Investment B is an ordinary subvention with$ 3,906.64 in the account after one time. The correct answer is option d.
To determine which investment is an ordinary subvention and the unborn value after one time, we first need to understand that an ordinary subvention is a series of equal payments made at the end of each period.
Given the table, we can see that Investment A has payments starting in January and ends in November( missing December), while Investment B starts in February and ends in December.
thus, Investment B is the ordinary subvention since the payments are made at the end of each month. Now let's calculate the unborn value of Investment B after one time
1. Convert the periodic interest rate to a yearly rate( 10.035)(1/12)- 1 ≈0.002867
2. Determine the number of payments made 11 months 3. Use the unborn value of subvention formula FV = P *(( 1 r) n- 1)/ r
Where P = yearly payment($ 350),
r = yearly interest rate(0.002867), and n = number of payments( 11) . Plug in the values
FV = 350 *(( 10.002867) 11- 1)/0.002867 ≈3906.64
So, Investment B is an ordinary subvention with$ 3,906.64 in the account after one time. The correct answer is optiond.
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Kevin has money in two savings accounts. One rate is 11% and the other is 14%. If he has $450 more in the 14% and the total interest is $255, how much is invested in each savings account?
$6,500 is invested in 11% account.
$6,950 is invested in 14% account.
How much is invested in each account?Let us use x to represent amount invested in the 11% account
Let us use y be represent amount invested in the 14% account.
We can set up system of two equations:
[tex]x + y =[/tex] Total amount invested
0.11x + 0.14y + 450 = Interest earned
Substituting y (Invested - x) into 2nd equation, we get:
0.11x + 0.14(Amount invested - x) + 450 = 255
We solve for x
0.03x + 450 = 255
0.03x = 195
x = 195 / 0.03
x = $6500
As $6,500 is invested in the 11% account. The amount invested in 14% interest account is:
= $6,500 + $450
= $6,950.
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Which of the following is not a way to represent the solution of the inequality 8x − (5x + 4) greater than or equal to −31? (1 point) x greater than or equal to −9 −9 less than or equal to x A number line with a closed circle on −9 and shading to the left A number line with a closed circle on −9 and shading to the right
A number line with a closed circle on -9 and shading to the left. This is the option that does not represent the solution of the inequality correctly.
1. Simplify the inequality: 8x - (5x + 4) ≥ -31
2. Distribute the negative sign: 8x - 5x - 4 ≥ -31
3. Combine like terms: 3x - 4 ≥ -31
4. Add 4 to both sides: 3x ≥ -27
5. Divide by 3: x ≥ -9
Now, let's examine the given options:
a) x greater than or equal to −9: This is a correct representation of the solution.
b) −9 less than or equal to x: This is also a correct representation of the solution, just written differently.
c) A number line with a closed circle on −9 and shading to the left: This is incorrect, as it shows x ≤ -9.
d) A number line with a closed circle on −9 and shading to the right: This is a correct representation of the solution, as it shows x ≥ -9.
Therefore, the answer is A number line with a closed circle on -9 and shading to the left. This is the option that does not represent the solution of the inequality correctly.
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Bro needed money to buy lawn equipment he borrowed $500 for 7 months and paid $53.96 in interest what was the annual interest rate
The interest rate required to pay a simple interest of $53.96
from a principal of $500.00 is 18.50%.
How to calculate the rate of interest per year?Simple interest is expressed as:
[tex]\sf I = \dfrac{P\times r \times t}{100}[/tex]
Where I is interest, P is principal, r is interest rate and t is time.
Given that:
Principal P = $500Interest I = $53.96Elapsed time t = 7 months = 7/12 = 7/12 yearInterest rate r = ?Plug the given values into the above formula and solve for interest rate.
[tex]\sf I = \dfrac{P\times r \times t}{100}[/tex]
[tex]\sf r = \dfrac{I}{P\times t}[/tex]
[tex]\sf r = \dfrac{\$53.96}{( \$500 \times \frac{7}{12} )}[/tex]
[tex]\sf r = 0.18501[/tex]
[tex]\sf r = 0.18501\times100\%[/tex]
[tex]\sf r = 18.50\%[/tex]
Therefore, the interest rate is 18.50%.
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What is the tax owed by a married couple filing jointly who report a taxable income of $97,0257
To calculate the tax owed by a married couple filing jointly who report a taxable income of $97,025, we can use the 2021 tax brackets and rates provided by the IRS.
The first $19,900 of their income is taxed at a rate of 10%, which equals $1,990.
The next $60,050 of their income is taxed at a rate of 12%, which equals $7,206.
The remaining $17,075 of their income is taxed at a rate of 22%, which equals $3,756.50.
Adding these amounts together gives a total tax liability of $12,952.50.
Therefore, the tax owed by a married couple filing jointly who report a taxable income of $97,025 is $12,952.50.
Answer: 15,734
Step-by-step explanation:
If you look at the table itself it has the answer however it says at least 97,000 but less than 97,050 and it says and you are-- right under married filing jointly is 15,734
(Will give brainlist)
Find the indicated measure for circle P.
(26) The length FE in the intersecting chords is 6.
(27) The length of arc AE = 64⁰.
We know that,
The length FE is computed using the intersecting chord theorem, as shown below;
The power of a point theorem, commonly known as the intersecting chord theorem, says that:
If two chords of a circle cross inside the circle, the product of the lengths of one chord's segments equals the product of the lengths of the other chord's segments.
FE ≅ AB = 6
The length of the arc AE is computed as follows:
⇒ arc of AE + arc of AB + arc of ED = 180
Since sum of angles of a semi circle
⇒ arc of AE + 58 + 58 = 180
⇒ arc of AE + 116 = 180
⇒ arc of AE = 64
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I don’t understand this question
If f(x)=3x²-2x+5 and g(x) = x³+4x²-1 then the function obtained by multiplying two functions is 3x⁵+10x⁴-3x³+17x²+2x-5
The two functions are f(x)=3x²-2x+5 and g(x) = x³+4x²-1
We have to find (f×g)(x)
(f×g)(x)= f(x)g(x)
=(3x²-2x+5)( x³+4x²-1)
=3x⁵+12x⁴-3x²-2x⁴-8x³+2x+5x³+20x²-5
Combine the like terms
=3x⁵+10x⁴-3x³+17x²+2x-5
Hence, the function obtained by (f×g)(x) is 3x⁵+10x⁴-3x³+17x²+2x-5
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please help me with my geometry i cant fail this class or i’ll have to move out of my parents house :(
Answer:
lj= 18 feet
mgm=52°
Step-by-step explanation:
lj=GJ/2=36/2=18feet
mGM=mHJ=52°
MN is tangent to OK. What is mZK?
N
M
43°
m2K =
K
The size of angle K (m∠K) as shown in the circle is 50°.
What is a tangent to a circle?Tangent to a circle is the line that touches the circle at only one point.
To calculate the size of angle K (m∠K), we use the formula below
Formula:
m∠K+m∠N+m∠M = 180 ( Sum of the angle of a triangle)....................... Equation 1From the diagram,
Given:
m∠N = 40°m∠M = 90° (The angle formed a tangent and the radius of a circle is 90°)Substitute these values into equation 1
m∠K+40+90 = 180m∠K+130 = 180m∠K = 180-130m∠K = 50°Learn more about tangent to a circle here: https://brainly.com/question/30385886
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As seen in the diagram below, Santiago is building a walkway with a width of � x feet to go around a swimming pool that measures 20 feet by 9 feet. If the total area of the pool and the walkway will be 672 square feet, how wide should the walkway be?
Answer: 6ft
Step-by-step explanation:
180+40x+18x+4x^2=672
4x^2+58x+180x=672
4x^2+58x-492=0
2x^2+29x-246=0
(x=6)(2x+41)=0
x=6 or x=-20.5
Should be 6ft
Describe the transformation
Parent function: f(x) = x^4
Transformed function: g(x) = 5 - x^4
Answer: Reflection on the x-axis and moved 5 units upwards.
Step-by-step explanation:
First, we will transform the transformed function into an equation form we may be more familiar with.
g(x) = 5 - x⁴ ➜ g(x) = -x⁴ + 5
We see that this function is reflected on the x-axis (as given by the "-") and is moved 5 units upwards (as given by the "+ 5").
We can also graph this, see attached.
Which lists the possible types of roots for
f
(
x
)
=
3
x
4
+
7
x
3
+
2
x
2
+
x
+
9
?
Answer:
Please provide more details!
To determine the specific type of roots for the given quartic equation, we need to solve it or analyze its discriminant. However, without further calculations, we cannot determine the exact types of roots for f(x) = 3x^4 + 7x^3 + 2x^2 + x + 9.
Answer: ±1, ±3, ±9, ±[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
f(x)=3x⁴+7x³+2x²+9
To find all possible roots, you take the last number and all its factors and put it over the first number and all its factors.
Factors of last and first:
9: 1, 3, 9
3: 1, 3
Put all of the factors of 9 divided by all factors of 3 and also make them + and - versions. Also eliminate any repeats like ± [tex]\frac{1}{1}[/tex] and ± [tex]\frac{3}{3}[/tex]
±1, ±3, ±9, ±[tex]\frac{1}{3}[/tex]
Choose the correct range of the function.
x: -2, -1, 0, 1, 2, 3
y: -11, -4, 1, 4, 5, 4
a. all real numbers
b. all numbers greater than or equal to -11
c. all numbers less than or equal to 5
d. all numbers less than or equal to 0
The range of the function is the set of all real numbers
Calculating the correct range of the function.From the question, we have the following parameters that can be used in our computation:
x: -2, -1, 0, 1, 2, 3
y: -11, -4, 1, 4, 5, 4
The range of a function is the set of y values of the function
using the above as a guide, we have the following:
Range = -11, -4, 1, 4, 5, 4
This can be expressed as
Range = -11 to 4
So, we can say that the range is the set of all real numbers
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Which terms can be used to classify the
triangle by angle measures and side
lengths?
The terms that can be used to classify the triangle by angle measures and side lengths include the following: D. acute and isosceles.
What is an isosceles triangle?In Mathematics and Geometry, an isosceles triangle simply refers to a type of triangle with two (2) sides that are equal in length (side lengths) and two (2) equal angles.
This ultimately implies that, an isosceles triangle comprises two (2) side lengths that are equal and two (2) angles with the same magnitude.
In conclusion, the angle measures of each of the angles represented by this triangle is equal to 90 degrees and as such, they are acute angles.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
A rectangle has vertices A(6, 4), B(2, 4), C(6, -2), D(2, -2).
What are the coordinates of the vertices of the image after a dilation with the origin as its center and a scale factor of 2?
A'(9, 6), B'(3, 6), C'(9, -3), D'(3, -3)
A'(3, 2). B'(1, 2), C'(3, -1), D'(1, -1)
A' (12, 8), B'(4, 8), C'(12, -4), D'(4, -4)
Answer:
A' (12, 8), B'(4, 8), C'(12, -4), D'(4, -4)
Step-by-step explanation:
Since the dilation is in the center, we just need to multiply everything by our scale factor, 2.
A (6,4) → (12, 8)
B (2,4) → (4, 8)
C (6, -2) → (12, -4)
D (2, -2) → (4, -4)
Hope this helps!
al Thinking and Logic: Practice
Question 4 of 5
Select the correct answer from each drop-down menu.
Complete the contrapositive of the following statement.
If x is a multiple of 10, it is an even number.
If x is
then it is
Submit
The contrapositive of the statement "If x is a multiple of [tex]10[/tex], it is an even number" is "If [tex]x[/tex] is not a multiple of [tex]10[/tex], then it is not an even number."
To complete the contrapositive of the statement "If [tex]x[/tex] is a multiple of [tex]10[/tex], it is an even number," we need to negate and reverse the original statement.
The original statement can be represented as:
[tex]\[P: \text{If } x \text{ is a multiple of 10, then } x \text{ is an even number.}\][/tex]
The negation of this statement is:
[tex]\[\neg P: \text{If } x \text{ is not an even number, then } x \text{ is not a multiple of 10.}\][/tex]
To form the contrapositive, we reverse the implications:
[tex]\[\text{Contrapositive: If } x \text{ is not a multiple of 10, then } x \text{ is not an even number.}\][/tex]
In symbolic notation, the contrapositive would be:
[tex]\[\text{Contrapositive: } \neg P: \text{If } \neg(x \text{ is a multiple of 10}), \text{ then } \neg(x \text{ is an even number}).\][/tex]
Therefore, the contrapositive of the statement "If x is a multiple of [tex]10[/tex], it is an even number" is "If [tex]x[/tex] is not a multiple of [tex]10[/tex], then it is not an even number."
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PLEASE HELP WILL GIVE ALOT OF PTS !! :) perform the indicated operations.
Answer:
The answer is down below
Step-by-step explanation:
1 -6 0 3 6
9 7 + 1 4 7
5 3 2 5 8
= 1+0 -6+3 0+6
9+1 7+4 0+7
5+2 3+5 0+8
= 1 -3 6
10 11 7
7 8 8
What is the domain of the function?
The domain of a function is all of the possible x-values.
In the case of this function, we can see that the x-values begin at negative infinity, continue/change between -1 and 1, and pick up again to continue through positive infinity.
Therefore, the domain of the function is negative infinity to infinity, option D/#4.
Hope this helps!
Similar or not similar
SSS or AAA or SAS
Answer:
These triangles are not similar because the ratios of corresponding sides are not equal.
Please help me with this thank youuuuu
"g" is the subject of the equation in terms of "a" and "h."
To make "g" the subject of the equation "a = (g + h)/2," we can rearrange the equation to isolate "g."
Let's follow the steps:
Multiply both sides of the equation by 2 to eliminate the fraction:
2a = g + h
Subtract "h" from both sides to isolate "g":
2a - h = g
By performing these operations, we have successfully isolated "g" on one side of the equation.
The resulting equation is "g = 2a - h."
This equation shows that "g" is equal to two times "a" minus "h."
By substituting the given values of "a" and "h" into the equation, you can calculate the corresponding value of "g."
If we have "a = 5" and "h = 3," we can substitute these values into the equation to find the value of "g":
g = 2(5) - 3
g = 10 - 3
g = 7
"a" is 5 and "h" is 3, the value of "g" is 7 according to the equation "g = 2a - h."
The equation "g = 2a - h" allows you to express "g" in terms of "a" and "h" by subtracting "h" from twice the value of "a."
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7. When you eat an ice cream scoop with a volume of 179.59 cubic inches, find the radius.
Then find the surface area of that scoop. (Normal thoughts of a geometry
ice cream.) *****hint - go backwards****
student eating
Answer:
radius: 3.50 inarea: 153.9 in²Step-by-step explanation:
You want the radius and area of a spherical ice cream scoop with a volume of 179.59 cubic inches.
VolumeThe volume of a sphere is given by the formula ...
V = (4/3)πr³
RadiusThen the radius will be ...
r = ∛(3V/(4π))
r = ∛(3·179.59/(4π)) ≈ 3.49997 . . . . in
The radius is about 3.50 inches.
AreaThe area of a sphere is given by ...
A = 4πr^2
A ≈ 4π·(3.49997 in)² ≈ 153.9355 . . . . in²
The area of that scoop is about 153.9 square inches.
__
Additional comment
A scoop 7 inches in diameter would likely be served in a bowl.
#95141404393
An Italian trader bought merchandise in China and now wants to return home with it. However, he doesn’t want to return via the Silk Road. Choose all the spots on the route he can take to reach Italy.
After purchasing goods from China, the Italian trader has a number of non-Silk Road destinations to choose from, including:
Location in India
The Indian Ocean's Spot
the region rising from the Red Sea
the region above Italy
The Silk Road was what?The network of commercial routes known as the "Silk Road" was used for more than 1,500 years, from the Han dynasty of China's opening of trade in 130 BCE to the Ottoman Empire's suspension of trade with the West in 1453 CE.
Over a distance of over 6,437 kilometers (4,000 miles), the Silk Road passed through some of the most challenging landscapes in the world, including the Pamir Mountains and the Gobi Desert. Because no single administration was in charge of maintenance, the roads were usually in poor condition.
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If p =(-4,6), find the image of p under the following rotation. 90 counterclockwise about the origin
The image of point P under a 90-degree counter Clockwise rotation about the origin is (-6, -4).
To find the image of point P = (-4, 6) after a 90-degree counterclockwise rotation about the origin, we can use the following formula:
(x', y') = (xcosθ - ysinθ, xsinθ + ycosθ)
where (x, y) are the coordinates of the original point, θ is the angle of rotation, and (x', y') are the coordinates of the rotated point.
In this case, θ = 90 degrees, so we have:
(x', y') = (-4cos90 - 6sin90, -4sin90 + 6cos90)
= (-6, -4)
Therefore, the image of point P under a 90-degree counterclockwise rotation about the origin is (-6, -4).
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A pharmaceutical company receives large shipments of ibuprofen tablets and uses an acceptance sampling plan. This plan randomly selects and tests 26 tablets, then accepts the whole batch if there is at most one that doesn't meet the required specifications. What is the probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 15% rate of defects?
(Report answer as a decimal value accurate to four decimal places.)
P(accept shipment) =
Answer:
0.8475
Step-by-step explanation:
We can model the number of defective tablets in the shipment as a binomial distribution with parameters $n=26$ (the sample size) and $p=0.15$ (the probability of a defective tablet).
To calculate the probability that the whole shipment will be accepted, we need to find the probability that the number of defective tablets in the sample is at most 1, which means that the shipment meets the required specifications.
5. A cyclist travelling at 24 km/h takes 15 minutes longer to complete a certain distance than his competitor travelling at 32 km/h. Calculate the distance covered
The calculated value of the distance covered is 2 km
Calculating the distance covered From the question, we have the following parameters that can be used in our computation:
Speeds = 24 km/h and 32 km/h
The time difference is given as
Time = 15 minutes
The distance covered is calculated as
Distance = (Change in speed) * Time
Substitute the known values in the above equation, so, we have the following representation
Distance = (32km/h - 24km/h) * 15 minutes
Evaluate
Distance = 2 km
This means that the distance covered is 2 km
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Describe how r(x) - 3f(x+1) transforms the graph of the parent function f(x)=x^2 .
The function r(x) - 3f(x+1) transforms the parent function f(x)=x^2 by shifting it left by 1 unit, vertically stretching it by a factor of 3, and translating it downward by 3 units. The resulting graph is a parabola with vertex at (-1,-3) and a steeper shape.
The function r(x) - 3f(x+1) is a transformation of the parent function f(x)=x^2. Let's consider each transformation step by step.
First, the function f(x+1) represents a horizontal shift of the parent function f(x)=x^2 to the left by 1 unit. This means that the vertex of the parabola is shifted to the point (-1,0).
Next, the function 3f(x+1) vertically stretches the parabola by a factor of 3. This means that the distance between the vertex and the x-intercepts of the parabola is tripled, while the shape of the parabola remains the same.
Finally, the function r(x) subtracts a constant value from the transformed function. This translates the entire graph downward by 3 units.
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A fair number cube with faces numbered 1 through 6 was rolled 12 times. The cube landed with the number 2 face up 6 times. What is the difference between the experimental probability and the theoretical probability of the number 2 landing face up?
Select one:
a. 1/6
b. 1/3
c. 1/2
d. 2/3
Which of the following is equivalent to 7x +5 < -2(4x-3)?
• x > 11
• -x < 1
• 15x < -11
• 15x < 1
To solve this inequality for x, we need to isolate x on one side of the inequality sign. Let's begin by distributing the -2 on the right-hand side:
7x + 5 < -2(4x - 3)
7x + 5 < -8x + 6
Adding 8x to both sides, we get:
15x + 5 < 6
Subtracting 5 from both sides, we get:
15x < 1
So the equivalent inequality to 7x + 5 < -2(4x-3) is 15x < 1.
Therefore, the answer is: 15x < 1.
Given: f(x) = 4.1 42 4x-10 x-2 Determine the x- and y-intercepts of f. 4.3 a x=2² Write f(x) in the form: f(x)=- + q. Draw the graph of f, clearly show the intercepts with the axes and the asymptotes.: 15. 44 Give the equations of the asymptotes of f(x) + 3.
f(x) = 4.1/(42.4x-10(x-2)), x-intercept = -4.878, y-intercept = (0,-2.05), asymptotes: vertical at x=2, horizontal at y=0, and slant at y=4.1/8x.
Given: f(x) = 4.1/(42.4x-10(x-2))
To find the x-intercept, we set f(x) to zero and solve for x:
0 = 4.1/(42.4x-10(x-2))
0 = 4.1/(32.4x+20)
0 = 4.1/4.08(x+4.878)
So, the x-intercept is x = -4.878.
To find the y-intercept, we set x to zero and solve for f(x):
f(0) = 4.1/(42.4(0)-10(0-2))
f(0) = -2.05
So, the y-intercept is (0,-2.05).
To write f(x) in the form f(x) = -1/(ax + b) + q, we can simplify the expression as follows:
f(x) = 4.1/(42.4x-10(x-2))
f(x) = 4.1/(32.4x+20)
f(x) = 4.1/4.08(8x+5)
So, a = 8, b = 5, and q = 4.1/4.08.
To draw the graph of f, we plot the x- and y-intercepts and the vertical asymptote x = 2.
We can find the horizontal asymptote by noting that as x becomes very large or very small, the term 10(x-2) dominates the expression, so f(x) approaches 4.1/-10x. Thus, the horizontal asymptote is y = 0.
To find the equations of the slant asymptotes, we divide the numerator by the denominator using long division:
4.1
8x + 5 | 4.1
- 4.1
0
So, the slant asymptote is y = 4.1/8x.
Therefore, the intercepts of f are x = -4.878 and (0,-2.05), and the equation of f(x) in the form f(x) = -1/(ax + b) + q is f(x) = -1/(8x + 5) + 1.0039.
The graph of f has intercepts with the x-axis at x = -4.878 and the y-axis at (0,-2.05), a vertical asymptote at x = 2, a horizontal asymptote at y = 0, and a slant asymptote at y = 4.1/8x.
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Which of the following algebraic steps will solve the equation 3x/4=7/3 what is the solution
9x=28. x=28÷9
4
ہے
In a school, 30% of the students have brown eyes. Find
the experimental probability that in a group of 4 students,
at least one of them has brown eyes.
The problem has been simulated by generating random
numbers. The digits 0-9 were used. Let numbers "2",
"4" and "8" represent the 30% of students with brown
eyes. A sample of 20 random numbers is shown.
Hint: First, count all of the random numbers that contain a 2, 4, or 8.
7918 7910 2546 1390 6075
1230 2386 0793 7359 3048
2816 6147 5978
5621
9732
9436 3806 5971
6173
1430
Number of samples with 2, 4, and 8 = [?]
Enter
The experimental probability that in a group of 4 students, at least one of them has brown eyes, based on the given sample, is 0.898 or 89.8%.
We know that "2", "4", and "8" represent the 30% of students with brown eyes.
Any occurrence of these numbers in the sample would indicate a student with brown eyes, while other numbers would represent students without brown eyes.
Let's examine the sample of 20 random numbers:
3, 7, 1, 6, 4, 2, 0, 9, 8, 5, 2, 7, 6, 8, 4, 3, 1, 2, 0, 4
Out of these 20 numbers, the following represent students with brown eyes: 4, 2, 8, 2, 8, 4, 2, 4.
Total possible combinations of 4 students from the sample = C(20, 4) = 4845 (using the combination formula)
Number of combinations without any student having brown eyes = C(12, 4) = 495 (choosing 4 students from the remaining 12 who don't have brown eyes)
The number of combinations where at least one student has brown eyes = 4845 - 495 = 4350
Experimental probability of at least one student having brown eyes
= 4350 / 4845
= 0.898
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