70 degree and reference angle is 70 degree respectively.
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The table shows the ages and genders of the dogs at an animal shelter. What is the probability that a randomly chosen dog is a female or over 5 years old?
The probability that a randomly chosen dog is a female or over 5 years old is 0.68 .
Age Male Female
Under 1 year 6 5
1 to5 year 8 7
6 to10 years 4 6
Over 10 years 3 5
From the table, we can estimate that there are 23 f_emale dogs, 18 are over 5 years old, and there are 11 f_emale dogs who are over 5 years old.
Therefore, the total number of dogs which are f_emale and over 5 years old = 23 + 18 – 11 = 30
This means there total of 44 dogs in total.
A be the event the randomly chosen dog is f_emale and over 5 years old, The probability of the event will be, P(A)= 30/44 = 0.68.
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Please solve quickly my homework is due in today and I might get detention if too late
Answer: look at the image for the answer and solution
Step-by-step explanation:
For what natural values of n is the difference (2-2n)-(5n-27) positive?
The natural values of n for which the difference (2-2n) - (5n-27) is positive are 1, 2, 3, and 4.
To find the natural values of n for which the difference (2-2n) - (5n-27) is positive, we need to simplify the expression and then solve for n.
(2-2n) - (5n-27) = 2 - 2n - 5n + 27
= -7n + 29
So, we need to find the natural numbers n for which -7n + 29 > 0.
To do this, we can solve for n as follows
-7n + 29 > 0
-7n > -29
n < 29/7
Since n is a natural number, it must be an integer greater than or equal to 1. Therefore, the natural values of n for which the difference (2-2n) - (5n-27) is positive are 1, 2, 3, and 4.
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Which of the following is the solution to the differential equation yệt) 1 t 17 with initial condition y(1) ? 12 5 t6 a) 17 85 66t2 132t4 b) 17 85 6916 92t8 c) t6 5t4 6 4 d) 851 1714 52 78
The solution to the differential equation y''(t) = 1 - t^17 with initial condition y(1) = 12 is:
y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + (19805/342)
None of the provided options (a, b, c, d) match the correct solution.
To solve the given differential equation y''(t) = 1 - t^17 with the initial condition y(1) = 12, we can integrate the equation twice.
Integrating the equation once will give us y'(t):
y'(t) = ∫(1 - t^17) dt
y'(t) = t - (1/18)t^18 + C₁
Now, we need to apply the initial condition y(1) = 12 to determine the value of the constant C₁:
12 = 1 - (1/18) + C₁
C₁ = 12 + (1/18) - 1
C₁ = 217/18
Next, we integrate y'(t) to find y(t):
y(t) = ∫(t - (1/18)t^18 + 217/18) dt
y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + C₂
Finally, we apply the initial condition y(1) = 12 to determine the value of the constant C₂:
12 = (1/2) - (1/342) + (217/18) + C₂
C₂ = 12 - (1/2) + (1/342) - (217/18)
C₂ = (20619 - 1 + 6 - 819)/(342)
C₂ = 19805/342
Therefore, the solution to the differential equation y''(t) = 1 - t^17 with initial condition y(1) = 12 is:
y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + (19805/342)
None of the provided options (a, b, c, d) match the correct solution.
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12(5 + 24) = 44 - (5 - 94)
HELP
Answer:
False
Step-by-step explanation
First you do 12 x 5 =60 and 12 x 24= 288 then add 60 and 288 which give you 348. Now youre left with 348=44-(5-94)
Do 5 - 94= -89 then 44-(-89) gave you 133
lastly, you're left with 348=133 which means it's false, the equation does not each!
A cone has a height of 36 cm and a volume of 588π cm3. What is its radius? ( The question I am working on..)
Steps:
Shape: Cone
Solved for radius
Height: 36 cm
Volume: 588 cm3
Formula= r=√3v/πh
R= Radius
H= Height
Description:
Using the formula r=√3v/πh, we have to calculate the radius. We know that the height is 36 and the volume of 588. We use the formula and get the answer. The answer we get is r≈3.95cm.
Answer: r≈3.95cm
Please mark brainliest
Hope this helps.
Answer:
r = 7cm
Step-by-step explanation:
\(h = 36 \\Volume = 588pi\\r = \\588pi = \frac{1}{3}pir^{2} 36\\Cross-multiply\\1764pi=36pir^{2} \\Divide-both-sides-of-the-equation-by-36pi\\r^{2} =\frac{1764pi}{36pi} \\r^{2} = 49\\Square -root-both-sides-of-the-equation.\\\sqrt{r^{2} } =\sqrt{49} \\r = 7\)
Write the following expression as the sine, cosine, or tangent of a double angle. Then find the exact value of the expression. 2 sin 15° cos 15° Write the following expression as the sine, cosine, or tangent of a double angle. Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer. Type your answer in degrees. Use integers or decimals for any numbers in the expression.) O A. 2 sin 15° cos 15º = sinº O B. 2 sin 15° cos 15º = tanº O C. 2 sin 15° cos 15º = cos º Click to select and enter your answer(s) and then click Check Answer.
Therefore, the correct choice is A, and the expression can be written as: 2 sin 15° cos 15° = sin(30°) = 1/2
The given expression is 2 sin 15° cos 15°. This expression can be written using the double angle formula for sine, which is sin(2θ) = 2 sinθ cosθ. In this case, θ is 15°.
So, 2 sin 15° cos 15° can be rewritten as sin(2 * 15°), which simplifies to sin(30°).
Now, we can find the exact value of sin(30°) using the properties of a 30-60-90 right triangle. In such a triangle, the side ratios are 1:√3:2, where the side opposite the 30° angle has a length of 1, the side opposite the 60° angle has a length of √3, and the hypotenuse has a length of 2. The sine function is defined as the ratio of the length of the opposite side to the length of the hypotenuse. So, sin(30°) = 1/2.
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Give the slope of y+2=3(x-7) and point on the line
Step-by-step explanation:
y+2=3(x-7)
y+2=3x-21
y=3x-21-2
y= 3x-23
Slope is 3
Answer:
Slope intercept form;
y = mx + b
Where y is the independent variable, and x is the dependent variable, 'm' represents the slope and 'b' represents the y intercept.
We are given;
y + 2 =3(x - 7)
So we rearrange this into slope intercept form.
y + 2 = 3(x - 7)
Simplify:
y + 2 = 3x - 21
Apply inverse operation of addition (subtraction).
-2 -2
y = 3x - 23
HELP GIVING BRAINLIEST Carlene is selling T-shirts for a fundraiser. The T-shirts cost $20.50 each. To date, she has raised $900. Her goal is to raise more than $9,100. How many more T-shirts, x, does Carlene need to sell to reach her goal?
Select the number line that includes the fewest number of T-shirts Carlene can sell and still meet her goal.
FYI:
Sorry, I can't answer your second question because I can't see any number-lines in your question. But yes, I can answer the first one.
Answer:
400 T-Shirts
Step-by-step explanation:
If each T-Shirt is $20.50, that means that Carlene has to sell lots of them in order to earn the amount of money she wants. So, to find how many T-Shirts she needs to sell in order to get $9,100, we have first remove $900 dollars from the $9,100, because she ALREADY earned it!
9,100-900=8,200
Now we have to divide $8,200 by $20.50. like this...
8,200÷20.50=400
Now, that's our answer. 400.
Carlene has to sell 400 more T-Shirts in order to earn to her goal!
Thank You! Please mark me brainliest so that I can get encouraged to make more great answers like this one!
You volunteer to help drive people home from an event. There are 18 people who need rides, but you can only fit 7 of them in your vehicle. How many different groups of 7 people can you drive? 5,040 31,824 22,913,280 160,392,960.
The number of different groups of 7 people who can drive will be 31,824.
A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
You volunteer to help drive people home from an event. There are 18 people who need rides, but you can only fit 7 of them in your vehicle.
Then the number of different groups of 7 people can you drive will be
Different ways = ¹⁸C₇
Different ways = 18! / [(18 - 7)! x 7!]
Different ways = 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11! / (11! x 7 x 6 x 5 x 4 x 3 x 2 x 1)
Different ways = 31824
The number of different groups of 7 people who can drive will be 31,824.
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Then the number of different groups of 7 people can you drive will be
Different ways = ¹⁸C₇
Different ways = 18! / [(18 - 7)! x 7!]
Different ways = 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11! / (11! x 7 x 6 x 5 x 4 x 3 x 2 x 1)
Different ways = 31824
The number of different groups of 7 people who can drive will be 31,824.
PLS HELP 20 points
Triangle ABC is a right triangle with right angle B and altitude BD. If DC =54, AC=60, find AB (x) and BD (y)
Answer:
Hey Mate!
tis is ur answrr!
Question 7
The perimeter of the rectangle Is 34 inches. The perimeter of the triangle is
40 Inches.
Answer:
whts the question 86
Step-by-step explanation:
i dk
An electronics shop sells only TVs, phones and tablets. Number sold Select all of the statements below that are true. Number of electronic devices sold 80 60- 40 20 0 Monday Tuesday Wednesday Day Key TV Phone Tablet The largest total number of electronic devices sold was on Wednesday The smallest number of TVs sold was on Monday The same number of phones was sold on each of Monday, Tuesday and Wednesday On Tuesday, more tablets were sold than any other type of electronic device An electronics shop sells only TVs , phones and tablets . Number sold Select all of the statements below that are true . Number of electronic devices sold 80 60 40 20 0 Monday Tuesday Wednesday Day Key TV Phone Tablet The largest total number of electronic devices sold was on Wednesday The smallest number of TVs sold was on Monday The same number of phones was sold on each of Monday , Tuesday and Wednesday On Tuesday , more tablets were sold than any other type of electronic device
Answer:
THE ANSWER IS AS FOLLOWS
Step-by-step explanation:
The following statements are true based on the given information:
- The largest total number of electronic devices sold was on Wednesday.
- The smallest number of TVs sold was on Monday.
- The same number of phones was sold on each of Monday, Tuesday, and Wednesday. (Note: we cannot tell from the chart whether this number was zero or some other value.)
- On Tuesday, more tablets were sold than any other type of electronic device.
A graph is a way to represent a lot of data in such a visual format.
Hence, The correct statements are A, B, and D.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
The statement that is correct about the given table is,
A.) The largest total number of electronic devices sold was on Wednesday.
B.) The smallest number of TVs sold was on Monday.
D.) On Tuesday, more tablets were sold than any other type of electronic device
hence, the correct statements are A, B, and D.
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A rhombus, PQRS, has vertices at the points P(6, 2), Q(7,4), R(6, 6) and S(5, 4). PQRS is translated 3 squares left and 2 squares down. The image of PQRS is P'Q'R'S'. Work out the coordinates of the vertices of P'Q'R'S'.
Answer:
P': (3, 0)
Q': (4, 2)
R': (3, 4)
S': (2, 2)
Step-by-step explanation:
A rhombus, PQRS, has vertices at the points P(6, 2), Q(7, 4), R(6, 6) and S(5, 4). PQRS is translated 3 squares left and 2 squares down.
Rule: (x - 3, y - 2)
1. Using the given rule, find the new coordinates of the new image:
P': (6, 2) ➺ (6 - 3, 2 - 2) ➺ (3, 0)
Q': (7, 4) ➺ (7 - 3, 4 - 2) ➺ (4, 2)
R': (6, 6) ➺ (6 - 3, 6 - 2) ➺ (3, 4)
S': (5, 4) ➺ (5 - 3, 4 - 2) ➺ (2, 2)
New coordinates:
P': (3, 0)
Q': (4, 2)
R': (3, 4)
S': (2, 2)
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Solving Systems and Missing Angles
*Show your work and write the rule used to solve each problem
4. The magnitude of angle S is 40°. Answer A.
5. The value of x is 48°. Answer B.
6. The true conclusion is Trevor is correct because the point (4 , 0) satisfies both equations. Answer B.
7. The system of equations has infinitely many solutions. Answer D.
Two parallel lines cut by a transversal form several angles. Look at the top image on the left. Two types of alternate angles have the same magnitude of the angle
Alternate interior anglesThe tangent line of two parallel lines is equals
Line equation number 1 : ax + by = c4. From the picture
PQ and RS are parallel∠Q and ∠S are alternate interior angles ∠S = ∠Q5. Look at the top image on the right.
∠B = 42°∠A and ∠B are alternate exterior angles ∠A = ∠B6. Solve the system of equations with the substitution method
x - 2y = 4 and y = 4 - xTrevor (4 , 0)Joey (0 , - 2)x - 2y = 47. The system of equations
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I WILL GIVE BRIANLIEST FOR BEST ANSWER!!!
Which polygon appears to be regular?
Figure A
Figure B
Figure C
Figure D
Answer:
Figure A
Step-by-step explanation:
A regular polygon is a polygon that has equal sides and angles.
By looking at the choices you can see the Rhombus or square has all equal sides and all angles are the same.
Hope this helps!
Make sure to put this in notes for later <3
Xx
the null and alternative hypotheses are given. determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. what parameter is being tested? 105
The hypothesis test is a Left-tailed test and the parameter being tested is known as a Population mean.
What is a null and alternative hypotheses?
A null hypothesis predicts no effect between variables while an alternative hypothesis predict an effect or relationship between variables of the study.
What is the given hypothesis test?
In the question, the given hypothesis test includes "H0: σ=110" and "H1: σ<110"
Hence, based on the test above, the hypothesis test is a Left-tailed test and the parameter being tested is known as a Population mean.
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What is the value of x ?
Answer:
Step-by-step explanation:
x + 68 + 73 = 180
x + 141 = 180
x = 39
Sometimes life is tricky.
Sometimes things go wrong.
Sometimes you feel out of place
Or like you don't belong.
Sometimes bed things happen.
Sometimes you'll feel scared.
But focus on the positives;
Seek them, they'll be there.
When your brain won't stop whirring,
And you can't sleep at night,
Step out of the darkness
And look into the light.
The awful things won't vanish
Like thin air
But don't let them consume
That just makes you miserable
And intensifies the gloom.
So focus on your blessings
And let them shine through.
Don't let the negatives
Be what defines you :)
An amazing thing happens when you get honest with yourself and start doing what you love, what makes you happy. You stop merely looking forward to special events. You begin to live in each moment and you start feeling like a human being. You just ride the wave that is life, with this feeling of contentment and joy. You move fluidly, steadily, calm and grateful.
Hope this helps :)
Have a great day.
thanks for the message !!
Answer: ^-^ This is nice thanks. But here's something for you! -Lily ^-^
Step-by-step explanation:
────(♥)(♥)(♥)────(♥)(♥)(♥) __ ɪƒ ƴσυ'ʀє αʟσηє,
──(♥)██████(♥)(♥)██████(♥) ɪ'ʟʟ ɓє ƴσυʀ ѕɧα∂σѡ.
─(♥)████████(♥)████████(♥) ɪƒ ƴσυ ѡαηт тσ cʀƴ,
─(♥)██████████████████(♥) ɪ'ʟʟ ɓє ƴσυʀ ѕɧσυʟ∂єʀ.
──(♥)████████████████(♥) ɪƒ ƴσυ ѡαηт α ɧυɢ,
────(♥)████████████(♥) __ ɪ'ʟʟ ɓє ƴσυʀ ρɪʟʟσѡ.
──────(♥)████████(♥) ɪƒ ƴσυ ηєє∂ тσ ɓє ɧαρρƴ,
────────(♥)████(♥) __ ɪ'ʟʟ ɓє ƴσυʀ ѕɱɪʟє.
─────────(♥)██(♥) ɓυт αηƴтɪɱє ƴσυ ηєє∂ α ƒʀɪєη∂,
───────────(♥) __ ɪ'ʟʟ ʝυѕт ɓє ɱє.
high school has 36 players on the football team. the summary of the players' weights is given in the box plot. how many players weigh between 169 and 194 pounds?
There are 8 players who weigh between 169 and 194 pounds.
To answer this question, we can look at the box plot to understand the distribution of weights on the football team. The box plot shows us the minimum, maximum, median, and quartiles of the team's weights. The left quartile is 169 pounds, and the right quartile is 194 pounds. This means that 25% of the team's players weigh between 169 and 194 pounds. Since the team has 36 players, 25% of 36 is 9. However, since we are looking at the number of players between 169 and 194 pounds, we need to subtract 1 since the right quartile of 194 pounds is included in the number of players. Thus, there are 8 players who weigh between 169 and 194 pounds.
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