point b is between A and C. if AC = 3x+3, BC = 2x-1, and AB = 11. Find the length of BC

the probability that at least flights are on time is

P(7) + P(8) + P(9) + P(10)

To calculate the probability that at least a certain number of flights are on time using the binomial distribution, we need the probability of success (p), the number of trials (n), and the desired number of successful trials.

Let's assume we have the following information:

Probability of a flight being on time: p = 0.8 (80%)

Number of flights: n = 10

To find the probability that at least a certain number of flights are on time, we need to sum the probabilities of the desired number of successful trials and all higher numbers of successful trials.

Let's say we want to find the probability of at least 7 flights being on time.

P(at least 7 flights on time) = P(7) + P(8) + P(9) + P(10)

Using the binomial probability formula: P(x) = C(n, x) * p^x * (1-p)^(n-x)

where C(n, x) represents the number of combinations of n items taken x at a time.

Calculating the probabilities: P(7) = C(10, 7) * (0.8)^7 * (0.2)^(10-7) P(8) = C(10, 8) * (0.8)^8 * (0.2)^(10-8) P(9) = C(10, 9) * (0.8)^9 * (0.2)^(10-9) P(10) = C(10, 10) * (0.8)^10 * (0.2)^(10-10)

Finally, we sum up these probabilities to get the probability of at least 7 flights being on time.

P(at least 7 flights on time) = P(7) + P(8) + P(9) + P(10)

Performing the calculations will give us the specific probabilities and the final probability.

Complete Question :- According to an​ airline, flights on a certain route are on time 75​% of the time. Suppose 24 flights are randomly selected and the number of​ on-time flights is recorded.

​(a) Explain why this is a binomial experiment.

​(b) Find and interpret the probability that exactly 14 flights are on time.

​(c) Find and interpret the probability that fewer than 14 flights are on time.

​(d) Find and interpret the probability that at least 14 flights are on time.

​(e) Find and interpret the probability that between 12 and 14 flights, inclusive, are on time.

To know more about probability, visit

https://brainly.com/question/31828911

#SPJ11

Answer:

Option (3). x < 3

Step-by-step explanation:

Given function is a logarithmic function,

\(y=\text{ln}[\frac{(-x+3)}{2}]\)

We know that logarithm is defined for all positive real numbers except zero.

\(\frac{(-x+3)}{2}>0\)

(-x + 3) > 0

-x > -3

x < 3

That means the given logarithmic function is defined for all real values lees than 3.

And the domain of the function will be x < 3

Option (3) will be the answer.

Answer:

x < 3        Option C on E2020.

Step-by-step explanation:

No, the given differential equation is not exact. To determine if a differential equation is exact, we need to check if the partial derivatives of the terms involving y satisfy the condition ∂M/∂y = ∂N/∂x, where the equation is in the form M(x, y) + N(x, y)y' = 0.

In this case, M(x, y) = 2x - 9 and N(x, y) = (2y + 2). Computing the partial derivatives, we have:

∂M/∂y = 0

∂N/∂x = 0

Since ∂M/∂y is not equal to ∂N/∂x, the differential equation is not exact.

Therefore, we cannot find a general solution for this differential equation. The solution is DNE (does not exist).

Learn more about derivatives here:

https://brainly.com/question/25324584

#SPJ11

Answer:

c

Step-by-step explanation:

7^5 means that there are 5 7s eg 2^4 would be 2×2×2×2

Answer:

120

Step-by-step explanation:

5!, called 5 factorial is the product of all positive intergers from 5 down though 1. by definition, 0! is 0.

Factorials are basically the number times itself-1 the 2 the 3 until it times it by itself-(itself-1). n!=n*(n-1)*n(n-2).....*n-(n-1).

For example 2!=2*1=2 and 6!=6*5*4*3*2*1=720

keep in mind that I am not an expert so the blanks I filled in might be wrong and the explanation might have errors

5!, called "5 factorial," is the product of all positive integers from 5 down through 1. By definition, 0! is equal to 1.

Factorial is a mathematical operation denoted by an exclamation mark (!). It represents the product of all positive integers from a given number down to 1. In the case of 5!, it is calculated as 5 × 4 × 3 × 2 × 1, resulting in the value of 120.

The exclamation mark notation allows us to represent the factorial of a number concisely. For example, 5! represents the factorial of 5. It is important to note that 0! is defined to be equal to 1. This is a special case in factorial calculations. While it may seem counterintuitive, it is defined this way to maintain consistency and enable certain mathematical calculations and formulas.

Therefore, 5! is the product of all positive integers from 5 down through 1, equaling 120, and 0! is defined to be 1.

Learn more about Factorial here:

https://brainly.com/question/30136880

#SPJ11

Answer:

£84

Step-by-step explanation:

The total cost of the dishwasher is: £372

The deposit she makes is: £36

Thus, she still has to pay the following amount:

£372 - £36 = £336

And this amount will be divided into 4 equal monthly payments. So, we must divide the amount that she still has to pay by 4.

Each one of this monthly payments will have a value of:

£336 ÷ 4 = £84

the answer is that each monthly payment will be of £84

Answer:

I love these kind of problems (yes I'm kidding,... lol) your answer is below,...

Step-by-step explanation:

To find the area of the whole shape lets view it as three seprate rectangles,... then we will find the area of the three seperate shapes and add the areas together,... (english scholler voice): "Quite simple really"

For "simplicitys sake" lets view the shape as a house blueprint, no house I would want to live in, but a house non-the-less,... you have the main part of the house (the largest rectangle, the 13yd x 24yd one) the hallway in the middle (the 14yd x 6yd rectangle) and finally the really ridiculous sized I-du-know,... kitchen (the 5yd x 17yd one) Sooo,... lets go,...!

First of all if you didn't follow how I got the three rectangles then it's "quite simple really!" all I did is: take the oppposite side of the very far left side (the one that says 24yd) where is says 7yd and 11yd and because we know that the 7yd + 11yd + the-part-that-we-don't-know-how-long-is, is all = to 24yd then we know that the part that is not labled (the "doorway" from the main part of the house to the hallway) has to be 6yd because 7yd + 11yd + 6yd = 24yd,... AND know we know that that side of the "hallway" is 6yd, so the "hallway" is 6yd x 14yd,... So,...

13yd x 24yd = YES!... 312yd

14yd x 6yd = RIGHT again!... 84yd

5yd x 17yd = YOU are SO LIT,... yes it's 85yd

Alright so we have 312yd and 84yd and 85yd,... all we have to do is add 'em all up and you will have the area of your houseprint,... You got it!

312yd + 84yd + 85yd = (drum roll please,...)  481yd,...

The area of you shape is 481yd,...

So glad to have worked with ye and me thinks that that hopefully helped,...

CHOW,...!

Answer:

Thank youuu. i needed this. i haven't been doing too good lately because of school and my dad and everything. i really needed to hear this. thank you

Step-by-step explanation:

It will take 5 months for there to be 50 volunteers in total. Let's set up an equation to represent the situation. Let "m" represent the number of months, and "n" represent the total number of volunteers.

We know that initially there are 15 volunteers, so n = 15. Every month, the number of volunteers increases by 7, so the equation becomes: n = 15 + 7m. We want to find the number of months it takes for there to be 50 volunteers, so we can set up the equation as follows: 50 = 15 + 7m.

Subtracting 15 from both sides of the equation, we get: 35 = 7m. Dividing both sides of the equation by 7, we find: m = 5. Therefore, it will take 5 months for there to be 50 volunteers in total.

To learn more about  total number   click here: brainly.com/question/14286201

#SPJ11

To make a table of values for a linear relationship;

Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value

Given,

Linear relationship;

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.

Here,

We have to make a table of values for a linear relationship;

Learn more about linear relationship here;

https://brainly.com/question/27965422

#SPJ4

Answer:

\(x=-10-8 = -18\)

Step-by-step explanation:

Answer:

x=-10-8=18

Step-by-step explanation:

The value of the x is option b. 9√3.

Right angled triangle are those triangle for which one of the angle is 90 degrees.

Given figure is a right angled triangle because it is marked in the figure.

For right angled triangle, we have the Pythagoras theorem,

Hypotenuse² = Base² +  Altitude²

Given,

Length of hypotenuse = 18

Length of base = 9

Substituting in the Pythagoras theorem,

18² = 9² + x²

x² = 18² - 9²

x² = 243

x² = 81 × 3

x = √(81 × 3)

x = 9√3

Hence the value of the unknown side is 9√3.

Learn more about Right Angles here :

https://brainly.com/question/3770177

#SPJ1

Step-by-step explanation:

linear

8+2x=18

2x=10

x=5

A partial fraction calculator is a tool used to decompose a rational function into simpler fractions, known as partial fractions.

A partial fraction calculator is a tool used to decompose a rational function into simpler fractions. It is commonly used in algebra and calculus to simplify complex expressions and solve equations. The partial fraction calculator takes a rational function as input and breaks it down into simpler fractions that can be more easily integrated or manipulated. This process involves finding the partial fraction decomposition of the rational function by factoring the denominator into linear and quadratic factors and then solving for the coefficients of the partial fractions. This calculator can be useful for students, engineers, and anyone working with complex algebraic expressions.

Learn more about partial fractions:

https://brainly.com/question/30404141

#SPJ4

Answer: last option

Step-by-step explanation: every value can be divided by 21

Answer: D)

Step-by-step explanation: 21 x 6 = 126, 21 x 8 = 168, and 21 x 9 = 189

Mark had to pay 70 percent of the original price.

What is percent?

A % in mathematics is a quantity or ratio that is stated as a fraction of 100 (from the Latin per centum, "by a hundred"). Even though the acronyms "pct.", "pct.", and even "pc" are also employed the percent symbol, "%," is frequently used to indicate it. A percent lacks dimensions and has no associated unit of measurement. The ratio's numerical value is multiplied by 100 to obtain the percent value. The Latin word per centum, which means "hundred" or "by the hundred," is where the word "percent" originates. The Italian word per cento, which means "for a hundred," gradually shrank to become the symbol for "percent."

Mark paid = $385

Original price = $550

Percent what Mark pay = (385/550) x 100 percent

                                       = 70 percent

Hence, Mark had to pay 70 percent of the original price.

To know more about percents, click on the link

https://brainly.com/question/1053881

#SPJ13

For an increase of 6% the multiplier is 1.06

If we have a value A, and we want to increase it by a percentage X, the formula that we need to use to find the new value is:

new value = A*(1 + X/100%)

Where the multiplier is (1 + X/100%).

Here the percentage is 6%, then the multiplier for this case will be:

(1 + 6%/100%) = (1 + 0.06) = 1.06

The new value would be:

new value = A*1.06

Learn more about percentages at:

https://brainly.com/question/843074

#SPJ1

Cheri collected 145 number of 5 peso coin and 156 number of 10 peso coin during her family's annual outreach

An equation is used to show the relationship between numbers and variables.

Let x represent the number of 5 peso coins and y represent the number of 10 peso coin

At the end of the year, she has saved a total of Php 2285, hence:

5x + 10y = 2285    (1)

Also, she has 11 more 10 pesos than 5 peso coins, hence:

y = x + 11    (2)

Solving both equations using elimination method gives:

x = 145, y = 156

Cheri had 145 number of 5 peso coin and 156 number of 10 peso coin.  

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

what grade are you??..........

Answer:

0.5%

Step-by-step explanation:

The appropriate value of the t-multiple required for a 99% confidence estimate with a sample size of 25 is 2.797.

To find the appropriate value of the t-multiple for a 99% confidence estimate with a sample size of 25, we need to consider the degrees of freedom. The degrees of freedom for a sample is equal to the sample size minus 1. In this case, the sample size is 25, so the degrees of freedom would be

25 - 1 = 24.

Next, we consult a t-distribution table or use statistical software to find the t-value corresponding to a 99% confidence level and 24 degrees of freedom. The t-value represents the number of standard errors we need to account for in our confidence interval calculation.

Looking up the t-value, we find that it is approximately 2.797 when rounding to three decimal places.

Therefore, the appropriate value of the t-multiple required for a 99% confidence estimate with a sample size of 25 is 2.797. This means that we would multiply the standard error by 2.797 when constructing a confidence interval for the population mean.

To know more about appropriate value, visit:

https://brainly.com/question/14424718

#SPJ11

Answer:

4.78

Step-by-step explanation:

Answer:

c = $20.00 - $0.75(9)

Step-by-step explanation:

Multiply the cost of each book by the total number of books. Then, subject that from 20.

The height of the tree is solved to be 36 feet

In general, the term "proportion" refers to a part, share, or amount that is compared to a whole.

According to the definition of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilized.

The height of the tree is calculated using proportions

If man's height is 4 feet at 2 feet, then the height of the tree is calculated by

4 ft = 2 ft

? = 18 ft

cross multiplying

2 * ? = 4 * 18

? = 2 * 18

? = 36 ft

Using this proportion, the tree is 36 feet high

Learn more about proportions at:

https://brainly.com/question/870035

#SPJ1

Complete question:

Kono divides The numerator and the denominator of 48 over 72 by the greatest common factor to simplify the fraction in one step by what number does he divide

Answer:

2/3

Step-by-step explanation:

Given the number : 48 / 72

Obtain the greatest common factor of 48 and 72

- - - - 48 - - - - 72

- 2-- 24 - - - - 36

- 2 - 12 - - - - - 18

- 2 - 6 - - - - - - 9

- 3 - 2 - - - - - - 3

The greatest common factor of 48 and 72 is hence (2 * 2 * 2 * 3) = 24

Hence, divide both the numerator and denominator by 24 ;

Numerator = 48/24 = 2

Denominator = 72 / 24 = 3

= 2/3

The distance between the church and the art gallery is approximately 1102.19 meters, obtained using trigonometric calculations.

To find the distance between the church and the art gallery, we can use trigonometry and the information given about the angles of depression.

Let's assume that the distance between the church and the art gallery is x meters.

When the balloon is at a height of 900m, the angle of depression to the church is 28 degrees. This forms a right triangle with the height of the balloon (900m) as the opposite side and the distance to the church (x) as the adjacent side. Using trigonometry, we can find the adjacent side as x = 900 / tan(28°).

Similarly, when the balloon rises to a height of 1000m, the angle of depression to the art gallery is 19 degrees. Again, this forms a right triangle with the height of the balloon (1000m) as the opposite side and the distance to the art gallery (x) as the adjacent side. Using trigonometry, we can find the adjacent side as x = 1000 / tan(19°).

Now, we have two equations for x, obtained from the two different heights of the balloon. By solving these equations, we can find the value of x, which represents the distance between the church and the art gallery.

Using these calculations, the distance between the church and the art gallery is approximately 1102.19 meters.

Learn more about a Triangle here: brainly.com/question/2773823

#SPJ11