Answers
The probability of either events A or B occurring is determined as 0.89.
What is the probability of either even occurring?The probability of either events occurring is calculated by applying the following formula as shown below;
P (A or B ) = P ( A ) + P ( B )
The probability of A is calculated as follows;
P ( A ) = A / total outcome
P ( A ) = ( 20 ) / ( 20 + 12 + 4 )
P ( A ) = ( 20 ) / ( 36 )
P ( A ) = 5/9
The probability of B is calculated as follows;
P ( B ) = B / total outcome
P ( B ) = 12 / 36
P ( B ) = 1/3
The probability of either A or B is calculated as follows;
P (A or B) = 5/9 + 1/3
P (A or B) = 8/9 = 0.89
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Related Questions
I already tried 21 and that was incorrect
Answers
2x = (x + 1) + 20
2x= x+ 1 + 20
Subtract x from both sides,
2x - x= 21
x = 21
Largest number = x + 2
= 21+ 2
= 23
Answer:
23
Step-by-step explanation:
An integer is a whole number that can be positive, negative, or zero, without any fractional or decimal parts.
The given expressions for three consecutive integers are:
x(x + 1)(x + 2)Give that twice the first number is 20 more than the second:
[tex]2x = (x + 1) + 20[/tex]
Solve this equation for x:
[tex]\begin{aligned}2x &= (x + 1) + 20\\2x&=x+1+20\\2x&=x+21\\2x-x&=x+21-x\\x&=21\end{aligned}[/tex]
The expression for the largest integer is (x + 2).
Therefore, to find the largest number, substitute the found value of x into this expression:
[tex]\begin{aligned}\sf Largest\;number&=(x+2)\\&=21+2\\&=23\end{aligned}[/tex]
Therefore, the largest number is 23.
solve the simultaneous equations
2x + 5y = -4
Answers
The solution to the system of equations is x = 2 and y = -1.
To solve the system of equations:
2x - 5y = 9 ...(1)
3x + 4y = 2 ...(2)
Multiplying equation (1) by 4 and equation (2) by 5, we can eliminate the variable 'y':
8x - 20y = 36 ...(3)
15x + 20y = 10 ...(4)
Adding equation (3) and equation (4), the 'y' terms cancel out:
(8x - 20y) + (15x + 20y) = 36 + 10
23x = 46
Dividing both sides of the equation by 23, we find:
x = 2
Plugging the value of 'x'
2(2) - 5y = 9
4 - 5y = 9
Subtracting 4 from both sides of the equation:
-5y = 9 - 4
-5y = 5
y = -1
Therefore, the solution to the system of equations is x = 2 and y = -1.
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Find the area of each sector.
16) r= 16 mi, 0 = 150°
25m
3
mi²
40T
3
mi²
67 mi²
A
170065
Answers
To find the area of a sector, you can use the formula:
Area of Sector = (θ/360) * π * r^2
where θ is the central angle in degrees, r is the radius, and π is a mathematical constant approximately equal to 3.14159.
Let's calculate the areas for the given sectors:
r = 16 mi, θ = 150°
Area of Sector = (150/360) * π * (16 mi)^2
= (5/12) * π * 256 mi^2
≈ 334.930 mi^2
Therefore, the area of sector 16 is approximately 334.930 square miles.
3
[tex]3 \sqrt{81} [/tex]
what's the answer
Answers
Answer will be 27.
Given,
3√81
Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.
For example, squares of
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81
10² = 100
Square roots,
√100 = 10
√81 = 9
√64 = 8
√49 = 7
√36 = 6
√25 = 5
√16 = 4
√9 = 3
√4 = 2
√1 = 1
Now ,
3√81 = 3× 9
= 27.
Thus the value is 27.
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Alice was provided with the following trinomial: 3x² + 7x-12x - 34 - 2x² + 10 1 Provide Alice with a step-by-step guide on how to factorize the algebraic expression.
Answers
Hello!
[tex]3x^{2} + 7x-12x - 34 - 2x^{2} + 10\\\\3x^{2}- 2x^{2} + 7x-12x - 34 + 10\\\\x^{2} - 5x - 24\\\\x^{2} + 3x - 8x - 24\\\\(x^{2} + 3x) + (-8x - 24)\\\\x(x + 3) - 8(x + 3)\\\\\boxed{(x - 8)(x+3)}[/tex]
What are the approximate coordinates in the rectangular plane that represent the polar coordinates (4, 110 degrees).? Round values to the nearest thousandth.
A.(3.759, –1.368)
B.(–3.996, –0.177)
C.(–1.368, 3.759)
D.(–0.342, 0.940)
Answers
During a normal day, there are 782 passengers in average that
are late for their plane each day. However, during the
Christmas holidays, there are 1,835 passengers that are late for
their planes each day which caused delays of 14 planes. How
many more passengers are late for their planes in each day
during the Christmas holidays?
i picked 4th grade lol
Answers
During the Christmas holidays, there are 1,053 more passengers who are late for their planes each day compared to a normal day.
To solve this problemCalculating the difference between the quantity of late passengers on a typical day and the quantity of late passengers on holidays is necessary.
1,835 travellers were late over the Christmas break.
On an average day, there are 782 travelers who are late.
Difference = Number of late passengers during the Christmas holidays - Number of late passengers on a normal day
Difference = 1,835 - 782
Difference = 1,053
Therefore, during the Christmas holidays, there are 1,053 more passengers who are late for their planes each day compared to a normal day.
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Answer:
Step-by-step explanation:
During the Christmas holidays, there is an increase of 1,053 passengers who are late for their planes each day compared to the average daily number of 782 passengers who are late. This surge in late passengers during the holiday period contributes to delays in 14 planes.
The higher volume of travelers, combined with potential factors like weather conditions, congestion, and heightened travel demand, likely leads to a greater number of individuals encountering delays and difficulties reaching their departure gates on time.
Hope it helps! :)
PLSSS FIND BOTH x’s THANK YOUUU
Answers
Hello!
Solutions = -3 and 1.5
Original price: $82
Discount: 10%
Sale price: ?
Answers
Answer:
$81.18
Step-by-step explanation:
Sale Price = Original Price - (Original Price * Discount Percentage)
Given:
Original Price = $82
Discount Percentage = 10%
Let's calculate the sale price:
Sale Price = $82 - ($82 * 10%)
Sale Price = $82 - ($82 * 0.1)
To simplify the calculation, we can convert 10% to its decimal form by dividing by 100:
Sale Price = $82 - ($82 * 0.1)
Sale Price = $82 - ($82 * 0.01)
Sale Price = $82 - $0.82
Using a calculator, we can find the value:
Sale Price = $81.18
Therefore, the sale price after a 10% discount would be $81.18.
Answer: $73.80 is sale price
Step-by-step explanation:
Original: $82
10% of 82
=.1(82)
=8.2 >this is your discount
Subtract
82-8.2
$73.80 is sale price
Use the binomial theorem to find the expansion of ( x - y + z)^3
Answers
(x - y + z)^3 = C(3,0)x^3 + C(3,1)x^2(-y) + C(3,2)x(-y)^2 + C(3,3)(-y)^3 + C(3,0)x^2z + C(3,1)x(-y)z + C(3,2)(-y)^2z + C(3,0)xz^2 + C(3,1)(-y)z^2 + C(3,0)z^3
where C(n,k) is the binomial coefficient, given by:
C(n,k) = n! / (k! * (n-k)!)
Substituting the values, we get:
(x - y + z)^3 = 1x^3 - 3x^2y + 3xy^2 - 1y^3 + 3x^2z - 6xyz + 3y^2z + 3xz^2 - 3yz^2 + 1z^3
Therefore, the expansion of (x - y + z)^3 using the binomial theorem is:
x^3 - 3x^2y + 3xy^2 - y^3 + 3x^2z - 6xyz + 3y^2z + 3xz^2 - 3yz^2 + z^3.
Mahavira wrote in detail about the idea of zero. What special characteristic did he share with Paul McCartney?
Answers
What is the sale price of a pillow originally priced at 12 dollars
Answers
The sale price of a pillow originally priced at 12 dollars is given as follows:
$9.
How to obtain the sale price?The sale price of a pillow originally priced at 12 dollars is obtained applying the proportions in the context of the problem.
The original price is given as follows:
$12.
The markdown rate for this problem is given as follows:
25%.
Hence the sale price of a pillow originally priced at 12 dollars is given as follows:
0.75 x 12 = $9.
(markdown of 25% means that 75% of the price is paid).
Missing InformationThe complete problem is:
"A pillow was marked down at 25%. What is the sale price of a pillow originally priced at 12 dollars?"
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Assume lines n and m are parallel. If μ(∠)1=147°
, find the following angle measures. (Type each answer as a number, in the corresponding blank below.)
Answers
The angle measures of the numbered angles from <1- 8 would be listed below as follows:
<1=147°
<2= 33°
<3= 147°
<4=33°
<5=33°
<6=147°
<7=33°
<8=147°
How to determine the measures of the missing angles?When two parallel lines a crossed by a transverse line then the following occurs:
the pair of corresponding angles is equal. That is <2=<4the pair of interior alternate angles is equal. That is; <6=<3 and <2=<7the pair of exterior alternate angles is equal. That is;<1=<8,<5=<4interior angles on the same side of transversal are supplementary.That is; <2+<3=180°Learn more about parallel lines here:
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All else being equal, if you cut the sample size in half, how does this affect the margin of error when using the sam
to make a statistical inference about the mean of the normally distributed population from which it was drawn?
ME-
Z.S
O The margin of error is multiplied by √0.5.
O The margin of error is multiplied by √√2-
O The margin of error is multiplied by 0.5.
O The margin of error is multiplied by 2.
Answers
Answer:
When you cut the sample size in half while making a statistical inference about the mean of a normally distributed population, the effect on the margin of error depends on the relationship between the sample size and the margin of error. Generally, the margin of error is inversely proportional to the square root of the sample size.
So, if you reduce the sample size by half, it means you are taking a smaller sample, which will result in a larger margin of error. In other words, the margin of error is multiplied by a factor greater than 1.
Among the given options, the correct answer is:
D. The margin of error is multiplied by 2.
This option correctly reflects the relationship between reducing the sample size by half and the resulting increase in the margin of error.
Megan has two books that each have dimensions of 12 inches x 6 inches x 2 inches. What is the volume, in cubic inches, of Megan's two books?
Answers
Answer:
288in³
Step-by-step explanation:
volume for one = 12 X 6 X 2 = 144.
for two books, it is 2 X 144 = 288in³
Ki must travel to Atlanta to meet a client. She is starting from Memphis at
5:30 am. She gets to Atlanta at 3:00 pm. The total distance she traveled 391
miles. How fast did Ki travel if she kept a steady speed with no stop?
Answers
Ki traveled at an average speed of approximately 41.05 miles per hour without any stops.
To calculate the average speed at which Ki traveled from Memphis to Atlanta, we can use the formula:
Average Speed = Total Distance / Total Time
First, let's calculate the total time taken for the journey. Ki started from Memphis at 5:30 am and arrived in Atlanta at 3:00 pm, which is a total of 9.5 hours.
Next, we divide the total distance traveled, which is 391 miles, by the total time taken, which is 9.5 hours:
Average Speed = 391 miles / 9.5 hours
Calculating this, we find that Ki's average speed was approximately:
Average Speed ≈ 41.05 miles per hour
Therefore, Ki traveled at an average speed of approximately 41.05 miles per hour without any stops.
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1.2 If Erin had 150m/ of buttermilk and recipe require 0.25 cups of buttermilk, would Erin have enough buttermilk for the recipe (2) 1.3 A cake recipe calls for 0.8 kg of flower, 650g of sugar and 900 000mg of butter. 1.3.1 Determine the total mass of the ingredients. Give you answer in kilograms. (2) 1.3.2 If sugar comes in 150g bags at cost of R5.95 per 150g, determine the total cost of the (2) sugar needed for this recipe.
Answers
If Erin had 150m/ of buttermilk and recipe require 0.25 cups of buttermilk, she has more than the required amount, so she has sufficient buttermilk for the recipe.
1.2 To determine if Erin has enough buttermilk for the recipe, we need to convert the given quantities to a common unit.
150 ml of buttermilk is equivalent to 0.15 liters (since 1 liter = 1000 ml).
Now, let's convert 0.25 cups to liters. Since 1 cup is approximately 0.2366 liters, we have:
0.25 cups ≈ 0.25 * 0.2366 liters = 0.05915 liters.
Comparing the amount of buttermilk Erin has (0.15 liters) with the amount required by the recipe (0.05915 liters), we can see that Erin has enough buttermilk. She has more than the required amount, so she has sufficient buttermilk for the recipe.
1.3.1 To determine the total mass of the ingredients, we need to convert the given quantities to a common unit, kilograms.
0.8 kg of flour is already in kilograms.
650 g of sugar is equivalent to 0.65 kg (since 1 kg = 1000 g).
900,000 mg of butter is equivalent to 900 g (since 1 g = 1000 mg), which is 0.9 kg.
Adding up the masses of the ingredients:
0.8 kg (flour) + 0.65 kg (sugar) + 0.9 kg (butter) = 2.35 kg.
Therefore, the total mass of the ingredients is 2.35 kilograms.
1.3.2 If sugar comes in 150 g bags at a cost of R5.95 per 150 g, we can calculate the total cost of the sugar needed for the recipe.
The recipe requires 650 g of sugar. Since each bag contains 150 g of sugar, we divide the required amount by 150 g:
650 g / 150 g = 4.3333 bags.
Since we cannot purchase a fraction of a bag, we need to round up to the nearest whole number. So, we'll need to buy 5 bags of sugar.
The total cost of the sugar is calculated by multiplying the number of bags by the cost per bag:
5 bags * 5.95 per bag = 29.75.
Therefore, the total cost of the sugar needed for the recipe is 29.75.
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can you please explain this in detail, there is a similar question to this on my test, the other two options are 250° or 270°
Answers
The arc angle WVY in the circle is 250 degrees.
How to find the arc angle?The theorem of intersecting tangent angles states that the measure of the angle formed by two tangents that intersect at a point outside a circle is equal to one-half the positive difference of the measures of the intercepted arcs.
Therefore, let's use this theorem to find the arc angle WVY.
Hence,
70 = 1 / 2 (10a - (4a + 10))
70 = 1 / 2 (6a - 10)
70 = 3a - 5
70 + 5 = 3a
3a = 75
divide both sides of the equation by 3
a = 75 / 3
a = 25
Therefore,
arc angle WVY = 10(25)
arc angle WVY = 250 degrees
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An employee started a new job and must enroll in a new family health insurance plan. One of the plans involves prescription drug coverage. The employee estimates that the entire family will fill 10 prescriptions per month, totaling $1,250. The employee has two options to choose from:
Option A: $94 monthly premium; 80% coverage for all prescription costs
Option B: $42 monthly premium; 75% coverage for first $500 in prescription costs, then 85% coverage for all prescription costs over $500
Which option would result in the highest overall cost for the employee, and by how much?
A) Option A has the highest overall cost by $64.50.
B)Option B has the highest overall cost by $64.50.
C) Option A has the highest overall cost by $106.50.
D) Option B has the highest overall cost by $106.50.
Answers
Option B has the highest overall cost by $64.50.
To determine the option that would result in the highest overall cost for the employee
we need to compare the costs of both options based on the estimated prescription drug expenses.
Option A:
Monthly premium: $94
Prescription coverage: 80%
Option B:
Monthly premium: $42
Prescription coverage: 75% for the first $500, 85% for costs over $500
Let's calculate the costs for each option:
Option A:
Total prescription drug cost: $1,250
Employee's share (20%): 20% × $1,250 = $250
Monthly premium: $94
Total cost for Option A: $250 + $94 = $344
Option B:
Total prescription drug cost: $1,250
Employee's share for the first $500 (25%): 25% × $500 = $125
Employee's share for costs over $500 (15%): 15% × ($1,250 - $500) = $112.50
Monthly premium: $42
Total cost for Option B: $125 + $112.50 + $42 = $279.50
Comparing the total costs for each option, we see that Option B has a lower overall cost for the employee.
Hence, Option B has the highest overall cost by $64.50.
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Eliza took a friend for a birthday dinner. The total bill for dinner was $32.22 (including tax and a tip). If Eliza paid a 19.3% tip, what was her bill before adding the tip? (Round your answer to the nearest cent.)
Answers
Answer:
$27.01
Step-by-step explanation:
100% + 19.3% = 119.3%.
$32.22 = 119.3%
divide both sides by 119.3:
(32220/1193) = 1
multiply by 100 to get 100% ie the bill before the tip:
$27.01 = 100%
$27.01 is bill to nearest cent
1-Decide whether each set of events is independent or dependent. Explain your answer.
picking a black checker from a bag of 9 black checkers and 6 red checkers, replacing it, and picking a red checker
Answers
Answer:
Step-by-step explanation:
9 is dependent 6 is independent
What is a cash cycle? explain. calculate using the following information. (assume 360 days in a year). opening balances raw material 1,00,000 wip 45,000 finishes goods 1,35,000 debtors 6,00,000 creditors 8,60,000 closing balances raw material 2,00,000 wip 65,000 finishes goods 1,25,000 debtors 5,45,000 creditors 9,75,000 costs incurred during the year manufacturing costs 11,60,000 excise duty 18,80,000 selling and distribution expenses 6,20,000 admin. overheads 2,00,000 total sales 2,01,96,800 total purchases 1,46,00,000 40% of sales are on credit and 70% of purchases are on credit
Answers
The cash cycle, also known as the operating cycle or cash conversion cycle, is a financial metric that measures the time it takes for a company to convert its investments in inventory and other resources into cash flow from sales. It provides insight into the efficiency of a company's working capital management.
The cash cycle can be calculated using the following formula:
Cash Cycle = Inventory Conversion Period + Receivables Conversion Period - Payables Conversion Period
1. Inventory Conversion Period (ICP):
ICP measures the average number of days it takes for the company to convert its raw materials into finished goods. It is calculated as:
ICP = (Average Inventory / Cost of Goods Sold) x Number of Days in a Year
Average Inventory = (Opening Inventory + Closing Inventory) / 2
Cost of Goods Sold = Total Sales - Closing Inventory
2. Receivables Conversion Period (RCP):
RCP measures the average number of days it takes for the company to collect payment from its customers. It is calculated as:
RCP = (Average Receivables / Total Sales) x Number of Days in a Year
Average Receivables = (Opening Receivables + Closing Receivables) / 2
Opening Receivables = Total Sales x Percentage of Sales on Credit
Closing Receivables = Total Sales x Percentage of Sales on Credit - Collections
3. Payables Conversion Period (PCP):
PCP measures the average number of days it takes for the company to pay its suppliers. It is calculated as:
PCP = (Average Payables / Total Purchases) x Number of Days in a Year
Average Payables = (Opening Payables + Closing Payables) / 2
Opening Payables = Total Purchases x Percentage of Purchases on Credit
Closing Payables = Total Purchases x Percentage of Purchases on Credit - Payments
Now, let's calculate the cash cycle using the provided information:
Given data:
Opening balances:
Raw material: ₹1,00,000
WIP: ₹45,000
Finished goods: ₹1,35,000
Debtors: ₹6,00,000
Creditors: ₹8,60,000
Closing balances:
Raw material: ₹2,00,000
WIP: ₹65,000
Finished goods: ₹1,25,000
Debtors: ₹5,45,000
Creditors: ₹9,75,000
Costs incurred during the year:
Manufacturing costs: ₹11,60,000
Excise duty: ₹18,80,000
Selling and distribution expenses: ₹6,20,000
Admin. overheads: ₹2,00,000
Total sales: ₹2,01,96,800
Total purchases: ₹1,46,00,000
Percentage of sales on credit: 40%
Percentage of purchases on credit: 70%
1. Calculate the Inventory Conversion Period (ICP):
Average Inventory = (Opening Inventory + Closing Inventory) / 2
Opening Inventory = Raw Material + WIP + Finished Goods
Closing Inventory = Raw Material + WIP + Finished Goods
Opening Inventory = ₹1,00,000 + ₹45,000 + ₹1,35,000 = ₹2,80,000
Closing Inventory = ₹2,00,000 + ₹65,000 + ₹1,25,000 = ₹3,90,000
Average Inventory = (₹2,80,000 + ₹3,90,000) / 2 = ₹3,35,000
Cost of Goods Sold = Total Sales - Closing Inventory
Cost of Goods Sold = ₹2,01,96,800 -
12 out of 50 girls like shoes. what % of girls like shoes
Answers
HELP PLEASE! MARKING AS BRAINLIST
Answers
Hello!
Event A:
is a 5 or 6 = 2 numbers on 6 = 2/6 = 1/3
EventB:
is not a 1 = 2,3,4,5,6 = 5/6
P(A and B) = 1/3 x 5/6 = 1x5/3x6 = 5/18 ≈ 0.28
The answer is 0.28.
Please Refer to the Images
Answers
For the expression [tex]x^2^/^4x^3^/^6[/tex] the value of exponent of x is 1.
8ab²√5a is the simplified form of the expression 4√20a³b⁴ .
The given expression is [tex]x^2^/^4x^3^/^6[/tex]
x is the variable in the expression.
We know that when bases are same in the product then the powers will be added.
[tex]x^1^/^2^+^1^/^2[/tex]
When 1/2 and 1/2 are added we get 1.
So the value of r is 1.
Now 4√20a³b⁴ is the expression.
4√4×5a².a.b².b²
4.2.ab²√5a
8ab²√5a is the simplified form of the expression.
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point H is between G and I and GI=50. Use postulate to slove for x.
GH= 4x - 6
HI= 2x + 2
Answers
The value of x is equal to 4 units.
How to determine the midpoint of a line segment?In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).
Since H is the midpoint of line segment GI, we can logically deduce the following relationship:
Line segment GI = Line segment GH + Line segment HI
Line segment GH = Line segment HI
By substituting the given line segments into the equation above, we have the following:
4x - 6 = 2x + 2
4x - 2x = 6 + 2
2x = 8
x = 8/2
x = 4 units.
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Name the highlighted arc.
S
E
D
0
P
Answers
Answer:
View explanation
Step-by-step explanation:
The highlighted arc from D to O
c. Ultimate angles are equal d. Both (b) & (C) 92. Two years ago father was 3 times as old as his son and 2 years later twice his age will be five times of his son. Find their present ages. a. 14yrs, 36yrs b. 12yrs, 36yrs c. 14yrs, 36yrs d. 14yrs, 38yrs
Answers
Their present ages are Option d. 14yrs, 38yrs
How to determine the valueNote that algebraic expressions are described as expressions that are made up of terms, variables, constants, factors and coefficients
From the information given, we have that;
Let son's age = x
Two years ago son's age= x-2.
His Father's age at that time = 3(x-2).
Present age of Father = 3x-6+2
collect like terms, we have that;
Present age of father =3x-4
Two years hence father's age=3x-4+2=3x-2.
Two years hence son's age = x+2.
Given that;
-5×(x+2)=2 ×(3x-2)
expand the bracket, we get;
5x + 10= 6x - 4
collect like terms
10+4=6x-5x
14=x
Son's age= 14 years.
Father's age: 38 years.
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What value of x and y will make quadrilateral KLMN a parallelogram?
x + 3y
5y
2(x + y - 1)
H
11
and y =
20
Answers
Answer:
x = 6 , y = 4
Step-by-step explanation:
for the figure to be a parallelogram , the opposite sides must be congruent, that is
5y = 20 ( divide both sides by 5 )
y = 4
and
2(x + y - 1) = x + 3y ← distribute parenthesis on left side by 2
2x + 2y - 2 = x + 3y ← substitute y = 4
2x + 2(4) - 2 = x + 3(4)
2x + 8 - 2 = x + 12
2x + 6 = x + 12 ( subtract x from both sides )
x + 6 = 12 ( subtract 6 from both sides )
x = 6
What is the meaning of "an n-ary relation R is a set of n-tuples"?
Answers
The statement "an n-ary relation R is a set of n-tuples" refers to a mathematical concept in which an n-ary relation R is defined as a collection or set of n-tuples.
What is the meaning of "an n-ary relation R is a set of n-tuples"?In this context, an n-ary relation refers to a relationship or connection between n elements or entities. It represents a logical association between these elements based on certain criteria or conditions.
An n-tuple, on the other hand, is an ordered sequence or collection of n elements, where the order and position of each element in the sequence are important.
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