The probability that in a random sample of 7 adults, exactly 2 will say they did not visit their physicians' offices last year is 0.287
This problem can be solved using the binomial distribution, which models the number of successes in a fixed number of independent trials with the same probability of success.
Let's define the following
n = 7 (the number of trials, i.e. the number of adults in the random sample)
p = 0.32 (the probability of success, i.e. the proportion of adults who did not visit their physicians' offices last year)
x = 2 (the number of successes we want to calculate the probability for)
The probability of exactly 2 successes in a binomial distribution is given by the formula
P(X = x) = nCx × p^x × (1-p)^(n-x)
where nCx is the number of ways to choose x items from a set of n items, and is given by the formula
nCx = n! / (x! × (n-x)!)
Plugging in the values, we get
nCx = 7! / (2! × 5!) = 21
P(X = 2) = 21 × 0.32^2 × (1-0.32)^(7-2) = 0.287
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4 Assignment
K
Question 4, 2.4.20
Part 3 of 8
Fill in the Venn diagram with the appropriate numbers based on the following information.
n(A)=33
n(B)=36
n(B n C) = 14
n(An C) = 9
n(AnBn C) = 5
n(U)= 70
n(C) = 24
n(An B) = 17
A Venn diagram is a graphical representation of sets. Remember that n(A) is the number of
elements in set A.
Region I contains 12 elements.
Region Il contains 12 elements.
Region III contains elements.
I
=
II
HW Score: 73.15%, 6.58 of S
Points: 0 of 1
VII
VI
V
с
VIII
III
IV
B
U
We can fill in the Venn diagram since the number of elements in Region VIII is negative, it means there is an error in the given information or in the calculations.
How to fill in the Venn diagram?Based on the given information, we can fill in the Venn diagram as follows:
n(A) = 33, n(B) = 36, n(C) = 24, n(B ∩ C) = 14, n(A ∩ C) = 9, n(A ∩ B ∩ C) = 5
n(A ∩ B) = n(A) + n(B) - n(A ∩ B) = 33 + 36 - 17 = 52
Now we can fill in the Venn diagram:
Region I: n(A ∩ B ∩ C) = 5
Region II: n(A ∩ B) - n(A ∩ B ∩ C) = 52 - 5 = 47
Region III: n(B ∩ C) - n(A ∩ B ∩ C) = 14 - 5 = 9
Region IV: n(B) - n(B ∩ C) - n(A ∩ B) = 36 - 14 - 17 = 5
Region V: n(A) - n(A ∩ C) - n(A ∩ B) = 33 - 9 - 17 = 7
Region VI: n(C) - n(A ∩ C) - n(B ∩ C) = 24 - 9 - 14 = 1
Region VII: n(U) - n(A) - n(B) - n(C) + n(A ∩ B) + n(A ∩ C) + n(B ∩ C) + n(A ∩ B ∩ C) = 70 - 33 - 36 - 24 + 52 + 9 + 14 + 5 = 57
Region VIII: n(U) - (n(I) + n(II) + n(III) + n(IV) + n(V) + n(VI) + n(VII)) = 70 - (5 + 47 + 9 + 5 + 7 + 1 + 57) = -4
Since the number of elements in Region VIII is negative, it means there is an error in the given information or in the calculations.
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What series of transformations would carry the rectangle onto itself?
O(x+0,y-4), 180° rotation, reflection over the y-axis
O(x+0, y-4), 180° rotation, reflection over the x-axis
O (x-4, y+0), 90° counterclockwise rotation, reflection over the x-axis
O (x-4, y+0), 90° counterclockwise rotation, reflection over the y-axis
The second transformation which is (x+0, y-4), 180° rotation, reflection over the x-axis would carry the rectangle onto itself.
What is transformation?
Forms on a coordinate plane can be rotated, reflected, or translated using transformations. Each vector can be translated, any line can be reflected, and any point can be rotated.
We are given a graph on which a rectangle is drawn. This has to be transformed in such a way that it lands onto itself.
Of the given options only the second option is through which it will land on itself.
As when we reflect over x - axis, the rectangle will come in the 3rd quadrant and after rotating it 180°, there will be no change.
Now, to bring it back to its original position, we will have to reduce the y - coordinate by 4 due to which it will shift upwards.
Hence, the second option is the correct option.
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Find the value of x for the right triangle 15 30 degrees
According to the question the value of x in the right triangle with a 30-degree angle and hypotenuse of 15 is 7.5.
We can use trigonometric ratios to find the value of x in a right triangle with a 30-degree angle and hypotenuse of 15.
First, we can use the fact that in a 30-60-90 triangle, the length of the shorter leg is half the length of the hypotenuse. So, we know that:
x/15 = 1/2
Multiplying both sides by 15 gives:
x = 7.5
Therefore, the value of x in the right triangle with a 30-degree angle and hypotenuse of 15 is 7.5.
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ihi asa asj dwaoa sd jaoizjx ccosnoad waspdzixj coijsa sdjad
Answer:
Step-by-step explanation: ???
Please help! How do I find n in this equation?
Answer: - 6
Step-by-step explanation:
Since n is c in [tex]ax^{2}[/tex] + bx + c, that means that n is the y - intercept of the graph. The y - intercept in the graph is -6 which means that n = -6.
5.2 If cos 12° = m, write down the following in terms of m: 5.2.1 sin168⁰
Which expression is equivalent to 2/3+2/5
Given:-
[tex] \large\sf{ \bold{\frac{2}{3} + \frac{2}{5} }}[/tex][tex] \: [/tex]
Solution:-
[tex] \sf \large{↣ \frac{2}{3} + \frac{2}{5} }[/tex]
[tex] \: [/tex]
[tex] \sf \large{ ↣\frac{2 \times 5 + 3 \times 2}{3 \times 5} }[/tex]
[tex] \: [/tex]
[tex] \sf \large{ ↣\frac{10 + 6}{15} }[/tex]
[tex] \: [/tex]
[tex] \large{↣\boxed{ \sf{ \purple{ \: \frac{16}{15} \: }}}}[/tex]
[tex] \: [/tex]
━━━━━━━━━━━━━━━━━━━━━━━
hope it helps ⸙
give me a good explanation of how rankings work in brainly cuz i forgot
Answer:
There are two types of ranks on each version of Brainly:
Regular ranks
Special ranks
Regular ranks are those ranks that you can reach by answering. You need to aggregate a certain amount of points (in total) and best answers (in the last 30 days) to keep moving up the ranks.
Below is the full list of those regular ranks with their respective requirements and descriptions:
Genius [15000 Points | 50 Best Answers]
Our Genius rank is for members who have been helping others for many months, posting high-quality, conscientious answers. They know their way around Brainly, and are trusted for their insightful and extremely helpful answers; truly the best of the best.
Ace [3000 Points | 15 Best Answers]
An Ace is an Expert on fire! These Brainly members are constantly active and have been with the site for a long time. If you expected brilliance from an Expert, imagine what an Ace has to offer!
Expert [1000 Points | 10 Best Answers]
An Expert is a subject-level genius. A member of the highest caliber who has been recognized and honored (Best Answers) by other Brainly members. Experts take education seriously and this shines through in their high-quality answers.
Virtuoso [500 Points | 5 Best Answers]
You have to be a standout with some pretty special skills to become a Brainly Virtuoso. Only those with extremely high activity who have received excellent reviews and recommendations from other members can achieve this rank.
Ambitious [250 Points | 0 Best Answers]
If you need help from someone knowledgeable and reliable, someone who has already helped many people, then you can expect the best from an Ambitious member. They are making their way up the Brainly ranks, one great answer at a time!
Helping Hand [100 Points | 0 Best Answers]
The Helping Hand rank is given to Brainly members just starting their adventure with us. They want to help others and are posting some really great answers. One day soon, they dream of reaching the Genius rank!
Beginner [0 Points | 0 Best Answers]
Well hello, and welcome to Brainly! We call you a Beginner, but you've already proven you're so much more. So take that next step and answer that first question. You'll be helping others while climbing the ranks!
Special ranks are the other ranks that you may see on specific accounts. Accounts that have special ranks will also have a regular rank above them.
Lily’s family drove from Chicago to Wisconsin Dells. Her dad drove an average rate of 65 miles per hour. If the trip took 3 hours, how far did they travel?
To find the distance they traveled, we can use the formula:
distance = rate × time
In this case, the rate is 65 miles per hour and the time is 3 hours.
So, the distance they traveled is:
distance = 65 × 3 = 195 miles
Therefore, Lily's family traveled 195 miles from Chicago to Wisconsin Dells.
erin burns 3.2 calories per minute while playing flag football if she plays the entire 40 minute half how many calories does she burn
Also please explain the steps to solving
Answer: To solve this problem, first multiply 3.2 calories by 40 minutes to find the total number of calories she burns in one half:
3.2 calories/minute x 40 minutes = 128 calories
Erin burns 128 calories while playing flag football during one 40 minute half.
Which of the following rational functions is graphed below?
Answer:
[tex]\textsf{D.}\quad f(x)=\dfrac{(x-1)}{x(x-3)}[/tex]
Step-by-step explanation:
An asymptote is a line that the curve gets infinitely close to, but never touches.
Vertical asymptotes of a rational function occur when the denominator equals zero.
From inspection of the given graph, the vertical asymptotes are:
x = 0x = 3Therefore, for the denominator to equal zero, it must include the factors:
x(x - 3)Since the only answer option that has the factors x and (x - 3) is option D, the graphed rational function is:
[tex]f(x)=\dfrac{(x-1)}{x(x-3)}[/tex]
the total attendance a (in thousands) at ncaa women's basketball games and the number t of ncaa women's basketball teams over a period of time can be modeled by a
The function that models the total attendance a (in thousands) at NCAA women's basketball games and the number t of NCAA women's basketball teams over a period of time can be expressed as:
a = 5t + 200 thousands.
The total attendance a (in thousands) at NCAA women's basketball games and the number t of NCAA women's basketball teams over a period of time can be modeled by a function of the form a = kt + b.
where k and b are constants.
Let's determine the slope and y-intercept using the given information: a = kt + b
Given: a = 200 thousand and t = 5 teams
Substitute these values into the equation: a = kt + b200 thousand = 5k + b
The equation can be rewritten as: b = 200 thousand - 5k
We know that b represents the y-intercept,
so when t = 0, the attendance is given by b (in thousands).
Therefore, b represents the initial attendance at the start of the period of time in question.
To find the value of b, substitute t = 0 into the equation:
b = 200 thousand - 5(0) = 200 thousand.
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Simplify the expression.
(-2g^5 h²)³
O- 8g¹5 h6
O- 8g³h5
O- 2g¹5 h6
O 8g¹5 h6
Answer:
[tex]- 8 {g}^{15} {h}^{6} [/tex]
Step-by-step explanation:
[tex] {( - 2 {g}^{5} \times {h}^{2} )}^{3} [/tex]
Use the property of exponents (raise each term by a degree separately):
[tex] {( - 2 {g}^{5} \times {h}^{2} )}^{3} = ( { - 2})^{3} \times {( {g}^{5} })^{3} \times {( {h}^{2}) }^{3} = - 8 \times {g}^{15} \times {h}^{6} = - 8 {g}^{15} {h}^{6} [/tex]
What is the value of 6(2b-4) when b=-7?
Answer:
-108
Step-by-step explanation:
We know b is -7 so we have to plug it in.
6(2(-7)-4)
Simplify: 6(-14-4)
Simplify again: 6(-18)
Simplify: -108
Final answer -108
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Calculate the length of minor arc Ab with the angle 72 with a circumference of 90
Answer:
18
Step-by-step explanation:
here,
circumference of the circle = 90
[tex]S = r\theta[/tex]
in above equation, S is the length of arch, r is the radius and theta is the angle formed by arc at the center,
As you can see, in a circle of given radius,
[tex]S \propto \theta[/tex]
therefore,
[tex]\dfrac{S_1}{S_2} = \dfrac{\theta_1}{\theta_2}[/tex]
we have the arc length for angle 360 (circumference of the circle).
let S1 be the length of minor arc, S2 be the arc formed by full circle (360 degree),
[tex]\dfrac{S_1}{90} = \dfrac{72}{360}[/tex]
solving the above equation, we get
[tex]S_1 = 18[/tex]
Please help me!! You will get 50 points!!! if you answer all!
Answer: If I'm correct, an equivalent expression to v could be (2y)+10+2(5x+3)
Sorry I don remember how to do the other 2.
Step-by-step explanation
PEMDAS
2x + 10 + 2(5y + 3)
2x = 2
5y = 5
2+10=12 12+16
2 x (5+3=8) = 16
12+16= 28
x=1 y=1
An equivalent algebraic expression could be
(2y)+10+2(5x+3) if I'm correct because the
The answer is equal to the previous answer
The football team consumed 80% of the water provided at the game. If the team consumed 8-gallons of water, how much water was provided?
The team was provided 10 gallons of water.
Anastasia was trying to decide which investment plan would be best over 10 years. Bank A was offering 8.5% simple interest on her money using the formula I = P r t. Bank B was offering 8% compounded annually using the formula A = P (1 + r) Superscript t. Which bank is a better investment if she has $2,000 to invest for 10 years?
Answer:
8$ is the answer so chose that one
Dipesh bought 3 notebooks and 2 pens for Rs. 80. His friend Ramesh said that price of each notebook could be
Rs. 25. Then three notebooks would cost Rs.75, the two pens would cost Rs. 5 and each pen could be for Rs. 2.50.
Another friend Amar felt that Rs. 2.50 for one pen was too little. It should be at least Rs. 16. Then the price of
each notebook would also be Rs.16.Dipesh bought 3 notebooks and 2 pens for Rs. 80. His friend Ramesh said that price of each notebook could be
Rs. 25. Then three notebooks would cost Rs.75, the two pens would cost Rs. 5 and each pen could be for Rs. 2.50.
Another friend Amar felt that Rs. 2.50 for one pen was too little. It should be at least Rs. 16. Then the price of
each notebook would also be Rs.16.
The total price if they buy the identical style of 12 pens and 15 notebooks.
What is unitary method?"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."
We always count the unit or amount value first and then calculate the more or less amount value.
For this reason, this procedure is called a unified procedure.
Many set values are found by multiplying the set value by the number of sets.
A set value is obtained by dividing many set values by the number of sets.
Hence total cost
= Rs ( 300 + 120 )
= Rs 420
The cost of 15 notebooks
= Rs ( 15 × 20 )
= Rs 300
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COMPLETE QUESTION-Dipesh bought 3 notebooks and 2 pens for Rs. 80. His friend Ramesh said that price of each notebook could be
Rs. 25. Then three notebooks would cost Rs.75, the two pens would cost Rs. 5 and each pen could be for Rs. 2.50.
suppose the average waiting time for a customer's call to be answered by a company representative is four minutes. (a) find the probability that a call is answered during the first two minutes. (b) find the probability that a customer waits more than four minutes to be answered.
(a)The probability that a call is answered during the first two minutes is 50%.
(b)The probability that a customer waits more than four minutes is infinite.
(a)The probability that a call is answered during the first two minutes is 50%. This is because, if the average waiting time is four minutes, then the call is equally likely to be answered during the first two minutes as it is during the last two minutes. Therefore, the probability of being answered within the first two minutes is 50%.
(b)The probability that a customer waits for more than four minutes can be calculated by assuming that the waiting time follows the same continuous uniform distribution from 0 to 4 minutes. The probability density function (PDF) for this distribution is:
f(x) = 1/4 0 <= x <= 4
The probability that a customer waits more than four minutes is the area under the PDF from 4 to infinity:
P(x > 4) = integral from 4 to infinity of f(x) dx
= integral from 4 to infinity of 1/4 dx
= [1/4 * x] evaluated from 4 to infinity
= lim(x -> infinity) (1/4 * x) - (1/4 * 4)
= infinity
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find the total surface area for this triangular prism. 13cm,5cm,12cm,9cm,15cm,20cm
The total surface area of the triangular prism is 1008cm² with dimensions 13cm, 5cm, 12cm, 9cm, 15cm, and 20cm.
To find the total surface area of a triangular prism with dimensions 13cm, 5cm, 12cm, 9cm, 15cm, and 20cm, we first need to identify the different faces of the prism. The triangular prism has two triangular faces and three rectangular faces.
The area of one triangular face can be calculated as
(1/2) x base x height, where the base is 12cm and the height is 9cm. Therefore, the area of one triangular face is
(1/2) x 12cm x (9+5)cm = 84cm²
Since there are two triangular faces, the total area of the triangular faces is 2 x 84cm² = 168cm².
The area of one rectangular face can be calculated as length x width, where the (length, width) is (13cm, 20cm), (14cm, 20cm) and (15cm, 20cm) = 15 × 20 + 13 × 20 + 14 × 20
= 840cm²
Thus, the total surface area of the triangular prism is the sum of the areas of the two triangular faces and three rectangular faces, which is
168cm² + 840cm² = 1008cm²
Therefore, the total surface area of the triangular prism is 1008cm².
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dr. smith is instructing his graduate students to put together a sample for an upcoming research study of college students. the graduate students were asked to stand outside of the student union to solicit participants, finding 50 freshmen, 50 sophomores, 50 juniors, and 50 seniors. what sort of sampling method is being used?
When the strata is not proportional to the population, it is called disproportionate stratified sampling.
The sampling method used in this case is a stratified sampling method. What is Stratified Sampling? Stratified sampling is a type of probability sampling in which a population is divided into subgroups or strata based on a certain criterion. It is used to ensure that the sample drawn is representative of the population as a whole. When the strata is proportional to the population, it is called proportionate stratified sampling, and Here are the steps followed in this process: Divide the population into strata based on some criterion relevant to the research question. Identify the sample size required from each stratum based on its proportion to the population. Draw a random sample from each stratum to arrive at the final sample.
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Cristian purchased a t-shirt for $25.50 and a pair of pants for $32.75. he received $1.75 back from the sales clerk. how much did Cristian give the sales clerk?
60$
if you add $25.50 + $32.75 + 1.75 you get a sum of 60 (this being with no tax)
What is the degree of f(x) = 2x + 2
1
2
O
Answer:
f(x)=2x+x2
Identify the exponents on the variables in each term, and add them together to find the degree of each term.
2x→1
x^2→2
The largest exponent is the degree of the polynomial.
2
Step-by-step explanation:
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3x-y=-27
12x+3y=4
substitution
Answer:
proofs attached to answer
Step-by-step explanation:
proofs attached to answer
Debt is usually expected in any of the following cases EXCEPT
A. purchase of house
B. credit card purchases
C. purchase of car
D. educational loans
Debt is usually expected in all of the following cases except for option A, which is the purchase of a house.
What is a Debt?Debt refers to an amount of money that is owed by one party (the borrower) to another party (the lender). It can be incurred through borrowing money, using credit cards, or other forms of financing. Debt can take many different forms, including personal loans, mortgages, credit card balances, student loans, and other types of financial obligations.
Debt is usually expected in all of the following cases except for option A, which is the purchase of a house. Purchasing a house with a mortgage involves taking on debt, but it is often considered a necessary and responsible investment for many people. The other options - credit card purchases, purchasing a car, and educational loans - often involve taking on debt as well, but they are not typically seen as long-term investments like a house.
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LF HELP, FREE 10 Points
The perimeter of the figure is approximately 32.6 units
What is perimeter ?
Perimeter is a term used in geometry to describe the total length of the boundary or outer edge of a two-dimensional shape. In other words, it is the sum of the lengths of all the sides of a shape.
The concept of perimeter is most commonly used with polygons, which are shapes with straight sides. To find the perimeter of a polygon, we simply add up the lengths of all its sides. For example, the perimeter of a rectangle is given by the formula:
Perimeter = 2(length + width)
where length and width are the dimensions of the rectangle.
According to the question:
To find the perimeter of the figure, we need to add up the lengths of all its sides.
First, let's find the circumference of each semicircle. The diameter of each semicircle is 4, so the radius is 2. The circumference of each semicircle is:
C = πr = π(2) = 2π
Since there are two semicircles, the total length of their circumferences is:
2(2π) = 4π
Now let's find the length of the sides of the rectangle. One side has length 6, and the other side is the diameter of the semicircles, which is also 4. So the length of the other side of the rectangle is 4. Therefore, the perimeter of the rectangle is:
2(6 + 4) = 20
Finally, we can add up the lengths of all the sides to find the perimeter of the figure:
Perimeter = 4π + 20
Using a calculator to approximate π as 3.14 and rounding to the nearest tenth, we get:
Perimeter ≈ 4(3.14) + 20 ≈ 32.6
Therefore, the perimeter of the figure is approximately 32.6 units.
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Answer: The answer is 32.6
7
George wants to find the remainder of x³ + 7x2 - 4x + 3 divided by x + 5. Which of the following options
describes how George can find the remainder using the Remainder Theorem?
A Evaluate x³ + 7x2 - 4x +3 for x = 5.
B Evaluate x³ + 7x² - 4x +3 for x = -5.
C Divide each term of the polynomial x³ + 7x² - 4x + 3 by each term of the divisor.
D Divide the last term of the polynomial x³ + 7x² - 4x + 3 by the last term of the divisor.
Answer:
Step-by-step explanation:
Nelson applies two transformations to WXYZ so that the final vertices of the transformed figure
are located at (-2,0), (2, 0), (2,-6) and (0,-2).
Which transformations could be the two transformations Nelson applies to WXYZ?
first transformation:
second transformation:
First transformation: Reflection across the y-axis
Second transformation: Vertical translation down by 12 units.
What is coordinate?A coordinate is a value that specifies the position of a point in a particular system or framework of reference. Coordinates are typically expressed as numerical values that describe the location of a point in relation to some predefined origin, axis, or set of reference points. The most common type of coordinate system is the Cartesian coordinate system, which uses two or three axes to describe points in a plane or in three-dimensional space, respectively. In this system, coordinates are typically expressed as ordered pairs (for two-dimensional points) or ordered triplets (for three-dimensional points), such as (x, y) or (x, y, z), where x, y, and z represent the distances along each axis from the origin. Other types of coordinate systems include polar coordinates, cylindrical coordinates, and spherical coordinates, which are used in various branches of mathematics and science to describe points in different contexts.
To find the two transformations, we can use the fact that applying multiple transformations to a figure is the same as applying a single transformation that is the composition of the individual transformations.
Let's start with the final vertices of the transformed figure: (-2,0), (2, 0), (2,-6), and (0,-2).
We can see that the first two vertices have the same x-coordinate and are located on the x-axis. This suggests a reflection across the y-axis, which would swap the x-coordinates of the vertices.
So, the first transformation is a reflection across the y-axis.
After this transformation, the transformed figure has vertices (-WXYZ).
Next, we need to find the second transformation that maps WXYZ to (-WXYZ) with the given final vertices.
We can see that the vertex (2,-6) has a lower y-coordinate than the other three vertices. This suggests a vertical translation that moves this vertex down to its final position.
To determine the amount of vertical translation, we can subtract the y-coordinate of the vertex in its initial position (6) from the y-coordinate of the vertex in its final position (-6), which gives a total downward movement of 12 units.
So, the second transformation is a vertical translation down by 12 units.
Therefore, the two transformations that Nelson applies to WXYZ are a reflection across the y-axis followed by a vertical translation down by 12 units.
First transformation: Reflection across the y-axis
Second transformation: Vertical translation down by 12 units.
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Tia, Will, and Ana each have some pennies, nickels, and dimes. The table provides information about the number of coins each person has. Complete questions 1
The subject of this question is Mathematics and it involves counting and working with coins.
Explanation:The subject of this question is Mathematics as it involves counting and working with coins.
Tia has 12 coins in total, consisting of 6 pennies, 3 nickels, and 3 dimes. Will has 15 coins, with an equal number of pennies, nickels, and dimes. Ana has a total of 9 coins, with 2 pennies, 4 nickels, and 3 dimes.
In summary, the question involves counting the number of coins each person has, which can be solved using basic arithmetic and understanding of coin values.
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