Airlines sometimes overbook flights. Suppose that for a plane with 30 seats, 32 tickets are sold. From historical data, each passenger shows up with probability of 0.9, and we assume each passenger shows up independently from others. Define the random variable Y as the number of ticketed passengers who actually show up for the flight. (a) What is the p.m.f of Y? (b) What is the expected value of Y? What is the variance of Y? (c) What is the probability that not all ticketed passengers who show up can be ac- commodated? (d) If you are the second person on the standby list (which means you will be the first one to get on the plane if there are any seats available after all ticketed passengers have been accommodated), what is the probability that you will be able to take the flight?

Answer:

Number of terms: 2

Degree: 1

Step-by-step explanation:

✔️A term can either be a coefficient with a variable, a variable, or a constant.

In the polynomial given, 10y + 2, there are two terms:

First term is a coefficient with a variable = 10y

Second term is a constant = 2

The two terms are: 10y and 2

✔️Degree of a polynomial is the highest exponents possessed by any of its term.

10y has an exponent of 1.

The degree of the polynomial therefore will be 1

Charlie

Here, we want to check if polynomials is closed under subtraction or not

To check this, we proceed either ways, if the answer is same, then it is closed. If otherwise, then it is not

We have;

As we can see, both results are not equal

If subtraction was closed under polynomials, then the results of both should have been equal. This means Charlie is correct.

Hello

To solve this question, we would solve for the area of the semi-circle and area of the rectangle.

The dimensions of the rectangle is

Area of a rectangle is given as

The area of the rectangle is 6600m^2

The formula of area of a semi-circle is

But the radius would be half the value of the width of the training field

Area of the semi-circle is

The area of the semi-circle is 1709.73m^2

The area of the training field is area of the rectangle + 2(area of the semi-circle)

NB: We are multiplying the area of the semi-circle by 2 because we have two semi-circle attached to the rectangle

The area of the training pitch is

From the calculations above, the area of the training pitch is 10019.46m^2

Answer:

A

Step-by-step explanation:

The first one is -2x + 3

The seconf one is -2x +7

Look, same slope.

Answer:

d

Step-by-step explanation:

when fractions have the same whole which here is 9 you can just look at the first letters

so one is the smallest

Answer:

1/9 or D

Step-by-step explanation:

8/9 = About 0.89 = 89%

5/9 = About 0.56 = 56%

2/9 = About 0.22 = 22%

1/9 =  About 0.11 = 11%

The reason it is D is that it has a low fraction, decimal number, and percent.

after dilating the point ( 9 , 9 ), we get the point as ( 3 , 3 ) with the scale factor as 1 / 3.

We are given a point:

( 9 , 9 )

We have the scale factor as:

1 / 3

We need to dilate the point using the scale factor.

So, we get that:

( 9 × 1 / 3 , 9 × 1 / 3 )

= ( 3 , 3 )

Therefore, after dilating the point ( 9 , 9 ), we get the point as ( 3 , 3 ) with the scale factor as 1 / 3.

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Answer:

72%

Step-by-step explanation:

18*4=72%

Answer:

\(\frac{27y^6}{8x^{12}}\)

Step-by-step explanation:

1) Use Product Rule: \(x^ax^b=x^{a+b}\).

\((\frac{3x^{-5+2}{y^3}}{2z^0yx}) ^3\)

2) Use Negative Power Rule: \(x^{-a}=\frac{1}{x^a}\).

\((\frac{3\times\frac{1}{x^3} y^3}{2x^0yx} )^3\)

3) Use Rule of Zero: \(x^0=1\).

\((\frac{\frac{3y^3}{x^3} }{2\times1\times yx} )^3\)

4) use Product Rule: \(x^ax^b=x^{a+b}\).

\((\frac{3y^3}{2x^{3+1}y} )^3\)

5) Use Quotient Rule: \(\frac{x^a}{x^b} =x^{a-b}\).

\((\frac{3y^{3-1}x^{-4}}{2} )^3\)

6) Use Negative Power Rule: \(x^{-a}=\frac{1}{x^a}\).

\((\frac{3y^2\times\frac{1}{x^4} }{2} )^3\)

7) Use Division Distributive Property: \((\frac{x}{y} )^a=\frac{x^a}{y^a}\).

\(\frac{(3y^2)^3}{2x^4}\)

8) Use Multiplication Distributive Property:  \((xy)^a=x^ay^a\).

\(\frac{(3^3(y^2)^3}{(2x^4)^3}\)

9) Use Power Rule: \((x^a)^b=x^{ab}\).

\(\frac{27y^6}{(2x^4)^3}\)

10)  Use Multiplication Distributive Property:  \((xy)^a=x^ay^a\).

\(\frac{26y^6}{(2^3)(x^4)^3}\)

11) Use Power Rule: \((x^a)^b=x^{ab}\).

\(\frac{27y^6}{8x^12}\)

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Answer:

\(\displaystyle \frac{27y^{6}}{8x^{12}}\)

Step-by-step explanation:

\(\displaystyle \biggr(\frac{3x^{-5}y^3x^2}{2z^0yx}\biggr)^3\\\\=\biggr(\frac{3x^{-5}y^2x}{2}\biggr)^3\\\\=\frac{(3x^{-5}y^2x)^3}{2^3}\\\\=\frac{3^3x^{-5*3}y^{2*3}x^3}{8}\\\\=\frac{27x^{-15}y^{6}x^3}{8}\\\\=\frac{27y^{6}x^3}{8x^{15}}\\\\=\frac{27y^{6}}{8x^{12}}\)

Notes:

1) Make sure when raising a variable with an exponent to an exponent that the exponents get multiplied

2) Variables with negative exponents in the numerator become positive and go in the denominator (like with \(x^{-15}\))

3) When raising a fraction to an exponent, it applies to BOTH the numerator and denominator

Hope this helped!

Answer:

D. y= -5/2x - 1

Step-by-step explanation:

Hope this helps. Sorry if it doesn't

The alternative and hull hypotheses is H₀: P=0.03, H₁: P≠0.03.

Given that,

According to a representative of the Ohio Department of Education, 3% of graduating high school seniors in Ohio have dropped out in recent years. Out of the 600 pupils enrolled, 30 students from Podunk High School dropped out of school last year.

We have to find is there enough data to say that this school's dropout rate is higher than the state average. Using symbols and words, state the alternative and hull hypotheses.

We know that,

n is 600,

3% Ohio high school seniors dropout.

30 dropout out of 600 in Podunk high school.

Here,

H₀: μ₁=μ₂  vs   H₁:μ₁≠μ₂

In coordinates,

H₀⇒ dropout number is equal for both schools.

H₁⇒ dropout number not equal for both schools.

H₀: P=0.03, H₁: P≠0.03.

Therefore, The alternative and hull hypotheses is H₀: P=0.03, H₁: P≠0.03.

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The chances of your bar having the golden ticket are still 80%.

The chances of your bar having the golden ticket in it are still 80%.

Even though the other students have opened their bars and found no golden ticket, the probability of the golden ticket being in the remaining bar has not changed.

The fact that the other students opened their bars and found nothing does not affect the probability of your bar containing the golden ticket.

Therefore, the chances of your bar having the golden ticket are still 80%.

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Step-by-step explanation:

|14- c| = 15

=> 14 - c = 15 or 14 - c = -15

=> c = -1 or c = 29.

Answer:

Question 1: B

Question 2: D

Question 3: D

Step-by-step explanation:

\(2x^{2}\)+4x-3x-6

group and simplify

(2x-3)(x+2)

The number 6 will be the first to be removed from the stack.

To determine which number will be the first to be removed from the stack when the values 6, 2, 7, 13, 5, and 4 are added in that order, we need to consider the Last-In-First-Out (LIFO) principle of stack data structures.

In a stack, the most recently added element is the one that is at the top of the stack and the first to be removed. As each number is added to the stack, it becomes the new top element.

Given the order of values added to the stack, the sequence would be as follows:

6 (top) -> 2 -> 7 -> 13 -> 5 -> 4 (bottom)

Since 6 is the first value added to the stack, it will be at the top and will be the first to be removed when performing stack operations.

Therefore, the number 6 will be the first to be removed from the stack.

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Answer:

X is 5

Step-by-step explanation:

The amount of blue paint required = 3/2 cups

Ratio:

Comparing two or more quantities that have units is known as the Ratio. It shows the numerical relation between two quantities like how small or big a quantity is when compared to each other.

The general form of a ratio is a: b

Here we have,

2/3 cups of white paint and 2 and 2/3 cups of blue paint

Then ratio of white to blue paint = 2/3 : 2 (2/3)

= 1:2   [ divided by 2/3 ]

In the second condition, we have 3/4 cups of white paint, here we want to give the same shade then the ratio of paint must be the same as above

Let x be the amount of blue paint that we need  

Then the ratio of white paint to blue = 3/4: x

From the given condition,

=>  3/4 : x  = 1 : 2

=> 3/4 / x = 1/2

=> 3/4x = 1/2  

=> 3(2) = 4x(1)

=> x = 6/4 =

=> 3/2

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Answer:

(-5, -7)

Step-by-step explanation:

if you rotate the point by 270 degrees counterclockwise, you get (5,-7) and I'm guessing image is another way to say reflection so after it is reflected then the point would be (-5,-7)

Answer:

a repeating term of .3

Step-by-step explanation:

1/3 = 1 divided by 3

1 divided by 3 = .33333333333333333333

that is called a repeating term

\(\frac{1}{3}\) = .3

Answer: 1/3 is .3333333 on going

it cant be a whole number

Answer:

Part A

Scale factor

= 1 : 175

Part B

52.5 mm

Part C

99.4%

Step-by-step explanation:

Justin is working with a microscope that magnifies objects to 175 times their actual size.

Part A

Enter a number in each box to determine the scale factor for the microscope.

= 1 : 175

Part B

The diameter of an amoeba cell is 0.30 millimeter. How big will the cell appear to Justin under the microscope?

Scale factor =

1 : 175

Diameter of the Amoeba cell = 0.3mm

1mm = 175 mm

0.3mm = x

Cross Multiply

x = 0.3 × 175

x = 52.5 mm

Part C

What is the percent increase of the area of the amoeba cell under the microscope?

Increase = 52.5 mm - 0.3mm

= 52.2 mm

Percent increase

= 52.2/52.5 × 100

= 99.4%

The standard equation for the tangent plane to the graph of `f(x, y) = 4x² + 4xy + y²` at the point `(-1, 1, 1)` is `z = -4x + 2y + 1`.

To find the standard equation of the tangent plane to the graph of a given function `f(x,y)` at a point `P(x₀,y₀,z₀)`, we use the following steps:

Find the partial derivatives of `f(x,y)` with respect to `x` and `y` as `fₓ(x,y)` and `fᵧ(x,y)`, respectively.

Evaluate `f(x,y)` at the given point `P(x₀,y₀,z₀)` to get `f(x₀,y₀) = z₀`.Plug the values of `x₀, y₀, z₀, fₓ(x₀,y₀)`, and `fᵧ(x₀,y₀)` into the following standard equation for the tangent plane:`z - z₀ = fₓ(x₀,y₀)(x - x₀) + fᵧ(x₀,y₀)(y - y₀)`

Now, let's use these steps to find the standard equation of the tangent plane to the graph of `f(x,y) = 4x² + 4xy + y²` at the point `(-1,1,1)`:

Partial derivatives of `f(x,y)` are:`fₓ(x,y) = ∂f/∂x = 8x + 4y``fᵧ(x,y) = ∂f/∂y = 4x + 2y`

Evaluate `f(x,y)` at the point `(-1,1,1)`:`f(-1,1) = 4(-1)² + 4(-1)(1) + 1² = -3`So, `x₀ = -1`, `y₀ = 1`, and `z₀ = -3`.

Substitute these values, and `fₓ(x₀,y₀) = 8(-1) + 4(1) = -4`, and `fᵧ(x₀,y₀) = 4(-1) + 2(1) = 2`into the standard equation of the tangent plane:

`z - (-3) = -4(x - (-1)) + 2(y - 1)`

Simplify and write in standard form:`z = -4x + 2y + 1`

Therefore, the standard equation for the tangent plane to the graph of `f(x, y) = 4x² + 4xy + y²` at the point `(-1, 1, 1)` is `z = -4x + 2y + 1`.

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Answer:

The fossil is 0.254 meters long.

Step-by-step explanation:

254 millimeters is equal to 25.4 centimeters, which is equal to 0.254 meters.

The angle of depression formed by the cable is approximately 41.4 degrees.

The angle of depression is the angle formed by the horizontal line and the line of sight from the observer to an object that is lower than the observer's position. In this case, the observer is at the top of the tower and the object is at the end of the cable that is stretched to a point 350 feet away from the base of the tower.

To find the angle of depression, we can draw a diagram as follows:

where h is the height of the tower, d is the horizontal distance from the base of the tower to the point where the cable is attached, and θ is the angle of depression that we want to find.

From the diagram, we can see that

tan(θ) = h / d

We know that the length of the cable is 500 feet and the horizontal distance from the base of the tower to the point where the cable is attached is 350 feet. We can use the Pythagorean theorem to find the height of the tower:

h^2 = 500^2 - 350^2

h = sqrt(500^2 - 350^2)

h = 300

Now we can substitute the values we have found into the equation for tan(θ) to get:

tan(θ) = 300 / 350

θ = tan^-1(300/350)

θ ≈ 41.4 degrees

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The best answer from the choices provided is b. employers.The friends, neighbors, and teachers do not typically have access to Credit report, employers may request it under specific Circumstances .

Your credit report contains sensitive financial information and is typically accessed by entities that have a legitimate need for it. While friends, neighbors, and teachers do not typically have a legitimate reason to access your credit report, employers may request access as part of their hiring process, especially when evaluating candidates for positions that involve handling financial matters or require a certain level of trust.

Employers may request your credit report to assess your financial responsibility, integrity, and overall suitability for a particular role. However, it's important to note that employers must comply with legal requirements and obtain your consent before accessing your credit report. In some jurisdictions, laws and regulations govern the permissible use of credit reports for employment purposes.

It's crucial to be aware of your rights and protections regarding the access and use of your credit report. In many countries, individuals have the right to review their credit reports, dispute inaccuracies, and request corrections. Additionally, credit reporting agencies are required to follow specific procedures to ensure the security and privacy of your credit information.

while friends, neighbors, and teachers do not typically have access to your credit report, employers may request it under specific circumstances and with your consent.

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Answer:

they are the inverse of each other and they are reciprocals.

Step-by-step explanation:

1/10 is the reciprocal of 10/1

Answer:

It should be five units

Step-by-step explanation:

I graphed this situationa and measured the length so 5 units is the best option here

Yes, the point (9, 2) satisfies the equation y = x - 7. To verify this, substitute the x and y values from the point into the equation:
y = x - 7
2 = 9 - 7
By evaluating the right side of the equation, we find that:
2 = 2

To determine whether the point (9, 2) satisfies the equation y = x - 7, we simply substitute the values of x and y into the equation and check if it holds true.
So, plugging in x = 9 and y = 2, we get:
2 = 9 - 7
Simplifying the right-hand side, we get:
2 = 2
Since this equation is true, we can conclude that the point (9, 2) satisfies the equation y = x - 7.
In conclusion, the answer is yes, the point (9, 2) satisfies the equation y = x - 7.
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Answer:

The mean would be 5.5

Step-by-step explanation:

You have to add all the number of games together. Which is 4+5+6+7=22 then divide by 4 which would give you 5.5.

Using concepts of probability, it is found that there is a 4.7% probability that it arrives in Philadelphia (PHL).

In this question, researching the problem on the internet, we have that over a large number of flights, of those which arrived on time, 4.7% of them were in Philadelphia, hence:

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It depends on the scale of the Eulalia's map.

It depends on the scale of the Eulalia's map.

If the scale of Eulalia's map is 1:1, then Eulalia really did measure 14miles.

If the scale of Eulalia's map is something other than 1:1, the Eulalia measured the distance

on the map that was something other than 14 miles and used the scale of Eulalia's map to

convert the map distance to actual distance.

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