Calculating Binomial Probabilities - Suppose you work for an airline and you are taking reservations for a flight on an aircraft that has 152 seats. You know, based on historical flights trends, that if you sell a single ticket there is a 91% chance that the person with the ticket will actually show up for the flight. You decide to try to make a little extra money by overbooking your flight and you sell 160 tickets hoping that not more than 152 people will actually show up for the flight (note: this is a common business practice! Click here to watch a video that explains why)
Explain how this scenario meets the four requirements in the definition of a Binomial Distribution.
Identify what n and p are in this example
Use technology (StatCrunch, Statdisk, or Excel) to calculate the probability that if you sell 160 tickets for your flight, more passengers will show up than there are seats available (again, the plane has 152 seats total). Post an image of your technology output using the Insert/Edit Image feature in Blackboard (no attachments!)
Based on this probability, do you think it is a wise business practice to oversell your flight in this manner? Explain.

Answer:

[tex]y = \frac{5}{4} x + 25[/tex]

Step-by-step explanation:

We were told that the equation of the line we are looking for is perpendicular to

[tex]y = - \frac{4}{5} x + 5[/tex]

We know that the gradient of perpendicular lines when multiplied is equal to -1, therefore

[tex] line \: .1 \times \: line \: .2 = - 1 \\ \\ \frac{4}{5} \times line \: .2 = - 1 \\ \\ line \: .2 = \frac{ - 1}{ \frac{4}{5} } [/tex]

[tex]line\: .2 = \frac{5}{4} \: \: \: \: y = 15 \: \: \: \: x = - 8 \\ \\ y = mx + c \\ \\15 = ( \frac{5}{4} ) - 8 + c \\ \\ 15 = - 10 + c \\ 15 + 10 = c[/tex]

[tex]25 = c \\ \\ therefore \: the \: equation \: of \: the \: line \: is \: \\ \\ y = \frac{5}{4} x + 25[/tex]

Answer:

F

Step-by-step explanation:

Evaluating the expression :

4 is clearly a rational number.

Hence, the right option is F.

Answer:

Step-by-step explanation:

Blue triangle

a = 4x + 2

b = 5x - 4

c = 7x + 7

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perimeter = a + b + c

4x + 2 + 5x - 4 + 7x + 7

16x + 5

Blue triangle Perimeter = 16x + 5

--------------------------------------------------

Red triangle

a = x + 3

b = x + 7

c = 2x - 5

perimeter = a + b + c

x + 3 + x + 7 + 2x - 5

4x + 5

Red triangle Perimeter = 4x + 5

-----------------------------------------------------

The difference between

Larger triangle -> Blue

Smaller triangle -> Red

(16x + 5) - (4x + 5) = 12x

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Perimeter when x = 3

Blue triangle Perimeter = 16x + 5

16*3 + 5 = 53

Red triangle Perimeter = 4x + 5

4*3 + 5 = 17

Answer:

280 seats

Step-by-step explanation:

40*7 = 280

Answer:

18

Step-by-step explanation:

Answer:

No graph was provided but Ive attached my own

Step-by-step explanation:

f(x) = 3x + 4 → y = mx + b

y - intercept (b) is 4

slope (m) is 3 so the rise / run = 3 / 1

Answer:

the answer I believe will be 25.16

last option is the answer to the question

Answer:

$4,900

Step-by-step explanation:

[tex]\frac{\mbox{number of shares}}{\mbox{annual dividend}} = \frac{5,000}{1.04}[/tex]

This simplifies to 4807.7, which you can round to $4,900.

Answer:

x=2

Step-by-step explanation:

We must equate f(x)=g(x) ;

x+3=2x^2-3

2x^2-x-6=0, when we solve for x in this equation we get 2 solutions:

x=2, x=-1.5

Since -1.5 is not seen in the table, we consider the value 2.

At x=2 in the table both f(x) and g(x) have the same value 5 and proves f(x)=g(x) has a solution at x=2.

Answer:

x = 2

Step-by-step explanation:

Given:

f(x) = |x| + 3

g(x) = 2x² - 3

From inspection of the table, the equation f(x) = g(x) has a solution when

x = 2 as this is the only value of x when the two functions have the same value of 5.

See attached graph for proof.  The points of intersection are the solutions:  (-2, 5) and (2, 5).  (Since x = -2 is not in the given table, this is not included in the answer to this question).

Answer:

see the attachment.

the answer is $ 32. 40/ Year

Answer: A, B

Step-by-step explanation:

A and B are unique to parallel lines, C and D are not.

Answer:

The side b is 2√6 unit

Step-by-step explanation:

in right triangle ΔABC,∠C=900,a=5,c=7;c is

the side opposite to the right angle, so it is hypotenuse,

aandb are the adjacent sides of the right angle .

We know in right triangle ΔABC,a²+b²=c²

∴5²+b²=7²or

b²=49−25=24

∴√b²=√24

b=√24

b=2√6

. The side b is 2√6 unit [Ans]

AB = 7 cm

CB = 5 cm

AC = 2√6cm

According to Pythagoras Theorem,

AC²=BC²+AB²

(2√6)²=5²+7²

24=25+49

24=74

Hence, it is not a right-angled triangle ABC.

Answer:1.  72.5

Step-by-step explanation: in number one you add so is equal to 0.2 ÷ 14.5

number to we put 1÷25(42,000) so is equal to 1680 the we substract 42000-1680=40,320

Answer:5

Step-by-step explanation:

Answer:

Step 1: Determine the prime factors of the number under the root. Step 2: Write the prime factors in groups. Step 3: Simplify any multiplication and exponents. Step 4: Simplify the radical until no further simplification can be done.

Step-by-step Have explanation:

a great day

Answer:

58.5; 300; 196.5

Step-by-step explanation:

Area of triangle 1 = (1/2) * 9 * 13 = 58.5 inches^2

Area of whole figure = (1/2) * (14+26) * 15 = 300 inches ^2

Area of shaded region = 300 - 58.5 - [(1/2) * 6 * 15] = 241.5 - 45 = 196.5 inches^2

the following statement is true

Answer:

Getting sum 6 when rolling two dice

Answer:

-6/4

Step-by-step explanation:

equivalent, that means something that is equal to so if you break -6/4 to the lowest you get -6/4

Answer:

6.6

Step-by-step explanation:

41.4-15 = 26.4

26.4 divided by 4 equals 6.6

Idil would need to ride an average of 6.6 miles per day for the next 4 days to meet her goal of 41.4 miles for the week.

To find the average number of miles Idil would have to ride each day to meet her goal, we can use the following formula:

Average miles per day = (Total miles - Miles already ridden) / Number of days remaining

Given information:

Total miles she wants to ride = 41.4 miles

Miles already ridden = 15 miles

Number of days remaining = 4 days

Now, let's calculate the average miles per day:

Average miles per day = (41.4 - 15) / 4

Average miles per day = 26.4 / 4

Average miles per day = 6.6

So, Idil would need to ride an average of 6.6 miles per day for the next 4 days to meet her goal of 41.4 miles for the week.

Learn more about the miles at https://brainly.com/question/28935014

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Answer: 21

Step-by-step explanation:

The measure of the tangent to the circle CD = 21

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle

Given data ,

Let the 2 tangents to the circle be AE and BD respectively

The measure of the line segment BD = 56

Now , the ratio of the line AE is

AC : AE = 5 : 3

The measure of AE = measure of CD

Let the value of AC = 5x

Let the value of AE = 3x

Now , the measure of AE = measure of BD

Substituting the values in the equation , we get

5x + 3x = 56   be equation (1)

On simplifying the equation , we get

8x = 56

Divide by 8 on both sides of the equation , we get

x = 7

Now , the measure of CD = 3x

Substituting the value of x in the equation , we get

CD = 3 ( 7 ) = 21

Therefore , the measure of CD = 21

Hence , the measure of CD = 21

To learn more about circle click :

https://brainly.com/question/28391204

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e is the Exponential Constant or Euler's Number.

It has a value of 2.718281828...

[tex]\huge\mathfrak\colorbox{white}{}[/tex]

e to the n is given by:

[tex]\huge{e}^{n}= [\sum_{k=0}^{∞} (\frac{{n}^{k}}{k!})][/tex]

Problem 16

Work Shown:

[tex]2ax - 5x = 2\\\\x(2a - 5) = 2\\\\x = \frac{2}{2a-5}\\\\[/tex]

I factored out x, then divided both sides by (2a-5)

=========================================================

Problem 17

Work Shown:

1 yard = 3 feet

1/3 yard = 1 foot

x/3 yards = x feet

In the second step, I divided both sides by 3. Afterward, I multiplied both sides by x.

#16

Option C

#17

So

Answer:

3rd one

Step-by-step explanation:

Answer:

Where is the picture????

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's use slope - point form of line to get the required equation ~

[tex]\qquad \sf  \dashrightarrow \:y - y_1 = m(x - x_1)[/tex]

where,

Now, let's put in the values ~

[tex]\qquad \sf  \dashrightarrow \:y - 6= \dfrac{5}{9} (x - 9)[/tex]

[tex]\qquad \sf  \dashrightarrow \: y - 6 = \dfrac{5}{9} x - 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: y = \dfrac{5}{9} x - 5 + 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: y = \dfrac{5}{9} x + 1[/tex]

So, the correct choice is A

Answer:

the answer will be (A)

Step-by-step explanation:

i think the closest will be the first option..

(sorry that i made a mistake earlier)

hope it helps .. please mark brainliest ♡

Answer:

the answer is A

Step-by-step explanation:

5 - 9 round up

1 - 4 round down