The probability for first household speaking French, but the second household speaking English is given as 0.1449.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
The percentage of people to speak English is 63%.
And, to speak french is given as 23%.
Then, the probabilities for English and French speaking people are given as below,
P(English) = 63% = 0.63
And, P(French) = 23% = 0.23
Then, the probability for first English and second French people is given as follows,
P(English and French) = P(English) × P(French)
⇒ 0.63 × 0.23 = 0.1449
Hence, the required probability is given as 0.1449.
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Prove the property a × b = − b × a of this theorem.
Let a= (a1, a2, a3) and b= (b1, b2, b3)
Then,
a × b = xxxxx
= (−1) * xxxx
= − b × a.
Fill in for the italic x's
The property states that when two vectors a and b are multiplied together, the result is equal to the negative of b multiplied by a. This can be shown by multiplying the components of both vectors and then multiplying the result by -1.
a×b = (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1)
= (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1)
= (−1) * (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1)
= (−1) * (b2*a3 - b3*a2, b3*a1 - b1*a3, b1*a2 - b2*a1)
= − b × a.
The property a × b = − b × a states that when two vectors a and b are multiplied, the result is equal to the negative of b multiplied by a. This can be proven by first expanding the components of both vectors. For a vector a=(a1,a2,a3) and b=(b1,b2,b3), the expanded form of a×b is (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1). This can then be multiplied by -1 to get the expanded form of -b×a, which is (b2*a3 - b3*a2, b3*a1 - b1*a3, b1*a2 - b2*a1). Since this is equal to the original form of a×b, this proves the property.
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sketch the area represented by g(x). g(x) = x t2 dt 1
The area represented by g(x) is a triangular region with base 1 and height (7/3) x, where x is the variable along the horizontal axis. The resulting shape will be a right triangle with vertices at (0,0), (1,0), and (0, (7/3) x).
It seems like you are asking to sketch the area represented by the function g(x) given as the integral of x with respect to t from 1 to 2. However, there seems to be a typo in your question. I will assume that you meant g(x) = ∫[1 to x] t^2 dt. Please follow these steps to sketch the area represented by g(x):
1. Draw the function y = t^2 on the coordinate plane (x-axis: t, y-axis: t^2).
To sketch the area represented by g(x) = x t2 dt 1, we first need to evaluate the definite integral. Integrating x t2 with respect to t gives us (1/3) x t3 + C, where C is the constant of integration. Evaluating this expression from t=1 to t=2 gives us (1/3) x (2^3 - 1^3) = (7/3) x.
2. Choose an arbitrary x-value between 1 and 2 (e.g., x = 1.5).
3. Draw a vertical line from the x-axis to the curve of y = t^2 at x = 1.5. This line represents the upper limit of the integral.
4. Draw another horizontal axis from the x-axis to the curve of y = t^2 at x = 1. This line represents the lower limit of the integral.
5. The area enclosed by the curve y = t^2, the x-axis, and the vertical lines at x = 1 and x = 1.5 represents the area for the given value of x.
In conclusion, the area represented by g(x) = ∫[1 to x] t^2 dt can be sketched by plotting the curve y = t^2, choosing a specific x-value between 1 and 2, and then finding the enclosed area between the curve, x-axis, and the vertical lines at x = 1 and x = chosen x-value.
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Find the value of x?
Answer:
x = 94°
Step-by-step explanation:
interior angle sum of any polygon: (s-2)×180°
with s being the number of sides.
since there are 7 sides, 7-2 = 5
5* 180°
900° = total sum
______________________________
since we know the rest of the angles, just subtract the total sum from the sum of the known angles to find the unknown one.
900°-(148°+140°+136°+142°+150°+90°) = x
900°- 806°= 94°
x= 94°
The individual responsible for developing the group style known as encounter group was_____?
Answer: Fritz Perk
Have a great day.
Quadrilateral ABCD is inscribed in this circle
What is the measure of angle A?
Answer:
The four angles of a quadrilateral sum to 360 degrees.
If A and B are right angles then (2x+1) + 148 equal 180 degrees.
Therefore angle A = 32 degrees.
Step-by-step explanation:
Write the equation of the line parallel
to y = 4 /5x + 4/5 that passes through the point ( -6,6).
Step-by-step explanation:
Here, slope= 4/5 , As y= mx+c
according to formula, y-y1= m(x-x1)
y-6= 4/5(x+6)
5/4 (y-6)= x+6
5/4y - 15/2= x+6
x- 5/4y + 27/2 =0
The ratio of the amount of money Karen had to the amount of money Peter had was 2 : 5. After Peter received $75 from his mother, the ratio of the amount of money Karen had to the amount of money Peter had became 4 : 15. How much money did each person have at first?
Answer:
$60 and $150
Step-by-step explanation:
Initially
Karen : Peter = 2 : 5
After Peter receiving $75 the ratio is
4 : 15
We can suppose that initally the amount of monye Karen has is 2x and Peter is 5x.
The new ratio is
2x : (5x +75) = 4 :15
2x (15)= 4 (5x +75)
30 x = 20 x + 300
10 x = 300
x = 30
So at first Karen has 2x =60 dollars while Peter has 5x = 5(3) = 150 dollars.
Simplify: (4 – 5) – (13 – 18 + 2).
please & thank you!
Answer:
glad it helps
Step-by-step explanation:
(4-5)- (13-18+2)
(-1)-13+18-2
= 2
Which of the following is/are cube(s) of even number (i) 249 (ii) 50653
Answer:
None (If there are just these two options i.e, 249 and 50653. I think there are more options, anyway)
Step-by-step explanation:
Cubes of even numbers are even and cube of odd numbers are odd.
Since both the numbers are odd, both of their cubes must be odd too.
Thank You
Hope this helps you
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Mr. Bridge teaches four regular classes and a seminar. The numbers of students in his classes are: 32,29,33,8,31 What is the most appropriate measure of the center?
Answer:
32: median
Step-by-step explanation:
Use the median. Here the median is the middle value of the data string
8, 29, 32, 31, 33, that is, 32.
Define convenience purchases, shopping purchases, and specialty purchases. Describe three specific brand name products in the consumer marketplace today that would correspond to these three types of purchases.
Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.
Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.
Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.
Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.
Three specific brand name products in the consumer marketplace that correspond to these types of purchases are
Convenience Purchase: Coca-Cola (Soft Drink)
Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.
With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.
Shopping Purchase: Apple iPhone (Smartphone)
The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.
The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.
Specialty Purchase: Rolex (Luxury Watches)
Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.
Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.
These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.
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Instructions: Determine the shape and direction of the parabola formed by the given function.
We have the parabola with equation y = 4x².
We have to determine the shape and direction of it.
If we compare it to the standard equation y = ax² + bx + c, we can see that a = 4, b = 0 and c = 0.
As the value of a is positive, the parabola will open upward.
The parameter has an absolute value greater than 1. This means that y increases "faster" relative to x that a parabola with a = 1.
This means that the parabola will be narrow about its line of symmetry which we call vertical strecth.
Answer:
Because a is positive the parabola opens upward.
Because a has an absolute value larger than 1 the parabola is narrow about its line of symmetry which we call vertical stretch.
You don’t have to do all 4 but if you can do some that would be great.
Find the measure of the indicated angle that makes lines u and v parallel.
Answer:
13) ?=90°
14) ?=180°-48° (int angles, u//v)
=132°
15) ?=93° (alt angles, u//v)
16) ?=96° (alt angles, u//v)
Answer:
13: 90°
14: 132°
15: 87°
16: 84°
Step-by-step explanation:
Just subtract the value given from 180
Hope this helps!
solve the following equations
15+ 10z=105
Step-by-step explanation:
15+10z=105
10z=105-15
10z=90
z=9
prove bn=dn..........
Answer:
See Below.
Step-by-step explanation:
We can write a two-column proof.
Statements: Reasons:
\(\displaystyle 1) \text{ } N \text{ is the midpoint of } \overline{AE}\) Given
\(\displaystyle 2) \text{ } \angle 1 \cong \angle 2\) Given
\(\displaystyle 3) \text{ } \angle A \cong \angle E\) Given
\(\displaystyle 4) \text{ } \overline{AN} \cong \overline{NE}\) Definition of Midpoint
\(\displaystyle 5) \text{ } \Delta ABN \cong \Delta EDN\) ASA Congruence
\(\displaystyle 6) \text{ } \overline{BN} \cong \overline{DN}\) CPCTC
Check out this cube: The figure presents a cube. The length of one edge is labeled as 5 units The figure presents a cube. The length of one edge is labeled as 5 units Find the surface area of the cube (above) using its net (below). The figure presents a surface net of a cube. The net consists of 4 squares connected in a row. The second square from the left is also connected to a square above it, and a square below it. The length of one side of one square is labeled as 5 units. The figure presents a surface net of a cube. The net consists of 4 squares connected in a row. The second square from the left is also connected to a square above it, and a square below it. The length of one side of one square is labeled as 5 units. units 2 2 squared
The total surface area of the cube is 150 square units.
Describe Cube?A cube is a three-dimensional solid object that has six square faces, where each face is perpendicular to the adjacent face, and all faces are of equal size. It is a regular polyhedron, which means all its faces are congruent regular polygons, and all its edges are congruent. A cube has 12 edges, eight vertices, and six faces. The distance from one vertex to the opposite vertex, passing through the center of the cube, is called the diagonal of the cube. The length of the diagonal is equal to the square root of three times the length of one side of the cube. A cube is a fundamental shape in geometry and is commonly used in mathematics, architecture, and engineering.
The cube has 6 square faces, each with an area of (5 units)^2 = 25 square units. Therefore, the total surface area of the cube is:
6 x 25 = 150 square units
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The cube has 6 square sides, each of which is \((5\ units)^{2} =25\) square units in total. As a result, the cube's entire surface area is: 150 square units.
Describe Cube?A cube is a solid three-dimensional object with six square sides that are all of the same size and perpendicular to one another. Since it is a regular polyhedron, all of its sides and edges must be congruent regular polygons. Eight vertices, six sides, and twelve edges make up a cube.
The diagonal of the cube is the distance traversing the centre of the cube from one vertex to the opposing vertex. The square root of three times the length of one cube side is equivalent to the length of the diagonal. A cube is a basic geometric shape that is frequently used in engineering, building, and mathematics.
The cube has 6 square sides, each of which is \((5\ units)^{2} =25\) square units in total. As a result, the cube's entire surface area is:
150 square units.
6 x 25 = 150 square units
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A model uses the decision variables x, y and z. Which of the following objective function formulas is nonlinear?
- 2xy/2xy + z
- x + y + z
- 3x - 2y + z
The objective function formula that is nonlinear is - 2xy/2xy + z
Identifying the objective function formulas that is nonlinear?From the question, we have the following parameters that can be used in our computation:
- 2xy/2xy + z
- x + y + z
- 3x - 2y + z
A linear function is a function that has a degree of 1
Other functions with other degrees are nonlinear
Using the above as a guide, we have the following functions with a degree of 1
- x + y + z
- 3x - 2y + z
Hence, the objective function formulas that is nonlinear is - 2xy/2xy + z
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ng an experiment near an empty pool. a student of mass 40kg is standing on one end of a board as the board hangs over the pool as shown. the board is of uniform density, has a length l, and is positioned such that the pivot point is l/3 from the end of the board. the board is just about to tip over into the pool. how far from the pivot point must a 60kg student stand so that the board is just about to tip over?
The student should stand at 2L/9 you will see it tip over so as to weigh of 60kg.
Due to the fact that mass is the quantity of matter contained in an item and does not change with gravity, mass is always the same. As long as the amount of matter in an object doesn't change, its mass will remain constant. In contrast, an object's weight refers to the force of gravity acting on it.
No matter where you are in the cosmos, you have the same mass since mass is a measurement of how much matter is in an object. But because weight measures the force between an object and the body it is resting on, it fluctuates (whether that body is the Earth, the Moon, Mars, et cetera).
Given : A mass of student 40 kg
length is represented by l
Position of the pivot point from the board = l/3
The student should stand at 2L/9 you will see it tip over so as to weigh of 60kg.
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Use the drawing tools to form the correct color answers on the coordinate plane.
Plot three points on the graph of function f.
The graph of the parabola is on the image at the end.
How to graph the function?Here we want to graph the function f(x), we know that:
f(x) = -3*(x - 2)^2 + 1
First we need to find 3 points, so let's evaluate the function:
f(0) = -3*(0 - 2)^2 + 1 = -3*4 + 1 = -11
f(1) = -3*(1 - 2)^2 + 1 = -3*1 + 1 = -2
f(2) = -3*(2 - 2)^2 + 1 = 1
So we have (0, -11), (1, -2), and (2, 1)
Connecting these points you will get the graph of the parabola.
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Factorise by using the product-sum method: x² + 11x + 24 *
Answer:
(x+3)(x+8)
Step-by-step explanation:
x² + 11x + 24 = (x+3)(x+8)
What is the integrated rate law for a 1st order reaction?
Russ, don, pamela, and stephanie are the first names of four friends who all received sports scholarships. krieger actually has a full ride, because he is a star in two different sports. use the clues to determine each person?s full name. 1. hicks and russ play on the same men?s volleyball team. 2. drake and braun have both set women?s records in swimming. 3. stephanie and drake both went to the same high school.
Russ Krieger, Don Hicks, Pamela Drake, and Stephanie Braun are the four friends who received sports scholarships. Krieger has a full ride as a star in two different sports.
Based on the given clues, we can deduce the full names of the four friends who received sports scholarships.
From clue 1, we know that Hicks and Russ play on the same men's volleyball team. Therefore, one of the friends must be Don Hicks.
From clue 2, we learn that Drake and Braun have both set women's records in swimming. Therefore, one of the friends must be Stephanie Braun.
From clue 3, it is stated that Stephanie and Drake went to the same high school. Combining this information with clue 2, we can conclude that Pamela Drake is the full name of one of the friends.
Lastly, we know that Krieger has a full ride because he is a star in two different sports. Since the other three friends have been assigned their full names, it follows that Russ Krieger is the remaining friend.
In summary, the four friends who received sports scholarships and their full names are: Russ Krieger, Don Hicks, Pamela Drake, and Stephanie Braun.
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The full names of the friends based on the provided clues are Russ Hicks, Pamela Drake, Stephanie Braun, and Don Krieger.
Explanation:The question involves a puzzle which requires using deduction and logical thinking skills to solve, typically found in mathematics problems.
Based on the clues provided:
Since Hicks and Russ play on the same men's volleyball team, this means Russ's last name must be Hicks. Hence, Russ is Russ Hicks.Stephanie and Drake both went to the same high school. Given Drake is a woman who has set records in swimming, this means Pamela must be Drake, as the name Pamela matches the female gender. Hence, Pamela is Pamela Drake.Drake and Braun have both set women's records in swimming. This clearifies that Stephanie's surname is Braun. Hence, Stephanie is Stephanie Braun.The last woman remaining is Don and she must be Don Krieger (since Krieger has a full ride scholarship for being a star in two sports).Thus, the full names of the friends are Russ Hicks, Pamela Drake, Stephanie Braun, and Don Krieger.
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What additional piece of information do you need to prove that ALKN-AKNM by the SAS similarity theorem?
A. MN=1/2
B.MN=1
C. MN/LK||MN
D. LN=2/5
The additional piece of information needed to prove that ΔLKN ~ ΔKNM by the SAS similarity theorem is option C, MN/LK||MN.
What is SAS (Side-Angle-Side) similarity theorem?The SAS (Side-Angle-Side) similarity theorem states that if two triangles have two pairs of corresponding sides that are in proportion, and the included angles are congruent, then the triangles are similar.
In this case, we know that ΔLKN and ΔKNM share the angle at vertex K, and we also know that LN/MN and LK/KN are in proportion.
However, we need to establish that MN/LK||MN, which means that MN is parallel to LK and forms a transversal with LN.
This information is necessary to establish that the included angles between the corresponding sides are congruent, which is required for the triangles to be similar.
Therefore, option C is the correct additional piece of information needed to prove that ΔLKN ~ ΔKNM by the SAS similarity theorem.
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y=x +1. what is y and x and then the (x, y) thing and the slope and the y intercept
Answer:
Your answer is
From the equation : y=x+1
slope is 1 y intercept is 1
(x,y)= ( 1,2),(3,4)...........................(Infinity -1,Infinity)
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what is 56 out of 79 as a percentage to 1 decimal point
Answer:
70.9%
Step-by-step explanation:
"56 out of 79" can be written as (56/79). This is equal to a decimal value of 0.708861, or a percentage of 70.8861%. Round to 1 decimal point to give 70.9%.
1) Pansy Meadows Primary Care Clinic provides routine diagnostic and treatment services for common illnesses. Assume they see 1000 patients per month for office visits. (We have not looked at data in this way in class. Think about what it is telling you and try to logic your way through it.) A) What is Pansy Meadow Primary Care Clinic's total revenue per month? B) Assume that PMPCC's fixed costs are \$25000 per month and their variable costs are S10 per office visit. What is their monthly profit (loss)? C) What would happen to your profitability of the commercial insurance company changed their reimbursement rate to $65? D) What if the Commercially Insured Patients were all covered by a capitated contract. Instead of being reimbursed per service, (this is not changing the total number of office visits PMPCC treats), they are paid by the commercial insurance company \$2 PMPM to be available to provide services. i. What are PMPCC's monthly revenue ii. What is PMPCC's monthly profit/loss?
A) Pansy Meadows Primary Care Clinic's total revenue per month is $10,000. B) The clinic's monthly profit is a loss of $15,000. C) if the commercial insurance company changes the reimbursement rate to $65, the monthly profit would be $30,000. D) if all commercially insured patients are covered by a capitated contract, the monthly profit would be a loss of $33,000.
To calculate the clinic's total revenue, monthly profit/loss, and the impact of changes in reimbursement rates, we'll use the given information and perform the necessary calculations.
Given:
Number of office visits per month = 1000
Fixed costs = $25,000 per month
Variable costs per office visit = $10
A) Total revenue per month:
Revenue per office visit = $10 (variable cost per visit)
Total revenue per month = Revenue per office visit * Number of office visits per month
Total revenue per month = $10 * 1000
Total revenue per month = $10,000
Therefore, Pansy Meadows Primary Care Clinic's total revenue per month is $10,000.
B) Monthly profit (loss):
Profit (loss) = Total revenue per month - Fixed costs - (Variable costs per office visit * Number of office visits per month)
Profit (loss) = $10,000 - $25,000 - ($10 * 1000)
Profit (loss) = -$15,000
Therefore, the clinic's monthly profit is a loss of $15,000.
C) Impact of changing the commercial insurance reimbursement rate to $65:
To determine the impact on profitability, we need to recalculate the monthly profit using the new reimbursement rate.
New total revenue per month = $65 * 1000 = $65,000
Profit (loss) = New total revenue per month - Fixed costs - (Variable costs per office visit * Number of office visits per month)
Profit (loss) = $65,000 - $25,000 - ($10 * 1000)
Profit (loss) = $30,000
Therefore, if the commercial insurance company changes the reimbursement rate to $65, the monthly profit would be $30,000.
D) Impact of all commercially insured patients being covered by a capitated contract:
i. Monthly revenue:
Revenue per patient per month = $2 (capitated payment per patient)
Monthly revenue = Revenue per patient per month * Number of office visits per month
Monthly revenue = $2 * 1000
Monthly revenue = $2,000
ii. Monthly profit/loss:
Profit (loss) = Monthly revenue - Fixed costs - (Variable costs per office visit * Number of office visits per month)
Profit (loss) = $2,000 - $25,000 - ($10 * 1000)
Profit (loss) = -$33,000
Therefore, if all commercially insured patients are covered by a capitated contract, the monthly profit would be a loss of $33,000.
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Trevor paid a total of $1.08 in fines for an overdue library book. If the penalty for overdue books is $0.09 per day, how many days late was the book?
2 days
8 days
12 days
20 days
Answer:
12
Step-by-step explanation:
You have to divide the total by the number per day to solve this problem.
1.08/0.09=12
a circle with a radius 4 cm long is centered at an angle's vertex, and the angle's rays subtend an arc length of 16 cm along the circle. the subtended arc is how many times as long as the circle's radius?
the subtended arc is 4 times as long as the circle's radius of the circle is 4 cm and length of the arc length is 16cm .
what is circle ?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from the center. The line of reflection symmetry is formed by each line that traverses the circle. Additionally, it possesses rotational symmetry around the center for each angle.
calculation
length of an arc = (θ/2\(\pi\)) × 2\(\pi\)r
So that
length of an arc = θr
16 = 4θ
⇒ θ = 4
∴ length of an arc = 4r
The subtended arc is 4 times longer than the radius.
ii. Angle A, subtended by an arc, θ= length of arc / radius
⇒ θ = 16 /4
= 4 rad
Angle A, subtended by the arc is 4 rad.
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a. Name four other tractions shown here that are equivalent to 9/12
Answer:
3/4 75/100 12/16 24/32
Step-by-step explanation:
9/12 is the equivalent of 75% and fractions that express the same proportions.
write a story context for 5/6 divided by 1/12
Answer:
There is a school with an area of 5/6 (the school is a rectangle)one side is 1/12 what is the length of the other side.
Step-by-step explanation: