Delta Airlines' flights from Boston to Seattle are on time 70 % of the time. Suppose 6 flights are randomly selected, and the number on-time flights is recorded. 1.The probability that at least 4 flights are on time is

Answers

Answer 1

Answer:

P(at least 4)  = 0.74431

Step-by-step explanation:

Here

Probability of the flights on time is = 70% = 70/100= 0.7

q= 0.3

n= 6

As the probability of success and failure is constant and the n is also fixed then the binomail probability distribution can be used to solve this.

P (x= 4) = 6c4 *(0.7)^4 (0.3)^2= 15*0.2401* 0.09= 0.324135

P (x= 5) = 6c5 *(0.7)^5(0.3)^1= 6*0.16807* 0.3=0.302526

P (x= 6) = 6c6 *(0.7)^6 (0.3)^0= 0.117649P

P (x= 0) = 6c0 *(0.7)^0 (0.3)^6= 0.000729

P (x= 1) = 6c1 *(0.7)^1 (0.3)^5=0.010206

P (x= 2) = 6c 2*(0.7)^2 (0.3)^4=0.059535

P (x= 3) = 6c3 *(0.7)^3 (0.3)^3=0.18522

Probability of at least 4 means that probability of greater than 4 inclusive of 4.

This can be obtained in two ways.

First is by subtracting the probabilities of less than 4.

Second is by adding probabilities greater than 4 including 4.

We get the same answer with any of the two methods used.

P(at least 4) = 1- P(x<4)

                     = 1- [ 0.000729+ 0.010206 +0.059535+ 0.18522]

                     = 1- 0.25569

                       = 0.74431

P (at least 4) = P(x=4) +P(X=5) + P(x=6)

                        =0.324135+ 0.302526+ 0.117649

                        =0.74431


Related Questions

“Which of the following is most likely caused by chemical weathering” A.cirques carved out by a melting glacier
B. U-shaped valleys formed in a mountain region
C. Rocks and sediment transported and deposited
D.unrecognizable facial features on a marble statue

Answers

Answer:

D. Unrecognizable facial features on a marble statue

Step-by-step explanation:

The first 3 answer choices are all examples of physical weathering, not chemical weathering.

This is because the changes were caused by natural things such as flowing water and heating.

However, unrecognizable facial features on a marble statue would be caused by chemical weathering, where chemicals can erode marble and cause distortion in a statue.

So, D is the correct answer.

A person on a moving sidewalk travels 12 feet in 4 seconds. The moving sidewalk has a length of 120 feet. How long will it take to move from one end to the other?

Answers

Answer:

40 seconds

Step-by-step explanation:

120/12 = 10

10*4 = 40

THEREFORE 40 seconds to walk 120 feet at that speed

Write a multiplication sentence to find of the rectangle by moving numbers to the line

Answers

Answer:

caca

Step-by-step explanation:

Pls I need help with 2 I’m begging I been stuck on it for a while pls have a good day pls I need help

Answers

Answer:

F

Step-by-step explanation:

You add 4.5 pages for every 1 minute, this is constant.

Find the missing angle.
65°
60°
X=

Answers

Answer:

125

Step-by-step explanation:

sum of 60 and 65 will give you x

Answer:

125

Step-by-step explanation:

65+60=125

Cady has $3000 to deposit in the bank which offers 4% interest. How long does she need to leave the money in the bank in order to earn $600 in interest?

Answers

Answer:

Cady will have to leave the money in the bank for 5 years.

Step-by-step explanation:

Given that Cady has invested $ 3000 in an account with an interest rate of 4%, to know how much time must be invested to obtain $ 600 in interest, the following calculation must be performed:

3000 x 1.04 = 3.120

Thus, each year the investment will yield interest for $ 120. Therefore, since 600/120 is equal to 5, Cady will have to leave the money in the bank for 5 years.

Find the present value of the given future payment at the specified interest rate.
6000​$ due in 2 years at
6.5​% compounded daily

Answers

Answer:

6.5% of 6000$=6000$x6.5/100=390$

amount of interest = 390$x2=780$

Compound Interest

n=1, 2

Po=6000$

Pn=Po(1+r)^n

Pn=6000$1+6.5%)^n

Pn=6000$(1.065)^n

P1=6000$(1.065)^1=6390$

P2=6000$(1.065)^2=6805.35

The weights of several adult guinea pigs in a pet store are: 33, 39, 42, 33 39, 31, 32 and 37 ounces. Find the mean absolute deviation. Describe what the mean absolute deviation tells you about the data.

Answers

Answer:

35.75 I added them all up and divided by the amount of numbers there is

In Mr. Romano‘s class, 40% of the students like baseball. If 14 of his students
like baseball, how many students are in Mr.Romano’s Class?

Answers

Answer:

35

Step-by-step explanation:

The number of students in Mr.Romano’s class is 35.

Given that, in Mr. Romano‘s class, 40% of the students like baseball.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of students in Mr.Romano’s class be x.

Here, 40% of x = 14

⇒ 40/100 × x = 14

⇒ 0.4x = 14

⇒ x = 14/0.4

⇒ x = 35

Therefore, the number of students in Mr.Romano’s class is 35.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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Grace rode her bike 5 miles in 20 minutes. At this rate, how many miles can she ride her bike in 30 minutes? Plz help :)

Answers

Answer:

maybe like 7.5 miles

Step-by-step explanation:

if she rode 5 miles in 20 minutes than she rides for 30 more minutes than in 20 minutes of the 30 she rode 5 miles and my prediction is she will ride about 2.5 miles in 10 minutes

Can someone help me please? How do I solve this?

Answers

Answer:

i suggest look up a number chart similar to that and place the (4,4) on it

Step-by-step explanation:

im sorry if i couldnt help

Answer:

m is the slope, so it has a slope of 1. it gave you a point so it wants you to plug the point and slope into point-slope form and then solve for the equation to be in slope-intercept form so you can graph it.

point-slope form is: y -y1 = m(x -x1)

plug in the given values and solve

y - 4 = 1(x -4) (use the distributive property to get rid of the parenthesis)

y -4 = 1x - 4 (add 4 to both sides to isolate y)

y = 1x  (1x is the same as x, so it's redundant to write 1x)

y= x (this is the equation of the line)

if you don't know how to graph y=x, whatever the y value is, the y value is. it's a straight line going through the origin.

Step-by-step explanation:

i hope this helped :)

please help asap!!!!!

Answers

Answer:

angle RQS

Step-by-step explanation:

helppppp kkkasnnansnejsjs

Answers

Answer: “6b”

Step-by-step explanation:

Expression:
3b+6

I hope this helps mate

1.
(04.01 LC) WILL GIVE BRAINLIEST

Which of the sets of ordered pairs represents a function? (5 points)

A = {(1, −5), (8, −5), (8, 7), (2, 9)}
B = {(7, −4), (7, −2), (6, −3), (−9, 5)}

Only A
Only B
Both A and B
Neither A nor B

Answers

Neither A nor B because there is repetition of X values

Answer:

Neither

Step-by-step explanation:

I just took the quiz.

the robots are powered on coffee alone. they use two bags of coffee each day.how long will 1/4 bag last?

Answers

Answer:

One robot will be powered for an eighth of a day (1/8 of a day) by one quarter (1/4) of a bag of coffee.

Answer: 3 hours

Explanation: There are 24 hours in a day, and the robots use 2 bags of coffee a day, so you gotta do 24/2 and that means 1 bag of coffee lasts 12 hours. Next, the question is how long does 1/4 bag last, so you do 12/4 and get 3, therefore the correct answer is 3 hours. Hope this helped!

HELP ASAP PLEASE :))))))


For what value of p is the expression (x - p)2 + 5 equivalent to the expression x2 – 14x + 54?
A. -49
B. -7
C. 7
D. 49

Answers

Answer:

p=−12x2+8x+−492

is what I got

The value of p must be 7 for the expression (x - p)2 + 5 equivalent to the expression x2 – 14x + 54.

What are equivalent expressions?

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

It is given that the expression (x - p)2 + 5 equivalent to the expression x2 – 14x + 54

That is (x - p)^2 + 5 = x^2 – 14x + 54

Solving for p;

x^2 + p^2 + 5 - 2px =  x^2 – 14x + 54

Combine the like terms;

p^2 + 5 - 2px =– 14x + 54

p^2 - 2px + 14x - 49 = 0

If we put p = 7 then

49 - 14x + 14x - 49 = 0

Therefore, the value of p must be 7 for the expression (x - p)2 + 5 equivalent to the expression x2 – 14x + 54.

Learn more about expression here;

https://brainly.com/question/14083225

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1. (1.-2).(-2, 0).(-1,2). (1.3)

Function:

Domain:

Range:

Answers

domain: (1,-2,-1)
Rage: (-2,0,2,3

Can somebody help me with this one thank you.

Answers

It would be 11 liters

a six sided cube is rolled. find the probability of P (4) as a decimal

Answers

Answer:

.66

Step-by-step explanation:

Look at this please i dont need help im just trying to tell everybody something

Answers

Answer:

ok

Step-by-step explanation:

write an expression that can be usedto find the nth termo of each sequence 9, 17, 25, 33

Answers

Answer:

The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

[tex]a_n=8n+1[/tex]

Step-by-step explanation:

Given the sequence

9, 17, 25, 33

a₁ = 9

Determining the common difference

d = 17-9 = 8

d = 25-17 = 8

d = 33-25 = 8

As the common difference between the adjacent terms is same and equal to

d = 8

Therefore, the given sequence is an Arithmetic sequence.

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting a₁ = 9, d = 8 in the equation

[tex]\:a_n=9+8n-8[/tex]

[tex]a_n=8n+1[/tex]

Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

[tex]a_n=8n+1[/tex]

What is the area of a circle with a radius of 5 inches?
Use 3.14 for a
Enter your answer as a decimal in the box.
in?

Answers

Answer:

78.54in²

Step-by-step explanation:

i used the formula

You live in a big apartment. The bedroom is 15 by 20 feet. Calculate the area of your bedroom.
a.
100 sq. ft
c.
180 sq. ft
b.
300 sq. ft
d.
70 sq. ft

Answers

Answer:

The answer is B 300 sq. ft.

Step-by-step explanation:

If you multiply 15 by 2 you were to get 30 but since it is 15 multiplied by 20 instead its like adding a 0 at the end of the number so we change 30 to 300.

Hope this helps :)

I think the answer is B

Can zeros be written at the end of a decimal without changing the number that it represents?

Answers

Answer: yes, zeroes are simply just a place holder to make the number easier to read

Step-by-step explanation:

Yes they can. Zeros can be written at the end of a decimal. They work as a place holder.
Example:
0.4 is the same as 0.40

Please help me solve this !:)
Explain your answer

I will give braisnlt .

Answers

Answer:

A a rotation 180 degrees about the origin seems right

Answer:

B

Step-by-step explanation: Too easy to explain

Jori is 2 years older than Sage but 4 years younger than Victoria. Sage is 3 years less than a score. How old is sage? please show an explanation.​

Answers

Answer:

Comparing the age of two people both ... solve our problem we will fill out a three by three table for each problem. ... To show Adam is 20 years younger we subtract 20, Adam isx −20. Age Now. +2 ... 3. Pat is 20 years older than his son James. In two years Pat will be twice as old.

Answer:

Sage is 17 years young.

Step-by-step explanation:

A score is referring to 20 of something.

It says Sage is 3 years younger than a score.

20-3=17

I hope this is what the question means, otherwise, I'm clueless.

anyone know the answer to this? :))))

Answers

Hello!

[tex]\large\boxed{x = 17}[/tex]

[tex]\sqrt{x -1} + 5 = 9[/tex]

Begin by subtracting 5 from both sides:

[tex]\sqrt{x -1} = 9 - 5\\\\\sqrt{x -1} = 4[/tex]

Square both sides to get rid of the radical:

[tex]x - 1 = 16[/tex]

Add 1 to both sides to completely isolate for x:

[tex]x = 17[/tex]

giving branliest, 7th grade math

Answers

Answer:

1/3

Step-by-step explanation:

Total number of outcomes = 3

Possible outcomes = 1

probability = possible outcomes/ total number of outcomes = 1/3

HOPE THIS HELPS YOU

Answer:

1/3

............................

please help! please show work ​

Answers

Divide 2 by -8.
X >= -0.25 (you flip the sign because of the negative)

Answer:

-8x ≤ 2divide both sides by -8 (if you dividing inequalities with negative values.. you have to flip the sign when writing the answer  ) x ≥ -0.25your answer is (D)

There are four types of flowers in Mrs. Elliott’s garden, 1/2 of the flowers are red, 1/4 of them are purple. Of the remaining flowers, ⅔ are pink, there are 4 yellow flowers. How many flowers are there in Mrs. Elliott's garden?

Answers

Answer:

48 flowers.

Step-by-step explanation:

You know that there are red, purple, pink, and yellow flowers in the garden. Since you know that 1/2 are red and 1/4 are purple, the pink and yellow flowers (combined) must make up the remaining 1/4 of the garden.

You're told in the problem that of this remaining 1/4, 2/3 are pink. That must mean 1/3 are yellow. There are twice as many pink flowers as yellow flowers.

The problem also says there are 4 yellow flowers. This means that 1/3 (of the remaining 1/4) is equal to 4.

To figure out how many pink flowers there are, you can multiple 4 x 2. There must be 8 pink flowers.

To find the total number of pink and yellow flowers, add 8 + 4. There are 12 pink and yellow flowers.

Remember that the pink and yellow flowers must make up the remaining 1/4 of the garden. If 12 flowers is equal to 1/4 of the garden, then you can multiply by 12 x 4 to figure how many flowers are in the entire garden: 48 flowers.

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