at the terminal of a certain airline, records disclose that 10% of their flights arrive early, 70% arrive on time, 12% arrive somewhat late, and 8% arrive very late. use the formula for the multinomial distribution to determine the probability that in six randomly selected flights, one will arrive early, three will arrive on time, two will be somewhat late, and none will be very late. express your answer as a decimal rounded to 2 decimal places.

Answers

Answer 1

The required probability by using multinomial distribution is 0.03.

The multinomial distribution is the kind of probability distribution used in finance to assess factors like the likelihood that a company would declare earnings that are greater than anticipated while rivals report disappointing results. In a multinomial distribution, a process has a set of k potential outcomes (X1, X2, X3,..., Xk) and corresponding probabilities (p1, p2, p3,..., pk) such that Σpi = 1. Due to the certainty of one of the outcomes, the probabilities must add up to 1.

Given that at the terminal of a certain airline, records disclose that 10% of their flights arrive early, 70% arrive on time, 12% arrive somewhat late, and 8% arrive very late.

Multinomial probability P = [ n! / ( n1! * n2! * ... nk! ) ] * ( p1n1 * p2n2 * . . . * pknk )

= [ 6! / ( 1! x 3! x 2! x 0! ) ] * ( 0.10^1 x  0.70^3 x 0.12^2 x 0.08^0)

=60*0.000494

=0.02964

Therefore the required probability = 0.03

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Related Questions

Which of the following possibilities will form a triangle

Which of the following possibilities will form a triangle

Answers

Answer:

C. Side = 17cm, 12 cm, 7 cm

Step-by-step explanation:

This question is based on the Triangle Inequality Theorem. This states that the sum of the 2 smaller sides will always be greater than the third. One important thing to note is that the sum cannot be equal to the third side, it must be greater than. We can tell that the third answer, as listed above, is correct because 12+7=19. Since 19 is greater than 17, these sides lengths will create a triangle.

As mentioned early, the 2nd answer cannot be correct because 9+7=16. Since 16=16, these lengths cannot create a triangle.

Help solve for the area

Help solve for the area

Answers

Answer:

B

Step-by-step explanation:

half × base × height

height × length

Answer: B

Step-by-step explanation:

Triangle)

25 - 7 = 18

\(A=\frac{1}{2}(b)(h)\\A=\frac{1}{2}(18)(17)\\A=153cm^2\)

Rectangle)

\(A=b(h)\\A=7(17) = 119cm^2\)

Total)

\(153+119=272 cm^2\)

q . (a + y) = 67y + 93

Answers

if we are solving for why you would get an answer of
y= -93-a/66

Sue has 18 sweets
Tony also has 18 sweets

sue gives Tony x sweets

Answers

Answer:

18 sweets?

Step-by-step explanation:

Not much info to help me answer it

6 more than 7 times a number

Answers

Answer:

See below.

Step-by-step explanation:

6 more than 7 times a number would be represented as 7n+6.

-hope it helps

Answer:

7n+6

Step-by-step explanation:

Im learning this in class and im really good so this is the answer

Pls give brainliest

please help!!! 5x – 2(2x – 1) = 6 show your work!!!

Answers

Answer:

Can I get brainliest please?

Step-by-step explanation:

Ok so, Let's solve your equation step-by-step.

5x−2(2x−1)=6

Step 1: Simplify both sides of the equation.

5x−2(2x−1)=6

5x+(−2)(2x)+(−2)(−1)=6(Distribute)

5x+−4x+2=6

(5x+−4x)+(2)=6(Combine Like Terms)

x+2=6

x+2=6

Step 2: Subtract 2 from both sides.

x+2−2=6−2

x=4

So, your answer would be:

x=4

Answer:

x=4

Step-by-step explanation:

5x-2(2x-1)=6

multiply 2 to the parathesis

5x-4x+2=6

collect like terms

x+2=6

subtract both sides by 2

x=4

(-4 × 5.2) − (-3 × -4/5)=
) =

Answers

Answer:

\(=-23.2\)

Step-by-step explanation:

\(\left(-4\times \:5.2\right)-\left(-3\left(-\frac{4}{5}\right)\right)\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a\\=-4\times \:5.2-3\times \frac{4}{5}\\4\times \:5.2=20.8\\4\times \:5.2\\\mathrm{Multiply\:the\:numbers:}\:4\times \:5.2=20.\\=20.8\\3\times \frac{4}{5}=\frac{12}{5}\\3\times \frac{4}{5}\\\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}\\=\frac{4\times \:3}{5}\\\mathrm{Multiply\:the\:numbers:}\:4\times \:3=12\\\)

\(=\frac{12}{5}\\=-20.8-\frac{12}{5}\\\mathrm{Convert\:element\:to\:a\:decimal\:form}\\\frac{12}{5}=2.4\\=-20.8-2.4\\\mathrm{Subtract\:the\:numbers:}\:-20.8-2.4=-23.2\\=-23.2\)

PLEASEEEE HELPPPP MEEEE I HAVE A FREAKING 36 IN GEOMETRYYYY

PLEASEEEE HELPPPP MEEEE I HAVE A FREAKING 36 IN GEOMETRYYYY

Answers

Answer:

Suppose in a triangle △ABC, if sides AB and AC are equal, then △ ABC is an isosceles triangle where ∠ B = ∠ C. The theorem that describes the isosceles triangle is if the two sides of a triangle are congruent, then the angle opposite to them are also congruent

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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP


HELP I NEED HELP ASAPHELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAPHELP I NEED HELP

Answers

Answer:

2.25

Step-by-step explanation:

Given a cone with height 10 feet and diameter of 22 feet, determine the radius of the smaller cone created when a horizontal plane passes through the cone at exactly 4 feet from the base

Answers

The radius of the smaller cone created when a horizontal plane passes through the cone at exactly 4 feet from the base is 6.6 feet.

To determine the radius of the smaller cone created when a horizontal plane passes through the cone at exactly 4 feet from the base, we can use similar triangles.

The given cone has a height of 10 feet and a diameter of 22 feet. The radius of the given cone is half of the diameter, so it is 22/2 = 11 feet.

When a horizontal plane passes through the cone at exactly 4 feet from the base, it divides the cone into two parts: the smaller cone and the frustum (the remaining part of the cone).

The height of the smaller cone is the distance from the 4-feet mark to the top of the cone, which is 10 - 4 = 6 feet.

Since the two cones are similar, their corresponding dimensions are proportional. The ratio of the corresponding heights is the same as the ratio of the corresponding radii.

So, we can set up the following proportion:

(r_small / r_given) = (h_small / h_given)

Substituting the values we have:

(r_small / 11) = (6 / 10)

Cross-multiplying:

10 * r_small = 11 * 6

r_small = (11 * 6) / 10

r_small = 66 / 10

r_small = 6.6 feet

Therefore, the radius of the smaller cone created when a horizontal plane passes through the cone at exactly 4 feet from the base is 6.6 feet.

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Question 1 (1 point)
Identify the slope and y-intercept.
y = -4x - 2
m = -2, b = -4
b
m = 4, b = 2
m = -4. b = 2
m= -4, b= -2​

Answers

Answer:

m = - 4, b = - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

y = - 4x - 2 ← is in slope- intercept form

with m = - 4 and b = - 2

What is the answer to this question? There is 10 points available.

What is the answer to this question? There is 10 points available.

Answers

Answer:

1/10

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

I took test

An item is originally priced $68.89. It is on sale for 42 percent of the original price. Which is an estimate of the sale price?
$2.00
$3.50
$20
$28

Answers

Answer: 28

Step-by-step explanation: round price to 70.00 then think 10% is $7....so 40% would be 7x4 = 28

Answer:

the answer is D $28

Step-by-step explanation:

What is the product of 5.2 x 10^4 and 1.3 x 10^-2?

6.76×10^8

6.76×10^2

6.76×10^-2

6.76×10^-8

Answers

Answer:

i believe it's 6.76×10^2

PLEASE HELP ME
write the equation of the line perpendicular to y = -3/4x + 1 passing through (6, -9)

Answers

Answer:

y=4/3x-17

Step-by-step explanation:

Can y answer this question please in which number does the digit 3 have a value that is 10 times as great as the value of the digit 3 in 143,728

Answers

The answer of the given question based on the greatest value is One such number is 3,043,728.

What is Number System?

A number system is a system of representing and expressing numbers in a clear, concise, and organized way. The most commonly used number system is the decimal system, which is based on the numbers 0 through 9. However, there are many other number systems, including binary, octal, hexadecimal, and more.

Each number system has a set of rules and conventions for representing numbers. For example, in the decimal system, each digit can represent a value from 0 to 9, and the position of each digit determines its value.

The digit 3 in 143,728 has a value of 3 x 1000 = 3000. To find a number in which the digit 3 has a value that is 10 times as great as this, we need to find a number in which the digit 3 has a value of 10 x 3000 = 30,000.

One such number is 3,043,728. In this number, the digit 3 appears in the hundred thousands place, which means its value is 3 x 100,000 = 300,000. This is indeed 10 times as great as the value of the digit 3 in 143,728.

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The number 137 has the same relationship to the number 143 as the numbers 398,389,392, which have a digit 3 that is 10 times greater than the number 137.

What is face and place value?

A number's face value is the digit itself, while its place value is determined by its placement.

In order to answer the question, we must determine which of the following integers has a value for the digit 3 that is 10 times greater:

If we pay close attention, we can see that the number 137 has a third digit in its tens place while the number 143 has a third digit in its unit place. Additionally, there are 398,389,392, which has a digit 3 and is ten times bigger than the number 137.

These numbers will be written as follows if we now express their location and value in words:

143 = 1 × 100 + 4 × 10 + 3 × 1.

137 = 1 × 100 + 3 × 10 + 7 × 1.

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The complete question is:

In which number does the digit 3 have a value that is 10 times as great as the value of the digit 3 in 143,728? 137,982 142,398 292,389 392,097.



Find the value of a that makes each system a dependent system.

3y = 2x , 6y - a - 4x = 0

Answers

The value of 'a' that makes the given system a dependent system is 4.

To make the given system a dependent system, we need to find the value of 'a' that makes both equations equivalent or proportional.

Let's begin by rearranging the first equation so that it is in the standard form y = (2/3)x.

Now, let's substitute this expression for y in the second equation and simplify:

6y - a - 4x = 0

6(2/3)x - a - 4x = 0

4x - a = 0

We can see that if we choose 'a' to be equal to 4, then both equations will be equivalent. In other words, the system will become a dependent system with infinitely many solutions.

To see why, let's substitute 'a' as 4:

6y - 4 - 4x = 0

6y - 4x = 4

Now, if we compare this equation to the first one we wrote, y = (2/3)x, we can see that they are equivalent. Thus, any solution that satisfies the first equation will also satisfy the second equation, and vice versa. This means that we have infinitely many solutions to the system.

In conclusion, the value of 'a' that makes the given system a dependent system is 4.

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On a scale 1 3/4 inches represent 50 miles. How many miles are represented by 7 inches?

Answers

Answer:

200 miles

Step-by-step explanation:

1 3/4 can be turned into a decimal as 1.75

Now let’s create fractions to prepare for cross multiplication

1.75/50=7/x

1.75x=7(50)

1.75x=350

/1.75.  /1.75

x=200

200 miles


hopes this helps please mark brainliest

An early expert in the field of mathematics, g. polya, published a book called, how to solve it, in 1945. in this book a simplified problem solving method was laid out. The steps included all of the _____________

Answers

following:

Understanding the problem.Devising a plan.Carrying out the plan.Reflecting on the solution obtained.

Polya's Problem Solving Steps

The book "How to Solve It" by George Polya is a classic work in the field of mathematics education. It lays out a four-step method for solving mathematical problems, which includes understanding the problem, devising a plan, carrying out the plan, and reflecting on the solution obtained.

The purpose of the book is to help students and problem solvers develop a systematic and effective approach to solving problems in mathematics and other areas of life. The book is widely used and respected in mathematics education, and its ideas have been applied to many other fields, such as engineering, computer science, and business.

The four steps outlined in the book provide a structure for approaching any problem in a systematic and organized manner, which can be applied to a wide variety of problems in different fields. This structure helps to ensure that all relevant information is considered and that the problem is solved in the most efficient and effective way possible.

Additionally, the step of reflecting on the solution obtained helps to promote a deeper understanding of the problem and the solution, which is important for developing problem-solving skills over time. As a result of its simplicity, clarity, and effectiveness, "How to Solve It" continues to be a popular and highly-regarded book in the field of mathematics education and beyond.

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Will mark brainliest for right answer

Will mark brainliest for right answer

Answers

The answer is D, or (-6, -12).

Explanation:

When dealing with dilations and scale factors, you multiply by the given number to find what the resulting points will be.

I NEED AN ANSWER ASAP PLEASE

I NEED AN ANSWER ASAP PLEASE

Answers

Step-by-step explanation:

the correct answer is option a 6a-7

Is 6 a solution to the equation x^2 - 4 = 5x? Please tell me why or why not

Answers

Answer:

6 is not a solution to the given equation.

Step-by-step explanation:

We are given the equation \(x^2-4=5x\)

We need to know whether or not x=6 is a solution. This means that we should substitute in 6 for each instance of x. Then, if both sides of the equation are equal, then 6 is a solution to the equation.

\(x^2-4=5x\\\\(6)^2-4=5(6)\\\\36-4=30\\\\32=30\)

As 32 ≠ 30, 6 is not a solution to the given equation.

Can someone solve this?

Can someone solve this?

Answers

Answer:

x = 102y = 78z = 66

Step-by-step explanation:

You want to know the values of x, y, and z, which are three angles in a figure showing two triangles that share a side and a base.

Angle sum theorem

The angle sum theorem tells you the sum of angles in a triangle is 180°. This means ...

  x° +32° +46° = 180°

  x = 180 -78 . . . . . . divide by °, subtract 78 from both sides

  x  = 102

Linear Pair

Adjacent angles that form a straight line are called a "linear pair." Their sum is 180°

  y° +x° = 180°

  y = 180 -x = 180 -102

  y = 78

Remote interior angles

You may have noticed that the value of y is equal to the sum of the two given angles in the triangle containing x. That is, the exterior angle is equal to the sum of the remote interior angles. This is also true for the left-side triangle:

  x° = z° +36°

  z = x -36 . . . . . divide by °, subtract 36

  z = 102 -36

  z = 66

__

Additional comment

The theorems cited here can be used in a number of different combinations to find the measures of these angles. We could start by finding y = 32+46 = 78, then z = 180 -36 -78 = 66, and x = 36 +66 = 102.

{y = 1/4x + 3 {y = 2x + 10 What is the solution for this system of equations?

Answers

The solution is:

A. (–8, 2), is the solution to the system of equations y=1/2x+6 and

y=3/4x-4

Here, we have,

(1)       y =  ½x + 6  

(2)       y = -¾x –  4     Set (1) = (2)  

½x +   6 = -¾x –  4     Multiply each side by 4

2x  + 24 = -3x – 16     Add 16 to each side

2x  + 40 = -3x              Subtract 2x from each side  

       40 = -5x              Divide each side by -5

(3)       x = -8                 Substitute (2) into (1)

         y = ½(-8)  +6

            = -4 + 6

            =  2

The solution to the system of equations is (-8 ,2).

You can see the graphs of the two functions in the figure below. The two lines intersect at (-8, 2).

Check:

2 = ½(-8) + 6     2 = -¾(-8) - 4

2 = -4 +6           2 = 6 - 4

2 = 2                 2 = 2

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complete question:

What is the solution to the system of equations below?

y=1/2x+6 and y=3/4x-4

A. (–8, 2)

B. (–8, –1)

C. (8, 10)

D. (8, –10)

sin^2020(x)+cos^2020(x)=1

Answers

Answer:

so this is really simpel x=1 thats it

Step-by-step explanation:\sin ^2\left(20^{\circ \:}\right)\left(x\right)+\cos ^2\left(20^{\circ \:}\right)\left(x\right)=1 \sin ^2\left(20^{\circ \:}\right)x+\cos ^2\left(20^{\circ \:}\right)x=1

a toy racecar moves along a circular track with a radius 2.7 feet long and starts at the 3-o'clock position. imagine an angle with its vertex at the center of the track that subtends the path the racecar travels. if the angle measures 1.6 radians, how many feet did the racecar travel along the circular track?

Answers

The distance traveled by the race car along the circular track is given as follows:

4.33 feet.

How to obtain the distance traveled by the car?

Before obtaining the distance traveled by the car, we need to obtain the circumference of the circle.

The circumference of a circle of radius r is given by the multiplication of 2π and r, as follows:

C = 2πr.

The radius for the circle in this problem is of:

r = 2.7 feet.

Then the circumference of the circle is of:

C = 2π x 2.7 = 17 feet.

(replacing r by it's numeric value).

The entire circumference is equivalent to 2π radians. The car traveled 1.6 radians, hence the distance traveled is given as follows:

Distance = 1.6/2π x 17 = 4.33 feet.

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Brad and Allison have three girls. Brad tells Allison that he would like one more child because they are due to have a boy. What do you think of​ Brad's logic?

Answers

Brad's logic is flawed and does not hold any scientific basis. The gender of a child is determined by the combination of genetic factors from both parents

. Each pregnancy is an independent event, and the probability of having a boy or a girl is not influenced by the gender of the previous children. The belief that having a certain number of children of one gender increases the likelihood of having a child of the opposite gender is known as the "gamblers fallacy" or "Monte Carlo fallacy." In reality, the probability of having a boy or a girl remains approximately 50% for each pregnancy, regardless of the gender composition of the existing children.

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four subtracted from 9​

Answers

Answer:

5

Step-by-step explanation:

9 - 4 = 5

Hope This Helps

Have a great day!!!!!!

What is the measure of angle C? A. 92° B. 105° C. 120° D. 130°

Answers

Answer:

D 130 degrees

Step-by-step explanation:

got it right on the test

Answer:

130

Step-by-step explanation:

Consider the following two systems (a) 1-2 - Ay (2x + 7y 3 -3 (b) 1-2-4y = 2 122 + 7 = 14 Find the Inverse of the common coefficient matrix of the two wysterns. form 01) Find the solutions to the two systems by using the inverse, ie, by evaluating AB were represents the right hand sides (a) and B - (4) for system (b) y Solution to system (a) = Solution to system (b):

Answers

The solution to system (a) = [-4 5y/3] and the solution to system (b) = [6 2y -8].

Therefore, Solution to system (a) = Solution to system (b): [-4 5y/3] = [6 2y -8]

Given the following two systems,(a) 1-2 - Ay (2x + 7y 3 -3(b) 1-2-4y = 2 122 + 7 = 14 Here, we need to find the inverse of the common coefficient matrix of the two systems and then solve the two systems using the inverse by evaluating AB where A represents the coefficient matrix of (a) and (b) represents the coefficient matrix of (b).

Common coefficient matrix of the two systems, A = 1 -2-7y2 3

Here, we need to find the inverse of A.

The inverse of A is given by,A-1 = 1/3 [3 -2 -7y-2 1 2y]The right-hand sides of the system (a) and (b) are given by, For system (a), B1 = -3For system (b), B2 = [12 2].

Therefore, the solutions to the two systems by using the inverse are given by, For system (a), X1 = A-1B1 = 1/3 [3 -2 -7y-2 1 2y] [-3]= [-4 5y/3]

For system (b), X2 = A-1B2 = 1/3 [3 -2 -7y-2 1 2y] [12 2]T= [ 6 2y -8].

Thus, the solution to system (a) = [-4 5y/3] and the solution to system (b) = [6 2y -8].

Therefore, Solution to system (a) = Solution to system (b): [-4 5y/3] = [6 2y -8]

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