The amount of flight time between failures of an airplane engine is exponentially distributed with mean 900 hours. If the engine is inspected every 600 hours of flight time, what is the probability that the engine will fail before it is inspected

Answers

Answer 1

Answer:

0.4866 = 48.66% probability that the engine will fail before it is inspected

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

Exponentially distributed with mean 900 hours.

This means that [tex]m = 900, \mu = \frac{1}{900}[/tex]

If the engine is inspected every 600 hours of flight time, what is the probability that the engine will fail before it is inspected?

This is [tex]P(X \leq 600)[/tex], which is:

[tex]P(X \leq 600) = 1 - e^{-\frac{600}{900}} = 0.4866[/tex]

0.4866 = 48.66% probability that the engine will fail before it is inspected


Related Questions

Someone answer this Please

Answers

Answer:

15 miles

Step-by-step explanation:

The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where a and b are the two legs (the sides of the triangle that are adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.

Plug 12 mi and 9 mi into [tex]a^2+b^2=c^2[/tex] as a and b.

[tex]a^2+b^2=c^2\\12^2+9^2=c^2\\144+81=c^2\\225=c^2[/tex]

Take the square root of both sides

[tex]15=c[/tex]

Therefore, the length of the hypotenuse is 15 miles.

I hope this helps!

In an effort to test the hypothesis that the proportion of voters in the younger than 40 year old age bracket who will vote for a particular politician is different than the proportion voters in the above 40 age bracket, the following data was collected. Test hypothesis at 0.10 level of significance.

Population Number Who Will Vote for Politician Sample Size

Below 40 348 700
Above 40 290 650

Required:
a. Reject the Null Hypothesis and condlude that the proportion of voters in the younger than 40 year oid age bracket who will vote for a particular different than the proportion voters in the above 40 age bracket.
b. Do not reject the Null Hypothesis and conclude that the proportion of wotors in the younger than 40 year old age bracket who will vote for a particular politician is not different than the proportion voters in the above 40 age bracket.

Answers

Answer:

We reject H₀ we support the claim that the two proportion are different

Step-by-step explanation:

Younger than 40 years old

Sample size  n₁  = 700

x₁  = 348

p₁ = 348 / 700      p₁ = 0,497     p₁ = 49,7 %

Above 40 years old

Sample size  n₂  = 650

x₂  = 290

p₂ = 290/ 700     p₂ = 0,414      p₂  = 41,4 %

p  =  ( n₁*p₁  +  n₂*p₂ ) / n₁ + n₂

p = 700 * 0,497  + 650 * 0,414 )   / 700 + 650

p = ( 347.9 + 269,1 ) / 1350

p = 0,457      p  = 45,7 %

q = 1 - p         q  = 54,3 %        q = 0,543

CI  is 90 %   significance level is  10 %     α = 10 %     α = 0,1  α/2 = 0,05

zscore for α/2       from z- table is : z(c) = 1,64

Test Hypothesis

Null Hypothesis                                    H₀        p₁  =  p₂

Alternative Hypothesis                        Hₐ        p₁  ≠  p₂

To calculate  z(s) =  (  p₁  -  p₂ ) / √ pq/n₁   +  pq/ n₂

p₁  -  p₂  =  0,497  -  0,414  =  0,083

√ pq/n₁   +  pq/ n₂   = √  0,457*0,543/ 700   +  0,457*0,543/ 650

√ pq/n₁   +  pq/ n₂   =  √ 3,545*10⁻⁴  + 3,82 * 10⁻⁴

√ pq/n₁   +  pq/ n₂   =  2,71 * 10⁻²   =  0,0271

z(s) =  0,083/ 0,0271

z(s) = 3,06

Comparing    z(s)  and z(c)

|z(s)| > |z(c)|

Then z(s) is in the rejection region and we reject H₀

lower quartile of 5, 8, 6, 11, 5, 4, 7, 3, 5, 9, 6, 8

Answers

Answer: 5

Step-by-step explanation:

First order from least to gratest: 3, 4, 5, 5, 5, 6, 6, 7, 8, 8, 9, 11

Then find median (center): 6

Next find the lower quartile also known as the first quartile: 5

Your answer is 5

If you need additional help you can go to khan academy it is a great site with math for pre-k -SAT. Using khan academy I have become an A student.

I hope this helps and may God bless you. Have a nice day, bye!

Please help me (Just to inform you I took this once and D is not the correct answer) I’ll give brainalist + points

Answers

Answer:c

Step-by-step explanation:

What would been the volume?

Answers

Answer:

Multiply 43x15x5

Step-by-step explanation:

length x whight x hight

For the plane curve defined by x = 7 cos t, y = 5 cos t, for t in [0, 2π​] the ordered pair that corresponds to t = π/6 is ___

Answers

Answer:

The ordered pair is: [tex](\frac{7\sqrt{3}}{2},\frac{5\sqrt{3}}{2})[/tex]

Step-by-step explanation:

We are given the following plane curve:

[tex]x = 7 \cos{t}[/tex]

[tex]y = 5 \cos{t}[/tex]

Ordered pair for a value of t:

We find (x,y) for these values of t. So, when [tex]t = \frac{\pi}{6}[/tex]

[tex]x = 7 \cos{\frac{\pi}{6}} = 7\frac{\sqrt{3}}{2} = \frac{7\sqrt{3}}{2}[/tex]

[tex]y = 5 \cos{\frac{\pi}{6}} = 5\frac{\sqrt{3}}{2} = \frac{5\sqrt{3}}{2}[/tex]

The ordered pair is: [tex](\frac{7\sqrt{3}}{2},\frac{5\sqrt{3}}{2})[/tex]

what does W equal?
w ÷ 9 = 9

Answers

Answer:

81

Step-by-step explanation:

w/9=9

w=9*9

w=81

Answer:

w = 81

Step-by-step explanation:

To get w, you have to do inverse operations. Because w is being divided, we need to multiply to isolate w because multiplication is the opposite of division.

w/9 = 9

(9) (w/9) = (9) (9)

w = 81

What does it mean to do something 4.5 times?

Answers

Answer:

This is a standard notation used by many computer programs including Excel. Entering a value in this form is not the same as entering the logarithm of a number. This is simply a shortcut way to enter very large values, or tiny fractions, without using logarithms.

Step-by-step explanation:

B.Exercise 1: Directions: Write TRUE if the given answer is correct and False if it is not, give the answer. ______1. Mary bought a magazine for Php 135.00, and 2 bottles of nail polish. Give an expression to represent the total amount she spent. Given answer: 2xp+135 or 2p + 135​

Answers

Answer:

Verdader

o

Step-by-step explanation:

Kami scores 45 points and 3 basketball games .
How many points does he score per game?

Answers

45 / 3 is 15 so 15 per game

Find perimeter pt4 brainliest

Answers

Perimeter= X + Y + W. Perimeter is the sum of all sides

Which two ordered pairs represent point a and point b on the graph ?

A 2,3 and B 7,8

A 7,8 and B 8,7

A 3,2 and B 8,7

A 8,7 and B 3,2

Pls help me

Answers

Answer:

2, 3 and 7,8

Step-by-step explanation:

help please ............

Answers

It’s between A and c


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

All of them except angle KLN and MLI

Because corresponding angles make an f shape and all the angles apart from those pairs make an f shape

Hope this helped
angle KLN and angle HIL
angle JIG and angle MLI
angle HIG and angle KLI
you question said can choose more than one .

I need big help!!, 20 points

Answers

Answer:

2 and 4 :)

Step-by-step explanation:

help there a man walkibg around in my hosue and it late and everyone sleep help!!

Answers

Answer: throw something at it maybe

Step-by-step explanation:

Given lines l, m and n are all parallel and cut by two transversal lines, find the value
of x.

Answers

Step-by-step explanation:

u should attach the picture of the question because its difficult to identify where x is located

kindly attach the picture

↓↓ASAP PLAS HELP WILL GIVE BRAINLYEST WILL GIVE BRAINLYEST↓↓
if the Diameter of a can 6 inches an the Height of the can is 4 inches Volume of Can , Surface Area of Can ,and Ratio of Surface Area to Volume

Answers

we know that

diameter of the base of a cylindrical can= 4 in----------> r=2 in

h=6.5 in

[surface area]=2*[pi*r²]+[2*pi*r*h]

then

[surface area]=2*[pi*2²]+[2*pi*2*6.5]=[ 25.13 ]+[ 81.68 ]=106.81 in²

the answer is 106.8 in²

What is the area of the triangle. Side a=24cm b=30cm h=18cm

Answers

Answer:

a=270cm^2

Step-by-step explanation:

a= HbB/2

18×30/2

270cm^2

Answer:

Area =(H×B)÷2

=(18x30)÷2

=54O ÷2

=27O

If anyone can help me I’d be glad. I’m not the best at geometry :/

Answers

Answer:

C) 1.25

Step-by-step explanation:

The hypotenuse is the sloping side.

The base is the bottom side.

The triangles are similar, so you can use the sides of either triangle. Let's use the side lengths of the smaller triangle.

Length of hypotenuse: 5

Length of base: 4

Ratio of hypotenuse to base: 5/4

To find a decimal value, divide 5 by 4. Use a calculator or long division.

5/4 = 1.25

Answer: C) 1.25

a theater has 49 seats in the first row, 52 seats in the second row, 55 seats in the third row, and so on. how many seats are there in row 20

Answers

Answer:

106

Step-by-step explanation:

this question represents an arithmetic sequence problem where you can use this formula: a(n) = a(1) + d(n-1)  where 'n' is value you're solving for, a(1) is the initial value, and 'd' is the common difference

a(20) = 49 + 3(20-1)

= 49 + 3(19)

= 49 + 57

= 106

Select the correct answer.

Two friends are sitting on a seesaw at the park. The height, h(t), of the left seat, in inches above the ground, is modeled by a sine function. Let

trepresent the time, in seconds, since the friends started seesawing.

t

0

1

2.

3

4

5

6

ht)

24

48

24

0

24

48

24

If the friends start seesawing with the plank in a level position, how long does it take for the friend in the left seat to move upward, downward,

and then back to the initial position?

Answers

Answer:

Correct Answer 4 Secs

Step-by-step explanation:

#Platolivesmatter

Hope this helped :)

The time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.

What is a function?

A relation is a function if it has only One y-value for each x-value.

Two friends are sitting on a seesaw at the park.

The height, h(t), of the left seat, in inches above the ground, is modeled by a sine function.

Let t represent the time, in seconds, since the friends started seesawing.

t       0    1    2  3  4   5   6

h(t)  24 48 24 0 24 48 24

The friends start see sawing with the plank in a level position.

The initial position at 0 of them is at 24.

The group has to come back to this position after moving upward and downward.

The time it takes to reach upward is,

f(48)=1

The time it takes to reach downward after going upward is,

f(0)=3

Coming back to initial potion,

f(24)=4

Hence, the time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ7

please answer
Step by step

Answers

Answer:

B) 20°

Step-by-step explanation:

The top half of the circle is equal to 180°...

13x + 3x + 2x = 180°

18x = 180°

x = 10°

Angle EOD is the opposite angle of 2x

2 (10) = 20°


PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS

Answers

Answer:

I think angle 7 could also measure 117, and I think the angle relationship is alternate exterior angles.

Step-by-step explanation:

If my answers are wrong, I am incredibly sorry!

A square postage stamp has area 1,130 mm². About how long is each side?

Answers

Answer:

33.61 mm (the square root of 1130)

Step-by-step explanation:

answer choices:
a: 0%
b: 25%
c: 50%
d: 75%
e: 100%

Answers

Answer:

0

Step-by-step explanation:

Answer:

no account has been made so 0% is a required percentage

help please triangles and trigonometry

Answers

Answer: x=11.9

Step-by-step explanation:

Here, we need to know the concept of trigonometry

Sine (sin)-- Opposite/Hypotenuse ⇒ O/HCosine (cos)-- Adjacent/Hypotenuse ⇒ A/HTangent (tan)-- Opposite/Adjacent ⇒ O/H

---------------------------------------------------------------------------------

Given

θ = 32°

Hypotenuse = 14

x = adjacent side (relative to θ)

Solve

cos ( 32 ) = x / 14

x = 14 cos ( 32 )

x≈11.9

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x = 11.9

Step-by-step explanation:

x / 32 / 14

x = 11.9

Hope this helps

find the measure of 2 and 4 if 1=122° and 3 = 58°

Answers

Answer:

Due to lack of details, I can come up with several possible answers

if 2 is opposite from ∠3, then ∠2 = 58°

if 2 is opposite from ∠1, then ∠2 = 122°

if 4 is opposite from ∠3, then ∠4 = 58°

if 4 is opposite from ∠1, then ∠4 = 122°

please someone help me with this ASAP especially with the workout!!

Answers

Answer:

78°

Step-by-step explanation:

From the diagram,

Applying sine rule,

SinA/a = sinC/c................... Equation 1

Given: c = 29 cm, C = 50°, a = 37 cm

Substitute into equation 1 and solve for A.

sinA/37 = sin50°/29

sinA = (37×sin50°)/29

sinA = (37×0.766)/29

sinA = 28.34/29

sinA = 0.9774

A = sin⁻¹(0.9774)

A = 77.8°

A ≈ 78°

Hence the measure of angle A = 78°

Need help thank you

Answers

Answer:

number B (4×4)+(3×3×3)= 43

Answer:

B. 4² + 3³

Step-by-step explanation:

I'll do each of these expression to see which one equals 43.

2⁴ + 3²

16 + 9

25 ≠ 43; So A is out.

5² + 5³

25 + 125

150 ≠ 43; so C is out.

3² + 2³

9 + 8

17 ≠ 43; so D is out.

4² + 3³

16 + 27

43 = 43, so B is the answer to this question.

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