Answer: 7.286
Step-by-step explanation: To find the average, here is the formula =
Sum of all values in a data set ÷ the number of values = mean (average)
Step 1: We add the sum of the values
We do=
9 + 3 + 10 + 5 + 8 + 8 + 8 = 51
Step 2: We find the number of values
9 3 10 5 8 8 8
1 2 3 4 5 6 7
So there are 7 values.
Step 3: We divide the sum of values by the number of values
51 ÷ 7 = 7.286
So the answer is 7.285714....
We round it to the nearest 3 decimal places (3 d.p).
This becomes 7.286
The graphs below have the same shape. What is the equation of the red
graph?
f(x) = 4 – x²
g(x) = ?
O A. g(x) = (7 - x)2
O B. g(x) = 1 - x2
O C. g(x) = 7 - x2
D. g(x) = (1 - x)2
Answer:
C
Step-by-step explanation:
The red graph is obtained by shifting the graph of f(x) = 4 - x² upwards by some amount. We can see that the highest point on the red graph occurs at x = 0, where the value is 4.
To shift the graph of f(x) upwards by 3 units, we can add 3 to the entire function:
f(x) + 3 = 4 - x² + 3
= 7 - x²
So the equation of the red graph is:
g(x) = 7 - x²
Therefore, the correct answer is option C: g(x) = 7 - x².
Please help :( I don't quite understand...
Step-by-step explanation:
For Part A, use the function f(x) to find the average of tests taken.
X is number of test taken
f(x) is the average score given said num of tests taken,x,
We want after test number 3 so using the function,
[tex]f(x) = 0.2x + 79[/tex]
Plug in. 3 for x, and we will get our answer.
[tex]f(3) = 0.2(3) + 79 = 79.6[/tex]
Part B: Use the table for the answer.
When 2 test are taken, the average test score is
84
So part B is 84.
Part C:
[tex]f(2) = 0.2(2) + 79 = 79.4[/tex]
[tex]g(2) = 84[/tex]
Since
[tex]g(2) > f(2)[/tex]
The science class had a higher average after 2 tests
Answer:
you shoulda payed attention in class
Step-by-step explanation:
also u know it's bad when the test is so hard you can't even cheat on it
1) Workers are required. to рау. 41/2 of their salaries into an Educational fund, A worker's salary is GH 120.00. How * much does he pay into the Education al Fund?
We know that the workers are required to pay 4 and a half of their salaries into an education fund.
If the salary is S = 120.00, the educational fund receive from that worker:
[tex]F=4.5\times S=4.5 \times120=540[/tex]
Answer: he pays GH 540.00 into the education fund.
Let Θ be an angle in standard position. What is the terminal point (x,y) of Θ= π on the unit circle?
In the present scenario, the angle of Θ= π terminates in the second quadrant, where the x-coordinate is negative and the y-coordinate is positive.
the terminal point (x, y) of Θ= π on the unit circle can be calculated with the help of the following steps:
Step 1: Firstly, let’s recall the unit circle, which is a circle having a radius of 1 unit, and it is centered at the origin of a coordinate plane.
Step 2: Draw the angle of Θ= π on the unit circle. We can see that this angle has been formed by rotating in the clockwise direction along the unit circle from its initial position on the positive x-axis.
Step 3: As we know that the terminal point (x, y) of an angle in standard position is given by (cos Θ, sin Θ). Therefore, we can apply this formula to calculate the coordinates of the terminal point for the given angle of Θ= π on the unit circle.
Here, cos π= -1 and sin π= 0. Thus, the coordinates of the terminal point are (-1, 0). Hence, the correct answer is (-1, 0).Note: The coordinates of the terminal point for an angle in standard position can be negative, positive, or zero, based on the quadrant in which the angle terminates.
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R. Davis students are going to run in a relay tournament. In the first round 3 students will run a 1/3 mile relay race
The R. Davis children are preparing for a relay event in which they will compete in a 1/3 mile relay race. The opening round of the competition will include three kids who will compete in the race.
This means that in the relay event, each kid will have to run 1/9th of a mile. Students will need to improve on their speed, endurance, and coordination in order to prepare for the race. They must be able to effortlessly deliver the baton from one runner to another, maintain their speed throughout the race, and push themselves to the maximum. In addition to physical preparation, students must improve their mental focus and motivation. They will do so. need to stay positive and motivated throughout the race, and work as a team to achieve their goals.
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What is the scenario for R. Davis students in the relay tournament? How many students will run in the first round of the tournament, and what is the distance they will cover?
Aria puts 0. 75 liters of apple juice and 0. 5 liter of cranberry juice in a pitcher that holds 2 liters of liquid. She fills the rest of the pitcher with orange juice. What fraction of the mixture is orange juice?
Answer:
Step-by-step explanation:
Your equation is 0.75L + 0.5L + x = 2L
x = Orange juice
0.75L + 0.5L = 1.25L
2L - 1.25L = 0.75L
[tex]\frac{0.75L}{2L}[/tex] is your fraction
[tex]\frac{75}{200}[/tex] simplified is [tex]\frac{3}{8}[/tex]
I hope this helped,
we know the sample size is 90. for what sample proportion would the p-value be equal to 0.05? assume that all conditions necessary for inference are satisfied.
The sample proportion would be 0.5.we can calculate the proportion by plugging in n = 90, which yields a proportion of 0.5.
To determine what sample proportion would yield a p-value of 0.05, we must first understand the formula for calculating a p-value. The formula for a p-value is p-value = 1 - [tex](1 - proportion)^n[/tex], where n is the sample size. By manipulating this equation, we can solve for the proportion when the p-value is equal to 0.05. We can isolate the proportion by taking the inverse of both sides of the equation, which yields: proportion = 1 - [tex](1 - 0.05)^(1/n)[/tex]. Since the sample size is 90, we can calculate the proportion by plugging in n = 90, which yields a proportion of 0.5.
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where will the center of the circle be located? a. on a vertex of the triangle b. inside the triangle c. on a side of the triangle d. outside the triangle
A triangle's interior will always contain the center of the circle that forms the triangle. As a result, choice b is the correct one.
what is circle ?A circle is a closed curve in geometry made up of all points in a plane that are equally spaced from a fixed point known as the center. The circle's diameter, which is equal to twice the radius, is the distance across the circle that passes through its center. Geometrically speaking, circles are significant shapes with a wide range of applications. For instance, they are used in engineering to construct gears and other circular components, in navigation to determine the distance between two places on the surface of the Earth, in physics to simulate planetary orbits, and in art and design to produce aesthetically beautiful curves and patterns.
given
A triangle's interior will always contain the center of the circle that forms the triangle. As a result, choice b is the correct one.
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in california, people use 63 btu of energy per home. this is 30% less than the national average. how many btu does an average american household use?
The national average for energy usage per home in BTU is approximately 90 BTU.
BTU stands for British Thermal Unit, which is the amount of energy required to raise the temperature of one pound of water by one degree Fahrenheit. It is used to quantify the amount of energy consumed by heating or cooling equipment.In California, people use 63 BTU of energy per home, which is 30% less than the national average. Therefore, to calculate the average BTU consumption for American households, we will use the following formula: National average BTU = California BTU / (1 - 30%)
Let's solve for the national average BTU: National average BTU = 63 BTU / (1 - 0.30)
National average BTU = 63 BTU / 0.70National average BTU = 90 BTU
Therefore, the average American household uses 90 BTU of energy per home.
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Victor made 50 ounces of trail mix for a camping trip he pours 12 ounces for one serving how many people can have fully serving?
Answer:
To find the number of people who can have a full serving of trail mix from 50 ounces, we need to divide the total amount of trail mix by the amount of trail mix per serving.
50 ounces of trail mix / 12 ounces per serving = 4.1667 servings
Since we can't have a fraction of a serving, we need to round down to the nearest whole number.
So, Victor can make 4 servings of trail mix from 50 ounces. Therefore, 4 people can have a full serving of trail mix.
130.25.122.63mario's pizzeria bakes olive pieces in the outer crust of its 20-inch (diameter) pizza. there is at least one olive piece per inch of crust. how many olive pieces will you get in one slice of pizza? assume the pizza is cut into eight slices.
By using circumference of circle, we find that In one slice of pizza you will get about 8 olive pieces from Mario's Pizzeria.
The circumference of circle of a 20-inch diameter pizza can be calculated as follows:
Circumference = π × diameter
Circumference = 3.14 × 20
Circumference = 62.8 inches
If there is at least one olive piece per inch of crust, then there will be 62.8 olive pieces on the outer crust of the entire pizza.
If the pizza is cut into eight slices, each slice will have 1/8th of the total circumference of the pizza. Therefore, each slice will have:
62.8 inches ÷ 8 slices = 7.85 inches of outer crust
Since there is at least one olive piece per inch of crust, each slice will have approximately 8 olive pieces on the outer crust.
Therefore, you can expect to get about 8 olive pieces in one slice of pizza from Mario's Pizzeria.
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The voltage in an electrical circuit is multiplied by itself each time it is reduced. The voltage is 27/125 of a volt and it has been reduced three times. What is the voltage in exponential form?
Answer: x 3= 27/125
Step-by-step explanation:
Help needed LIKE RN!! URGENT!!
The surface area of the cylinder is approximately 127.17 cm².
What is the surface area of the cylinder?Surface area of cylinder is the total space covered by the flat surfaces of the bases of the cylinder and its curved surface. The formula for the surface area of a cylinder is: 2πr² + 2πrh.
To solve this problem, we first need to find the radius of the cylinder. The diameter of the cylinder is 3 cm, so the radius is half of that:
r = 3/2
= 1.5 cm
We need to substitute the values we know into the formula for surface area:
= 2π(1.5)² + 2π(1.5)(12)
= 2π(2.25) + 2π(18)
= 4.5π + 36π
= 40.5π
We will now approximate the value of π to get the numerical answer, so, our Surface Area will be:
= 40.5π
= 40.5 * π
= 40.5 * 3.14
≈ 127.17 cm²
Answered question "A cylinder is 12 cm tall and has a diameter of 3 cm. What is the surface area?"
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Spencer lives 4/5 mile. In one week, he commutes a total of 16 miles to and from work. How many round trips does he make
?
To answer this problem, we must utilize the information provided to calculate the number of round trips Spencer takes every week. Spencer commutes a total of 16 miles each week,
which translates to 8 miles to work and 8 miles home. We also know that he lives around a quarter mile from his employment. the number of round trips Spencer takes every week. Spencer commutes a total of 16 miles each week, Thus we can create an equation to calculate the number of round trips he takes 8 = (4/5) * n where n is the number of trips Spencer takes. To find n, we can cross-multiply: 8 * 5 = 4 * n n = 20/4 n = 5 As a result,Spencer lives 4/5 mile. In one week, he commutes a total of 16 miles to and from work. Spencer makes five round journeys to and from work each week.
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four students use different instruments to measure the length of the same pen. which measurement implies the greatest precision?
If four students use different instruments to measure the length of the same pen, the measurement which implies the greatest precision is 160.0 mm. Correct option is A.
To determine which measurement implies the greatest precision, we need to look at the number of significant figures in each measurement. The greater the number of significant figures, the greater the precision of the measurement.
In this case, we have four measurements:
(a) 160.0 mm
(b) 16.0 cm
(c) 0.160 m
(d) 0.00016 km
We can see that all of these measurements represent the same length in different units, and they are all written with the same number of decimal places. However, the number of significant figures is different for each measurement.
Measurement (a) has four significant figures, while measurements (b), (c), and (d) each have three significant figures. Therefore, measurement (a) implies the greatest precision, since it has the most significant figures.
So, the answer is (a) 160.0 mm, which implies the greatest precision among the given measurements.
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Complete question is:
Four students use different instruments to measure the length of the same pen. Which measurement implies the greatest precision?
(a) 160.0 mm
(b) 16.0 cm
(c) 0.160 m
(d) 0.00016 km
(e) Need more information
The figure shows intersecting lines k and m. What is the measure of angle a?
Type the number in the box.
86°
a
degrees
According to the information provided, k and m are crossing lines with an angle of 86°. We know this because k and m are straight lines.
The angles add up to 180 degrees.
Then we receive,
[tex]a + 86 =180[/tex]
Or, a = 180 -86
Or, a = 94°.
As a result, an is 94°.
The angle an is 94 degrees.
Supplementary angle are formed when two angles add to 180 degrees. When additional angles are added together, they form a straight angle, or 180 degrees. In these other words, if indeed the sum of angles 1 and 2 equals 180 degrees, angles 1 and 2 are supplementary. Angles 1 and 2 are referred to as "supplements" to one another in this context.
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A ball is thrown from an initial height of 3 meters with an initial upward velocity of 30(m)/(s). The ball's height h (in meters) after t seconds is given by the following.
h=3+30t-5t^(2)
Find all values of t for which the ball's height is 13 meters.
Answer: -451
Step-by-step explanation:
so, the height we are trying to find is 13 meters.
13=3+30t-5t^2
so, we can go ahead and pull that number in.
now we have to subtract the 3 to try and get as much as possible over on the other side to find t.
10=30t-5t^2
Step-by-step explanation:
h(t) = 3 + 30t - 5t²
the height is set to 13 meters.
since the ball will go up and then come back down again, we expect 2 points of time, when the ball is at 13 meters high. if any at all, by the way (keep that in mind for similar questions, the object might not even reach a certain height).
13 = 3 + 30t - 5t²
10 = 30t - 5t²
2 = 6t - t²
0 = -t² + 6t - 2
the general solution to a quadratic equation
ax² + bx + c = 0
is
x = (-b ±sqrt(b² - 4ac))/(2a)
in our case
x = t
a = -1
b = 6
c = -2
t = (-6 ±sqrt(6² - 4×-1×-2))/(2×-1) =
= (-6 ±sqrt(36 - 8))/-2 = (-6 ±sqrt(28))/-2 =
= (-6 ±sqrt(4×7))/-2 = (-6 ±2×sqrt(7))/-2 =
= 3 ± sqrt(7)
t1 = 3 + sqrt(7) = 5.645751311... seconds
t2 = 3 - sqrt(7) = 0.354248689... seconds
on its way up the ball will pass the mark of 13 meters after about 0.35 seconds, and on its way back down it will pass the mark of 13 meters again after about 5.65 seconds.
For what real numbers x is the value of x2
– 6x + 9 negative?
Answer:
Step-by-step explanation:
EZ
its 21
On April 15 Mary purchased a washer and dryer from her local
Appliance store tax free sale day the cost of the washer and dryer was 1,1234. 46 Mary decided to pay using three month no interest credit plan Mary make down payment of 100$ before leaving the store Mary decides she needs a rack for the dryer that cost 50. 00$ what is the total amount Mary still owe
The total amount Mary still owes is $1,184.46.
The total cost of the washer and dryer is $1,234.46, and Mary made a down payment of $100. This means she still owes:
$1,234.46 - $100 = $1,134.46
In addition, Mary decides to purchase a rack for the dryer for $50.00. Therefore, the total amount Mary still owes is:
$1,134.46 + $50.00 = $1,184.46
Mary purchased a washer and dryer for $1,234.46 on a tax-free sale day using a three-month no-interest credit plan. She made a down payment of $100 and later decided to buy a rack for the dryer for $50.00. So Mary still owes $1,184.46.
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A grocer can buy oranges for $1.65 per pound.
1. Write an equation relating c, the cost; and p, the pounds of oranges.
2. An orange order cost $260.10. How many pounds did the grocer order? (Round to the nearest whole number)
Answer:
157 pounds I'm pretty sure the equation would be 1.65c=p
Step-by-step explanation:
p is 1 because no given varible since p=1 pound 1.65 would equal p they 157 pounds bc 260.10/1.65 gives you 157 rounded
The initial number of bacteria in a culture is 12,000 the culture doubles each day write an exponential function to model the population y of bacteria after X days which we used to determine how many bacteria present after 15 days 
The population of bacteria after 15 days is 384,000.
Describe Equation?An equation is a mathematical statement that expresses the equality of two expressions, typically separated by an equal sign (=). It consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. Equations are used to solve problems in various fields of study, such as physics, engineering, economics, and mathematics. They are also used in everyday life, such as calculating the cost of groceries or determining the time it takes to complete a task. Solving an equation involves finding the values of the variables that make the equation true.
The exponential growth model for this scenario can be written as:
y = a * (2ˣ)
Where:
y = population of bacteria after x days
a = initial population of bacteria = 12,000
x = number of days
Substituting the given values into the equation, we get:
y = 12,000 * (2ˣ)
To determine the population of bacteria after 15 days, we simply substitute x = 15 into the equation:
y = 12,000 * (2¹⁵)
y = 12,000 * 32
y = 384,000
Therefore, the population of bacteria after 15 days is 384,000.
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Describe and correct the error a student made in identifying the growth or decay factor for the
function y = 2.55(0.7)
Step 1 The base of the function
is 0.7, so it represents
exponential decay.
Step 2 The function in the form
y = a(1-r)* is
y = 2.55(1-0,7)*
Step 3 The decay factor is 0.3.
X
The corrected version has a base of 0.7, representing exponential decay, and has the function[tex]y = a(1-r)x[/tex] as [tex]y = 2.55(0.7)x[/tex] with a [tex]0.3[/tex] decay factor.
Explain function?
A function is a link or statement that contains one or more values. Both inputs and outputs are numerous. With each input, there is only one output. The links between the inputs and the results are described by the function.
The error the student made is in Step 2 where they incorrectly wrote the function in the form [tex]y = a(1-r)*.[/tex]The correct form for exponential decay is [tex]y = a(1-r)^x[/tex], where x is the number of time periods. So, the correct equation for the given function is [tex]y = 2.55(0.7)^x.[/tex]
To find the decay factor, the student should have subtracted the base from 1, instead of multiplying it by -1. Therefore, the correct decay factor is [tex]1 - 0.7 = 0.3.[/tex]
So, the corrected version of the solution is:
Step 1: As the function's base is[tex]0.7[/tex], it simulates exponential decay.
Step 2: The function in the form [tex]y = a(1-r)^x is y = 2.55(0.7)^x.[/tex]
Step 3: The decay factor is [tex]0.3.[/tex]
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Find the sum of \sqrt{25}
25
and 4\sqrt{2}4
2
in simplest form. Also, determine whether the result is rational or irrational and explain your answer.
Answer:
The answer to your problem is:
The sum of those given numbers in the simplest form is written as 11
The result is rational.
Difference between irrational and rational:
Irrational: Those numbers that cannot be written as a ratio of integers.
Rational: Those numbers that can be written as a ratio of integers.
[tex]\sqrt[]{4} = \sqrt{2^{2} } = 2[/tex] ( We know that )
[tex]3\sqrt{9} = 3 * \sqrt{3^{2} } = 3*3 = 9[/tex] ( Ok )
Thus: \/
[tex]\sqrt[]{4} + 3\sqrt{9} = 2+9 = 11[/tex]
Thus, the answer to your problem is,
The sum of those given numbers in the simplest form is written as 11
The result is rational.
WORTH 23 POINTS - While reading a news article, Bethany noticed that the word "senselessness" had a lot of repeating letters. Bethany wondered about the probabilities of randomly drawing certain letters if each letter in "senselessness" were written on an index card and put into a bag.
Answer:
To determine which letter has the greatest probability of being selected and its corresponding probability, we need to count the number of times each letter appears in the word "senselessness".
The word "senselessness" contains a total of 12 letters, with 4 distinct letters: "e", "s", "n", and "l". We can count the number of times each letter appears as follows:
"e" appears 4 times
"s" appears 4 times
"n" appears 2 times
"l" appears 2 times
Therefore, the letter "e" and "s" have the greatest probability of being selected, as they appear most frequently in the word. The probability of selecting the letter "e" would be 4/12, which simplifies to 1/3 or approximately 0.33. Similarly, the probability of selecting the letter "s" would also be 1/3 or approximately 0.33.
On the other hand, the letter with the least probability of being selected would be either "n" or "l", as they appear the least frequently. The probability of selecting either "n" or "l" would be 2/12, which simplifies to 1/6 or approximately 0.17.
I'm not sure if this answers your question, but i really hope it helps!
Please mark brainliest though, it really helps!
WILL MARK BRAINLIEST draw the right triangle (show your process)
Answer:[tex]3\sqrt{2}[/tex]
Step-by-step explanation:
in order to make a right triangle point should be either (1,4) or (4,1)
each way hypotenuse of this triangle is
[tex]known coordinates are (4,4)-- > (x1,y1)\\ and (1,1)-- > (x2,y2) \\\sqrt{(x1-x2)^{2}+(y1-y2)^{2}} =\sqrt{(4-1)^{2}+(4-1)^{2}}=\sqrt{9+9}=\sqrt{3^{2}*2}=3\sqrt{2}[/tex]
2. The function f gives the dollar value of a bond t years after the
bond was purchased. The graph of Jis shown.
What is f(0)? What does it mean in this situation?
b. What is f(4.5)? What does it mean in this situation?
c. When is f(t) = 1500? What does this mean in this
situation?
The function f a. f(0) represents the bonds after 0 years. That is the immediate value of bond in dollars at 0 year. b. f(4.5) represents the value of the bond 4.5 years later.
What does a mathematical function mean?A function in mathematics is a rule that designates a certain output value for each input value. Each input from the domain has precisely one output in the range, forming a relationship between two sets known as the domain and the range. The letter f(x), where x is the input variable and f(x) is the output variable, is a common way to represent a function. The output variable is specified by the function's rule, but the input variable can accept any value from the function's domain.
For the given graph of the function:
a. f(0) represents the bonds after 0 years. That is the immediate value of bond in dollars at 0 year.
b. f(4.5) represents the value of the bond 4.5 years later.
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A gamer is observing her score, y, as she plays a video game. She currently has 3,200 points and is gaining 200 points for every minute, x, she plays.
Which of the following equations can be used to describe this linear relationship?
A. y = 3,200x − 200
B.y = 3,200x + 200
C. y = 200x − 3,200
D. y = 200x + 3,200
Answer: d
Step-by-step explanation:
the slope is positive 200 because she is gaining 200 points for every minute which is x. 200x or 200 multiplied by x is her slope and her y intercept is 3200
4x = 28 I need help with this.
Answer:
x=7
Step-by-step explanation:
28/4 = 7
Answer:x=7
Step-by-step explanation:
if the dental director wanted to analyze the data collected from the cpi, which type of descriptive statistics should be used to measure central tendencies?
To measure central tendencies in the data collected from the Consumer Price Index (CPI), the dental director should use measures of central tendency, such as the mean, median, and mode.
The mean is the average of a set of numbers and is calculated by adding all the numbers together and then dividing by the total number of numbers. The median is the middle number when the numbers are placed in order from least to greatest. The mode is the number that appears most often in a set of numbers.
Using these measures of central tendency will allow the dental director to gain a better understanding of the CPI data, as they will be able to identify the center point of the data and also see how frequently particular values appear. This can help in making informed decisions about policies and other changes.
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10. 4 out of 5 students are going on the field trip tomorrow. If there are 400 students, how many
are going on the field trip?
The total students who are going on the field trip are 320 students out of 400 students which has been obtained by using the concept of fractions.
Define Fraction?A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).
If 4 out of 5 students are going on the field trip, then the fraction of students going on the field trip is 4/5.
To find out how many students are going on the field trip, we can multiply this fraction by the total number of students:
Number of students going on the field trip = (4/5) x 400
Number of students going on the field trip = 320
Therefore, 320 students are going on the field trip.
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