96% of all air travel departs on time. If you are taking 3 flights in one day, what is the probability that all of them depart on time?

Answers

Answer 1

Answer:  0.884736

Step-by-step explanation:

Given: The proportion of all air travel departs on time: p= 0.96

Total flights : n= 3

Let x be the number of flights on time.

As there are two cases either flight on time or not, so it is a binomial case.

Binomial distribution formula: [tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex]

The probability that all of them depart on time = [tex]P(X=3)=\ ^3C_3(0.96)^3(1-0.96)^0=(1)(0.96)^3=0.884736[/tex]

The probability that all of them depart on time = 0.884736


Related Questions

A person places $4760 in an investment account earning an annual rate of 1.6%, compounded continuously. Using the formula V=PertV = Pe^{rt}V=Pert, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 7 years.

Answers

Answer:

$5324.12

Step-by-step explanation:

Given that the principal p= $4760

rate r= 1.6%  1.6/100 =0.016  

time t= 7years

by applying the expression

[tex]V = Pe^{rt}[/tex]

We have

[tex]V = 4760e^{0.016*7}\\\\ V=4760e^{0.112}\\\\ V=4760*1.11851286065\\\\ V=$5324.12[/tex]

Hence after 7 years the money in the account will be $5324.12

Please help btw the answer not 40

Answers

Answer: x=20

Step-by-step explanation: 40/2=20

X = 20 I think, I’m not sure

Is this a function, Explain.

Answers

No this is not a function

State if each triangle is acute, obtuse, or right.
2)
392 ft
14 ft
197 ft
B) Acute
A) Right
C) Obtuse

Answers

Hi!

Your answers should be : 1. Obtuse | 2. Acute | 3. Obtuse

Here's a little tip for you to remember if you cant get an answer off of brainly: if its 90ft (or degrees or what ever you want to call it) then its right, if its over 90ft its Obtuse, and if its under 90ft its Acute.

Hope this helps!

Let me know if you need anymore help!

Yours truly,

~~~PicklePoppers~~~

I have a square garden that has an area of 324. What is length of one side?​

Answers

Answer:

81

Step-by-step explanation:

The shape is a square so it has all equal sides.

324/4=81

Combine the like terms to create an equivalent expression:
-2x-x+8

Answers

Answer:

-3x+8

Step-by-step explanation:

-2x-x+8=

-3x+8

How much would you spend if your meal cost $37.24 and you want to leave an 18% tip?

Answers

Answer:

43.94 in total

Step-by-step explanation:

18% of 37.24 is 6.70 which would be the tip and adding those two numbers together would equal 43.94

Hope this helps. Plz give brainliest.

Answer: 37.42

Step-by-step explanation: first you need to add and point to the 18% like this 0.18 and add it to the first number

Nine more than three times x is at least 15

Answers

Answer:

3x+9 ≥15

Step-by-step explanation:

three times x

3x

9 more than

3x+9

is at least 15

3x+9 ≥15

At a pumpkin patch you choose a pumpkin weighing 9.5 pounds and pay $4.75. What is the cost per
pound of the pumpkin?

Answers

its $0.5 because when you divide 4.75 by 9.5 you come out with 0.5 and when you multiply 0.5 to 9.5, you come out with 4.75, the number you started out with
hope this helped! :)

What is the rate of change of the following equation?
y = X-3

Answers

The rate of change would be -3. On a graph it will be moving to the left. How come there isn’t a m that’s the slope??

If f(x)=2x(With an exponent of 2) -3, find f(-2)

[tex]f\left(x\right)=2x^2-3f ( x ) = 2 x 2 − 3 find f\left(-2\right)f ( − 2 ).[/tex]

Answers

Answer:

  5

Step-by-step explanation:

Put -2 where x is and do the arithmetic.

  f(x) = 2x² -3

  f(-2) = 2(-2)² -3 = 2(-2)(-2) -3 = 8 -3

  f(-2) = 5

Answer:

f(-2) = 5

Step-by-step explanation:

We just need to substitute x with -2 and simplify.

f(x) = 2x² - 3

f(-2) = 2(-2)² - 3

f(-2) = 2(4) - 3

f(-2) = 8 - 3

f(-2) = 5

Best of Luck!

15 points :) ill mark BRAINIEST

Answers

Answer:

7 = 7x - 48

Step-by-step explanation:

Use point slope formula: y - y1 = m(x - x1)

Find slope:

(8 -(-6)) / (8 - 6)

14/2

m = 7/1

Subsitute x1 and y1, solve for y.

y - 8 = 7(x - 8)

y - 8 = 7x - 56

y = 7x - 48

plzzz answer these i will make you brainliest

Answers

Answer:

6. (x,y) -> (x,y-4)

7. (x,y) -> (-x,y)

Step-by-step explanation:

6. You shift it 4 units down. Y makes things go up and down.

7. Youre flipping it over the Y axis. It doesnt change the Y values, only the X.

Solve the equation for x.



-7(x - 2) + 5(3 - x) = 4x - 3

Answers

Answer:

x=2

Step-by-step explanation:

-7x+14+15-5x=4x-3

-12x+29=4x-3

-12x-4x=-29-3

-16x=-32

x=-32/-16

x=2

Answer: x=2

Step-by-step explanation:

Simplify the equation

-12+29= 4x-3

Subtract 29 from both sides

12x=4x-32

Subtract 4x from both sides (Simplify)

-16x=-32

Divide both sides by -16

x=2

Pls explain the how you got the answer for me: On a random Monday in the spring, 95% of students are present at school. If there are 589 students present, then how many total students are enrolled answers: A. 620
B. 589
C. 58909
D. 560​

Answers

The answer should be 620

Answer:

A

Step-by-step explanation:

.95* S = 589 where S is the # of students in the school

S = 589/.95= 620

Help pls I don’t get it

Answers

Me neitherrrrrrrrrrrrrr

|x/3|=1

please help me <3

Answers

the correct answer is -3

A triangle has vertices A(2, 2) , B(- 3, 5) and C(0, - 1) . Find the area of the triangle?

Answers

Answer: thas really confusing

Step-by-step explanation:

Point F is on line segment EG. Given FG = 3x – 5, EF = x
, and
EG = 5x – 8, determine the numerical length of FG.

Answers

Answer:

3

Step-by-step explanation:

the whole line equals

5x-8 as well as x+3x-5

since it equals both we know the equation is

5x-8=x+3x-5 simplify to 4x-5

5x-8=4x-5

-5x.    -5x

-8=-1x-5

+5.     +5

-3= -1x

-/.     -/

3=x

we now can double check our work by putting 3 everywhere the x is

EG =7

FG= 4

making EF 3

It took Chris four minutes less than twice the amount of time as Holly to complete her homework. It took Holly thirty minutes to complete her homework. Write a numerical expression to describe the amount of time it took Carrie to complete her homework. Use parentheses for multiplication and do not put any spaces in your expression.

Answers

Answer:

30-4=26/2=13

Step-by-step explanation:

30-4=26

26/2=13

What's the answer to this?
A. B. C. or D? ​

Answers

A. k’ moved up 3 units

The side lengths of the rectangle (16, 32) are reduced by a scale factor of 1/4. What is the area of the new rectangle?

Answers

Answer:

32 i think

Step-by-step explanation:

16 divided by 4 is 4

32 divided by 4 is 8

4*8=32


The fraction models below represent two fractions of the same whole. How many
7\10s are there in 1/5 ?

Answers

Answer:1 im pretty sure

Step-by-step explanation:

lin's dad bought a tablet. he pays the same amount each month for a subscription to a movie streaming service.the graph represents how much money he spent,y, for the tablet and x months of the service. Which graph corresponds to this situation?​

Answers

Answer: Graph 1

Step-by-step explanation:

At 0 months, Lin's dad had already spent money to buy the tablet so the line should not start at 0. That rules Graphs 4, 5 and 6 out.

He pays the same amount every month so the movement from a point in the x axis to represent a month, should tally with a movement in the y axis that will be equal each time. This rules out Graphs 2 and 3 as the movements on Y are not equal on the line.

This leaves Graph 1 which means that Lin's dad paid $10 for the tablet and then pays $5 every month for a subscription to a movie streaming website.

In this exercise, we have to recognize the best graph that corresponds to what is treated in the text, that is, the graph that best corresponds to a monthly fee, in this way we find that it is:

Graph 1

First, we are dealing with finances in this way, we have that a tablet has already been purchased so our chart will not start at the null point (x=0) but from the value of the purchased item. In this way, we know that graphics 4, 5 and 6 must be excluded.

In addition to the purchased item, we know that the monthly fee is the same amount every month as long as this program exists  so the movement from a point in the x axis to represent a month, should tally with a movement in the y axis that will be equal each time. This rules out graphs 2 and 3 as the movements on Y are not equal on the line.

This leaves graph 1 which means that Lin's dad paid $10 for the tablet and then pays $5 every month for a subscription to a movie streaming website.

See more about finances at brainly.com/question/10024737

Round 43,846 to the nearest thousand.

Answers

44000 im pretty sure

Brainliest to the first person and the steps!

Answers

Answer:

13

Step-by-step explanation:

FC + CB = 1/2 CD + 1/2 AB = 1/4 DE + 1/2 AB

= 1/4 * 12 + 1/2 * 20 = 3 + 10 = 13

PLEASE ANSWER PLZZZ HELP
In which one of the following measured numbers are all of the zeros significant?

Group of answer choices

3,700,000

1.023700

0.0307

0.000120

Answers

0.0307 or what are you giving us here?

(x+2)+ 3(x+2)

Rewrite the expression as equivalent prouduct of two binomials

Answers

(x+2) + 3(x+2)
x+2+3x+6
.. ( collect like terms )
= 4x+2+6
= 4x + 8 is your answer

Arrange 88,667 132,414 23,112 83,001 to smallest to largest

Answers

Answer:

001,23,83,88,112,132,667

Step-by-step explanation:

Are you kidding me that you need help on this?

23,112 83,001 88,667 132,414
Did you even try to answer this question that’s easy

Translate this sentence into an equation. 52 is the sum of 22 and Malik's savings. Use the variable m to represent Malik's savings.​

Answers

Answer:

Malik 22+30=M

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