Find the values of x and y.

The probability of the flight being overbooked is 0.38742 or 38.7%.

To calculate the probability of the flight being overbooked, we need to use a probability formula. In this case, we can use the binomial probability formula. The formula is as follows:

[tex]P(x) = ^nC_x * p^x * q^{(n-x)}[/tex]

Where:

P(x) is the probability of x number of events occurring.

n is the total number of trials.

p is the probability of success.

q is the probability of failure.

nCx is the number of ways to choose x items from a set of n items.

Let's say a plane has 8 seats. The airline sells 10 tickets for this flight. The probability of all ten passengers showing up for the flight is quite low. Based on past experience, the airline knows that only 90% of ticketed passengers usually show up for a flight. This percentage is also known as the "show-up rate."

In our case:

n = 10 (total number of passengers)

p = 0.9 (probability of a passenger showing up)

q = 0.1 (probability of a passenger not showing up)

We want to find the probability of having more than 8 passengers show up, which would mean the flight is overbooked. To do that, we need to calculate the probability of having 9 or 10 passengers show up. We can use the formula to calculate this:

P(9 or 10) = P(9) + P(10)

P(9 or 10) = ¹⁰C₉ x 0.9⁹ x 0.1¹ + ¹⁰C₁₀ x 0.9¹⁰ x 0.1⁰

P(9 or 10) = 0.38742 or 38.7%

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Complete Question:

Airlines usually overbook for a flight (sell more tickets than the numbers of available seats). They do this because they know from past experience that only 90% of ticketed passengers actually show up for the flight.

A plane has 8 seats. If the airline sells 10 tickets for this flight, what is the probability that the flight will be overbooked?

Answer:

20 + .50M   = 10 + .80M     subtract .50M, 10 from both sides

10  = .30M     divide both sides by .30

10 / .30  = M   =  about 33 + 1/3 miles driven equalize the cost

[Jana used  " -.50M"  in the original set up instead of  " +.50M"   ]

Step-by-step explanation:

Answer: x = 6 (look at the image for the solution)

Step-by-step explanation:

Answer: the answer is 35

Step-by-step explanation:

find the pythageoran theorem of the thing and then solve

The spot on the shoreline is moving at a rate of about 1.764 feet per minute when it is 13 feet from the point on the shoreline closest to the lighthouse.

What is differentiation?

Differentiation is a mathematical operation that is used to find the rate at which a function changes. More specifically, it is the process of finding the derivative of a function.

The derivative of a function at a given point is a measure of how quickly the function is changing at that point. It gives the slope of the tangent line to the graph of the function at that point. The derivative can be thought of as the instantaneous rate of change of the function at that point.

Let's call the point on the shoreline closest to the lighthouse "P". We know that the distance from the spotlight to P is 130 feet, and we want to find the rate at which the distance from the spotlight to P changes when the spotlight is 13 feet from P.

To do this, we can use the chain rule to differentiate the distance formula with respect to time. Let's call the distance between the spotlight and P "d". Then:

                           d²= 130² + x²

Taking the derivative of both sides with respect to time gives:

                   2d * dd/dt = 0 + 2x * dx/dt

We can solve for dd/dt by plugging in the values we know:

130² + 13² = d²

d = [tex]\sqrt{(130^2 + 13^2)}[/tex] = 130.325 ft

2(130.325) * dd/dt = 2(13) * dx/dt

dd/dt = (13/130.325) * dx/dt

We know that the spotlight revolves at a rate of 281 rad/min, or 281/2π ≈ 44.7 revolutions per minute. Each revolution of the spotlight covers a distance of 2π * 130 feet, so its speed is:

(2π * 130 ft/rev) * (44.7 rev/min) = 18410.8 ft/min

To find dx/dt when x = 13, we need to find the angular velocity of the spotlight at that point. The spotlight makes one full revolution every 60/14 ≈ 4.29 seconds, so its angular velocity is:

2π radians/rev ÷ 4.29 s/rev = 1.47 radians/s

At any given moment, the angle between the spotlight and the line connecting the lighthouse and P is equal to the arctangent of x/130. When x = 13, this angle is:

arctan(13/130) ≈ 5.71°

The rate at which the angle is changing is equal to the angular velocity of the spotlight, so we can use the formula for the derivative of the arctangent to find dx/dt:

dx/dt = 130 * tan(5.71°) * (1.47 radians/s)

dx/dt ≈ 17.602 ft/min

Finally, we can substitute this value into the expression we found for dd/dt:

dd/dt = (13/130.325) * 17.602

dd/dt ≈ 1.764 ft/min

So the spot on the shoreline is moving at a rate of about 1.764 feet per minute when it is 13 feet from the point on the shoreline closest to the

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Answer:

maximum value = 135

Step-by-step explanation:

the maximum value is situated at the right end of the whisker.

each division on the number line is 5 units

so maximum value = 125 + 2 units = 125 + 10 = 135

The Statement which is true is (c) the smaller the standard deviation, the more concentrated the data will be.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

A standard deviation close to zero indicates that data points are close to the mean, whereas a high or low standard deviation indicates data points are respectively above or below the mean.

The smallest possible value for the standard deviation is 0, and that happens only in contrived situations where every single number in the data set is exactly the same

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Answer: The inverse of the function y = 2^x^2 - 4 is not a function because it is not a one-to-one function.

Step-by-step explanation:

The inverse of a function is a reflection of the original function over the line y = x. To find the inverse of the function y = 2^x^2 - 4, we need to switch the variables x and y and then solve for x.

y = 2^x^2 - 4

x^2 = log2(y + 4)

x = sqrt(log2(y + 4))

However, this expression is not the inverse of the original function because it is not a one-to-one function, meaning that the same output can have multiple inputs. For example, log2(10) = 3 and log2(14) = 3.5, so sqrt(log2(10)) = sqrt(3) = sqrt(log2(14)) = sqrt(3.5). This means that for y = 10, x can be either sqrt(3) or sqrt(3.5), which is not allowed in a function.

Therefore, the inverse of the function y = 2^x^2 - 4 is not a function.

Answer:

$13.53

Step-by-step explanation:

Let's call the cost of a pepperoni pizza x.The total cost of the cheese and pepperoni pizzas before tax and tip is 1 * $11.00 + 3 * x = $57.59 - $3.00Simplifying the expression on the right side: $54.59 - $3.00 = $51.59Now we can solve for x:1 * $11.00 + 3 * x = $51.593 * x = $51.59 - $11.003 * x = $40.59x = $13.53So each pepperoni pizza costs $13.53

The height of the plane is 1023 meters and the height of the tree is 307 feet.

Given the data in question 9, this forms a right-triangle.

To determine the height of the plane x, we use trigonometric ratio

Tangent = Opposite / Adjacent

tan( 12 ) = x / 4812m

x = tan( 12 ) × 4812m

x = 1023m

Therefore, the height of the plane is 1023 meters.

Option A) 1023 meters is the correct answer.

Given the data in question (10)

Solve for x using trigonometric ratio,

Tangent = Opposite / Adjacent

tan( 62 ) = x / 160ft

x = tan( 62 ) × 160ft

x = 301ft

Now, height of the tree will be;

Height = x + height of tool

Height = 301ft + 6ft

Height = 307 ft

Therefore, the height of the tree is 307 feet.

Option D) 307 feet is the correct answer.

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The most likely option (b) to be possible is making a grouped frequency table from an ordinary frequency table.

A frequency table is a way of organizing data into classes or categories based on the number of times a particular observation or value occurs.

Now, let's examine the options provided. Making a grouped frequency table from an ordinary frequency table is possible, as we can simply group the values into intervals and calculate the frequencies for each interval. This allows us to better visualize and understand the distribution of the data.

Making a normal curve from a bimodal distribution is not possible, as a bimodal distribution has two distinct peaks or modes, while a normal distribution has only one. A normal curve is symmetrical and bell-shaped, and represents a continuous distribution of values.

Making an ordinary frequency table from a grouped frequency table is also possible, as we can simply list the intervals or classes and their corresponding frequencies, without the need to group them into intervals.

Finally, making a bimodal distribution from a normal curve is possible, as we can add two normal distributions with different means and standard deviations to create a bimodal distribution. However, it is important to note that a bimodal distribution may not always be appropriate for the given data.

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PLEASE GIVE BRAINLIEST!
thank you and have a good day :)

Answer:

27%

Step-by-step explanation:

a percent is a part of 100

so if we get the denominator to 100, the numerator is the percent of the equation

54/200

in order to get 200 to 100, we have to divide by 2.

however we have to divide the numerator aswell as if we don't, we simply just half the equation.

54/2 = 27

200/2 = 100

27/100 is the new equation. referring back to the first statement, i made, the numerator would be the percent of the equation that is a part of 100

27%.

54/200 is equal to 27/100. all we did was divide both the numerator and denominator by 2.

Answer:

The answer is 26

Step-by-step explanation:

Answer:12

16

20

44 these are the answers

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can write the area of the rug as:

Area = 49x^2 - 25y^2

To find possible dimensions of the rug, we need to factor the expression on the right side. We can factor out 49 and 25 to get:

Area = 49 * x^2 - 25 * y^2

Area = 7 * 7 * x^2 - 5 * 5 * y^2

So, the area of the rug can be written as the product of two binomials, each of which represents one of the side lengths.

Therefore, one possible set of dimensions for the rug is 7x and 5y, and another possible set is -7x and -5y. Note that the dimensions are related in that the width of the rug is proportional to 7x, and the length is proportional to 5y.

To make the rug a square, the sides must be equal in length. To find the value that would need to be subtracted from the longer side and added to the shorter side, we take the difference between the two possible side lengths:

7x - 5y = (7x + 5y) - 2 * 5y = (7x + 5y) - 10y

So, to make the rug a square, you would need to subtract 10y from the longer side (7x) and add 10y to the shorter side (5y). This would result in both sides being equal to (7x + 5y)/2, making the rug a square.

Since the mode is the most frequently occurring data value so -

Option D : None of the alternatives is correct.

What is mode?

A mode is described as the value in a group of values that occurs more frequently. The value that appears the most frequently is called mode.

The distribution of the mean, median, and mode values will depend on how skewed the distribution is.

The total dependency of mean, median and mode of data is on the asymmetric form of the data.

As a result, mean or mode may be larger than or less than mode.

Therefore, the mode is neither large than mean or median and can never be larger than mean.

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Answer:

option A is the correct answer.

Answer:

2.3333 inches

Step-by-step explanation:

To find the appropriate scale factor, we need to determine how many times smaller the piece of paper is compared to the dog. We can start by finding the ratio of the length of the paper to the length of the dog:

3 inches / 9 inches = 1/3

Similarly, the ratio of the width of the paper to the height of the dog is:

5 inches / 7 inches = 5/7

So, the smaller of these two ratios, 1/3, is the appropriate scale factor for Meredith to use in her drawing. This means that the length of the dog in the drawing will be 9 inches * 1/3 = 3 inches, and the height will be 7 inches * 1/3 = 2.3333 inches.

Answer:

A.  Correct

B.  Correct

C.  Not correct

D.  Correct

E.  Not correct

Step-by-step explanation:

We are told that Michael's race numbers are:

5.25 miles

45.75 minutes

Divide the miles by the minutes to get mIchael's running rate:

0.114754098 mi/min

This result matches option B. " Michael's average pace was about 0.11 miles per minute."

======

Check all the answer options:

A. Michael's unit rate of minutes per mile was about 8.7.  

  Take 0.11475409 mi/min and invert it to find min/mile:

      1/(0.11475409 mi/min) = 8.71 min/mile

This is a correct statement.

B. Michael's average pace was about 0.11 miles per minute.

From above:  This is a correct statement.

C. Michael's unit rate of minutes per mile was about 6.9.

Take the given numbers:   (45.75 minutes)/(5.25 miles) = 8.71 min/mile

This is not a correct statement.

D. Michael's average speed during the race was about 6.9 miles per hour.  

Take the calculated rate of 0.11475409 mi/min and covert it to miles/hour:

  Use the conversion factor (60 min/1 hr)

   (0.11475409 mi/min)*((60 min/1 hr)) = 6.89 miles/hr

This is a correct statement.

E.  Michael ran about 8.7 miles in 1 minute.

We know from above that he runs at 6.89 miles per hour.  Running 8.7 miles in 1 minute  would mean he is running at (8.7)*(60) = 413 miles/hour.    

Perhaps he had some good energy bars, but the data do not support this conclusion.

This is not a correct statement.

Answer: Shirt-$12 Hat-$5

Step-by-step explanation:

14T + 6H = 198

10T + 6H = 150

4T=48

T=12$

10(12)+6H = 150

120 + 6H =150

H = 5$

Answer:

Shape of the graph is exponentially decreasing

The horizontal asymptote is y = 0

The y intercept is at x = 0 and is at y = 3/2

Graph attached

Step-by-step explanation:

Not sure what exactly the question is asking for.

Here is what I figured out

Shape of the graph is exponentially decreasing

The horizontal asymptote is y = 0

The y intercept is at x = 0 and is at y = 3/2

We can also rewrite this equation as:

[tex]g(x) = \dfrac{3}{2} \cdot \dfrac{2}{3} \cdot \left(\dfrac{2}{3}\right)^{x-1}\\\\\\= \left(\dfrac{2}{3}\right)^{x-1}[/tex]

Answer: If the army regiment had 400 soldiers with provisions for 80 days, the food would last each soldier for 80 days / 400 soldiers = 0.2 days per soldier.

If 80 soldiers moved out, the number of soldiers remaining in the regiment would be 400 soldiers - 80 soldiers = 320 soldiers.

Since the amount of provisions has not changed, the food would last for 80 days / 320 soldiers = 0.25 days per soldier.

Therefore, the food would last the 320 soldiers for 0.25 days * 320 soldiers = 80 days.

Step-by-step explanation:

The student needs a minimum score of 84.5 on the fourth test to ensure a grade of B.

To find the minimum score the student needs on the fourth test, we can use the formula for the average of four numbers:

Average = (sum of the numbers) / 4

We know that the student needs an average of at least 80 to earn a grade of B, and we also have the scores for the first three tests: 77, 77.25, and 81.25. So, we can set up the equation:

80 = (77 + 77.25 + 81.25 + x) / 4

where x is the score the student needs on the fourth test. Solving for x:

80 = (235.5 + x) / 4

320 = 235.5 + x

x = 320 - 235.5

x = 84.5

So, the student needs a minimum score of 84.5 on the fourth test to ensure a grade of B.

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Answer:

Step-by-step explanation:30 x 2 = 60 because 8:9 get simplify by 2 and you just times the 30 with 2

Answer:

Let the common multiple be x

John's score is 8x Peter's is 9x

8x/9x-30=4/3

24x=36x-120

12x=120

x=10

John's score is 8 x 10=80

Correct me if im wrong:)

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A total of [tex]10 + 4 + 4 = \boxed{18}[/tex] three-digit numbers that satisfy the given property.

Let the three-digit number be written as abc, where a, b, and c are the hundreds, tens, and ones digits, respectively. We want b to be the absolute value of half the difference between a and c. In other words, we want b = [tex]\left|\frac{a-c}{2}\right|.[/tex]

Since a, b, and c are digits, we know that [tex]0 \leq a, b, c \leq 9.[/tex] Since b is the absolute value of a number, we know that b is non-negative.

Case 1: [tex]a \geq c[/tex]

If [tex]a \geq c[/tex], then[tex]b = \frac{a-c}{2}[/tex]. Since b must be non-negative, we have two

subcases to consider:

Subcase 1: a=c

In this subcase, b=0, which means that the number abc is of the form a00, where [tex]0 \leq a \leq 9[/tex]. There are 10 such numbers.

Subcase 2: a>c

In this subcase, [tex]b = \frac{a-c}{2}[/tex] is a positive integer. Since a and c must have the same parity (i.e., they are either both even or both odd), we have two

sub-subcases to consider:

Sub-subcase 1: a and c are both even

In this sub-subcase, a and c are both integers between 0 and 8 inclusive (since they are even and cannot be equal to 0 or 9). There are 4 such pairs of values for a and c: (2,0), (4,2), (6,4), and (8,6). For each pair, the value of b is uniquely determined, so there are 4 corresponding numbers abc.

Sub-subcase 2: a and c are both odd

In this sub-subcase, a and c are both integers between 1 and 9 inclusive (since they are odd and cannot be equal to 0 or 8). There are 4 such pairs of values for a and c: (9,7), (7,5) , (5,3), and (3,1). For each pair, the value of b is uniquely determined, so there are 4 corresponding numbers abc.

Case 2: a < c

If a < c, then[tex]b = \frac{c-a}{2}[/tex]. Since b must be non-negative, we have only one

subcase to consider:

Subcase: c- a is even

In this subcase, c-a is an even integer between 2 and 8 inclusive (since it cannot be equal to 0 or 9). There are 4 such even integers: 2, 4, 6, and 8. For each even integer, the values of a and c that satisfy c-a are uniquely determined, and the value of b is then uniquely determined. So there are 4 corresponding numbers abc.

Putting everything together, we have a total of [tex]10 + 4 + 4 = \boxed{18}[/tex] three-digit numbers that satisfy the given property.

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To find the multiplicative inverse of an element in a set, we need to find another element in the set that, when multiplied by the first element, gives the multiplicative identity element. All elements in the set have a multiplicative inverse except for 0.

To find the multiplicative inverse of an element in a set, we need to find another element in the set that, when multiplied by the first element, gives the multiplicative identity element (usually 1).

For example, in the set {1, 2, 3, 4, 5} under multiplication modulo 6, we have:

The multiplicative inverse of 1 is 1 (1 x 1 = 1 mod 6).

The multiplicative inverse of 2 is 4 (2 x 4 = 8 = 1 mod 6).

The multiplicative inverse of 3 is 5 (3 x 5 = 15 = 3 x 1 = 1 mod 6).

The multiplicative inverse of 4 is 2 (4 x 2 = 8 = 2 x 4 = 1 mod 6).

The multiplicative inverse of 5 is 3 (5 x 3 = 15 = 3 x 5 = 1 mod 6).

Note that every element in the set has a multiplicative inverse except for 0. This is because any number multiplied by 0 is 0, not 1.

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The value of x for the similar triangles is given as follows:

x = 40.5.

Similar triangles share these two features:

A bisection divides a triangle into two similar triangles, hence the proportional relationship for the side lengths is given as follows:

x/45 = 18/20

18/20 = 0.9, hence:

x/45 = 0.9

x = 45 x 0.9

x = 40.5.

Meaning that the fourth option is the correct option.

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The expression for the amount of money Eric has after he pays his brother back is x- 17.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

Given:

Eric owes his brother $17.

let x be the amount of money Eric got for his birthday.

If Eric gave the money back to his brother then he left with

= x - 17

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Answer: 3,020,000

Step-by-step explanation:

three million twenty thousand

Answer: 3,020,000

Step-by-step explanation: 3,000,000 + 20,000 = 3020000

The total cost of the computer is $2418.75.

The total cost of the computer in sale $2,056.

The computer is regularly priced at $2250.

With the 15% discount, Jerome would save = $2250 × 15%

With the 15% discount, Jerome would save = $2250 × 15/100

With the 15% discount, Jerome would save = $337.50 on the computer

The sales tax is 7.5%.

So the tax on the computer would be = $2250 × 7.5%

The tax on the computer would bee = $2250 × 7.5/100

The tax on the computer would be = $168.75

The total cost for the computer on sale would be = $2250 - $337.50

The total cost for the computer on sale would be = $1,912.5

If the tax is 7.5% .

So he has to pay = $1,912.5 + $1,912.5 × 7.5% = $2,056

Therefore, the total price for the computer on sale would be $2,056,

The price of the computer not on sale = $2250 + $168.75 = $2418.75.

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