Under the Binomial and Poisson distributions gives approximate result is p → 0 n → ∞.
Unlike, in the case of a Binomial distribution, for a Poisson distribution, the knowledge of number of trials to get the observed number of successes is not required. The Poisson distribution has only one parameter namely “m” the mean number of successes per given unit of time.
The Poisson distribution is often taken as a limiting case of Binomial distribution, under the following conditions.
The number of trails is indefinitely large i.e., n → ∞
The probability of success, “p” is very small i.e., p → 0
np is finite i.e., np = m where p = m/n and q = 1 – m/n and m > 0.
However, it is not defined if “n” is large means how large and “p” is closed to zero means how small? It is left to the readers to assume how large n should be and how small p should be? As mentioned earlier, the Poisson distribution is often described as a limiting case of Binomial distribution.
Based on the results of the study , published by me clearly proves that even when 10 ≤ n ≤50 and p ≤ 0.2, the Poisson distribution can be a good approximation to Binomial distribution.
Hence the answer is Under the Binomial and Poisson distributions gives approximate result is p → 0 n → ∞.
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how many ways are there to seat n couples around a circular table such that no couple sits next to each other?
2n(n−1)! ways n couples around a circular table such that no couple sits next to each other.
What is combination?
The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant."Combining these two words indicates "Selection of things," where the order of the items is irrelevant.Depends on how you consider two ways as different ways.
If the seats are in fixed positions, then there are two possible seatings as the couple can swap with each other. In this case, choose a seat as reference. Swapping is available in each couple or between couples, on seat 0 and 2N sit one couple or different couples. So the answer is 2n+1n!If you consider seats as all same, pick a couple as reference. Still, husband can sit either on clockwise of his wife or counterclockwise. The remaining n−1 couples can choose their seats at will. In this case the answer is 2n(n−1)! when n>1. When n=1 there’s only 1 since the relative position becomes unimportant in this case.In case you still feel confused, take 2 for example. We have plan AaBb, AabB, aABb and aAbB
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Please help mee
I need this for math homework pleass
Answer: -2x + 3
Step-by-step explanation:
Subtract like terms. But first, there is a negative in front of the parenthesis of (-6x+2), use the distributive property.
-(6x+2), multiply each number inside of the parenthesis by -1:
-1 * -6x + -1 * 2
6x - 2
Now remove the parenthesis and add (or subtract) like terms.
-8x + 5 + 6x - 2
-8x + 6x = -2x
5 - 2 = 3
-2x + 3
Word problem for 2 divided by 1/4
Answer:
8
Step-by-step explanation:
2 : 1/4
2 x 4/1
2 x 4
8
In investment of $1800 in the stock market are $278 in two years find the simple interest rate
The interest rate is -42.3%, where the negative sign indicates depreciation.
What is the interest rate?The percentage that a lender adds to the amount of money lent to them is called an interest rate.
Given that, the investment of $1800 in the stock market is $278 in two years.
Therefore, the amount depreciated is:
278 - 1800
= -1522
Since 1522 is depreciated in 2 years, the amount depreciated in one year is:
1522/2
= 761
The rate at which the amount depreciated is:
(761/1800)×100%
= 42.3%
Hence, the interest rate is -42.3%, where the negative sign indicates depreciation.
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this exercise involves the formula for the area of a circular sector. the area of a sector of a circle with a central angle of 5????/11 rad is 15 m2. find the radius of the circle. (round your answer to one decimal place.) 4.5 incorrect: your answer is incorrect. m
A 15 square metres sector will have a radius of 8.1 m and a central angle of 26.04 degrees.
What is sector?The region of a disk encompassed by two radii and an arc is called a circular sector, also known as a circle sector or disk sector. The smaller area is referred to as the minor sector, and the larger area as the major sector. A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends. A slice of pizza or a pie can be used as an analogy for the form of a circle's sector.
Here,
area of sector=θ/360°*πr²
θ=5/11*180/π
θ=26.04 degree
area=15 m²
15=26.04/360*3.14*r²
15=0.227r²
r²=66.08 m²
r=8.13 m
The radius of the sector whose area is 15 m² will be 8.1 m with the central angle of 26.04 degree.
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30 bottles of water for $4.80
Answer: unit rate is $0.16
1 bottle cost $0.16
Step-by-step explanation:
U have to estimate!!!!!!!!!! Please help now asap
Which of the following fractions have repeating decimal representations? Which have terminating decimal representations?
a) 3/16 b) 4/125 c) 3/13 d) 7/24
Repeating decimal representation will be 3/13, 7/24. Terminating decimal representation will be 3/16, 4/125.
What is decimal?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system. The base-10 number system, arguably the most widely used number system, is referred to as decimal. The decimal number system consists of ten single-digit numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. The number following nine is 10.
Here,
Repeating decimal representation,
=3/13, 7/24
Terminating decimal representation,
=3/16, 4/125
3/13 and 7/24 will be repeated in decimal form. The final two decimal places are 3/16 and 4/125.
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50 POINTS! PLEASE HURRY!
f(x) = x2. What is g(x)?
Answer: g(x) = -x^2 -3
Step-by-step explanation:
We know that the y-intercept is -3, so we can eliminate the first 2 answers. For the last two answers, c is wrong because it is a negative slope and if we square root it, it will become a positive slope our graph slope is not positive, so the answer is d.
Solve the equation or formula for the indicated Variable. explain answer please a=4b^5h, for h
Answer: The correct answer is h=a/4b^5
Step-by-step explanation:
Solve for h
a=4b^5h
Flip the equation
4b^5h=a
Divide both sides by 4b^5
4b^5h/4b^5 = a/4b^5
h=a/4b^5
How long will the air in the tank last at this rate
Answer:
60 minutes. (1 hour)
Step-by-step explanation:
An average recreational tank containing 200 bars or 12 L of air should last you for 60 minutes. However, several factors come into play while determining the lifespan of a scuba air cylinder. The amount of air that a diver needs depends on their air consumption rate, which in turn is based on their physical exertion level.
Answer: you have to say at what rate. we cant answer this question. there is part of this question that is missing.
167. for the training adaptation of maximum strength, what is the recommended number of repetitions per set?
Each strength training exercise should be performed for 2 to 6 sets with no more than 6 repetitions. To encourage the greatest outcomes, the training intensity for each set should be 85% or greater.
What is percent?In essence, percentages are fractions with a 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). %, which is a relative figure used to denote hundredths of any amount. Since one percent (symbolized as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.
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what are the major differences between a population that is experiencing logistic growth and one that is experiencing exponential growth?
If resources are unlimited, population will increase exponentially. A logistic growth happens as those resources are less readily available.
Explain the term logistic growth and exponential growth?Exponential Growth:
The term "exponential growth" describes a population's expansion through time at a pace that is directly proportionate to its size. The population's size is influenced by both the birth and death rates. When there are plenty of resources for everyone in the population, exponential expansion happens. When the number of objects is plotted against time, it yields a J-shaped curve.Logistic Growth:
A population growth known as logistic growth is a group of people whose rate of growth reduces as the number of individuals increases and becomes zero whenever the population reaches its maximum.People in the population compete for resources so when food supply and available space are limited.Thus, there are several key distinctions between populations growing logistically and those growing exponentially.
If resources are unlimited, population will increase exponentially. A logistic growth happens as those commodities become less widely available.To know more about the exponential growth, here
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what is the probability that someone who tests negative does not have the disease? (enter the value of the probability in decimal format and round the final answer to three decimal places.)
The probability that someone who tests negative does not have the disease is 0.8451
Given that,
The information shows the outcomes of a test for a specific illness. Assume a member of the group is chosen at random.
From given data table,
N = 144+ 22 + 14+ 120 = 300
n(not disease) = 22 + 120 = 142
n( negative And not disease) = 120
P( Not disease) = 142/300
P( Negative and not disease) = 120/300
Therefore,
P(Negative/ not ..disease) =[tex]\frac{P(Negative and not,.disease)}{P(Not ,.disease)}[/tex]
=[tex]\frac{120/300}{142/300}[/tex]
=[tex]\frac{120}{142}[/tex]
=0.8451
Hence, The probability approximately is 0.8451
Hence, the probability that someone who tests negative does not have the disease is 0.8451
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Factor each polynomial
Answer: x^2 (x+1) (4x-9)
Step-by-step explanation:
We can test the equation above x^2 (x+1) (4x-9) to see if it is true or not by rewriting it
x^2 ( 4x^2 -9x +4x -9)
x^2 (4x^2 - 5x -9)
4x^4 - 5x^3 - 9x^2
So x^2 (x+1) (4x-9) is the correct answer for this equation!
If you can please give me a Brainliest, I only need one more to become an Expert, thank you
Carol,dan and eli each had ome coin
dan had twice a many a eli
carol had twice a many a dan
write down the ratio carol had to the number of coin eli had
give your anwer in it implet form
Carol had four times as many coins as Eli had, or a 4:1 ratio.
What is ratio?An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, if there is 1 male and 3 girls, you may express the ratio as 1: 3 (there are 3 girls for every guy), meaning that there are 1 in 4 boys and 3 in 4 girls. A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).
Here,
Dan has twice what Eli has ( D= 2 x E )
Carol had twice what Dan had ( C = 2 x D )
for example , let's suppose Eli had 2 coins
this means Dan had 4 coins,
and Carol had 8 coins .
carol 8 : 2 Eli
=4:1
The ratio in which carol had to the number of coin eli had will be 4:1.
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in the big bucks lottery, the chances of winning a $10.00 prize is 1%. what is your best guess about how many people would win a $10.00 prize if 1,000 people each buy a single ticket to big bucks?
In the big bucks lottery, there are chances that 10 out of 1000 people will win the lottery.
If there are 1000 people in the Big Bucks lottery and there is a 1 percent chance of winning 10 dollars prize if all 1000 people buy the lottery ticket of 10 dollars. If every person buys 10 dollar lottery ticket, then the chances of winning people would be calculated as follows:
Total number of People = 1000
Chances of winning the lottery = 1%
How many people would win 10 dollar lottery = 1000 * 1%
= 1000 * 0.01
= 10 People.
So there are chances that 10 out of 1000 people will win the lottery.
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Complete the equation so that it has the solution c=4
5(2c −
) =2(c+11)
Answer:
Step-by-step explanation:
c=45(2c−)=2(c+11)
We can't solve that type of equation or it may contain an error
is your problem in complete?
PLEASE HELP
For each table, determine whether it shows that x and y are proportional.
If x and y are proportional, fill in the blank with a number in simplest form.
1.not proportional
2.proportional:
Step-by-step explanation:
the first one has no constant rate meanwhile the second table goes up 14 for every 10 in y
Which of the following is located 2/3 the distance from the vertex?
Circumcenter
Incenter
Centroid
Orthocenter
Answer:centroid
Step-by-step explanation:
Answer:Centroid I hope this helpful to you mark me brainlist if correct
Step-by-step explanation:
Hence, the correct statement is "The Centroid of a triangle is located 2/3 of the distance from each vertex to the midpoint of the opposite side."The centroid is the centre point of the object. The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians. The median is a line that joins the midpoint of a side and the opposite vertex of the triangleCentroid theorem: the distance between the centroid and its corresponding vertex is twice the distance between the barycenter and the midpoint of the opposite side. That is, the distance from the centroid to each vertex is 2/3 the length of each median. This is true for every triangleThe centroid of a triangle is the intersection of the three medians of the triangle (each median connecting a vertex with the midpoint of the opposite side).
Given: < 2. Choose the solution set. {x | x < 10/11} {x | x > 10/11} {x | x > 22/5} {x | x < 22/5}.
The solution set is {x | x < [tex]\frac{22}{5}[/tex]}.of the given evaluation.
What is a Solution Set?
The solution set of an equation is, however defined as the set of all solutions that satisfy the equation and since that set has no members the solution set is empty.
Given: [tex]\frac{5x}{11}[/tex][tex]< 2[/tex]
= [tex]5x < 22[/tex]
= [tex]x < \frac{22}{5}[/tex]
Hence, the correct solution set is {x | x < [tex]\frac{22}{5}[/tex]}.
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How many solutions does this linear system have? one solution: (0, –1) one solution: (1, 4) no solution infinite number of solutions
Linear systems have no solution.
What are the solutions to the linear system?
The solution to a system of linear equations is the point that lies on both lines. In other words, the solution is the point where the two lines intersect
A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line).
How do you determine a linear system?
Simplify the equation as closely as possible to the form of y = mx + b. Check to see if your equation has exponents. If it has exponents, it is nonlinear. If your equation has no exponents, it is linear
Linear means something related to a line. All the linear equations are used to construct a line. A non-linear equation is such that it does not form a straight line. It looks like a curve in a graph and has a variable slope value.
Hence, the linear systems have no solution.
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solve for y : -9=-7x+10
Answer: x=-19/7 or -2.71428571
Step-by-step explanation:
first you have to subtract 10 from each side to isolate the variable x. So -9-10=-19, and 10-10=0. Then to find x, you divide both sides by its coefficient, in this case 7.
A coat is marked down by 10% and the customer is given a second discount of 25% what is the sales price
The sales price of the coat is 67.5% of the original price
How to determine the sales price of the coat ?From the question, we have the following parameters that can be used in our computation:
Markdown rate = 10%
Second discount = 25%
The retail price of the coat can be calculated using the following equation
Retail price = original price * (1 - Markdown rate) * (1 - discount)
Substitute the known values in the above equation, so, we have the following representation
Retail price = original price * (1 - 10%) * (1 - 25%)
Evaluate the products
Retail price = original price * 0.675
Rewrite as
Retail price = 67.5% of the original price
Hence, the sales price is 67.5% of the original price
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A number cube is rolled. What is the probability that a number greater than 4 will be rolled?
Answer:
Below
Step-by-step explanation:
six possible rolls 1 2 3 4 5 6 only two are > 4 ( 5 and 6)
2 out of 6 = 1/3 chance
Answer: A one out of six chance for the number four to be rolled.
Step-by-step explanation:
Consider the function
f(x,y) = y\sqrt x - y^2 - 3 x + 11 y.
Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank.
f_x =
f_y = f_{xx} = f_{xy} = f_{yy} = The critical point with the smallestx-coordinate is
(__,__) Classification:
(local minimum, local maximum, saddle point, cannot be determined)
The critical point with the next smallestx-coordinate is
(__,__) Classification:
(local minimum, local maximum, saddle point, cannot be determined)
The critical point with the next smallestx-coordinate is
(__,__) Classification:
(local minimum, local maximum, saddle point, cannot be determined)
By using the concept of maxima, it can be determined that
[tex]f_x(x, y) = \frac{y}{2\sqrt{x}} - 3[/tex]
[tex]f_y(x, y) = \sqrt{x} - 2y +11[/tex]
[tex]f_{xx}(x, y) = -\frac{1}{4}x^{-\frac{3}{2}}[/tex]
[tex]f_{yy} = -2[/tex]
[tex]f_{xy} = \frac{1}{2\sqrt{x}}[/tex]
Critical point with the smallest x - coordinate
(0, [tex]\frac{11}{2}[/tex])
Classification cannot be determined
Critical point with the next smallest x - coordinate
(1, 6)
Classification is local maxima
What is maxima of a function?
Maxima of a function gives the maximum value of a function in a given interval or within the whole domain.
f(x, y) = [tex]y\sqrt{x} -y^2 -3x + 11y[/tex]
[tex]f_x(x, y) = \frac{y}{2\sqrt{x}} - 3[/tex]
[tex]f_y(x, y) = \sqrt{x} - 2y +11[/tex]
Putting x = 0 in [tex]f_y(x, y) = 0[/tex],
-2y + 11 = 0
[tex]y = \frac{11}{2}[/tex]
[tex](0, \frac{11}{2})[/tex] is a critical point
Putting [tex]f_x(x, y) = 0[/tex] and [tex]f_y(x, y) = 0[/tex]
[tex]\frac{y}{2\sqrt{x}} - 3 = 0\\\frac{y}{2\sqrt{x}} = 3\\y = 6\sqrt{x}[/tex]
[tex]\sqrt{x} - 2y+11 = 0\\\sqrt{x} -2\times 6\sqrt{x}+11=0\\\sqrt{x}-12\sqrt{x} + 11 = 0\\11\sqrt{x} = 11\\\sqrt{x} = \frac{11}{11}\\\sqrt{x} = 1\\x = 1[/tex]
When x = 1, y = [tex]6 \times \sqrt{1} = 6[/tex]
(1, 6) is a critical point
[tex]f_{xx}(x, y) = -\frac{1}{4}x^{-\frac{3}{2}}[/tex]
[tex]f_{yy} = -2[/tex]
[tex]f_{xy} = \frac{1}{2\sqrt{x}}[/tex]
The point (0, [tex]\frac{11}{2}[/tex]) is undefined in the second order partial derivative
For the critical point (1, 6)
[tex]f_{xx}(1, 6) = -\frac{1}{4}\\f_{yy}(1, 6) = -2\\f_{xy}(1, 6) = \frac{1}{2}[/tex]
[tex]f_{xx}f_{yy}-(f_{xy})^2[/tex]
[tex]-\frac{1}{4}\times -2-(\frac{1}{2})^2\\\frac{1}{2} - \frac{1}{4}\\\frac{1}{4} > 0[/tex]
[tex]f_{yy} = -2 < 0[/tex]
Hence (1, 6) is a point of local maxima
So it can be determined that
[tex]f_x(x, y) = \frac{y}{2\sqrt{x}} - 3[/tex]
[tex]f_y(x, y) = \sqrt{x} - 2y +11[/tex]
[tex]f_{xx}(x, y) = -\frac{1}{4}x^{-\frac{3}{2}}[/tex]
[tex]f_{yy} = -2[/tex]
[tex]f_{xy} = \frac{1}{2\sqrt{x}}[/tex]
Critical point with the smallest x - coordinate
(0, [tex]\frac{11}{2}[/tex])
Classification cannot be determined
Critical point with the next smallest x - coordinate
(1, 6)
Classification is local maxima
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PLEASE HELP ASAPPP !!! WILL GIVE BRAINLIEST AND 5.0 STAR RATING
Answer:
Step-by-step explanation: 347000 * 6.5% * 20%= 347000*0.065*0.2=4511
Answer is 4511
Answer:
$4,511
the agency makes 6.5% of 347000 which is 22,555 and the agent makes 20 percent of what the agency makes.
so 20% of 22,555 is 4511
II The small capillaries in the lungs are in close contact with the alveoli. A red blood cell takes up oxygen during the 0.5s that it squeezes through a capillary at the surface of an alveolus. What is the diffusion time for oxygen across the 1-um thick membrane separating air from blood? Assume that the diffusion coefficient for oxygen in tissue is .2x10^-11m^2/s Give your answer to 1 significant figure.
The diffusion time of the red blood cell to take oxygen through the membrane is 25uS.
The small capillaries in the lungs are in close contact and it takes a red blood cell 0.5 seconds to squeeze through the capillary.
The diffusion time for the oxygen across the 1 um thick membrane separating the air is given by,
t = x²/2D
Where,
t is the diffusion time,
x is the thickness of the membrane,
D is the diffusion coefficient.
Putting values,
t = (1 x 10⁻⁹)²/2 x 2 x 10⁻¹¹
t = 10⁻⁷/4
t = 25 x 10⁻⁹ seconds.
t = 25 uS.
so, the diffusion time is 25uS.
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In a school there are 875 students.
3
5 of the students are girls.
The rest are boys.
How many boys are there?
Answer:845
Step-by-step explanation:
Is this how you do it?