Answer:
b: 118
c: 62
Step-by-step explanation:
Angle B is a vertical angle from the given angle, so they are congruent.
Angle C is supplementary (2 angles that add up to 180 degrees) from the given angle, so we can subtract 118 from 180 to give us 62, which is angle c.
Hope this helps! :)
Answer: b=118 c=62
Step-by-step explanation: All angles add up to 360 degrees. We know one angle equals 118. We can also tell that angle b is identical to angle 118 because they are complementary angles. Now we add 118+118 which equals 236. Subtract 360 from 236. That gives us 124. Divide 124 by two since their are two angles. That gives us 62. c=62 and b=118
help pls ;;-;; ye thxs
Answer:
You still need help? :P
Step-by-step explanation:
Can you solve the equation?
Answer:
x=3 and 9
Step-by-step explanation:
; x-3=0
x=3 (change side change mark)
and
\( \frac{2}{3} x - 6 = 0\)
\( \frac{2}{3} x = 6\)
\(x = 6 \times \frac{3}{2} \)
change side change mark.
So, x=9
If u wanna check the answer you can check by substitution x=3 and 9 in equation.
hope it helps you ☺️
TRUE / FALSE. when the block is in equilibrium, each spring is stretched an additional ∆x. then the block is set into oscillation with amplitude a; when it passes through its equilibrium point it has a speed v.
The statement is true.
When the block is in equilibrium, each spring is stretched an additional ∆x. This implies that the forces from the two springs are balanced, and the block is not experiencing any net force in the equilibrium position.
When the block is set into oscillation with amplitude a, it will pass through its equilibrium point during the oscillation. At the equilibrium point, the displacement of the block is zero, and it changes direction. At this point, the block has its maximum speed v, as it is accelerating towards the equilibrium position.
The speed of the block decreases as it moves away from the equilibrium position, reaches zero at the maximum displacement (amplitude), and then starts accelerating towards the equilibrium point again. Therefore, when the block passes through its equilibrium point, it has its maximum speed v.
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1.) Write a word problem that can be described by the division expression 3 divided by 1/4.
2.) Solve your word problem using a model. Use complete sentences to describe your model, and interpret the quotient in the context of your word problem. If you wish, you may upload a copy of your model.
3.) Use multiplication to check your answer in question #2. Show or explain all of your work.
The word problem can be:
"let's say that you have $3, and there is an item that costs $(1/4), how many of these items can you buy?"
And the solution is N = 12.
How to write the word problem?We want a problem that can be described by 3 divided by 1/4.
So, let's say that you have $3, and there is an item that costs $(1/4), how many of these items can you buy?
The solution to that question is given by:
\(N = \frac{3}{1/4}\)
2) To solve this, we can use a really simple model.
In one unit, we have 4 fourts.
Then in 3 units, we have 3*4 = 12 fourts.
Then the answer is 12.
3) How to use multiplication?
Remember that dividing by a fraction is equivalent to multiplying by the inverse of said fraction, then:
\(N = \frac{3}{1/4} = 3*(4/1) = 12\)
We got the same thing as above.
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There are 20 candidates for a job position, of whom 14 are women and 6 are men. The hiring committee will randomly select 3 candidates and interview them one by one. Assume that a candidate may be interviewed only once.
(a) What is the probability that the second interview will be given to a woman, given that the first interview was given to another woman?
The probability that the second interview will be given to a woman, given that the first interview was given to another woman, is 13/19.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given, There are 20 candidates for a job position, of whom 14 are women and 6 are men.
To solve the problem, we can use the conditional probability formula:
P(A | B) = P(A and B) / P(B)
where P(A | B) is the probability of event A given that event B has occurred, P(A and B) is the probability of both events A and B occurring, and P(B) is the probability of event B occurring.
Let's first calculate the probability of the first interview being given to a woman:
P(W1) = 14/20 = 0.7
where W1 represents the event that the first interview is given to a woman.
Since a candidate can only be interviewed once, there are now 19 candidates left, of whom 13 are women and 6 are men.
Thus, the probability of the second interview being given to a woman, given that the first interview was given to another woman, can be calculated as:
P(W2 | W1) = P(W1 and W2) / P(W1)
where W2 represents the event that the second interview is given to a woman.
To calculate the joint probability P(W1 and W2),
we need to consider that after the first interview, there are 13 women left out of 19 candidates,
so the probability of the second interview being given to a woman is:
P(W2) = 13/19
Now, we need to calculate the probability that both events occur.
Since the interviews are given one by one, the probability of the first and second interviews being given to women is:
P(W1 and W2) = P(W1) * P(W2 | W1)
= (14/20) * (13/19)
= 91/190
Therefore, the probability that the second interview will be given to a woman, given that the first interview was given to another woman, is:
P(W2 | W1) = P(W1 and W2) / P(W1)
= (91/190) / (14/20)
= 13/19
So, the probability that the second interview will be given to a woman, given that the first interview was given to another woman, is 13/19.
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4x+4y=4
3x+4y=10
Solve for elimination
Answer:
The solution is x=-6 and y=7
Step-by-step explanation:
Given equations are:
\(4x+4y =4\\3x+4y = 10\)
In elimination method, the co-efficient of one of the variables are equated so that one variable can be eliminated by adding or subtracting the equations
In the given system of equations, the co-efficient of y is already same i.e. 4 so we only have to subtract the equations
Subtracting equation 2 from equation 1
\(4x+4y-(3x+4y) = 4-10\\4x+4y-3x-4y = -6\\4x-3x = -6\\x = -6\)
Putting x = -6 in equation 1
\(4(-6)+4y = 4\\-24+4y = 4\\4y = 4+24\\4y = 28\\\frac{4y}{4} = \frac{28}{4}\\y = 7\)
Hence
The solution is x=-6 and y=7
What is the equation of the line that passes through the point (-1,-5) and has a
slope of -1?
Answer:
y = -x -7
Step-by-step explanation:
-5 = -1(-1) + b
-7 = b
y = -x -7
Answer:
y=−x−6
Step-by-step explanation:
The y-intercept is b=y1 −m⋅x1
b=−5−(−1)x(−1)=−6.
so y=mx+b.
y=−x−6.
Answer:
The slope of the line is m=−1.
The equation of the line in the slope-intercept form is y=−x−6.
let x be a uniform random variable on (0, 1), and consider a counting process where events occur at times x i, for i = 0, 1, 2, . . . . Does this counting process have independent increments?
The probability of an event occurring at x_2 is still independent of the occurrence at x_1. Therefore, the counting process has independent increments.
To determine if the counting process has independent increments, we need to examine if the occurrence of an event at one time affects the probability of an event occurring at a later time.
In this case, since x is a uniform random variable on (0,1), the probability of an event occurring at any given time x_i is independent of all other times x_j, where j ≠ i. Therefore, the occurrence of an event at one time does not affect the probability of an event occurring at a later time, and thus the counting process has independent increments.
To clarify, let's consider an example. Suppose an event occurs at time x_1 = 0.3. This event does not affect the probability of an event occurring at a later time, say x_2 = 0.6.
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I need help with this graph homework
1. Select a next law from the right to apply
(s→¬¬n)∧((n∨F)→s)
(¬s∨¬¬n)∧((n∨F)→s)
(¬s∨n)∧((n∨F)→s)
(¬s∨n)∧(¬(n∨F)∨s)
(¬s∨n)∧((¬n∧¬F)∨s)
To apply the next law from the right in the given formula, we first identify the next logical law from the right that can be applied, which is the double negation elimination rule.
We apply this rule to the first term in the formula, (s→¬¬n), which gives us (s→n).
The next law from the right to apply would be the law of double negation again, which simplifies the first term even further by giving us (¬s∨n) instead of (¬s∨¬¬n).
We then apply the implication law to convert the implication in the formula to a disjunction, giving us (¬s∨n)∧(¬(n∨F)∨s).
Finally, we apply De Morgan's law to distribute the negation in the formula, giving us the final answer of (¬s∨n)∧((¬n∧¬F)∨s).
Step-by-step explanation:
Identify the next logical law from the right that can be applied to the given formula. In this case, it is the double negation elimination rule.
Apply the double negation elimination rule to the given formula: (s→¬¬n)∧((n∨F)→s) becomes (s→n)∧((n∨F)→s)
Continue applying relevant logical laws from the right: (s→n)∧((n∨F)→s) becomes (¬s∨n)∧((n∨F)→s)
Apply the implication law to convert the implication in the formula to a disjunction: (¬s∨n)∧((n∨F)→s) becomes (¬s∨n)∧(¬(n∨F)∨s)
Apply De Morgan's law to distribute the negation in the formula: (¬s∨n)∧(¬(n∨F)∨s) becomes (¬s∨n)∧((¬n∧¬F)∨s)
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Find set of parametric equation and symmetric equation of the line through the point and parallel to the given vector(if possible):
(-3, 0, 2), v = 6j + 3k.
x + 3 / 0 = y / 6 = z - 2 / 3 is the required set of parametric equation and symmetric equation of line.
Given the point (-3, 0, 2) and the vector v = 6j + 3k, we need to find the set of parametric equation and symmetric equation of the line through the point and parallel to the given vector.
Let the line be L and a point on the line be P(x, y, z).
Then, the vector from (-3, 0, 2) to P is given by
r = OP = i(x + 3) + jy + k(z - 2)
Since L is parallel to the vector v = 6j + 3k, the direction ratios of L are proportional to the components of v. Thus, the direction ratios of L are 0, 6, and 3.
Therefore, the parametric equations of L are:
x + 3 = 0 ⇒ x = -3y = tz - 2 = 3t + 2
where t is a parameter, and the symmetric equations are x + 3 / 0 = y / 6 = z - 2 / 3. This is the required answer.
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How do you solve an equation like this?
Answer:
Step-by-step explanation:
\(\displaystyle\\(64x^\frac{2}{3})^{-\frac{1}{3}} =\\\\(4^3x^\frac{2}{3})^{-\frac{1}{3}}=\\\\ 4^{3*(-\frac{1}{3})}x^ {\frac{2}{3}*(-\frac{1}{3} )}=\\\\ 4^{-1}x^{-\frac{2}{9} }=\\\\\frac{1}{4} x^{-\frac{2}{9} }=\\\\\frac{1}{4} (\frac{1}{x^\frac{2}{9}} } )=\\\\\frac{1}{4\sqrt[9]{x^2} }\)
write in simplest form
8 5/12 + 11 1/4
Answer:
19 2/3
Step-by-step explanation:
8+11=19, & 5/12+1/4=8/12
In a class of 30 students, 13 of them are boys.
What percentage of the class are girls?
Give your answer to 1 decimal place.
56%
subtract 13 from 30, and you get 17. Then you need to divide 17 and 30
Answer: 56.7%
Step-by-step explanation:
Girls = 30 -13 =17
Girls = 17/30 × 100/1
Girls = 0.567× 100
Girls = 56.7%
The hexagon is made from a rectangle and two identical triangles.
13 cm
5 cm
12 cm
Work out the area of the hexagon.
8/15 divided by 2/5?
By answering the given question, we may state that Therefore, equation
8/15 ÷ 2/5 = 4/3.
What is equation?Using the equals symbol (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of two mathematical expressions by a mathematical assertion. The equal sign, for example, provides a gap between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical formula to understand the connection between the two phrases that are written on opposite sides of a letter. Most of the time, the logo and the particular software match. e.g., 2x - 4 = 2 is an example.
divide two fractions, we multiply the first fraction by the reciprocal of the second fraction.
8/15 ÷ 2/5
is the same as
8/15 x 5/2
Now we can simplify by canceling common factors:
= 2*(2/3)
= 4/3
Therefore,
8/15 ÷ 2/5 = 4/3.
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Which is an equation in point-slope form for the given point and slope? point: (–3, 7); slope: 4
The equation of line that passes a point (–3, 7) and has slope of 4, in the point-slope form is y - 7 = 4 (x + 3)
A linear equation can be expressed in three forms:
- slope intercept form : y = mx + c
- point-slope form: y - y₁ = m (x - x₁)
- standard form: Ax + By + C = 0
Where:
m = slope
(x₁, y₁) = point on the line
A, B, C are constant
In this problem, the point is (–3, 7) and the slope is 4. Hence,
x₁ = –3
y₁ = 7
m = 4
Plug these parameters into the equation:
y - y₁ = m (x - x₁)
y - 7 = 4 (x - (-3))
y - 7 = 4 (x + 3)
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Determine the equation for the given line in slope-intercept form. y = –three-fifthsx – 1 y = three-fifthsx 1 y = three-fifthsx 1 y = –three-fifthsx – 1
The equation for the given line in slope-intercept form is y = 3/5x - 1
Equation of a lineThe equation of a line in slope-intercept form is given as y =mx +b
where:
m is the slope
b is the y-intercept
From the graph shown, the y-intercept of the line is (0, -1)
Determine the slope passing through (0, -1) and (-5, 2)
Slope = 2-(-1)/5-0
Slope = 3/5
Determine the required equation
y = 3/5x + (-1)
y = 3/5x - 1
Hence the equation for the given line in slope-intercept form is y = 3/5x - 1
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A rectangle garden has one side that is 6 feet longer than the other. A lawn care company installs synthetic grass that costs $8 per square foot in the entire.
If x represents the length, in feet, of the shorter side of the garden, and y represents the total cost, in dollars, to install the synthetic grass, which equation correctly shows the relationship between x and y?
Answer:
Step-by-step explanation:
The area of the rectangle garden can be expressed as:
Area = Length × Width
Since one side is 6 feet longer than the other, we can express the length as:
Length = Width + 6
Substituting this expression for length into the area formula, we get:
Area = (Width + 6) × Width
Simplifying this expression, we get:
Area = Width² + 6Width
The cost to install synthetic grass is given as $8 per square foot, so the total cost y can be expressed as:
y = 8(Area)
Substituting the expression for area that we found earlier, we get:
y = 8(Width² + 6Width)
Simplifying this expression, we get:
y = 8Width² + 48Width
Therefore, the equation that correctly shows the relationship between x (the length of the shorter side of the garden) and y (the total cost to install synthetic grass) is:
y = 8x² + 48x
Find 3 ratios that are equivalent to the given ratio.
2/7
Answer:
I've got lots of ratios for you.
4/14
6/21
8/28
10/35
12/42
14/49
16/56
18/63
To calculate a ratio, next time do this...
If you are comparing one (A) to another (B), your formula would be A/B.
This means you are dividing information A by information B.
For example, if A is 5 and B is 10, your ratio will be 5/10.
Simple as that.
YW!!
Answer:
1) 3:4. 2) 30:40. 3) 45:80
Step-by-step explanation:
15:20 CAN SIMPLIFEY BY 5 SO. 15/5 =3 20/5=4 SO OVERALL ITS 3:4
A hypothesis test is to be performed for a population mean. Which of the following does the probability of a type II error not depend on?
options:
The significance level
The sample mean
The sample size
The true (population) mean
When a thesis test is being performed for a population mean, the probability of a type II error isn't dependent on the sample mean. Option B is the right answer.
A type II error occurs when a null thesis isn't rejected despite it being incorrect. It's worth noting that the threat of making a type II error is affected by several factors, including the sample size, the true population mean, the position of significance, and the variability of the data.
As a result, the larger the sample size, the lower the threat of making a type IIerror.The true population mean also has an impact on the liability of a type II error. As the difference between the true mean and the hypothecated mean grows, the threat of a type II error decreases.
The position of significance is also pivotal in determining the threat of a type II error. As the significance position increases, the threat of a type II error decreases.
So, the correct answer is B
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Due asap
Show workings please
Answer:
x= 11.4° (1 d.p.)
Step-by-step explanation:
Please see the attached picture for the full solution.
There is a line through the origin that divides the region bounded by the parabola y=5x−3x^2 and the x-axis into two regions with equal area. What is the slope of that line?
The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.
To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.
Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.
To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.
Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.
Therefore, the slope of the line that divides the region into two equal areas is 5.
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pls help ME IWEHFBIHEAGBwr
Answer:
D
Step-by-step explanation:
If Shrek were I and I was II then Shrek would have 9. Shrek has 5 organs and 32 gas chambers in his internal organ body. Shrek has Clay and can't find his farts that is why C = 5/9 (F - 32). Shrek get's hot on the loo and so do I say I and II get hot to exactly 5/9ths accordingly to Charles de le loi XXIOeme laws of conservation which is organ/gaschamber = tempreture. THEREFOR IT IS I AND II SO D.
Answer: B II
Step-by-step explanation:
Using the process of eleminaiton you could find that II is the only correct answer. One is clearly wrong because if you multiplied conjuctatiton with the denomater and also considered the difference of the conchoid and the fedt vairable, because this is a propotionally expnentially equivelent equation. To find the second ytou could use simeple algerbera or to finsh more quickly you could use the radionkilder therom, by transfering the numbers to radicals and assuming the kuilifers. FInally it can be assumed that the 3rd is correct because you could consider the inconsisties in the data and in ionic. You could decide that the 1 becomes the variable of the 32 divided by the probelm times the variabler of C. Prooving that D) is correct.
suppose that an electronics store runs a promotion. at the cash register, each separate item is independently given an instant discount. the discount amounts and chances are: discount 25% off 10% off none probability 0.05 0.35 0.60 this means two items might get the same discount or they could get different discounts. i will purchase a camera priced at $200 and a video game priced at $80. let x be the total amount saved in dollars at the cash register. what is the chance you save a total of $20? this is the possibility for x which is most difficult to find since it can happen in a couple ways: the camera gets 10% discount while the game gets no discount. the game gets a 25% discount while the camera gets no discount. find p( x
Let $C$ be the event that the camera gets a 10% discount, $G$ be the event that the game gets a 25% discount, and $N$ be the event that neither item gets a discount. Then the probability of each event is:
\begin{align*}
P(C) &= 0.35\cdot 0.1 = 0.035 \\
P(G) &= 0.05\cdot 0.25 = 0.0125 \\
P(N) &= 0.6\cdot 1 = 0.6
\end{align*}
The amount saved on the camera is $0.1\cdot 200=20$, and the amount saved on the game is $0.25\cdot 80=20$. So, we want to find the probability that either event $C$ or $G$ occurs. Since the events are mutually exclusive, we can use the addition rule:
$$
P(C\text{ or }G) = P(C) + P(G) = 0.035 + 0.0125 = 0.0475
$$
The amount saved in dollars at the cash register is $X = 20 + 20 = 40$. To find the probability that the total amount saved is $20$, we need to sum the probabilities of all the ways to get $X=20$. There are two ways to do this: either the camera gets a 10% discount while the game gets no discount, or the game gets a 25% discount while the camera gets no discount. Using the multiplication rule and the probabilities above, we have:
\begin{align*}
P(\text{camera gets 10% discount, game gets no discount}) &= P(C)\cdot P(N) = 0.035\cdot 0.6 = 0.021 \\
P(\text{game gets 25% discount, camera gets no discount}) &= P(G)\cdot P(N) = 0.0125\cdot 0.6 = 0.0075
\end{align*}
Therefore, the probability that the total amount saved is $20$ is:
$$
P(X=20) = P(\text{camera gets 10% discount, game gets no discount}) + P(\text{game gets 25% discount, camera gets no discount}) = 0.021 + 0.0075 = 0.0285
$$
So the chance you save a total of $20$ is $\boxed{0.0285}$.
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select the correct answer. which expression is equivalent to this polynomial? x2 + 12
Answer:
a! aka: x^2+12
Step-by-step explanation:
I got it right! :3
The late fee for overdue books at a library is $0.25 per day per book, with a maximum late fee of $5.00 per book. Which graph models the total late fee for 3 books that were checked out on the same day and are overdue? Fees for Overdue Books Fees for Overdue Books A Late Fee ($) С Late Fee ($) 0 1 O 2 3 4 5 6 7 8 9 10 Days Overdue $ 799 10 Days Overdue Fees for Overdue Books Fees for Overdue Books 5 Late Fee ($) D Late Fee ($) 01 524 529 Days Overdue Days Overdue
Answer:
it would be D, right? A, says that everyday they have to pay $0.25 for all 3 books. C, is saying that for 3 books it costs $1 everyday. B, says that everyday they have to pay $0.50 for 3 books. But D, is saying that you have to pay $0.75 everyday for 3 books. $0.25 * 3 = $0.75. That is why I think it’s D.
Step-by-step explanation:
In the standard (x,y) coordinate plane, a line intersects
the y-axis at (0,2) and contains the point (8,3). What is
the slope of the line?
Answer:
\(\sf Slope =\dfrac{1}{8}\)
Step-by-step explanation:
(0,2) ; (8 ,3)
Slope:
\(\sf \boxed{Slope = \dfrac{y_2-y_1}{x_2-x_1}}\)
\(\sf = \dfrac{3-2}{8-0}\\\\=\dfrac{1}{8}\)
edimentation tanks are often used as the first step in wastewater treatments. To make sure the entire water treatment process runs smoothly, we need to make sure that each step runs efficiently. In this wastewater plant, the sedimentation tank has a volume capacity of 17,000 m3. If a detention time of 3.4 hours is required, what should you have the flow rate set to in ML/day?
The correct answer is - the flow rate should be set to 14,444 ML/day to ensure a detention time of 3.4 hours is maintained.
Solution- 14,444 ML/day
Firstly, convert the tank capacity to litres since the flow rate will be in ML/day.17,000 m³ = 17,000,000 litres
The formula for calculating the flow rate is: Flow rate = Tank volume / Detention time
Flow rate = 17,000,000 litres / (3.4 hours x 24 hours)
Flow rate = 17,000,000 litres / 81.6 hours
Flow rate = 208,333.33 litres/hour
Now that we have calculated the flow rate in litres per hour, we can convert it to mega litres per day (ML/day) by multiplying by 24 and dividing by 1,000,000.
Flow rate = 208,333.33 litres/hour x 24 / 1,000,000 = 5 ML/day
Therefore, the flow rate should be set to 14,444 ML/day to ensure a detention time of 3.4 hours is maintained.
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why can't you calculate this probability safely? A factory employs 3000 unionized workers, of whom 30% are Hispanic. The 15 member union executive committee contains 3 Hispanics. What would be the probability of 3 or fewer Hispanics if the executive committee were chosen at random from all the workers?
We are not truly independent because we are sampling more than 10% of the population.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Here,
3/15 = .2,
meaning that we are sampling more than 10% of the population hence violating independence.
Because we are sampling over 10% of the population, we are not acting independently.
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