A train arrives at a station and waits 3.5 minutes before departing. Another train arrives at the station 16 minutes later, repeating the cycle. Identify the probability that a train will not be at the station when you arrive.

Answers

Answer 1

Step-by-step explanation:

so we can safely say that one train will be there for 3.5 minutes and it will be gone for 16 minutes before another train comes and repeats the cycle.

we want how many minutes that the train will not be there over the total time that is possible so that would be

16/(16+3.5)

16/19.5

32/39

Hope that helps :)

Answer 2

The probability of the train not being at the station on arrival would be:

0.82

Find the probability

Given that,

The duration for which the train makes = 3.5 minutes

The time at which the second train arrives = 16 minutes later

We know that this cycle is repeated.

The duration for which the train is not there would be:

[tex]= 16/(16+3.5)[/tex]

[tex]= 16/19.5[/tex]

[tex]= 32/39[/tex]

[tex]= 0.82[/tex]

Thus, 0.82 is the probability.

Learn more about "Probability" here:

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Related Questions

What does x equal
3х – 4 = 8 + 2х

Answers

Answer: x = 12

Step-by-step explanation:

First, we have to add 4 on both sides of the equation to combine like terms:

3х – 4 (+4) = 8 (+4) + 2х

3x = 12 + 2x

Now we subtract 2x on both sides of the equation, which leaves x by itself:

3x (-2x) = 12 + 2x (-2x)

x = 12

this is new information to me

Answers

I’m sorry I don’t know this one
I think the answer is B I hope it’s right

For the following set of data, find the mean, median and mode.
age of children Danielle babysits:
6,9,2,4,3,6,5
(3 Points)
Mean = 4 years old
Mean = 5 year old
Mean = 9 years old
Mode = 2 years old
Mode = 6 years old
Mode = 9 years old
Median = 4 years old
Median = 4.5 years old
Median = 5 years old

Answers

Mean = 5 it’s the average. Total/7
Mode = 6 what number occurs most often
Median = 5 line them up smallest to highest, whats the middle number?

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

I believe its c

Step-by-step explanation:

Answer:

(4, -11)

Explanation:

The coordinate's signs just change (negative becomes positive and vise versa)

Emily grows flowers on part of her 2-acre farm. Her house
and barn cover half an acre, her vegetable gardens cover
1 1/4 acres, and her flower garden covers the rest of her
farm. She divides the flower garden into 16 equal-sized
plots and puts 4 kinds of flowers in each plot.
How large is each plot of flowers in Emily's garden?

Answers

Answer:

1/64 for each type f flowe

Step-by-step explanation:

What is the value of x if x+15=38 ?

Answers

Answer:

x=23

Step-by-step explanation:

x+15=38 (we subtract 15 from both sides to get x alone on one side)

x=23

Answer:

23

Step-by-step explanation:

Subtract 15 by both sides to get X by itself and you get your answer!

3. What is the axis of symmetry of the graph of function f(x) = x² - 6x – 1

Answers

Answer:

guihnijiop;kl;lkm

Step-by-step explanation:

Answer:

A parabola has an axis of symmetry at x = 3 if the x-value of the vertex is 3.

f(x) = x^2 + 3x + 1 = x^2 + 3x + 9/4 - 5/4 = (x + 3/2)^2 - 5/4 => vertex = (-3/2, -5/4)

f(x) = x^2 - 3x - 3 = x^2 - 3x + 9/4 - 21/4 = (x - 3/2)^2 - 21/4 => vertex = (3/2, -21/4)

f(x) = x^2 + 6x + 3 = x^2 + 6x + 9 - 6 = (x + 3)^2 - 6 => vertex = (-3, -6)

f(x) = x^2 - 6x - 1 = x^2 - 6x + 9 - 10 = (x - 3)^2 - 10 => vertex = (3, -10)

Therefore, f(x) = x^2 - 6x - 1 has an axis of symmetry at x = 3.

Step-by-step explanation:

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Santo paid $16.25 to buy 5 children tickets and 1 adult ticket. Hulda paid $24.00 to buy 4 children tickets and 3 adult tickets. If both people paid the same price per ticket what was the price of an adult ticket

Answers

Answer:

The price of an adult ticket it $5

Step-by-step explanation:

To solve this, we would find the system of equations. We would set up two equations that will represent the situation.

Let c = price per children ticket

Let a = price per adult ticket

Santo:

5c + 1a = 16.25

Hulda:

4c + 3a = 24

5c + 1a = 16.25 -> a = 16.25 - 5c

4c + 3a = 24

4c + 3(16.25 - 5c) = 24

4c + 48.75 - 15c = 24

-11c + 48.75 = 24

       -48.75   -48.75

-11c = -24.75

/-11       /-11

c = 2.25

5c + a = 16.25

5(2.25) + a = 16.25

11.25 + a = 16.25

-11.25        -11.25

a = 5

a = $5 , c = $2.25

This question gave me a head ache

Bob mixed 5/8 cup of water and 1/8 cup of lemon juice in a cup. The rest of the mixture was lime juice. How much lime juice did Bob add if the cup was full?

Answers

Answer: thats a good question

Step-by-step explanation:

Answer: he will add 2/8 more so it can be full.

Step-by-step explanation: you divide 2/8 by 5/8 and you'll get 1/8.

please give me brainlest

what is 21 5/8% as a decimal

Answers

Answer: 21.625

Step-by-step explanation:

The percentage of 21 (5/8)% in decimal form is 173/800.

We have,

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying by 100.

The given percentage expression.

21(5/8) %

Divide by 100 to remove the %.

This can be written as,

21(5/8) / 100

Now,

21(5/8)

= (21 x 8 + 5) / 8

Simply the fraction.

= 173/8

Now,

173/8 / 100

Simplify the fraction.

= 173/800

Thus,

The percentage of 21 (5/8)% in decimal form is 173/800.

Learn more about percentages here:

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Aidans hourly salary is $11. If Aidan normally works a 40 hour week , then how much is normally earned in a week?

Answers

Answer:

$440

Step-by-step explanation:

40 x 11 = your answer 440

HELP! How many triangles can be made from the following three lengths: 1.6 centimeters, 7.4 centimeters, and 5.9 centimeters?

none

one

more than one

Answers

Answer: one

Step-by-step explanation:

pls help me on them all

Answers

The answer above me is speaking fax☝︎︎

Find the surface area.

Answers

Answer:

do you want to me to find it for all or just 1

Answer:

88 [tex]m^{2}[/tex]

Step-by-step explanation:

The surface are is the total area of all the faces

Opposite faces have the same area

Label each side either l, h or w

SA of a cuboid = 2lw + 2lh + 2hw

(2 x 4 x 6) + (2 x 4 x 2) + (2 x 6 x 2) = 8

1. Tiffany bought a phone for $350. If the value of the phone depreciates at a rate of 6%
per year, what would you pay for the phone after 3 years?

Answers

Answer:

Amount of phone after 3 year = $290.7 (Approx.)

Step-by-step explanation:

Given:

Amount of phone = $350

Depreciation rate = 6% = 0.06

Find:

Amount of phone after 3 year

Computation:

A = p[1-r]ⁿ

Amount of phone after 3 year = Amount of phone[1-Depreciation rate]ⁿ

Amount of phone after 3 year = 350[1-0.06]³

Amount of phone after 3 year = 350[0.94]³

Amount of phone after 3 year = 350[0.83054]

Amount of phone after 3 year = $290.7 (Approx.)

Which numbers between 10 and 20 do not appear in the table at all?

Why don’t they appear?

Answers

Answer:

the answer is 11, 13, 17

Step-by-step explanation:

this is because they do not have any even number that multiplies into them.


You are cutting pieces of fabric for a craft project. You need three pieces that measure 6 2/3 inches, 4 1/2inches, and 3 5/8inches.
What is the total length of fabric that you need ?

Answers

Answer:

Step-by-step explanation:

14/19/24

Help please and why

Answers

A hopes that helps
Because with you divided 16 1.25

A jar contains black and white jelly beans. What is the probability of reaching into the jar and
selecting a black jelly bean?

Answers

Answer:

50% because there are only 2 colors

Step-by-step explanation:

Answer:50%

Step-by-step explanation:

The probability is 50% or 1/2 because there's only 2 types of jelly bean in the jar unless either one has more amount than the other's

Wendy is making potato salad for a picnic. One sack of potatoes weighs 14 pounds.What is the weight of a sack of potatoes in ounces

Answers

Answer:

224 ounces

Step-by-step explanation:

1 pound is 16 ounces, 14 multiplied by 16 is 224

every pound equal 16 ounces so 14 × 16 = 224

geometry math plz help

Answers

Answer:

1. mCD is equal to 84 degrees.

2. I believe that RPT would be equal to approximately 51 feet. I think I am right, but I am not 100% sure. I used formula though.

Step-by-step explanation:

1. In order to find the measure of CD, you would find the measure of AD and CD, because they add to 180, and from there you can take the answer, which will be the x value, and plug it back into measure CD's equation.

1. Add the equations of mAD and mCD and set them equal to 180, because together on the graph they add to 180 degrees, which is a semi-circle.  

19x-49+5x+37=180

24x-12=180

2. Solve.

24x-12=180

24x=168

x=7

3. Plug x back into mCD and find the answer!

19(7)-49=84

mCD= 84 degrees!

2. Arc Length Formula

2[tex]\pi[/tex]r degrees/360

2pi (14) 208/360≈51

Help SOMEONE???? MATH IS SO HARD!!!​

Answers

Answer:

16. 70%

17. 100%

Step-by-step explanation:

16. As seen here, there are 10 marbles in total. Out of those marbles, there are 7 green marbles.

We can set up a "part to whole" fraction such as 7/10

Then we just find the % value by finding an equivalent "x to 100" ratio (percentages go up to 100)

7/10 = x/100

1000 = 7x

70 = x

17. Fortunately, there doesn't seem to need too much math involved as the only possible marbles are red and green. Therefore, you have a 100% chance of getting a green or red marble.

Hope that helps a bit!

Multiply.
(5v+6w-7)(-3)
Simplify your answer.

Answers

Answer:

if my calculator is not wrong Is 21

6. cory gets paid every two weeks. he works 40 hours per week at $7.75 per hour. cory has the following deductions: 8% for medical insurance, 12% for federal and state taxes, and 10% for retirement. cory's net pay will be $________.​

Answers

Answer:

$434

Step-by-step explanation:

Gross Pay

$7.75 per hour40 hours per weekPay received every 2 weeks

⇒ Total gross pay = 7.75 × 40 × 2 = $620

Deductions

Medical insurance = 8%Taxes = 12%Retirement = 10%

⇒ Total deductions = 8% + 12% + 10% = 30%

Net Pay

Net Pay = Total Gross Pay - Total deductions

             = $620 - (30% of $620)

             = $620 - (0.3 × $620)

             = $620 - $186

             = $434

Therefore, Cory's net pay will be $434.

ASAP PLEASE HELP!!! Given the cylinder with the given dimensions, match the measures of the radius, circumference, and area of the base.

Answers

Answer:

Radius of cylinder = 4.5 inch

Circumference of Base = 9π inch

Area of base = 20.25π

Step-by-step explanation:

Given:

Diameter of cylinder = 9 inch

Height of cylinder = 22 inch

Find:

Radius of cylinder

Circumference of Base

Area of base

Computation:

Radius of cylinder = Diameter of cylinder / 2

Radius of cylinder = 9 / 2

Radius of cylinder = 4.5 inch

Circumference of Base = 2πr

Circumference of Base = 2π(4.5)

Circumference of Base = 9π inch

Area of base = πr²

Area of base = π(4.5)²

Area of base = 20.25π

Select the correct comparison

Answers

Answer:

b

Step-by-step explanation:

The answer is B. The typical value is greater in set B. The spread is greater in set A

I need help please help

Answers

Answer:

B (340)

Step-by-step explanation:

Which line on the graph represents the information in the table?
A. Line a
B. Line b
C. Line c
D. Line c
First one near with CORRECT answer gets brainless.

Answers

Answer:

i Believe is is line b

Step-by-step explanation:

when you put all the lines on the graph they are all near line b

Eva earns $500 per month plus $3 for every sale she makes which inequality can she use to find how much she must sale to earn at least $1,200 in a month

Answers

Answer:

500 + 3(s) ≥ 1200

Step-by-step explanation:

Ok so the goal is to earn 1,200 / month

We know that she already earns 500/month

So lets do some subtraction

Because she needs to make ATLEAST 1,200, well use either ≤ or ≥

Lets call (s) the number of sales she makes

Lets form the inequality

500 + 3(s) ≥ 1200

If my answer is incorrect, pls correct me!

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

-Chetan K

If I get paid $5 for every 10 minutes, how much do I get paid an hour?

Answers

Step-by-step explanation:

30$ hope it helped I don't know if its correct though let me know if I'm wrong

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