A repair team is responsible for a stretch of oil pipeline 2 miles long. The distance (in miles) at which any fracture occurs can be represented by a uniformly distributed random variable, with probability density function f(x) = 0.5.
What is the probability that the next fracture will occur in the last half mile of the two mile interval?

Answers

Answer 1

Using the uniform distribution, it is found that there is a 0.25 = 25% probability that the next fracture will occur in the last half mile of the two mile interval.

The uniform distribution has two bounds, a and b.  

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

In this problem, the distribution is uniform over 2 miles, thus [tex]a = 0, b = 2[/tex].

The probability of a failure on the last half-mile is P(X > 1.5), thus:

[tex]P(X > 1.5) = \frac{2 - 1.5}{2 - 0} = 0.25[/tex]

0.25 = 25% probability that the next fracture will occur in the last half mile of the two mile interval.

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Related Questions


Boldface the number in the hundred's place to help you round to the nearest thousand 6.637

Answers

Answer:

7000

Step-by-step explanation:

you remove 1 from hundred to the thousand

m is the midpoint of AB has coordinates (5, -4), if A has coordinates (6, 1). What are the coordinates of B?

Answers

Answer: (4,9)

Step-by-step explanation: We assume a straight line, so y=mx+b.

We can determine slope, m: Change in x is (6-5)=1. Change in y is (1-(-4)) = 5 Slope is (Change in y)/(Change in x) = 5/1, or 5

y=5x+b

Find b for (6,1)

1 = 5*6 + b

b = -29

y = 5x-29

Since A is (6,1) and m is (5,-4) we can calculate y for x=4 (point B)

y = 5(4)-29

y = -9

B is (4,-9)

A = 1/2 h(b^1 + b^2) solve for b^2

Answers

Answer:

[tex]b_{2} = \frac{2A}{h} - b_{1}\\[/tex]

Step-by-step explanation:

[tex]A = \frac{1}{2} h(b_{1} +b_{2})\\2A = h(b_{1} +b_{2})\\\frac{2A}{h} = b_{1} +b_{2}\\\frac{2A}{h} - b_{1} = b_{2}\\[/tex]

Help with this quesiton pllssssss i hate math

Answers

Answer:

Define:

Domain is the set of values that you can input in a function

Range is the set of values that corresponds to the output of a function, the set of values corresponding to its results

The vertical line test is a simple test you can do with a graph to know if this graph correspond to a function or not: you have to draw a vertical line, parallel to the y-axis and if that line touch the graph in just one point, it is a function

What is the domain and range of each function?

Domain = {3, 5, 7, 8, 11}

Range = {6, 7, 9, 14}

Is each relation a function?

Yes

Answer:

my butt

Step-by-step explanation:

why well because when were dinosaurs created in 1957 and when they were alive they drove cars to school to learn about extra chromosomes and and then the meatore hit and created my butt.

I hope that helps if you need anymore help let me know :)

A triangle has side lengths 35 cm, 46 cm, and 68 cm.

What type of triangle is this?


scalene

isosceles only

equilateral

Answers

Answer: Scalene

Step-by-step explanation:

The triangle doesn't have any equal side

Answer:

This is a scalene triangle. Hope this helps.

Reachel bought 3 CDs for $17 each and 1 CD for $19 how much did reachel spend on CDs?

Answers

She spent a total of $70 on CDs.

Answer:

3 cds is $17 she spent $40

Step-by-step explanation:

Joe has $180 in his bank account he wants to buy a new gaming system for $250 in two weeks his parents have offered to lend him money if he needs it he gets $20 a week for a allowance will he have enough money at the end of two weeks to make the purchase of his own if not how much will he have to borrow from his parents explain

Answers

Answer:

yes he will

Step-by-step explanation:

Hence, if his parents giving him $[tex]35[/tex] per week then he can purchase his game system.

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given that,

Joe has $[tex]180[/tex] in his bank account he wants to buy a new gaming system for $[tex]250[/tex] in two weeks his parents have offered to lend him money if he needs it he gets $[tex]20[/tex] a week for a allowance

So,

His account saving is $[tex]180[/tex].

He wants to purchase a game system which costs $[tex]250[/tex].

His parents giving $[tex]20[/tex] per week. So iin two weeks it is [tex]20(2)=40[/tex]$.

Then , the total savings he had [tex]180+40=220[/tex]$

So he needs [tex]30[/tex]$ more to purchas his game system

If his parents giving him $[tex]35[/tex] per week then in two weeks it would be [tex]35(2)=70[/tex]$.

Then his total savings are

[tex]180+70=250[/tex]$.

Hence, if his parents giving him $[tex]35[/tex] per week then he can purchase his game system.

To know more about the simplification

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WILL GIVE BRAINLIEST, EXTRA POINTS, THANK YOU AND STARS!!!!!

Answers

Answer:

Rate : 45m/s

Distance: 900 m

Step-by-step explanation:

1km/h = 1000m/3600s

= 5/18 * 162 = 45m/s

45 * 20 = 900

Divide.

24.7 ÷ 5.2 Enter your answer in the box.

Answers

Answer:

[tex]24.7 \div 5.2 \\ \frac{19}{4} \: \: or \: \: 4.75[/tex]

Answer:

[tex] \\ \sf24.7 \div 5.2[/tex]

[tex] \\ \sf = \frac{247}{10} \div \frac{52}{10} [/tex]

[tex] \\ \sf = \frac{247}{10} \times \frac{10}{52} [/tex]

[tex] \\ \sf = \frac{247}{52} [/tex]

[tex] \\ \sf = \frac{19}{4}[/tex]

[tex] \\ \sf = 4.75[/tex]

Nathan usually drinks 35 ounces of water per day. He read that he should drink 68 ounces of water per day. If he starts drinking 68 ounces, what is the percent increase? Round to the nearest percent.


The percent increase is %.

Answers

The answer is 22%

The increase of water intake would be 33 oz, 33% of 68 is 22.

HELP Not sure how to do this. Harry starts 10 miles away from home. For each minute his distance decreases by two miles. Write and graph an equation to represent this scenario​.

Answers

Answer:

yes

Step-by-step explanation:

j divisional yapa Irapuato perforan otero POW ad teo o ñ usado rap xiii foro

The equation to represent this scenario is d(t) = -2t + 10.

What is a graph?

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

Given, Harry starts 10 miles away from home.

For each minute his distance decreases by two miles.

Assuming no. of minutes to be 't' and distance to be d(t).

∴ d(t) = -2t + 10.  

The graph of this is attached.

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Mean of first five whole numbers is 3

Answers

The numbers would be 1, 2, 3, 4, 5

Answer:

mean of first five whole number = (0+1+2+3+4)/5 = 2

Step-by-step explanation:

Whole is starts from 0.

Expand and simplify (x+4)(x+2)

A. 8x+8
B. X2 (squared) +2x +4x +8
C. X2 (squared) +6x +8
D. X2 (squared) +6x +6
E. X2 (squared) +8

Answers

Answer:

b.x2(squared) +2x+4x+8

Answer:

C. X2 (squared) +6x +8

Step-by-step explanation:

I hope this helps

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
5 cm and 8 cm
6 cm and 7 cm
7 cm and 2 cm
8 cm and 9 cm

Answers

Answer:

(A) 5cm and 8cm

Step-by-step explanation:

Look to find out the triangle side you here to add and find outnth sum.

Write an equation of the line perpendicular to the given line that contains P.
P(5,-3); y=1/3x+4

Answers

Answer:

P(y,x)=P

y = 1/3x + 4

Step-by-step explanation:

Here is a diagram of triangle DEF.
Find the measures of angles q, r, and s.
(PLEASE help ASAP I will give brainliest!)

Answers

Answer:

q= 100

r= 135

s= 125

Step-by-step explanation:

These are the angles

The measures of angles q, r, and s are q = 100°, r = 135°, and s = 125°.

What are Alternate Interior Angles?

Alternate Interior Angles are defined as the pair of angles created on the inner side of the parallel lines and on the opposite sides of the transversal when two parallel lines are intersected by a transversal are referred to as alternate internal angles. These angles are always equal.

These are the angles

⇒ q = 180 - 80  = 100

⇒ r = 180 - 45= 135

⇒ s = 180 - (180 - 80 - 45) = 125

So the sum of the measures of angles q, r, and s

⇒ q + r + s = 100 + 135 + 125 = 360°

Thus, the measures of angles q, r, and s are q = 100°, r = 135°, and s = 125°.

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Can you solve and give me explanation how to solve

Answers

9514 1404 393

Answer:

  3 < x < 6

Step-by-step explanation:

Use the perimeter formula to write an expression for the perimeter. Then put that in an inequality with the given limits. Solve for x.

  P = 2(L +W)

  P = 2((4x) +(2x +1)) = 2(6x +1) = 12x +2 . . . . . fill in the given values; simplify

The perimeter wants to be between 38 and 74 cm, so we have ...

  38 < 12x +2 < 74

  36 < 12x < 72 . . . . . subtract 2

  3 < x < 6 . . . . . . . . . divide by 6

_____

Additional comment

Solving a compound inequality is very much like solving a single inequality. You need to "undo" what is done to the variable. The rules of equality (ordering) still apply. If you were to multiply or divide by a negative number, the direction (sense) of the inequality symbols would reverse in the same way they do for a single inequality.

Here, our first step was to subtract 2 from all parts of the inequality:

  38 -2 < 12x +2 -2 < 74 -2   ⇒   36 < 12x < 72

The division by 12 worked the same way: all parts are divided by 12.

  36/12 < (12x)/12 < 72/12   ⇒   3 < x < 6

__

If it makes you more comfortable, you can treat the perimeter limits as two separate inequalities: 38 < 12x+2 and 12x+2 < 74. Both restrictions apply, so the solution set is the intersection of the solution sets of these separate inequalities.

Which of the following is the correct graph of the linear equation below?
y+3 = -(x-4)
=-
PRII
A.
5 -4 -3
-2.1
2
3
4
-1
-2
+-3
-4
T'

Answers

Chrhuejamncbgbdhajmnxbdhsakmznxbchsj

janelle earns $9 an hour and works 25 hours per week. 26% of her pay goes towards taxes. she is hoping to buy her first car 8 months from now for $3,200. Write a smart goal for janelle so she will know how much money to set aside each month in order to reach her goal

Answers

Answer

100

Step-by-step explanation:

In a test gender selection technique results consisted of 250 baby girls and 234 boys. Based on this result what is the probability of a girl born to a couple using this technique?

Answers

Answer: 125/242

Step-by-step explanation: Probability is favorable outcomes over all outcome, since there were 250+234 total outcome, and 250 were favorable (girls), then the probability is 250/250+234=250/484=125/242

b) 2a + 3b If a = 7 and b = 2, find the value of a) ab c) 2ab d) (a - b)2​

Answers

Answer:

b) 20, a) 14, c) 28, d)10

Step-by-step explanation:

b) 2a +3b ; a=7 and b=2

   2(7) + 3(2)

  14 +6

  20

a) ab

   (7)(2)

   14

c)2ab

  2(7)(2)

   14(2)

   28

d) (a-b)2

   2a-2b

   2(7)-2(2)

   14-4

   10

I was a bit confused at the question, but those were the answers that I got and the work that follow. Hope this helps! Good luck.

Maria use 2/3 cups of powder mix every 2 gallons of water what is strength of the sports drink

Answers

Answer:

a

Step-by-step explanation:

wht not

Alexa is preheating her oven before using it to bake. The initial temperature of the
oven is 75° and the temperature will increase at a rate of 10° per minute after being
turned on. What is the temperature of the oven 8 minutes after being turned on?
What is the temperature of the oven t minutes after being turned on?

Answers

Answer: i needed pointsss srry

Step-by-step explanation:

The amount of time needed to complete a job, t, varies inversely with the number of workers, w. If 11 workers can complete a job in 36 minutes, how many minutes would it take 6 workers?

Answers

Time T = k/W where k = the proportionality constant and W = number of workers

Find k k = TW = 36(11) = 396
So,
T = 396/6= 66 minutes

Therefore, it would take 66 minutes for 6 workers.

I would appreciate some help on this question

Answers

Answer:

AB = 38

BC = 4

Step-by-step explanation:

It kinda depends if the image is to scale or not

On Monday, 405 Students went on a trip to the zoo. All 9 uses were filled and 9 students had to travel in cars. How many students were in each bus?

Answers

Hi,

So since 9 went by car I did 405-9= 396 that went by bus.

There were 9 buses so I did 396/9=44 so there were 44 students on each bus.

Hope this helps !

Answer:

Step-by-step explanation:

n = 41

There are 41 students on each bus.

Which of these a example

Answers

Answer:

D`

Step-by-step explanation:

The answer would be D because 40 is twice as much as 20. We also double the number of hours. So instead of having the ratio of 20:1 we have the ratio 40:2 (Miles : Hours)

lolol lfeofviponvfnfuibouigb

3 • f (-4) -3 • g (-2)=

Answers

Answer:

F=g^2+6

Step-by-step explanation:

Simplify:

1. Assume you need to multiply the variables by the numbers next to them:

[tex]3 * f (-4) - 3 * g (-2)=-12f + 6g[/tex]

2. Assume the number next to the variables mean exponents:

[tex]3 * f ^{-4} - 3 * g^{-2}=3/f^4-3/g^2=3(g^2-f^4)/f^4g^2[/tex]

What is the product?
(2x - 3)(4x + 5)
A. 8x^2 - 15
B. 6x + 2
C. 8x^2 - 2x - 15
D. 8x^2 - 2x + 15

Answers

Answer:

C

Step-by-step explanation:

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

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

=8x^2+10x-12x-15

=8x^2-2x-15

(2x-3)(4x+5)
2x(4x+5)-3(4x+5)
8x^2 + 10x - 3(4x+5)
8x^2 + 10x - 12x - 15
8x^2 - 2x - 15

What is 4/9 increased by 1/3 ?​

Answers

Answer:

7/9

Step-by-step explanation:

4/9 + 1/3

*Multiply top and bottom by 3

4/9 + 3/9

= 7/9

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