In the context of data-flow diagrams (DFDs), a(n) option a. data-flow line shows either the source or destination of the data.
In data-flow diagrams (DFDs), an entity symbol represents an external agent or entity that interacts with the system being modeled. It could be a person, organization, or system that sends or receives data from the system being modeled. An entity symbol is represented as a rectangle with its name written inside it. It shows either the source or destination of the data in the DFD. An example of an entity symbol in a DFD could be a customer who provides orders to a company, or a supplier who delivers goods to a company. The entity symbol helps to illustrate the flow of data between external entities and the system being modeled.
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Rewrite as equivalent rational expressions with denominator (3m−4)(m+8)(m−7):
63m2+20m−32,3m3m2−25m+28
The first rational expression is 63m²+20m−32. To rewrite this with a common denominator of (3m−4)(m+8)(m−7), first we need to find the LCD (Lowest Common Denominator) of both terms. So, we need to multiply each numerator and denominator of the first rational expression by (3m−4)(m+8)(m−7).
In the numerator, we need to multiply 63m² by (3m−4)(m+8)(m−7):
63m² × (3m−4)(m+8)(m−7) = 63m³ - 224m² + 784m - 504
In the denominator, we need to multiply 1 by (3m−4)(m+8)(m−7):
1 × (3m−4)(m+8)(m−7) = 3m³ - 12m² + 24m - 16
Therefore, the rewritten rational expression is:
63m³ - 224m² + 784m - 504/3m³ - 12m² + 24m - 16
The second rational expression is 3m³m²−25m+28. To rewrite this with a common denominator of (3m−4)(m+8)(m−7), we first need to find
Covert, how many lb. If = 3,200 oz
Answer:
200 lbs.
Step-by-step explanation:
Divide mass value by 16 to convert oz to lbs.
3,200/16=200
find the area of a circle with a circumference of 50.24 50.24start color #11accd, 50, point, 24, end color #11accd units.
Answer:
Step-by-step explanation:
The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle. Solving for the radius, we have:
r = C/(2π) = 50.24/(2π) ≈ 8
So the radius of the circle is approximately 8 units.
The formula for the area of a circle is A = πr^2, so we have:
A = π(8)^2 = 64π ≈ 201.06
Therefore, the area of the circle is approximately 201.06 square units.
At Snobby Girls School, 65% of the girls are Clothes Ponies (C), 50% are Makeup Missies (M) and 30% are both. A girl from SCS is
chosen at random.
a) What is the probability she is a C?
b) What is the probability she is an M?
c) What is the probability she is both a C and an M?
d) If the chosen girl is an M, what is the probability she is also a C?
e) Are the two events C and M independent? Why or why not?
In response to the stated question, we may respond that Given that she is an M, the probability that the chosen female is both a M and a C is 0.6.
What is probability?Probabilistic theory is a branch of mathematics that calculates the likelihood of an event or proposition occurring or being true. A risk is a number between 0 and 1, with 1 indicating certainty and a probability of around 0 indicating how probable an event appears to be to occur. Probability is a mathematical term for the likelihood or likelihood that a certain event will occur. Probabilities can also be expressed as numbers ranging from 0 to 1 or as percentages ranging from 0% to 100%. In relation to all other outcomes, the ratio of occurrences among equally likely alternatives that result in a certain event.
a) The girl has a 0.65 chance of being a Clothes Pony (C).
b) The girl has a 50% chance of being a Makeup Missie (M).
c) The girl has a 0.30 chance of being both a Clothing Pony and a Makeup Missie.
d) Using the conditional probability formula, we can calculate the likelihood that the chosen female is both a M and a C provided that she is a M:
P(C|M) = P(C and M) divided by P (M)
Part (c) tells us that P(C and M) = 0.30, while Part (b) tells us that P(M) = 0.50. Therefore:
P(C|M) = 0.30 / 0.50 = 0.6
Given that she is an M, the likelihood that the chosen female is both a M and a C is 0.6.
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Which of the following products is defined?
GH
FE
EH
FG
All of the above are undefined
Using matrices, we can find that the products of EH and FG are defined, the rest does not satisfy.
Define matrix?A matrix is a rectangular array of values that are defined for mathematical operations including addition, subtraction, and multiplication.
The quantity of rows and columns in a matrix—also referred to as the order of the matrix—determines its size. A 6 4 symbol and 6 by 4 reading are used to symbolise and denote the order of a matrix having 6 rows and 4 columns.
Here in the question,
When the matrices, E and H are multiplied, the resulting matrix is a defined matrix.
Similarly, we can see when F and G are multiplied, the resulting matrix is a defined matrix.
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select which function has the greatest value at each of the given x-values.
In which three statements below will the number 8 correctly fill
in the blank?
the correct options are A), B), and E).
why it is and what is Gallon?
A) 2 quarts = 8 cups
B) 8 cm = 80mm
E) 96 inches = 8 feet
The number 8 cannot correctly fill in the blank for statements C and D.
C) 1 gallon = 16 cups, so 4 gallons = 64 cups, not 8 cups.
D) 1 hour = 60 minutes, so 96 minutes = 1 hour and 36 minutes, not 8 hours.
Therefore, the correct answers are A), B), and E).
A gallon is a unit of measurement for volume commonly used in the United States and some other countries. There are two different sizes of gallons: the US gallon and the imperial gallon.
The US gallon is defined as exactly 3.785411784 liters, and is used for measuring liquids such as gasoline, milk, and other beverages.
The imperial gallon, which is used in the United Kingdom and some other countries, is defined as exactly 4.54609 liters.
In both cases, a gallon is typically divided into smaller units such as quarts, pints, and fluid ounces for measuring smaller amounts of liquid.
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Find the exact value of the series
Answer:
Step-by-step explanation:
[tex]\frac{30\sqrt{2^{4n-2} +2^{4n+1} } }{(3^{n} +3^{n+1} )^2} \\=\frac{30\sqrt{2^{4n} *2^{-2} +2^{4n} *2^{1} } }{3^{2n} (1+3^{1}) } \\=\frac{30*2^{2n} \sqrt{\frac{1}{2^{2} }+2 } }{4*3^{2n} } \\=\frac{30*2^{2n}*\frac{3}{2} }{4*3^{2n} } \\=\frac{45(2^{2} )^{n} }{4(3^{2} )^{n} } \\=\frac{45}{4} *(\frac{4}{9} )^{n} \\[/tex]
it is a G.P. with common ratio r=4/9 <1
[tex]s=\frac{a}{1-r} ,a=first~term\\s=\frac{\frac{45}{4} *(\frac{16}{81} )}{1-\frac{4}{9} } [by~n=2]\\s=\frac{20}{9} *\frac{9}{5} \\=4[/tex]
show that if we try to prove this inequality using mathematical induction, the basis step works, but the inductive step fails.
We show that at n = 1 the basis step works, but the inductive step fails.
Let consider the Inequality
[tex]\frac{1}{2}\cdot\frac{3}{4}\dots\dots\frac{2n-1}{2n} < \frac{1}{\sqrt{3n}}[/tex]
We must demonstrate that while the fundamental step of mathematical induction proves the aforementioned inequality, the inductive step does not.
Mathematical induction is a method of proof used in mathematics to prove that a statement is true for all natural numbers.
It involves proving that a statement holds true for a base case (typically zero or one), and then proving that, if it holds true for any given natural number, it must also hold true for the next natural number.
This process is repeated until the statement has been shown to be true for all natural numbers.
Basic Step: n = 1
1/2 < 1/√3, which is true.
Hence we proved that at n = 1 the basic steps of mathematical induction works.
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The complete question is:
Suppose that we want to prove that
[tex]\frac{1}{2}\cdot\frac{3}{4}\dots\dots\frac{2n-1}{2n} < \frac{1}{\sqrt{3n}}[/tex]
for all positive integers n.
Show that if we try to prove this inequality using mathematical induction, the basis step works, but the inductive step fails.
Use the equation f=d–5 to find the value of f when d=7.
Answer:
2
Step-by-step explanation:
since d=7 and the equation is d-5 in the place of d we'll put 7 therefore 7-5=2
The breadth of a rectangular playground is 5m shorter than its length. If its perimeter is 130m,find ids length and breadth.
Answer:
Length is 35 m and breadth is 30 mStep-by-step explanation:
Given,
The breadth of a rectangular playground is 5m shorter than its length.Perimeter is 130 mLet length be x and breadth (x - 5).
Perimeter of rectangle is calculated by :
[tex] \: \: \boxed{ \pmb{ \sf{Perimeter_{(rectangle)} = 2(l + b)}}} \\ [/tex]
On substituting the values we get :
[tex]\dashrightarrow \: \: 130 = 2(x + x - 5) \\ [/tex]
[tex]\dashrightarrow \: \: 130 = 2(2x - 5) \\ [/tex]
[tex]\dashrightarrow \: \dfrac{130}{2} = (2x - 5) \\ [/tex]
[tex]\dashrightarrow \: \: 65 = 2x - 5 \\ [/tex]
[tex]\dashrightarrow \: \: 65 + 5 = 2x \\ [/tex]
[tex]\dashrightarrow \: \: 70 = 2x \\ [/tex]
[tex]\dashrightarrow \: \: \frac{70}{2} = x \\ [/tex]
[tex]\dashrightarrow \: \: 35 = x \\ [/tex]
Hence,
Length = x = 35 m.Breadth = x -5 = (35 -5) = 30 mWhat is the quotient of 6 and x less than the product of 5 and y.
Answer:
(6/x) - (5y)
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which piece of required information is missing from the following prescription?premarin tabs0.625 mg
The given prescription lacks important information about the frequency and route of administration. Knowing how often a medication should be taken and how it should be administered is crucial for ensuring that patients receive the appropriate dose and achieve the desired therapeutic effect.
Without the frequency information of how (e.g., orally, intravenously, etc.) and when (e.g., daily, twice daily, etc.) to take medicine on prescription, patients may take the medication incorrectly or miss doses, potentially leading to ineffective treatment or adverse effects.
Healthcare providers should always provide clear and complete instructions for medication use to ensure patient safety and optimal treatment outcomes.
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You have been hired t0 design family-friendly see-saw. Your design will featurc uniform board (mass M , length L) that can be moved so that the pivot is distance d from the center of the board. This will allow riders t0 achieve static equilibrium even if they are of different mass_ as most people are _ You have decided that each rider will be positioned so that hishher center of mass will be distance Xoffset from the end of the board when seated as shown. You have selected child of mass m (shown on the right) , and an adult of mass times the mass of the child (shown On the left) to test out your prototype. (a) Derive an expression for the torque applied by the adult rider (on the left) in terms of given quantities and variables available in the palette. Assume counterclockwise is positive_ Xoffct Xottct (b) Derive an expression for the torque applied by the child rider (on the right) in terms of given quantities and variables available in the palette . Assume counterclockwise is positive. Derive an expression for the torque applied by the board in terms of given quantities and variables available in the palette_ Othcexpertta.COm Determine the distance d in terms of n, g and the masses and lengths in the problem. Determine the magnitude of the force exerted on the pivot point by the see-saw while in use in terms of given quantities and variables available in the palette'
Where F_pivot is the magnitude of the force exerted on the pivot point.
What are perpendicular lines?
Perpendicular lines are lines that intersect at a right angle (90 degrees). In other words, if you draw a line perpendicular to another line, the two lines will form four right angles at the point where they intersect.
(a) The torque applied by the adult rider (on the left) can be calculated as the product of the force applied by the rider and the perpendicular distance from the pivot to the force. Let F_a be the force applied by the adult rider and let r_a be the perpendicular distance from the pivot to the force. Then, the torque applied by the adult rider is:
τ_a = F_a * r_a
The perpendicular distance r_a can be calculated using the Pythagorean theorem:
r_a = sqrt((L/2 - d)^2 + Xoffset^2)
Therefore, the torque applied by the adult rider is:
τ_a = F_a * sqrt((L/2 - d)^2 + Xoffset^2)
(b) Similarly, the torque applied by the child rider (on the right) can be calculated as:
τ_c = F_c * sqrt((L/2 + d)^2 + Xoffset^2)
where F_c is the force applied by the child rider and r_c is the perpendicular distance from the pivot to the force, which can be calculated using the Pythagorean theorem.
(c) The torque applied by the board can be calculated as the sum of the torques applied by the two riders:
τ_b = τ_a + τ_c
Substituting the expressions for τ_a and τ_c, we get:
τ_b = F_a * sqrt((L/2 - d)^2 + Xoffset^2) + F_c * sqrt((L/2 + d)^2 + Xoffset^2)
(d) To determine the distance d in terms of given quantities and variables, we can use the condition for static equilibrium, which requires that the sum of the torques about the pivot point is zero:
τ_a + τ_c = 0
Substituting the expressions for τ_a and τ_c and simplifying, we get:
F_a * (L/2 - d) = F_c * (L/2 + d)
Solving for d, we get:
d = (F_a/F_c - 1) * L/4
Substituting F_a = Mg and F_c = mg, where M is the mass of the adult rider, m is the mass of the child rider, and g is the acceleration due to gravity, we get:
d = (M/m - 1) * L/4
(e) The magnitude of the force exerted on the pivot point by the see-saw while in use can be calculated using the condition for static equilibrium, which requires that the sum of the forces in the vertical direction is zero:
F_a + F_c = Mg + mg
Substituting F_a = Mg and F_c = mg, we get:
F_pivot = Mg + mg
Therefore, where F_pivot is the magnitude of the force exerted on the pivot point.
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Sanborn Inc. is a new manufacturing company founded on February 2, 2012. The company had to choose between the LIFO and FIFO methods for its inventory. Inventory costs were rising during 2012, so the company decided to use the LIFO method. Which of the following items would be decreased by the choice of LIFO (compared to what would have happened if they chose to use FIFO)? (check all that apply)
Answer:
Step-by-step explanation:
By choosing the LIFO method for inventory, the following items would be decreased (compared to what would have happened if they chose to use FIFO):
Net income
Taxes payable
Total assets
Owner's equity
This is because the LIFO method results in higher cost of goods sold and lower ending inventory, which in turn decreases net income and taxes payable. Lower ending inventory also decreases total assets and owner's equity.
The items that would be decreased by the choice of LIFO (compared to what would have happened if they chose to use FIFO) are Ending inventory and Net profit
What is the unitary method?
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that;
Inventory costs in 2012 were rising
Now,
LIFO stands for last-in, first-out, and FIFO stands for first-in, first-out. These are two ways of assigning costs to the units of inventory that you sell. FIFO assumes that you sell the oldest units first, while LIFO assumes that you sell the newest units first1.
The choice of LIFO or FIFO has implications on a company’s financial statements as this decision impacts the value of inventory, cost of goods sold, and net profit2. If inventory costs are rising during a period, then LIFO will result in a lower value of ending inventory, a higher cost of goods sold, and a lower net profit compared to FIFO1.
Therefore, by unitary method the answer will be Ending inventory and Net profit
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continuous variables can take on an infinite number of values whereas _____ variables can only take a value from a finite number of values.
Continuous variables can take on an infinite number of values whereas discrete variables can only take a value from a finite number of values.
Continuous and discrete variables are two types of variables in statistics. Continuous variables are variables that can take on an infinite number of values, including any fractional value within a particular range.
In contrast, discrete variables can only take on a finite number of values. These values can be counted or enumerated, and there are no fractional values between them.
The distinction between continuous and discrete variables is important in statistical analysis because it affects the methods that can be used to analyze and interpret the data.
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Highlight (1)
Science - Ruhul A Mollah
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South
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Ocean
South
Atlantic
Ocean
38ee7c7-4516-4260-a430-9d81b38467df
Search
Indian
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3
Southern
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LEGEND
= increasing sea level trends
•= decreasing sea level trends
Do the local tide measurement data support or contradict the global satellite data?
OA.
The tide measurement data contradict the satellite data because the tide measurement data show that the local sea level trends at some locations
are decreasing.
OB. The tide measurement data support the satellite data because the number of places where local sea level trends are decreasing is so small that they
can be ignored.
OC. The tide measurement data contradict the satellite data because the number of decreasing local sea level trends is greater than the number of
increasing local sea level trends.
8
(3
S
The tide measurement data support the satellite data because the tide measurement data show that the number of increasing local sea level trends a
significantly greater than the number of decreasing local sea level trends.
ex
#
Time Remaining 00:30:14
Question 10 of 16
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The local tide measurement data contradict the satellite data because the number of decreasing local sea level trends is greater than the number of increasing local sea level trends. So correct option is C.
Describe Measuring of tides?Measuring tides involves observing and recording changes in the water level of oceans, seas, and other bodies of water over time. Tides are caused by the gravitational pull of the moon and sun on the Earth's water, which results in a rhythmic rise and fall of water levels.
Tide measurements are important for a variety of reasons, including understanding ocean circulation, predicting flooding and storm surges, and planning shipping routes. Tidal data is also used in climate research, as changes in sea level can indicate long-term climate trends.
The local tide measurement data contradict the satellite data because the number of decreasing local sea level trends is greater than the number of increasing local sea level trends.
The measurement is done because the land surfaces are dynamic with some locations rising or sinking relative to sea level changes are different across world coasts.
Therefore, the Option C is correct.
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The complete question is:
If someone can help with ALL the questions that would be greatly appreciated. The last answer I got for this post only answered the first question. Which is $60, but I really need help with all of them. This subject has been difficult for me to grasp. Thank you all for your help.
1. Avril deposited $800 in his bank at 1.5% for five years.
a) Use the simple interest formula to calculate the
amount of interest Avril will earn.
b) Calculate the future value of her deposit.
2. Phyllis borrowed $1,000 at 2% APR for six months. Use the simple interest formula to calculate the total amount of interest Phyllis will pay if she pays $200 two months into the loan and the rest at six months.
3. James deposited $500 in his bank at 4.5% for 90 days.
a) Use the simple interest formula to calculate the
amount of interest James will earn using exact
interest.
b) Calculate the future value of the deposit.
4. On May 4 Ariel signed a simple discount note for $3,500 at 3 1/2% for 60 days.
a) Use the simple interest formula to calculate
the amount of interest Ariel will pay using
ordinary interest.
b) Calculate the proceeds she will receive on
May 4.
c) Calculate the amount she will pay at maturity
d) Determine the date it will be due.
5. What is the APY (effective rate) for 16% APR compounded quarterly? Round to hundredths.
6. Louisa invested $4,500 at 4% interest compounded semiannually for two years. Calculate the future value of Louisa's investment using Exhibit 11-1 or the formula FV = P(1 + R)n.
7. Cleve wants to know how much he would need to deposit now in order to have $8,000 in five years at a rate of 6% compounding quarterly. Use Exhibit 11-2 or the formula P = FV/(1 + R)n.
8. I want to borrow $900 for 20 days from a payday loan store. The payday loan finance charge is $12 per $100 borrowed up to $400, and $10 per 100 on the amount over $400. What is the dollar amount of interest I am paying? What is the APR of this loan?
9. Using Exhibit 12-1 or the formula, calculate the future value of an ordinary annuity with a quarterly payment of $1,000 made at the end of each quarter for four years compounding quarterly at 8%.
10. Using Exhibit 12-1 or the formula, calculate the future value of an annuity due with a monthly payment of $50 made at the beginning of each month for 2.5 years compounding monthly at 6%.
Answer:
a) Simple interest = PRT/100 = (800 x 1.5 x 5)/100 = $60
b) Future value = P(1 + RT) = 800(1 + 0.015 x 5) = $870
Total time of loan = 6 months
Phyllis pays $200 two months into the loan, so she still owes $800 for the remaining 4 months.
Simple interest = PRT/100 = (800 x 2 x 4)/100 = $64
Total interest = $64 + $20 = $84
a) Exact interest = PRT/365 = (500 x 4.5 x 90)/36500 = $5.48
b) Future value = P(1 + RT) = 500(1 + 0.045 x 90/365) = $508.22
a) Ordinary interest = PTR/100 = (3500 x 3.5 x 60)/360 = $183.75
b) Proceeds = P - I = 3500 - 183.75 = $3316.25
c) Amount to be paid at maturity = P = $3500
d) Due date = May 4 + 60 days = July 3
APY = (1 + R/n)^n - 1 = (1 + 0.16/4)^4 - 1 = 0.1664 or 16.64%
Future value = P(1 + R/n)^(nt) = 4500(1 + 0.04/2)^(2 x 2) = $5,011.03
P = FV/(1 + R/n)^(nt) = 8000/(1 + 0.06/4)^(4 x 5) = $5,764.44
Interest = (900 x 0.12) + (500 x 0.1) = $132
APR = (132/900) x (365/20) x 100% = 730%
Future value = PMT x ((1 + R/n)^(nt) - 1)/(R/n) = 1000 x ((1 + 0.08/4)^(4 x 4) - 1)/(0.08/4) = $47,490.08
Future value = PMT x ((1 + R/n)^(nt) - 1)/(R/n) x (1 + R/n) = 50 x ((1 + 0.06/12)^(12 x 2.5) - 1)/(0.06/12) x (1 + 0.06/12) = $1,327.10
A Triangle has a height that is half of 28 yards and an area of 56 yards^2. What is the length of the base of the trangle?
The length of the base of the triangle is 8 yards.
What is area of a triangle?The formula for calculating a triangle's area is
A = 1/2 * base * height,
where A represents the triangle's area, base its base length, and height its height measured perpendicularly from base to top.
Given that, height of triangle is half of 28 yards and an area of 56 sq. yards.
The area of triangle is given as:
A = 1/2 * base * height
Substitute the value of h = 1/2 (28) = 14 yards, and area = 56.
56 = 1/2 * base * 14
base = 56(2) / 14
base = 8 yards
Hence, the length of the base of the triangle is 8 yards.
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in the right triangle below solve for X (Round to your nearest tenth)
A. 28.6
B. 37.2
C. 39.8
D. 43.9
Answer:
Step-by-step explanation:
[tex]tanx=\frac{15}{18}[/tex] (tan is opposite/adjacent SOHCAHTOA)
[tex]x=tan^{-1}(\frac{15}{18}) = 39.8[/tex]
given :√9+25 : π-4 : ³√-27 : 2÷3 : 18÷2 : √-27
√9+25 = 28
π-4 = -0.8571
³√-27 = -3
2 / 3 = 0.6667
18÷2 = 9
√-27 = 5.196
What is surdsIn mathematics, a surd is a term used to describe an irrational number that is expressed as the root of an integer. Specifically, a surd is a number that cannot be expressed exactly as a fraction of two integers, and is usually written in the form of a radical (e.g. √2, √3, √5, etc.).
We have √9+25 = 28
find the square root of 9 = 3
3 + 25 = 28
π-4 = 3.14 - 4
= -0.8571
³√-27 = ³√3³
= 3
2÷3 = 0.6667
18÷2 = 9
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question:
given :√9+25 : π-4 : ³√-27 : 2÷3 : 18÷2 : √-27
find the value of the terms
Let X and Y be independent random variables, uniformly distributed in the interval [0, 1 Find the CDF and the PDF of X-Y
Let X and Y be independent random variables, uniformly distributed in the interval [0, 1 ]. The CDF of X - Y is FZ(z) = (1/2)(1+z)^2 for -1 ≤ z ≤ 0, 1 - (1/2)(1-z)^2 for 0 ≤ z ≤ 1, 0 for z < -1 or z > 1. The PDF of X - Y is fZ(z) = z + 1 for -1 < z < 0, 1 - z for 0 < z < 1, 0 otherwise.
To find the CDF of X - Y, we first note that the range of X - Y is [0, 1]. Let Z = X - Y, then:
FZ(z) = P(Z ≤ z) = P(X - Y ≤ z)
We can write this as an integral over the joint distribution of X and Y:
FZ(z) = ∫∫[X - Y ≤ z] fXY(x, y) dx dy
Since X and Y are independent, the joint distribution is simply the product of their marginal distributions:
fXY(x, y) = fX(x) fY(y) = 1 * 1 = 1
for 0 ≤ x, y ≤ 1.
Thus, we have:
FZ(z) = ∫∫[X - Y ≤ z] dx dy
= ∫∫[Y ≤ X - z] dx dy
= ∫0^1 ∫0^(x-z) 1 dy dx + ∫0^1 ∫(x-z)^1 1 dy dx
= ∫0^(1+z) (1-z) dx
= (1/2)(1+z)^2 for -1 ≤ z ≤ 0
= 1 - (1/2)(1-z)^2 for 0 ≤ z ≤ 1
Therefore, the CDF of X - Y is:
FZ(z) =
(1/2)(1+z)^2 for -1 ≤ z ≤ 0
1 - (1/2)(1-z)^2 for 0 ≤ z ≤ 1
0 for z < -1 or z > 1
To find the PDF of X - Y, we differentiate the CDF:
fZ(z) = dFZ(z)/dz =
z + 1 for -1 < z < 0
1 - z for 0 < z < 1
0 otherwise
Therefore, the PDF of X - Y is:
fZ(z) =
z + 1 for -1 < z < 0
1 - z for 0 < z < 1
0 otherwise
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Which quadratic function best fits the data?
x y
1 120
2 75
3 47
4 35
5 47
6 75
The quadratic function that best matches the provided data is as follows: y = -9.38x2 - 74.8x + 186.1 with a 1594.61 squared difference total.
what is function ?A function in mathematics is a connection between two groups of numbers, known as the domain and the range, where each element in the domain has a unique relationship with each element in the range. The range is the set of possible output values that the function can generate, and the domain is the set of input values for which the function is defined. Algebraic expressions or formulas that explain how the output values are arrived at based on the input values are frequently used to depict functions.
given
The greatest fit will be determined by the function with the smallest sum of squared differences.
The outcome is as follows after computing the sums of squared differences for each function:
Sum of squared differences for y = 9.38x2 + 74.8x + 186.1 is 406.27.
Sum of squared differences for y = -9.38x2 + 74.8x + 186.1 is 406.27.
Sum of squared differences for y = 9.38x2 + 274.8x + 186.1 is 18681.95.
sum of squared disparities is 1594.61 when y = -9.38x2 - 74.8x + 186.1.
The quadratic function that best matches the provided data is as follows: y = -9.38x2 - 74.8x + 186.1 with a 1594.61 squared difference total.
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if x and y varies inversely as each other and x=10 when y=6 findy when x=15
Answer:
Y = 4
Step-by-step explanation:
given x varies inversely as y then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
to find k use the condition x = 10 when y = 6 , then
6 = [tex]\frac{k}{10}[/tex] ( multiply both sides by 10 )
60 = k
y = [tex]\frac{60}{x}[/tex] ← equation of variation
when x = 15 , then
y = [tex]\frac{60}{15}[/tex] = 4
Let S be the universal set, where:
S={1,2,3,...,18,19,20}
Let sets A and B be subsets of S, where:
The elements in the set (A∩B¹) = {2,11,12,} and (B∩A¹) ={5,7,8,9,13,15,16,18}
What is set theory?You should understand that Set theory is a branch of mathematical logic that studies sets, which can be informally described as collections of objects such as numbers, alphabets and variables.
The universal set
S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}
A = {1,2,6,11,12,19,20}
B = {1,5,6,7,8,9,13,15,16,18,19,20}
S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}
B¹ = {2.3.4.10.11.12.14.17)
A = {1,2,6,11,12,19,20}
(A∩B¹) = {2,11,12,}
The elements of (B∩A¹) is
S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}
A = {1,2,6,11,12,19,20}
A¹ = {3,4,5,7,8,9,10,13,14,15,16,17,18}
B = {1,5,6,7,8,9,13,15,16,18,19,20}
(B∩A¹) = {5,7,8,9,13,15,16,18}
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If A dog is 3 times a s heavy as a cat. If the cat weighs 8kg what is the dogs weight?
Answer: 24kg
Step-by-step explanation:
Ratio given:
Dog = 3 (Weight of cat)
Substitute the (Weight of cat) with the given unit:
Dog = 3(8kg)
Multiply
Dog = 24kg
X squre + y + 1 = 0
Answer:
-2 squared+3+1=0
I hope it helps
HELP! WILL MARK BRAINLIEST!!! Inverse Functions Digital Equations
Answer:
u8hiuhihihoiho'hjoihuiytrdeee
Step-by-step explanation:
Let y denote the number of broken eggs in a randomly selected carton of one dozen eggs. y 0 1 2 3 4 ply) 0.60 0.20 0.15 0.03 0.02 (a) Calculate and interpret Hy My = 0.20 (b) In the long run, for what proportion of cartons is the number of broken eggs less than jy? (Round your answer to two decimal places). Enter a number. Does this surprise you? Yes O No 0 + 1 + 2 + 3 + 4 (c) Explain why sy is not equal to = 2.0. 5 This computation of the mean is incorrect because the value in the denominator should equal the maximum y value. This computation of the mean is incorrect because it does not take into account that the number of broken eggs are all equally like O This computation of the mean is incorrect because it includes zero in the numerator which should not be taken into account when O This computation of the mean is incorrect because it does not take into account the number of partially broken eggs.
a) The value of Hy = 1.15
b) The proportion of cartons with less than 1.15 broken eggs is 0.60
c) The answer is B)This computation of the mean is incorrect because it does not take into account that the number of broken eggs are not all equally like.
(a) Hy = 0.67, which means that on average, there are 0.67 broken eggs per carton.
Hy = (0*0.60 + 1*0.20 + 2*0.15 + 3*0.03 + 4*0.02)/1
= 0.67
(b) The proportion of cartons with less than 0.67 broken eggs is 0.60 which is probability of 0 broken eggs.. This may be surprising as the probability of having less than 0.67 broken eggs is only 0.60, but this is due to the fact that the distribution is skewed towards higher values.
(c) Hy is not equal to the simple average of 0, 1, 2, 3, and 4 because the distribution is not symmetrical. The probabilities are weighted towards higher values, which increases the mean. Additionally, the value of zero should be included in the calculation, as it represents a possible outcome. Therefore, the correct formula for Hy is (0*0.60 + 1*0.20 + 2*0.15 + 3*0.03 + 4*0.02)/1 = 0.67.
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--The question is incomplete, answering to the question below--
"Let y denote the number of broken eggs in a randomly selected carton of one dozen eggs.
y 0 1 2 3 4
p(y) 0.60 0.20 0.15 0.03 0.02
(a) Calculate and interpret Hy
(b) In the long run, for what proportion of cartons is the number of broken eggs less than Hy? (Round your answer to two decimal places).
Does this surprise you?
Yes
No
(c) Explain why Hy is not equal to (0 + 1 + 2 + 3 + 4)/5 = 2.0.
A. This computation of the mean is incorrect because the value in the denominator should equal the maximum y value.
B. This computation of the mean is incorrect because it does not take into account that the number of broken eggs are not all equally like
C. This computation of the mean is incorrect because it includes zero in the numerator which should not be taken into account when
D. This computation of the mean is incorrect because it does not take into account the number of partially broken eggs."
The odometer in Mr. Washington's car does not work correctly. The odometer recorded 14.3 miles for his last trip to the hardware store,but he knows the distant traveled is 17 miles.What is the percent error. Show steps
Find the percent errors, use the formula a-x/x ×100%
Answer:
15.8823% error
Step-by-step explanation:
Percent Error Formula
abs([tex]\frac{(a-x)}{x}[/tex]) * 100%
abs: absolute value
a: actual value
x: expected value
Percent Error = abs([tex]\frac{14.3 - 17}{17}[/tex]) * 100%
= abs(-0.158823) * 100%
15.8823% error