Answers
Since Point A is an element of a direct variation, the other points that are elements of this direct variation include the following:
B. [-2, -8].
E. [2, 8].
What is a direct variation?In Mathematics, a direct variation is also referred to as direct proportion and it can be modeled by using the following mathematical expression or function:
y = kx
Where:
y and x are the variables.k represents the constant of proportionality.In direct proportion, the value of x represent an independent variable while the value of y represents the dependent variable. Therefore, an equation that models the situation is given by:
-4 = -k
k = 4
y = 4x
When x = 8, the equation y = 4x is given by:
y = 4(8) = 32.
When x = -2, the equation y = 4x is given by:
y = 4(-2) = -8 (True).
When x = 4, the equation y = -4x is given by:
y = 4(4) = 16.
When x = 2, the equation y = 4x is given by:
y = 4(2) = -8 (True).
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Related Questions
Determine whether the triangles can be proved similar. If they are similar, write a similarity statement and explain how you know they are similar. If they are not similar, explain why.
Answers
Answer:
Step-by-step explanation:
a. If two angles of one triangle are congruent to two angles of another triangle, then the triangle are similar.
The ORDER matters in the similarity statement. The same measures must go in the same order.
∧ABC ≈ ∧PQR Angle-Angle Similarity Postulate
b. Set up the ratios, then reduce to see if they all reduce to the same fraction.
3/18 ; 4/24 ; 5/30
1/6 ; 1/6 ; 1/6
1/6 = 1/6 = 1/6
The sides are proportional so the triangles are proportional.
∧ ABC ≈ ∧ DEF Side-Side-Side Similarity Postulate
4)
Andrew spent $350,000 on a new couch. The sofa's worth falls exponentially at a pace of 5%
every year. So, how much is the sofa worth after two years? Please round your answer to the nearest decimal
point. (Show work)
Answers
The sofa worth after two years is, $385,875.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
Andrew spent $350,000 on a new couch. The sofa's worth falls exponentially at a pace of 5% every year.
Now, We know that;
The formula for calculating exponentially is,
⇒ f (x) = a (1 + r)ˣ
Where, The f(x) term represents the function.
The a variable stands for the beginning value of your data.
The r variable represents the growth rate.
The x variable is the time interval.
Hence, The sofa worth after two years is,
⇒ f (x) = a (1 + r)ˣ
⇒ f (x) = 350,000 (1 + 0.05)²
⇒ f (x) = 350,000 × 1.05²
⇒ f (x) = $385,875
Thus, The sofa worth after two years = $385,875.
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The coordinates of one endpoint of the line segments are (-3,-5). The line segment is 11 units long. what are the other possible endpoints.
Answers
The possible endpoints are (-3, 6) and (8, -5).
What is the distance between two points of a line?The distance between two points of a line is given as:
Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
We have,
The coordinates of the endpoints are (a, b) = [tex](x_1, y_1)[/tex] and (-3, -5) = [tex](x_2, y_x)[/tex].
The distance between the two endpoints is 11 units.
Now,
Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
11 = [tex]\sqrt{(-3 - a)^2 + (-5 - b)^2}[/tex]
Squaring both sides.
11² = (-3 - a)² + (-5 - b)²
121 = (-3 - a)² + (-5 - b)²
If we take a = -3 and b = 6
121 = (-3 + 3)² + (-5 - 6)²
121 = 0 + (-11)²
121 = 121
or
If we take a = 8 and b = -5
121 = (-3 - 8)² + (-5 + 5)²
121 = (-11)² + 0
121 = 121
Thus,
(-3, 6) and (8, -5) are the possible endpoints.
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The graph of the function f(x)=-(x+1)^2 is shown use the drop down menu to describee the key aspect of the function
Answers
The transformations to the graph of the parent function y = x² to the function f(x) = -(x + 1)² are given as follows:
Reflection over the x-axis.Shift left of 1 unit.What is a translation?A translation happens when either a figure or a function are moved horizontally or vertically.
The four translation rules for functions are given as follows:
Left a units: f(x + a).Right a units: f(x - a).Up a units: f(x) + a.Down a units: f(x) - a.The changes to the parent function y = x² to create f(x) = -(x + 1)² are given as follows:
Reflection over the x-axis. -> multiplication by -1.Shift left of 1 unit. -> x -> x + 1.More can be learned about translations at brainly.com/question/28174785
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15 hot dogs cost $60. What is the rate for one hot dog
Answers
Answer:
4$ for one hotdog
Step-by-step explanation:
60/15 =
4.
One hotdog equal 4$
brainliest?
The rate of one hot dog is $4.
We are given that there are 15 hot dogs which cost $60.We have to calculate the amount of rate for one hot dog.
By the unitary method,
Amount of rate for one hot dog = is $60/15=$4
Hence one hot dog cost $4.
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Determine if the table shows a proportional relationship.
x 18.6 54.3 58.8
y 6.2 18.1 19.6
Yes, it is proportional because all y over x ratios are equivalent to one third.
Yes, it is proportional because all y over x ratios are equivalent to one fourth.
No, it is not proportional because 18.6 over 6.2 does not equal 18.1 over 54.3.
No, it is not proportional because 18.1 over 54.3 does not equal 58.8 over 19.6.
Answers
The table shows the proportional relationship because all y over x ratios are equivalent to one third.
What is Proportional?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
x 18.6 54.3 58.8
y 6.2 18.1 19.6
Now, the rate of change
= 6.2/18.6
= 1/3
again the rate of change
= 18.1/ 54.3
= 1/3
As, the rate of change is constant.
So, the table shows because all y over x ratios are equivalent to one third.
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in a situation where the standard deviation was increased from 3.1 to 5.8, what would be the impact on the confidence interval?
Answers
The main impact of increasing the standard deviation from 3.1 to 5.8 leads to a wider confidence interval, from (9.38, 10.62) to (8.88, 11.12).
This is because the standard deviation is a measure of the spread of the data, and the wider the spread, the wider the confidence interval will be. Mathematically, this can be shown by the following calculation:
The confidence interval is usually given by the formula:
CI = x +/- (z*sigma/sqrt(n)),where x is the mean of the sample, z is the z-score representing the confidence level, sigma is the standard deviation, and n is the sample size.
In this case, let's assume that x = 10, z = 1.96 (95% confidence interval), and n = 10. Then, when the standard deviation is 3.1, the confidence interval is 10 +/- (1.96*3.1/sqrt(10)) = 10 +/- 0.62, or (9.38, 10.62).
However, when the standard deviation is increased to 5.8, the confidence interval becomes 10 +/- (1.96*5.8/sqrt(10)) = 10 +/- 1.12, or (8.88, 11.12).
Therefore, increasing the standard deviation from 3.1 to 5.8 leads to a wider confidence interval, from (9.38, 10.62) to (8.88, 11.12).
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The current student population of Baltimore is 2000. If the population increases at a rate of 16.7% each
year.
What will the student population be in 5 years?
Write an exponential growth model for the future population P(x) where x is in years:
P(x) =
What will the population be in 5 years? (Round to nearest student)
Answers
The population of students in Baltimore will be 4329 in 5 years.
What is an exponential growth?Exponential growth is a function that shows an increase within a population that occurs at the same rate over time.
Given that, the current student population of Baltimore is 2000, the population increases at a rate of 16.7% each year.
We need to find the student population in 5 years
To find the same, we will use, exponential growth model for the future population P(x) where x is in years, is given by,
A = P(1+r)ⁿ
Where,
A = final population
P = initial population
r = rate, n =time
A = 2000(1+0.167)⁵
A = 2000(1.167)⁵
A = 4328.967
A ≈ 4329
Hence, the population of students in Baltimore will be 4329 in 5 years.
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is there any difference in the variability in golf scores for players on the lpga tour (the women's professional golf tour) and players on the pga tour (the men's professional golf tour)? a sample of tournament scores from lpga events showed a standard deviation of strokes, and a sample of tournament scores f
Answers
The difference in the variability in golf scores for players on the LPGA Tour and players on the PGA Tour can be calculated by subtracting the standard deviation for the LPGA Tour from the standard deviation for the PGA Tour.
The variability in golf scores for players on the LPGA Tour and the PGA Tour can be measured using the standard deviation. To calculate the standard deviation, the squared differences between each score and the mean score must be calculated and then averaged. Then, the square root of this average must be taken.
Formula:
Standard Deviation =√((x1–μ)2+(x2–μ)2+...+(xn–μ)2)/n
Where:
x1, x2, ..., xn are the individual observations
μ is the mean
n is the number of observations
In this case, the sample of tournament scores from LPGA events showed a standard deviation of strokes and the sample of tournament scores from the PGA Tour showed a standard deviation of strokes. The difference between the two standard deviations can then be calculated by subtracting the LPGA standard deviation from the PGA standard deviation.
Therefore, the difference in the variability in golf scores for players on the LPGA Tour and players on the PGA Tour can be calculated by subtracting the standard deviation for the LPGA Tour from the standard deviation for the PGA Tour.
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Complete question
Is there any difference in the variability in golf scores for players on the LPGA Tour (the women's professional golf tour) and players on the PGA Tour (the men's professional golf tour)?
A total of 96 dogs and cats were taken to a
veterinarian's office last week. The ratio of dogs to
cats was 3:5.
Answers
Step-by-step explanation:
A total of 96 dogs and cats were taken to a veterinarian's office last week. The ratio of dogs to cats was 3:5.
3x + 5x = 96
8x = 96
8x/8 = 98/8
x = 12
The ratio is 3 to 5 so:
dogs = 12 * 3 = 36
cats = 12 * 5 = 60
Answer: There are 36 dogs and 60 cats.
OBC
OAB
Find the largest side of the triangle. (not
drawn to scale)
104°
in
A
AC
O Not enough information
B
99⁰
C
X
Answers
The largest side of the given triangle is; AB
How to find the largest side of the triangle?Let us first find the missing angles of triangle ABC.
The sum of two opposite interior angles is equal to an exterior angle.
Thus;
∠CBA = 104 - 99
∠CBA = 5°
Sum of angles in a straight line is 180°. Thus;
∠CAB = 180 - 104
∠CAB = 76°
The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
Thus, AB is opposite 99° and as such will be the largest side.
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the candy produced by a company has a sugar level that is normally distributed with a mean of 16.8 grams and a standard deviation of 0.9 grams. the company takes readings of every 10th bar off the production line. the reading points are 17.3, 14.9, 18.3, 16.5, 16.1, 17.4, 19.4. is the process in control or out of control and why? use a control chart to answer the question. homework help: 4vc. calculating probabilities from manufacturing to determine if system is in control (links to an external site.) (4:12) group of answer choices it is in control as only one of these data points is more than 3 standard deviations from the mean it is out of control as the values jump above and below the mean it is out of control as two of these data points are more than 2 standard deviations from the mean it is in control as the data points more than 2 standard deviations from the mean are not among three consecutive data points
Answers
It is not in control because at least two of the of the data points are more than 2 standard deviations from the mean are far apart.
18.3,18.4 > 18.2 Upper Control limit
14.9, > 15.4 Lower Control Limit
Step-by-step explanation:
Find the limits using μ ± 3σ and μ ± 2σ
Using μ ± 3σ
Upper Control Limit = μ + 3σ = 16.8 + 3(0.7)= 16.8 + 2.1= 18.9
Lower Control Limit = μ - 3σ =16.8 - 3(0.7)= 16.8 - 2.1= 14.7
Using μ ± 2σ
Upper Control Limit = μ + 2σ = 16.8 + 2(0.7)= 16.8 + 1.4= 18.2
Lower Control Limit = μ - 2σ =16.8 - 2(0.7)= 16.8 - 1.4= 15.4
The data points are 17.3, 14.9, 18.3, 16.5, 16.1, 17.4, 18.4.
Rearranging these data points 14.9, 16.1, 16.5, 17.3, 17.4, 18.3,18.4.
We see from the above that it is out of control because the values jump above and below the mean.
It is not in control as two of the of the data points are more than 2 standard deviations from the mean are far apart.
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which plot would you use to plot prices of airbnb rentals as function of room type? group of answer choices boxplot scatter plot barplot histogram
Answers
A scatter plot would be the best type of plot to use to show the relationship between the price of Airbnb rentals and the room type.
A scatter plot shows the relationship between two variables by plotting each data point as a dot on the graph. In this case, the room type would be plotted on one axis and the price on the other axis, allowing you to see the distribution of prices for each room type.
By plotting the data in this way, you can see how one variable is related to another, and identify any patterns or trends in the data. This type of plot is particularly useful for exploring the relationship between two continuous variables.
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The correct question for the answer is
which plot would you use to plot prices of airbnb rentals as function of room type?
a) boxplot
b) scatter plot
c) bar plot
d) histogram
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True or false the product of a complex number and its conjugate is a real numberi
Answers
Answer:
It is true that the product of a complex number and its conjugate is a real number.
Step-by-step explanation:
You're welcome.
Answer:
True
Step-by-step explanation:
....this is how you 'rationalize' denominators that have complex numbers in them
OAB is a sector of a circle.
Calculate the radius of the circle to 2 d.p.
B.
131°
cm
192 cm
Not drawn accurately
Answers
The solution is The perimeter of the sector is :30.5 cm
What is perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.
here, we have,
Mathematically, we have the area of the sector as;
e/360 * pi * r^2
r is 8 cm
so we have
58 = e/360 * pi * 8^2
58/64 * 360/pi = e
e = 103.85
To get the perimeter,
we have length of the arc plus 2r
Length of the arc is;
e/360 * 2 * pi * r
add 2 r;
e/360 * 2 * pi * r + 2r
so we have
103.85/360 * 2 * pi * 8 + 2(8)
= 14.5 + 16
= 30.5 cm
Hence, The solution is The perimeter of the sector is :30.5 cm
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A 250 room hotel is 80% full when the nightly rate is $190. Experience has shown that each $10 increase
in the rate results in 5 fewer occupied rooms. Find the nightly rate that will maximize the nightly revenue. Round
to the nearest dollar.
Answers
The nightly rate that will maximize the nightly revenue is $200. The maximum revenue is $39,000.
What is revenue?
Revenue in accounting refers to the total amount of money made from the sale of products and services that are essential to the company's core operations. Sales or turnover are other terms used to describe commercial revenue. Some businesses make money from royalties, interest, or other fees.
The number of rooms in the hotel is 250.
80% of the hotel room occupied.
The number of occupied rooms is 250 × 80% = 200.
The nightly rate is $190.
The total rent is 200 × $190 = $38,000.
If each $10 increase in the rate results in 5 fewer occupied rooms.
The new rent is $190+10 = $200.
The number of occupied rooms is (200 - 5) = 195
The total rent is $200 × 195 = $39,000.
The maximum revenue is $39,000.
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Find a possible formula for the trigonometric function whose values are in the following table.
Answers
Answer:
-3
Step-by-step explanation:
PLEASE HELP ASAP!!!
Let x represent the cost of a jump rope. You have to spend $56 on jump ropes and all of the jump ropes you purchase cost the same price. Given the inequality below, what is the greatest number of jump ropes you could buy with your money?
8 ≤ x ≤ 14
A. 1
B. 7
C. 112
D. 4
Answers
Answer:
Step-by-step explanation:
It is C because you need to think but the answer is C
I NEED HELP ASAP
(see the photo below for the questions)
Answers
Answer:
8
Step-by-step explanatio
I saw it
What quantity of 64% chlorine solution must be mixed with a 29% chlorine solution to produce 5530 mL of 30% solution?
Answers
Answer:
you need 221.2 ml of the 64% and 5308.8ml of the 29%
Step-by-step explanation:
the formula is (% x v)=(% * v)+(% * v)
so
(0.3 * 5530)=(0.64 * x)+(0.29 * (5530-x))
simplify
1,659= 0.64x + 1,603.7 - 0.29x
1,659=0.35x + 1,603.7
subtract 1603.7 from both sides
55.3=0.25x
divide 0.25 from both sides
221.2=x
subtract
5530-221.2
if mary points her boat due north, how far from her intended landing spot will she be when she reaches the opposite shore?
Answers
The answer to this question depends on several factors, including the speed of Mary's boat, the width of the river or body of water she is crossing, and any currents or winds that may affect her trajectory.
What is distance?Distance is defined as the amount or extent of displacement between two points. It is critical to understand that the distance between two sites does not equal the distance traveled between them. The distance traveled is the entire length of the journey traveled between two places. Distance is the length of an object's path, whereas displacement is the distance between where the thing started and where it ended up. Distance is defined as the whole length of an object's true path. The displacement of an object between two locations is the smallest straight line distance between those positions, directed from one to the other.
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order these numbers from least to greatest
5 1/11, 5.576, 5.57, 101/20
Answers
Answer: 101/20, 5 1/11, 5.57, 5.576
Step-by-step explanation: Standardized all:
101/20 = 5.090909
5 1/11 = 5.05
5.57
5.576
when surveyed, which profession was chosen by the general public as highest in integrity and ethics?
Answers
When surveyed, the Nursing profession was chosen by the general public as the highest in integrity and ethics.
In order to help people recover from sickness and preserve their best health and quality of life, nurses focus on caring for patients and their families.
Because of their diverse areas of practice and methods of providing healthcare, nurses set themselves apart from other healthcare professionals. They are essential in promoting health, avoiding illness, and providing care for everyone, including those who are physically or psychologically ill or impaired.
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or Watch a video A line has a slope of – 2 and a y-intercept of – 15. Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
The equation of a line that has a slope of -2 and y-intercept of -15 is y = -2x - 15.
What is the slope-intercept form?In Mathematics, the slope-intercept form of a line can be calculated by using this mathematical expression:
y = mx + c
Where:
x and y represents the data points.m represents the slope of a line.c represents the y-intercept of a line.From the information provided above, we have the following slope and y-intercept on the line:
Y-intercept = -15
Slope, m = -2
Therefore, the required equation of line is given by:
y = mx + c
y = -2x + (-15)
y = -2x - 15
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please help with statistics
Answers
Answer:
C
Step-by-step explanation:
a parameter is a number describing a whole population (e.g., population mean), while a (sample) statistic is a number describing a sample (e.g., sample mean).
so, everything involving all 700,000 people creates parameters.
therefore, C is correct.
a population of 800 beetles is growing each month at a rate of 5%. a) write an equation that expresses the number of beetles at time x.
Answers
The number of beetles at time [tex]x[/tex] can be expressed using the equation [tex]B = 800 (1.05)^{x}[/tex]
In mathematics, an equation is a statement that two numbers or values are equal, as in 6 x 4 = 12 x 2. When two or more components of a situation must be taken into account in order to comprehend or describe the entire situation, this is known as an equation. By definition, your example is an equation since an equation is any expression that contains the equals sign. The employment of equal signs by mathematicians makes equations a common occurrence in mathematical work. A set of guidelines for producing a specific outcome is known as a formula. A mathematical expression, such as 6x4=12x2, that states that two amounts or values are equal is known as an equation. In an equation, two or more components must be taken into account simultaneously.
[tex]x =[/tex] number of months that have passed.
[tex]N=800x^{0.05t}[/tex]
[tex]1.05 = 1 + .05[/tex], where [tex].05[/tex] is the monthly growth rate
An equation is [tex]B = 800 (1.05)^{x}[/tex].
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Will Mark Brainlist!
Solve for x on the diagram below
Answers
Answer: The value of x from the diagram is 50 degrees.
Vertical angles are angles that meets at a point of intersection. From the given diagram 150 and 50+2x are vertical angles showing that they are equal to each other so:
50 + 2x = 150
2x = 150 - 50
2x = 100
Divide both sides by 2
2x/2 = 100/2
x = 50
Therefore the value of x from the diagram is 50 degrees.
Answer:
x = 50
Step-by-step explanation:
150 = 50 + 2x
100 = 2x
x = 50
In a greengrocer, the cost of 6 apples and 7 apricots is £3, while the cost of 9 apples and eight apricots is £3.75.
Work out the cost of, in pence, of:
a) an apple.
b) an apricot.
Answers
a) The cost of an apple 50p.
b) The cost of an apricot is 43p
What is cost and how to find cost ?The cost of something depends on a variety of factors, including the quality of the product, the quantity desired, the availability of the item, the location of the purchase, and the method of payment. For example, a computer may cost more if purchased at a retail store than it would cost if purchased online. Additionally, the cost of a product can vary depending on the brand, features, and other factors. For example, a laptop may be more expensive if it has a faster processor than one with a slower processor. In general, the cost of a product or service will also depend on the demand for it, as well as the amount of competition in the marketplace. Ultimately, the cost of something is determined by the value the customer places on it.
Cost of 6 apples = £3
Cost of 1 apple = £3/6 = 50p
b) The cost of an apricot is calculated as follows:
Cost of 7 apricots = £3
Cost of 1 apricot = £3/7 = 43p
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a predefined formula that performs calculations by using specific values in a particular order or structure called?
Answers
A predetermined formula known as "Functions" that performs computations using specified values inside a particular arrangement or structure.
Explain the term Functions?A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.
This means that a function f will map an object x to exactly single object f(x) in the set of potential outputs if the object x is included in the set of inputs (referred to as the domain) (called the codomain).Many popular functions are designated by multi-letter names, even though functions are frequently identified by one-letter names for brevity, as f.Thus, a predetermined formula known as "Functions" that performs computations using specified values inside a particular arrangement or structure.
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if i flip a coin and i get heads every single time, how many times do i have to flip the coin until i am 95% confident the coin is unfair?
Answers
I have to flip the coin 16 times to say that I am 95% confident the coin is unfair.
This question can be answered using the binomial distribution. If we assume the coin is fair, then each flip of the coin has a 50% chance of coming up heads. We can use the binomial distribution to calculate the probability of getting heads at least 95% of the time.
For this calculation, we need to know the number of trials, n. We can use the formula: n = (1.96^2)/(p(1-p)) to calculate n for a 95% confidence level. In this case, p = 0.5, so n = 15.84. Since this is not a whole number, we can round up to 16 flips.
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