7x - 4y < 10 -3x + 8y > 2

The probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

To solve this problem using a normal approximation, we need to calculate the mean (μ) and standard deviation (σ) of the binomial distribution and then use the normal distribution to approximate the probability.

Given:

Probability of an airline flight arriving on time (success): p = 0.84

Number of trials (flights): n = 400

Number of flights arriving on time (successes): x > 240

First, we calculate the mean and standard deviation of the binomial distribution using the following formulas:

Mean (μ) = n * p

Standard Deviation (σ) = √(n * p * (1 - p))

μ = 400 * 0.84 = 336

σ = √(400 * 0.84 * 0.16) = √(53.76) ≈ 7.33

Now, we can use the normal distribution to find the probability that more than 240 flights will arrive on time. Since we're interested in the probability of x > 240, we will calculate the probability of x ≥ 241 and then subtract it from 1.

To use the normal distribution, we need to standardize the value of 240:

z = (x - μ) / σ

z = (240 - 336) / 7.33

z ≈ -13.13

Now, we can find the probability using the standard normal distribution table or a calculator. Since the value of z is extremely low, we can approximate it as:

P(x > 240) ≈ P(z > -13.13)

From the standard normal distribution table or calculator, we find that P(z > -13.13) is essentially 1 (close to 100%).

Therefore, the probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

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The intersection points are: (0, -3) and (10, 2)

The bounded area is -20.83 unit²

(a) The  intersection points of the line and curve are the points where the line and curve meet. Thus, the intersection points are:

(0, -3) and (10, 2)

(b) The integral terms of y which gives the area bound are:

a = -3, b = 2 (These are the y values of the intersection points)

Since we have x = y² + 3y and x = 2y + 6, we can say:

y² + 3y = 2y + 6

y² + 3y - 2y - 6 = 0

y² + y - 6 = 0

Thus, h(y) =

Using a = -3 and b = 2  with h(y) = y² + y - 6, we have the bounded area as:

\(Area = \int\limits^b_a {y} \, dy\)

\(Area = \int\limits^{2}_{-3} {(y^{2} + y - 6}) \, dy\)

Integrating the area:

Area = [y³/3 + y²/2 - 6y + C]²₋₃

Area = [2³/3 + 2²/2 - 6(2)] - [(-3)³/3 + (-3)²/2 - 6(-3)]

Area = [8/3 + 2 - 12] - [-9 + 4.5 + 18]  

Area = [-22/3] - [27/2]

Area = -125/6

Area = -20.83 unit²

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Answer:

B. Seraphina is not correct. The sum of the squares of the two legs of the triangle is not equal to the square of the hypotenuse.

Step-by-step explanation:

If KLM is a right triangle, then 12^2+16^2=19^2,

144+256 = 361

400 = 361 false

so, KLM is not a right triangle as the sum of the squares of the two legs are not equal to the square of the hypotenuse.

The sum of the squares of the two legs of the triangle is not equal to the square of the hypotenuse. Seraphina is incorrect.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

Seraphina says that ΔKLM is a right triangle.

Let us check whether triangle ΔKLM is a right triangle or not.

By the Pythagoras theorem, we have

19² = 16² + 12²

361 = 256 + 144

361 ≠ 400

Thus, the triangle is not a right triangle.

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The system of equations is.

\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)

And the solutions are y = 50 and x = 10.

Let's define the two variables:

With the given information we can write two equations, then the system will be:

\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)

Now let's solve it.

We can isolate x on the first  to get:

\(\text{x} = 60 - \text{y}\)

Replace that in the other equation to get:

\(15\times(60 - \text{y}) + 10\text{y} = 800\)

\(-2\bold{y} = 900 - 800\)

\(-2\bold{y} = 100\)

\(\text{y} = \dfrac{100}{-2} = \bold{50}\)

Then \(\bold{x=10}\).

Therefore, the solutions are y = 50 and x = 10.

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Answer:

?????

Step-by-step explanation:

In what do you need primitive function?

Answer: choice A 1/2

Step-by-step explanation:

Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true.

so

1/3=2/3*p(B)

p(B)=1/2

Given:

sarah yost took out a 48 month

installment loan 17000

monthly payments of 423.05

Required:

Answer:

50*32=16.00

Step-by-step explanation:

Answer:

  C)  25°

Step-by-step explanation:

You want the base angles in an isosceles triangle with vertex angle 130°.

The base angles of an isosceles triangle are congruent. If each is represented by 'b', then the sum of angles in the triangle is ...

  2b +130° = 180°

  2b = 50° . . . . . . . . subtract 130°

  b = 25° . . . . . . . divide by 2

The base angles of the triangle are 25°, choice C.

<95141404393>

Answer:

-32

Step-by-step explanation:

9(-3) + (-15) ÷ 3 =

-27 + -5 = -32

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:-32

Step-by-step explanation:

Answer:

c I believe

Step-by-step explanation:

can you help me with my question The strange occurrences reported by the chambermaid who cleaned Dr. Heidegger's den (In Paragraph 3 of "Dr. Heidegger's Experiment") are examples of A. personification. B. symbolism C. elements of gothic literature,

Answer:

C

Step-by-step explanation:

i took the same test

Answer: bus B because 47 days out of 50 days is greater than 95%

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

2x5=10

Answer:

The least common denominator is 10

Answer:

4/420=105

Step-by-step explanation:

decompose 42 and divide by 4 is 10 and is 20 divided by 4 is 5

Answer:

The measure of CD is 46

Step-by-step explanation:

From the midpoint theorem, we have,

FG = (1/2)CD

so,

\(13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2\)

Now,

\(CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46\)

After solving the equations, we know that a total of 25 ladies attended the party.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others.

So, take dudes as x and ladies as y.

Now, form the required 2 equations as follows:
2x + y = 45 ...(1)

x + y = 35 ...(2)

Work on equation (2):

x + y = 35

x = 35 - y

Now, substitute x = 35 - y in equation (1):

2x + y = 45

2(35-y) + y = 45

70 - 2y + y = 45

-y = -25

y = 25

Since ladies were charged $1 for each ticket, then 25 ladies attended the party.

Therefore, after solving the equations, we know that a total of 25 ladies attended the party.

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Answer: this is 4

Step-by-step explanation: A+b=2+2=4

Answer:

1/32

Step-by-step explanation:

Answer:

the answer to this is

A) nonlinear

Step-by-step explanation:

this is not linear because the line is not a line that goes in 1 direction. It has points of an increase and decrease so it is non linear

Answer:

it is not linear

Step-by-step explanation:

It is not a linear line because it is not going straight

Answer:

727 adults

Step-by-step explanation:

In a survey of 1914 adults, 38% responded "yes" to the survey question.

=> The number of adults who answered "yes":

N = 1914 x 38/100 = 727.32 = ~ 727

Answer:

727 adults

Step-by-step explanation:

Number of adults = 38% of 1914

                             = 0.38 * 1914

                             = 727.32

                            ≈ 727 adults

Answer:

option 4

Step-by-step explanation:

\(m \angle MNO = \frac{1}{2} \times m MN\\\\\)

              \(= \frac{1}{2} \times 150 \\\\= 75^ \circ\)

Answer:

567 miles

Step-by-step explanation:

9 hours x 63 miles per hour = 567 miles total

Answer:

Step-by-step explanation:Perpendicular lines have a slope that is the negative reciprocal of the given line.

For example, if a given line has the slope 3/2, the the perpendicular line would have the slope -2/3.

For the given line: y = 4x - 7, the perpendicular line would have a slope of -1/4

There isn't enough info in the question to determine the y-intercept. Literally, any y-intercept could work and the line would still be perpendicular. Is the line supposed to pass through a certain point?

Your answer would be something like: y = -1/4 x + b

b is the y-intercept...if your question paper is multiple choice, choose the answer with the slope of -1/4. If it's supposed to pass through a certain point (x,y) replace x and y with the values in that point and solve for b to get the y-intercept.

Step-by-step explanation:

I just answered this.

we have 2 angles and their connecting side in between that are congruent (identical).

so, it is D. ASA (angle side angle)

just look up the meaning of the acronyms, and it will all be clear and very easy.

Answer:

no idea

Step-by-step explanation:

Answer:

452.16

Step-by-step explanation:

Answer:

the answer I got is option number three i.e 4

Answer:

B) It rises to the left and falls to the right

Step-by-step explanation:

Degree: odd (5) and leading coefficient (negative) (-2)

Answer: B rises to the left and falls to the right

Step-by-step explanation:

Answer:

7 cm

Step-by-step explanation:

divide 56 by 8

area=length×width

width=area÷length

=56÷8=7 cm

Answer:

$3467 - $1213.45 (35%)

B