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

Please answer thank u ASAP.

Answers

Answer:

a?

Step-by-step explanation:

The line passes through the points (3, 7) and (4, 9)

Answers

Answer:

I'm confused as to what your asking?

Answer:

y= 2x +1

Step-by-step explanation:

slope 9-7/4-3 = 2/1= 2

y-7 = 2(x -3)

y-7 = 2x -6

y = 2x +1

Suppose that the height (in centimeters) of a candle is a linear function and the amount of time (in hours) it has been burning. After 9 hours of buring, a candle has a hight of 22.2 centimeters. After 23 hours of burning, it's heigh is 16.8 centimeters. What is the height of candle after 19 hour

Answers

Answer: cockme

Step-by-step explanation:

cockme

A CD has a diamter of 4.75 inches, Find the circumference, Use calculator pi or 3.14. Round to the nearest hundredth, if necessary.

WILL GIVE BRAINLIEST!!!

Answers

Answer:

15 in.

Step-by-step explanation:

Factor out the greatest common monomial factor from polynomial. Show your work or explain your reasoning

Answers

Answer:

  7(1 +3x)

Step-by-step explanation:

The simplest monomial is a constant that is a prime number. That constant is a factor of the coefficient of the only other monomial in the expression, so it can factored from both terms.

  = 7 + 7·3x

  = 7(1 +3x)

Q: Find six rational numbers between 3 and 4 .​

Answers

Answer:

Six rational numbers between 3 and 4 are 3.1, 3.2, 3.3, 3.4, 3.5 and 3.6.

Answer:

six rational numbers between 3 and 4 are 227 , 237 , 247 , 257 , 267 , 277

Find the Mean Absolute Deviation: (MAD)
10, 9, 3, 8, 10.

Answers

Answer: Hey there !! The answer is 2.

Step-by-step explanation:

The mean absolute deviation of a dataset is the average distance between each data point and the mean.

The absolute mean deviation is 2.

What is mean absolute deviation?

The mean absolute deviation of a dataset is the average distance between each data point and the mean.

We have,

10, 9, 3, 8, 10

We first find the mean of 10, 9, 3, 8, 10

Mean = (10 + 9 + 3 + 8 + 10) / 5

Mean = 40 /5 = 8

Data sets

10            | 10 - 8 |     2

9              | 9 - 8 |      1

3              | 3 - 8 |      5

8              | 8 - 8 |      0

10             | 10 - 8 |    2

Mean absolute deviation

= (2 + 1 + 5 + 0 + 2) / 5

= 10 / 5

= 2

Thus the absolute mean deviation is 2.

Learn more about absolute mean deviation here:

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Two of the angles in a triangle measure 90 degrees and 7 degrees what is the measure of the third angle

Answers

The third angle should be 83.
90+7+83=180

Answer:

The third angle would be 83 degrees.

Step-by-step explanation:

Seeing that every triangle's angles will always add up to 180 degrees, we would do the following:

180-90=90

90-7=83 degrees.

The area of a circle is 4​ square centimeters. What is the circumference?

Answers

7.088

Step 1) get r from area= pi *r^2

2) found the centimeters

BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS

Answers

Answer:

80

Step-by-step explanation:

sorry if wrong

80 degree angle






STEP-BY STEP EXPLINATION:

100 degrees is like a triangle or a square so o belive its 80 degrees

Which expression represents the distance between the two numbers on the
number line?
a. -1 + 2.5
b. -1 -2.5
c. 12.5 - (-1)
d. 12.5 -11

Answers

Answer:

B.

Step-by-step explanation:

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

Local versus absolute extrema. If you recall from single-variable calculus (calculus I), if a function has only one critical point, and that critical point is a local maximum (or say local minimum), then that critical point is the global/absolute maximum (or say global/absolute minnimum). This fails spectacularly in higher dimensions (and thereís a famous example of a mistake in a mathematical physics paper because this fact was not properly appreciated.) You will compute a simple example in this problem. Let f(x; y) = e 3x + y 3 3yex . (a) Find all critical points for this function; in so doing you will see there is only one. (b) Verify this critical point is a local minimum. (c) Show this is not the absolute minimum by Önding values of f(x; y) that are lower than the value at this critical point. We suggest looking at values f(0; y) for suitably chosen y

Answers

Answer:

Step-by-step explanation:

Given that:

a)

[tex]f(x,y) = e^{3x} + y^3 - 3ye^x \\ \\ \implies \dfrac{\partial f}{\partial x} = 0 = 3e^{3x} -3y e^x = 0 \\ \\ e^{2x}= y \\ \\ \\ \implies \dfrac{\partial f}{\partial y } = 0 = 3y^2 -3e^x = 0 \\ \\ y^2 = e^x[/tex]

[tex]\text{Now; to determine the critical point:}[/tex]- [tex]f_x = 0 ; \ \ \ \ \ f_y =0[/tex]

[tex]\implies e^{2x} = y^4 = y \\ \\ \implies y = 0 \& y =1 \\ \\ since y \ne 0 , \ \ y = 1, \ \ x= 0\\\text{Hence, the only possible critical point= }(0,1)[/tex]

b)

[tex]\delta = f_xx, s = f_{xy}, t = f_{yy} \\ \\ . \ \ \ \ \ \ \ \ D = rt-s^2 \\ \\ i) Suppose D >0 ,\ \ \ r> 0 \ \text{then f is minima} \\ \\ ii) Suppose \ D >0 ,\ \ \ r< 0 \ \text{then f is mixima} \\ \\ iii) \text{Suppose D} < 0 \text{, then f is a saddle point} \\ \\ iv) Suppose \ D = 0 \ \ No \ conclusion[/tex]

[tex]Thus \ at (0,1) \\ \\ \delta = f_{xx} = ge^{3x}\implies \delta (0,1) = 6 \\ \\ S = f_{xy} = -3e^x \\ \\ \implies S_{(0,1)} = -3 \\ \\ t = f_{yy} = 6y \\ \\[/tex]

[tex]\implies t_{0,1} = 6[/tex]

[tex]Now; D = rt - s^2 \\ \\ = (6)(6) -(-3)^2[/tex]

[tex]= 36 - 9 \\ \\ = 27 > 0 \\ \\ r>0[/tex]

[tex]\text{Hence, the critical point} \ (0,1) \ \text{appears to be the local minima}[/tex]

c)

[tex]\text{Suppose we chose x = 0 and y = -3.4} \\ \\ \text{Then, we have:} \\ \\ f(0,-3.4) = 1+ (-3.4)^3 + 3(3.4) \\ \\ = -28.104 < -1[/tex]

[tex]\text{However, if f (0,1) = 1 +1 -3 = -1 \\ \\ f(0,-3.4) = -28.104} < -1} \\ \\ \text{This explains that} -1 \text{is not an absolute minimum value of f(x,y)}[/tex]

PA = 0.5 PB = 0.3 and p A and b equals 0.15 what is p A or b

Answers

Answer:

P(A) = 0.2, P(B) = 0.5, P(A\B) = 0.3:

P(A\B) = P(A and B) P(B)

0.3 = P(A and B) 0.5

0.15 P(A and B)

P(A and B) = 0.15

B. P(A or B) = P(A) + P(B) - P(A and B)

0.2 + 0.5 - 0.15

0.70 - 0.15 = 0.55

Solve the equation by completing the square. Round your solutions to the nearest hundredth if necessary. x^2+2x=5

Answers

Answer: The correct answers are -3.45 and 1.45

Step-by-step explanation: The only problem you had was you rounded it to the tenths place instead of the hundredths place.

Sorry for getting back to you late.

a hardware factory produces 3.6 •10^5 bolts in 2400 minutes. what is the factory rate of production in bolts per minute​

Answers

10^5=100,000
100,000*3.6
360,000
360,000/2400

I believe it’s 150 bolts per minute

please help and putting the steps would help​

Answers

Answer:

x = 8

Step-by-step explanation:

These angles provided are alternate interior angles. That means they are congruent (equal). All you need to do now is answer the equation "8x-4 = 60".

From that you can see that x is 8.

Answer:

the angles are alternate interior angle pair, they are equal

8x - 4 = 608x = 64x = 8

tony completes one lap of a track every 20 seconds. diana completes one lap of the same track every 55 seconds. suppose tony and diana start at the starting line at the same time. how many seconds will it be before they cross the starting line at the same time again?​

Answers

Answer:

220 seconds.

Step-by-step explanation:

55, 110, 165, 220.

20,40,60,80,100,120,140,160,180,200,220.

Both have 220 in common so will cross at 220 seconds at the same time.

What is the solution set for this inequality?

-8x + 32 -16


x < 6

x > 6

x > -2

x < -2

Answers

Answer:

x>-2

Step-by-step explanation:

-8x+32-16<0

-8x<16

divide both sides by -8

x>-2

that's because when you divide by a negative your inequality sign changes

Starting point (1, 4) Show me the new coordinates of the point (1, 4) after it is:
Reflected over the line y = x.
Reflected over the line y = −x.
Rotated through 90°clockwise about the origin.
Rotated through 90°counterclockwise about the origin

Answers

Step-by-step explanation:

Reflected over the line y=x is (4,1)

Reflected over the line y=-x is (-4,-1)

Rotated through 90 clockwise about the origin is (4,-1)

Rotated through 90 counterclockwise about the origin is(-4,1)

Answer right and you get brainliest

What is the area

Answers

I believe 150 in
Area of triangle= 1/2 b x h
12 x 25=300/2 =150

one of the fastest times for 1,500-meter race is 3 minutes and 34 seconds. How many seconds is this time?

Answers

Answer:

214 seconds

Step-by-step explanation:

3 times 60 is 180. 180 plus 34 is 214.

C(4,4)
D(-8,0
B(6, -2)
A(-6, -6)

Answers

Answer:

I don't know how to do it the subject

What is the intercept of the equation

Answers

Answer is D. -1/2
Just divide 6 by 3 to find the x intercept

Answer:

-2

Step-by-step explanation:

Plug y=0 into the equation and solve the resulting equation 0=3x+6 for x

How many people ordered beer?

*it is not 15

Answers

Answer:

18 people ordered beer.

Step-by-step explanation:

15 + 3 = 18 people

Answer:

18

Step-by-step explanation:

Add the 15 as well as the three people who purchased both wine and beer. The total for beer purchases would be 18.

An experiment examined the impact of THC (the active ingredient in marijuana) on various physiological and psychological variables. The study recruited a sample of 18 young adults who were habitual marijuana smokers. Subjects came to the lab 3 times, each time smoking a different marijuana cigarette: one with 3.9% THC, one with 1.8% THC, and one with no THC (a placebo). The order of the conditions was randomized in a double-blind design. At the start of each session, no subject reported being "high." After smoking the cigarette, participants rated how "high" they felt, using a positive continuous scale (0 representing not at all "high"). For the placebo condition, participants reported a mean "high" feeling of 11.3, with a standard deviation of 15.5. A 95% confidence interval for the population mean feeling of "high" after smoking a placebo marijuana cigarette is

Answers

Answer:

OOO

Step-by-step explanation:

Gina needs to buy a bathroom mirror that is 3 feet wide and 6 feet long. If the mirror sells for $3.00 per square foot, what will the total cost of the mirror be?

Answers

Answer:

$54

Step-by-step explanation:

beacuse 6x3=18 and 18x3=54 so your answer will be $54

sorry if im wrong mark me brainliest if im right

Find the range for the data. 1480, 1375, 1285, 1740, 1195, 1785, 1710, 1725, 1355, 1890, 1455

Answers

Answer:

The range of the data value is 695.

Step-by-step explanation:

Please mark me brainlliest!

Answer:

695

Step-by-step explanation:

Range is the difference between the largest and smallest value.

1480, 1375, 1285, 1740, 1195, 1785, 1710, 1725, 1355, 1890, 1455

1890 - 1195

695

The population of a city decreases by 4% per year. If this year's population is 171,000, what will next year's population be, to the nearest individual?

Answers

How I usually find % is in the calculator I put the number im trying to find the percent of so in this case 171,000 and I multiply that by .4 in the calculator so I would put in 171,000*.4 and get 68,400 but that’s not the answer because you have to get rid of the last number so 4% of 171,000 is 6,840 then you subtract that from 171,000 and that’s your answer I got 164,160 I hope this helps :)

(3f–3)^2 pls help
aaaaaaaaaaaaaaaaaaaa

Answers

9f^2-18f+9 is the answer

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.

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