Find a sinusoidal function with the following four attributes: (1) amplitude is 10, (2) period is 5, (3) midline is y = 31, and (4) ƒ(3) = 41. f(x) = =
Answers
The sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.
To find a sinusoidal function with the given attributes, we can use the general form of a sinusoidal function:
f(x) = A * sin(Bx + C) + D
where A represents the amplitude, B represents the frequency (related to the period), C represents the phase shift, and D represents the vertical shift.
Amplitude: The given amplitude is 10. So, A = 10.
Period: The given period is 5. The formula for period is P = 2π/B, where P is the period and B is the coefficient of x in the argument of sin. By rearranging the equation, we have B = 2π/P = 2π/5.
Midline: The given midline is y = 31, which represents the vertical shift. So, D = 31.
f(3) = 41: We are given that the function evaluated at x = 3 is 41. Substituting these values into the general form, we have:
41 = 10 * sin(2π/5 * 3 + C) + 31
10 * sin(2π/5 * 3 + C) = 41 - 31
10 * sin(2π/5 * 3 + C) = 10
sin(2π/5 * 3 + C) = 1
To solve for C, we need to find the angle whose sine value is 1. This angle is π/2. So, 2π/5 * 3 + C = π/2.
2π/5 * 3 = π/2 - C
6π/5 = π/2 - C
C = π/2 - 6π/5
Now we have all the values to construct the sinusoidal function:
f(x) = 10 * sin(2π/5 * x + (π/2 - 6π/5)) + 31
Simplifying further:
f(x) = 10 * sin(2π/5 * x - 2π/10) + 31
f(x) = 10 * sin(2π/5 * x - π/5) + 31
Therefore, the sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.
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Related Questions
when Iris -12 - (-12), she got a difference of -24. Is her answer correct? If not, what mistake did she make?
Answers
Answer: Her answer is incorrect.
Step-by-step explanation: You have to distribute the negative sign to (-12), once you do that the (-12) becomes a positive making the equations -12 + 12 resulting in your answer being 0 not -24.
find 60% of 40 gallons.
Answers
Hey there!
60% of 40
= 60% * 40
= 60/100 * 40
= 60 ÷ 20 / 100 ÷ 20 * 40
= 3/5 * 40
= 3/5 * 40/1
= 3(40) / 5(1)
= 120 / 5
= 120 ÷ 5 / 5 ÷ 5
= 24/1
= 24 ÷ 1
= 24
Therefore, your answer is: 24
Good luck on assignment & your day day!
~Amphitrite1040:)
a population of women has 40% with dark eyes. if a sample of 20 women are selected from this population, what is the probability that exactly ten of the women have dark eyes?
Answers
The probability that exactly 10 of the 20 women have dark eyes is 0.2051.
What is the probability that exactly ten of the women have dark eyes?The theory used in this question is the binomial probability formula, which is used to calculate the probability of a certain number of successes in a given number of trials.
The steps for this process are as follows
Step 1: Calculate the binomial formula: (n!)/(x!(n-x)!) * p^x * (1-p)^(n-x),
where n is the number of trials (in this case, 20), x is the number of successes (10), p is the probability of a success (0.40 in this case), and n-x is the number of failures (10).
Step 2: Plug the values into the formula: (20!)/(10!(20-10)!) * 0.40^10 * (1-0.40)^(20-10)
Step 3: Simplify the formula: (20*19*18*17*16*15*14*13*12*11) / (10*9*8*7*6*5*4*3*2*1) * 0.40^10 * 0.60^10
Step 4: Calculate the result: 0.2051
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if the level of significance of a hypothesis test is raised from .01 to .05, the probability of a type ii error will group of answer choices also increase from .01 to .05. not change. decrease. increase.
Answers
if the level of significance of a hypothesis test is raised from .01 to .05, then the probability of a Type II error will decrease when the level of significance of a hypothesis test is raised from .01 to .05. (option a)
This change in the level of significance does not directly affect the probability of a Type II error. A Type II error occurs when we fail to reject the null hypothesis, even though it is false. This means that we have concluded that there is no relationship between the variables, even though there actually is one.
The probability of a Type II error depends on several factors, such as the sample size, the effect size, and the level of significance. In general, as the level of significance increases, the probability of a Type II error decreases.
This is because when we are more lenient in rejecting the null hypothesis, we are more likely to detect any real relationship that exists between the variables.
Therefore, the correct answer to your question is (a)
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Can someone please help meeeeeee
Answers
Solve: (x + 2)² - 5 = 7
○ x = 2 ± √12
O
○ x = -2± √12
X
x =
−2+2√3
O x = −2+2√3
O
Answers
Step-by-step explanation:
(x + 2)² - 5 = 7
Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.
○ x = -2± √12
find the general solution of the system { x ′ =2x−y
y ′ =3x−2y
Answers
The general solution of the given system of differential equations is\(,$$\boxed{\begin{aligned} x &= c_1e^{2t} + c_2e^{3t}\\ y &= -2c_1e^{2t} - c_2e^{3t} \end{aligned}}$$ where $c_1$ and $c_2$\) are constants.
Find the characteristic equation of the system of differential equations by assuming the solutions in the form of
\(x = e^{rt}$ and $y = e^{st}$. \\$\begin{aligned} \frac{dx}{dt} &= 2x - y\\ \frac{dy}{dt} &= 3x - 2y \end{aligned}$$\)
Substituting \(x = e^{rt}$ and $y = e^{st}$\) in the above system, we get
\($$\begin{aligned} re^{rt} &= 2e^{rt} - e^{st} \implies r = 2 - e^{-st}\\ re^{st} &= 3e^{rt} - 2e^{st} \implies r = 3 - 2e^{-st} \end{aligned}$$\)
Equating the above values of
\(r$, \\we get$\begin2 - e^{-st} &= 3 - 2e^{-st}\\ \implies e^{-st} &= 1\\ \implies -st &= \ln(1) = 0\\ \implies s &= 0\\ \end{aligned}$$\\Therefore, \\$r = 2$ for $x$ and $r = 3$ for $y$.\)
Hence, the characteristic equation is:
\($$r^2 - 5r + 6 = 0$$$$\implies (r - 2)(r - 3) = 0$$$$\implies r_1 = 2, r_2 = 3$$\)
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How do you add and subtract Polynomials step by step?
Answers
The result is already simplified, so we are done.
Polynomials can only be added or subtracted if like terms are combined. Similar terms are expressions with the same exponent and variable. Here are the steps to add or subtract polynomials:
Step 1: Write the polynomials vertically, lining up like terms.
Step 2: Combine the coefficients of the like terms by adding or subtracting them. The variable and exponent should stay the same.
Step 3: Write the result of each combination under the line.
Step 4: Simplify the result by combining any like terms that remain.
Here is an example of how to add two polynomials:
\((3x^2 + 4x + 5) + (2x^2 + 3x - 2)\)
Step 1:
diff
\(3x^2 + 4x + 5\\2x^2 + 3x - 2\)
Step 2:
markdown
\(3x^2 + 2x^2 = 5x^2\\4x + 3x = 7x\\5 - 2 = 3\)
Step 3:
\(5x^2 + 7x + 3\)
Step 4: The result is already simplified, so we are done.
Here is an example of how to subtract two polynomials:
\((3x^2 + 4x + 5) - (2x^2 + 3x - 2)\)
Step 1:
diff
\(3x^2 + 4x + 5\\- 2x^2 - 3x + 2\)
Step 2:
markdown
\(3x^2 - 2x^2 = x^2\\4x - 3x = x\\5 + 2 = 7\)
Step 3:
\(x^2 + x + 7\)
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Select the correct answer.
Courtney constructed this figure using a compass with its width set equal to PR, the radius of the circle.
She claims triangle PRS is equilateral because all three sides of the triangle are equal to PR. She also claims that applying the same argument to prove each triangle in the figure is equilateral proves that the inscribed hexagon is also equilateral.
Which statement is true?
A.
Courtney's reasoning about triangle PRS is correct, but the hexagon is not equilateral.
B.
Courtney's reasoning about triangle PRS is correct, and the hexagon is equilateral.
C.
Courtney's reasoning about triangle PRS is incorrect, and the hexagon is not equilateral.
D.
Courtney's reasoning about triangle PRS is incorrect, but the hexagon is equilateral.
Answers
Answer:
B.Courtney’s reasoning about triangle PRS is correct, and the hexagon is equilateral.
Step-by-step explanation:
Write a verbal expression for each algebraic expression. 1. ²⁄₄ w to the 4th power 2. ˣ⁄₉ 3. ⅗ (3 - x))
Answers
Answer:
see below
Step-by-step explanation:
1) (2/4w)⁴
The product of two over four and w, to the fourth power.
2) x/9
The quotient of x and 9.
3) 3/5 (3 - x)
The product of three over five and the difference of 3 and x.
Answer:
See below
Step-by-step explanation:
1) The quotient of 2 and four times w to the 4th power
2) The quotient of x and 9
3) The quotient of 3 and 5 multiplied with the difference of 3 and x.
Write the series (-3)+(-1)+3+9+.....+97 to n terms in sigma notation
Answers
The series (-3)+(-1)+3+9+...+97 to n terms can be expressed in sigma notation as: ∑_{k=1}ⁿ ((k-1) + 97(-1)\(^k\)).
The series starts with -3 and each term is obtained by multiplying the previous term by -1 and then adding 4 to it. We can express this recurrence relation using the formula:
a_{n+1} = -a_n + 4
where a_1 = -3.
To write this series in sigma notation, we can use the following formula:
∑_{k=1}ⁿ a_k = a_1 + a_2 + ... + a_n
Substituting the recurrence relation for a_k, we get:
∑_{k=1}ⁿ a_k = -3 + (-3+4) + (-(-3+4)+4) + ... + (-1)⁽ⁿ⁻¹⁾(-3+4) + (-1)ⁿ(97)
Simplifying this expression, we can factor out -3+4 from each term:
∑_{k=1}ⁿ a_k = (-3+4) + (-3+4) + (-3+4) + ... + (-3+4) + (-3+4) + 97(-1)ⁿ
There are n-1 terms of (-3+4), and the last term is 97(-1)ⁿ. Therefore, we can write:
∑_{k=1}ⁿ a_k = (n-1)(-3+4) + 97(-1)ⁿ
Simplifying this expression, we get:
∑_{k=1}ⁿ a_k = (n-1) + 97(-1)ⁿ
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Now your teacher is hosting a picnic for their family and discovers that 30 relatives are coming to the picnic and everyone wants to eat 2 hot dogs! What is the least number of packages of hot dogs and hot dog rolls that your teacher will have to buy to feed all her relatives?
Answers
Answer:
6 hot dogs package assuming she's buying a single package to contains 10 package or approximately 8 rolls if she buys the 8 package containing above 60 rolls of hot dogs.
In my opinion, she needs at least 8 package of hot dog rolls to make hot dogs for her guests.
Step-by-step explanation:
Hello,
There are typically 10 hot dogs in a single package. However some may contain 8 hot dogs rolls in a single pack so we'll solve for both in case which ever one she decides to buy.
My teacher is expecting 30 guests coming to the party and each 1 one them wants to eat 2 hot dogs.
To solve this question, we would first of all know the total number of hot dogs they'll probably eat at the party.
2 hot dogs = 1 person
y hot dogs = 30 people
y = (30 × 2) / 1
y = 60 hot dog.
Therefore, the guest would most likely consume at least 60 hot dogs at the party.
However, in a single hot dog package, it contains 10 hot dogs in it.
Now we'll have to find out the total number of hot dogs package my teacher needs to buy to prepare the hot dogs for her guests.
To do that, we'll have to divide the total number of hot dogs expected to be consumed by the total number of hot dogs in one package.
Number of package = total number of hot dogs expected to be consumed / total number of hot dogs in one package.
Number of package she needs = 60 / 10
Number of package she needs = 6
Therefore, my teacher requires 6 hot dog package.
But some hot dogs comes in 8 rolls per package
Using the same method above,
Number of rolls she needs = 60 / 8
Number of rolls she needs = 7.5 approximately 8 rolls
A child ate 30 grams of cereal for breakfast and her brother ate 40% more than that. How many grams of cereal did the brother eat?
Answers
Answer:70%
Step-by-step explanation: 30 + 40 grams = 70
70 Grams
Two siblings have savings accounts for the money that they are earning. The older sister started her account with $50, while her younger brother started his account with $80. She is adding $7 per week, while her brother saves an additional $5 per week.
Answers
To calculate their savings after a certain number of weeks, we can use the given information to determine the total savings for each sibling. Total savings of the younger brother = $80 + $5n. Total savings of the older sister = $50 + $7n.
The older sister started her savings account with $50 and is adding $7 per week. The younger brother started his savings account with $80 and is adding $5 per week.
For the older sister, her initial savings is $50, and she adds $7 per week. After n weeks, her total savings can be calculated using the equation:
Total savings of the older sister = $50 + $7n.
For the younger brother, his initial savings is $80, and he adds $5 per week. After n weeks, his total savings can be calculated using the equation:
Total savings of the younger brother = $80 + $5n.
By substituting the value of n, we can determine the total savings for each sibling after a specific number of weeks.
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One of the legs of a right triangle measures 12 cm and its hypotenuse measures 14 cm.Find the measure of the other leg. If necessary, round to the nearest tenth.
Answers
Concept
Name the sides and apply the Pythagoras theorem to find the third side.
Opposite = 12 cm
Hypotenuse = 14 cm
Adjacent = m
\(\begin{gathered} \text{Pythagoras theorem} \\ \text{Opposite}^2+Adjacent^2=Hypotenuse^2 \end{gathered}\)Next,
Substituting opposite and hypotenuse to get the adjacent.
\(\begin{gathered} \text{Opposite}^2+Adjacent^2=Hypotenuse^2 \\ 12^2+m^2=14^2 \\ 144+m^2\text{ = 196} \\ \text{Next, collect like terms} \\ m^2\text{ = 196 - 144} \\ m^2\text{ = 52} \end{gathered}\)Find the square root of both sides
\(\begin{gathered} \sqrt[]{m^2}\text{ = }\sqrt[]{52} \\ m\text{ = 7.211} \end{gathered}\)Final answer
Other leg = 7.2 cm
GO
5
4+
3+
2+
1+
-5-4-3-2-1₁.
Mark this and return
-2
2345
-4
1 2 3 4 5 x
●
Which explains why the graph is not a function?
It is not a function because the points are not
connected to each other.
59:28
It is not a function because the points are not related
by a single equation.
O It is not a function because there are two different x-
values for a single y-value.
O It is not a function because there are two different y-
values for a single x-value.
Save and Exit
Next
Submit
Answers
A statement which best explains why the graph is not a function include the following: D. It is not a function because there are two different y-values for a single x-value.
How to determine the true statement about the graph of a function?In Mathematics, a function is typically used in mathematics for uniquely mapping an input variable (domain or independent value) to an output variable (range or dependent value).
This ultimately implies that, an independent value (x-value) represents the value on the x-axis of a cartesian coordinate while a dependent value (y-value) represents the value on the y-axis of a cartesian coordinate.
By critically observing the graph of this function (see attachment), we can reasonably infer and logically deduce that the graph does not represent a function because there are two different dependent values (y-values) for a single independent value (x-value) i.e y = -2 and y = 4 for a single x-value of 4.
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A rectangular block of metal is 0.24 m long, 0.19 m wide and 0.15 m high. If the metal block is melted to form a cube, find the length of each side of the cube.
Answers
The more accurate value is 0.18982439916059 but this value isn't exact
========================================================
Explanation:
The volume of this rectangular block is 0.24*0.19*0.15 = 0.00684 cubic meters.
If we had a cube of this volume, then it has some side length x such that x^3 = 0.00684
Apply the cube root to both sides. This is the same as raising both sides to the 1/3 power
\(x^3 = 0.00684\\\\x = \sqrt[3]{0.00684}\\\\x = (0.00684)^{1/3}\\\\x \approx 0.18982439916059\\\\x \approx 0.19\\\\\)
The side length of the cube is approximately 0.19 meters long
What is the speed of a wave with a wavelength of 10 meters
Answers
Any wave's speed is equal to its frequency times wavelength. Now, the question doesn't specifically state what kind of wave it is. Thus, there might be two distinct scenarios: If the wave is elastic (sound is an example), you can't calculate its speed unless you also know its frequency and wavelength. However, the speed in vacuum is constant (3*108 m/s) if the wave is electromagnetic (for instance, light). In order to maintain constant velocity, frequency must shift in response to variations in wavelength. The frequency of light rays is constant in all other optical media (apart from vacuum and air), although their velocity and wavelength change correspondingly. However, that is not the case here since if it must be an EM wave with a wavelength of 10 m, then it must be a radio wave that travels uniformly through all medium at a speed of 3*108 m/s.
Vickie and Amy made $23.10 together selling cookies. Vickie made twice as much as Amy. How much did Vickie make? PLSS Help! giving brainliest!!
Answers
Answer:
amy made 5.775 while vickie made 17.325
Step-by-step explanation:
i dunno
How is this number read?
21.095
A. twenty-one ninety-five
B. twenty-one and ninety-five tenths
C. twenty-one and ninety-five hundredths
D. twenty-one and ninety-five thousandths
Answers
Answer:
C
Step-by-step explanation:
twenty-one and ninety-five thousandths
I REALLY NEED YOUR HELP!
Samantha and Jillian were going for a walk. Jillian left 15 seconds ahead of Samantha. • Samantha walked at a speed of 7 feet per second. • Jillian walked at a speed of 6 feet per second. How many seconds had Jillian been walking when the two girls had walked the same distance?
Is the answer 105?
Answers
Answer:
105 seconds
Step-by-step explanation:
To solve this, we can set up an equation.
First, let's find how far ahead Jillian is.
15*6=90
Jillian is 90 feet ahead.
Let's name the time that Samantha walks x.
7x is the distance Samantha walks.
90+6x is the distance Jillian walks.
We want to find how many seconds they have walked when the distance is equal.
So let's form an equation.
7x=90+6x
Subtract 6x from both sides.
x=90
Samantha needs to walk 90 seconds.
Jillian started 15 seconds before that.
90+15=105
Jillian had been walking for 105 seconds when the two girls had walked the same distance.
A radioactive substance has an initial mass of 475 grams and a half-life of 20 days. What equation is used to determine the number of days, x, required for the substance to decay to 63 grams?
Answers
The equation used to determine the number of days, x, required for the substance to decay to 63 grams is: x ≈ 83.60
To determine the number of days, x, required for a radioactive substance to decay to 63 grams, we can use the exponential decay formula. The equation that represents the decay of a radioactive substance over time is:
N(t) = N₀ * (1/2)^(t/h)
Where:
N(t) is the remaining mass of the substance at time t
N₀ is the initial mass of the substance
t is the time elapsed
h is the half-life of the substance
In this case, we have an initial mass of 475 grams, and we want to find the number of days required for the substance to decay to 63 grams. We can set up the equation as follows:
63 = 475 * (1/2)^(x/20)
To solve for x, we can isolate the exponential term on one side of the equation:
(1/2)^(x/20) = 63/475
Next, we can take the logarithm (base 1/2) of both sides to eliminate the exponential term:
log(base 1/2) [(1/2)^(x/20)] = log(base 1/2) (63/475)
By applying the logarithmic property log(base b) (b^x) = x, the equation simplifies to:
x/20 = log(base 1/2) (63/475)
Finally, we can solve for x by multiplying both sides of the equation by 20:
x = 20 * log(base 1/2) (63/475)
Using a calculator to evaluate log(base 1/2) (63/475) ≈ 4.1802, we find:
x ≈ 20 * 4.1802
x ≈ 83.60
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Hank buys a used car for $8,900 and plans to sell it on his used car lot. What is the price of the car after a markup of 12%? Round to the nearest whole dollar.
Answers
Answer:
$9,968 would be the new price
Answer:
1.068
Step-by-step explanation:
A painter can paint 175 square feet per hour. She charges $0.54 per square foot. Today she paints for 5.5 hours. How much will she charge?
Answers
The amount that the painter will charge is $519.75.
What is the cost?From the information illustrated, the painter can paint 175 square feet per hour and she charges $0.54 per square foot and then paints for 5.5 hours.
The amount that she will charge will be:
= Number of square foot × Amount charged × Number of hours
= 175 × $0.54 × 5.5
= $519.75
The amount is $519.75.
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Evaluate the function f(x) = 4x-6 at the given values of the independent variable and simplify
Answers
In general, to evaluate the function f(x) at a specific value of x, we substitute that value into the expression for f(x) and simplify.
What is function?In mathematics, a function is a relation between two sets, where for every element in the first set (called the domain), there is exactly one element in the second set (called the range) that the function maps to. In simpler terms, a function is a rule that assigns each input value from the domain to exactly one output value in the range. Functions are usually represented by a formula or equation that describes the relationship between the input and output values. For example, the function f(x) = 2x + 1 maps every input value of x to an output value that is twice the input value plus 1.
Here,
To evaluate the function f(x) = 4x - 6, we substitute the given values of the independent variable into the expression for f(x) and simplify.
For example:
f(0) = 4(0) - 6 = -6
f(1) = 4(1) - 6 = -2
f(2) = 4(2) - 6 = 2
f(-1) = 4(-1) - 6 = -10
f(3a) = 4(3a) - 6 = 12a - 6
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I need help on this assignment please
Answers
The value of x is 12.5.
We are given a figure of pairing along with its dimensions. We also know that the area of this pairing is 400 inches sq. We have to find the value of x. As we can see that this figure is a rectangle. Therefore, the dimensions that we can see are its length and breadth. We are given that the length is (2x + 7) inches and the breadth is x inches.
We know that the area of this rectangle is 400 inches sq. Now, we will apply the formula for the area of the rectangle using the given information.
Area of rectangle = length * breadth
400 = ( 2x + 7)(x)
2\(x^{2}\) + 7x - 400 = 0
2\(x^2\) + 32x - 25x - 400 = 0
2x( x + 16) - 25( x + 16) = 0
(x + 16) ( 2x - 25) = 0
Therefore, x = -16 or x = 25/2
As x is a dimension of a rectangle. The breadth of a rectangle cannot be negative. Therefore, we will reject the negative value.
Therefore, the value of x is 12.5
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The exchange rate between Mexican pesos and U.S. dollars is 12. 54 pesos to 1dollar. If Chris travels to Mexico and converts $750 to pesos for spending money,how many pesos will he have? Round your answer to the nearest peso.
Answers
12.54 mexican pesos = 1 dollar
750 dollars x (12.54) = 9405 mexican pesos
which of the following are examples of performance measures that should be considered when designing a queue? (there might be more than one correct answer) a. probability that the waiting time exceeds t minutes (e.g. t can be 10 minutes) b. probability that servers are busy more than t minutes (e.g. t can be 10 minutes) c. average
Answers
All of the following are examples of performance measures that should be considered when designing a queue.
There are several performance measures that should be considered when designing a queue, including:
a. Probability that the waiting time exceeds t minutes (e.g. t can be 10 minutes): This measure can be used to assess the likelihood that customers will have to wait longer than a certain amount of time before being served. A high probability of long waiting times may indicate that the queue is not functioning effectively or that there are not enough servers to handle the demand.
b. Probability that servers are busy more than t minutes (e.g. t can be 10 minutes): This measure can be used to assess the likelihood that servers will be occupied for longer than a certain amount of time. A high probability of busy servers may indicate that the queue is not functioning effectively or that there are not enough servers to handle the demand.
c. Average waiting time: This measure can be used to assess the average amount of time that customers spend waiting in the queue before being served. A high average waiting time may indicate that the queue is not functioning effectively or that there are not enough servers to handle the demand.
Other performance measures that may be considered when designing a queue include the average number of customers in the queue, the average time that servers spend serving customers, and the probability that customers will leave the queue without being served.
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Select the correct answer.
The cost of renting a community center is $100, with an additional cost of $10 per guest.
Which graph has the most appropriate scales and units for this situation?
О А.
B.
Total Rental Cost ($)
tal Cost ($)
500
400
300
200
100
50
40
30
0
10 20 30 40 50
Number of Guests
Answers
The cost of renting a community center for x guest is given as y = 10x + 100
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The standard linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the y intercept.
Let y represent the cost of renting a community center for x guest. Hence:
y = 10x + 100
The cost of renting a community center for x guest is given as y = 10x + 100
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At a football stadium, 10% of the fans in attendance were teenagers. If there were 150 teenagers at the football stadium, what was the total number of people at the stadium?
Answers
Answer:
1500 people.
Step-by-step explanation:
100% of the fans are not known,
So let the total number of fans or 100% of the fans be X
SINCE 10% ••••••••••• 150
100% ••••••••••••X
we're going to Cross multiply
= 10×X = 100 × 150
10X = 15000
dividing bothsides by 10
10X/10 = 15000/10
X = 1500 people.
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