Seventy-five percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 70% have an emergency locator, whereas 89% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. (Round your answers to three decimal places.) (a) If it has an emergency locator, what is the probability that it will not be discovered

Answers

Answer 1

Answer:

0.05 = 5% probability that it will not be discovered

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Has an emergency locator

Event B: Not discovered

Probability of having an emergency locator:

70% of 75%(discovered).

100 - 89 = 11% of 100 - 75 = 25%(not discovered). So

[tex]P(A) = 0.7*0.75 + 0.11*0.25 = 0.5525[/tex]

Intersection of events A and B

Having an emergency locator and not discovered, so 11% of 25%

[tex]P(A \cap B) = 0.11*0.25 = 0.0275[/tex]

What is the probability that it will not be discovered?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0275}{0.5525} = 0.05[/tex]

0.05 = 5% probability that it will not be discovered


Related Questions

Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is selected. Find the probability of selecting a jack and then selecting a king

The probability of selecting a jack and then selecting a king is _______
(Round to three decimal places as needed)

Answers

Answer:

3.25

Step-by-step explanation:

A basketball and a pump cost $31. If the basketball costs three times as much as the pump, how much does each item cost?

Answers

Answer:

7.75

Step-by-step explanation:

31 divided by 4= 7.75

write an equation to represent the following statement. k divided by 11=7. solve for k. k=?

Answers

Answer:

77

Step-by-step explanation:

77/11=7

Answer:

k=77 because 77/11 is 7

Step-by-step explanation:

4.) A customer at a concession stand bought 2 boxes of popcorn & 3
drinks for $12. Another customer bought 3 boxes of popcorn & 5
drinks for $19. How much does a box of popcorn cost? How much does
a drink cost? Write and solve a system of equations
Equation 1 :
Equation 2:
Popcorn
Drink:

Answers

Answer:

10$ each

Step-by-step explanation:

4 (w+1) =-6 gsdfnvbsfgbsdfbsdfb

Answers

Answer:  Hello There!!

w = -5/2

Step-by-step explanation:

4(w+1)=−6

Step 1: Simplify both sides of the equation.

4(w+1)=−6

(4)(w)+(4)(1)=−6(Distribute)

4w+4=−6

Step 2: Subtract 4 from both sides.

4w+4−4=−6−4

4w=−10

Step 3: Divide both sides by 4.

4w/4 = -10/4

Answer:

-10/4

Step-by-step explanation:

4(w+1)=−6

Step 1: Simplify both sides of the equation.

4(w+1)=−6

(4)(w)+(4)(1)=−6(Distribute)

4w+4=−6

Step 2: Subtract 4 from both sides.

4w+4−4=−6−4

4w=−10

Step 3: Divide both sides by 4.

4w/4 = -10/4

x to the third power =8/27​

Answers

Answer:

2/3

Step-by-step explanation:

2/3

in this case x= 2/3.

I really don’t get it!!

Answers

Answer:

The answer is b.

Step-by-step explanation:

Square root 124, you'll get 29.10, after that once you simplify it, you will get the answer and you will have to do the formula, a^2 + b^2 = c^2 since it is a triangle.

Answer:

x = 11,

m∡LMN = 124°

Step-by-step explanation:

since NO bisects ∡LMN, then ∡LMO = ∡NMO

so we can do the following to solve for 'x':

8x - 26 = 2x + 40

6x = 66

x = 11

now, plug 11 in for 'x' into either expression and double it, since ∡LMN is made up of two equal angles

8(11) - 26 = 88 - 26 = 62

62 x 2 = 124

Question 18 of 25 Which of the following statements are not true regarding functions? Check all that apply. O A. A function is a relation in which each value of the input variable is paired with at least one value of the output variable. B. A sequence is a function whose domain is the set of natural numbers. I C. The vertical line test may be used to determine whether a function is one-to-one. OD. The horizontal line test may be used to determine whether a function is one-to-one.​

Answers

the answer is I C and OD. I hope this helps

the answer is OCD and i don’t unfollow me

solve and receive brainlist​

Answers

Answer:

x = 4

Step-by-step explanation:

2x + 1 = 9

2x = 9 - 1

2x = 8

x = 4

Answer:

x=4

Step-by-step explanation:

9-1=8

8/2=4

A percentage is another way to write a _________________.


Answers

Answer: fraction

Step-by-step explanation:

Answer:

Decimal

Step-by-step explanation:

For example, 10% can also be .10.

You just move the decimal two places to the right or left depending on which one you want.

which function displays the fastest growth as the x-values continue to increase?

Answers

D. q(x)
it is the only exponential function
y is multiplied by 2 each time c increases by 1

The exponential function q(x) displays the fastest growth as the x-values continue to increase.

The correct option is D.

What is an exponential function?

Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.

Given:

A table is given for the value of x.

The function m(x) shows the linear relationship.

Because it has constant first difference.

n(x) is not a function because it has 2 input values connecting to one output value.

And the function q(x) has common ratio,

0.3/0.15 = 2.

So, it is an exponential function.

So, this function will display the fastest growth.

Therefore, the function is q(x).

To learn more about the exponential;

https://brainly.com/question/14344314

#SPJ6

Which fraction is greater? ​

Answers

Answer:

1/2

Step-by-step explanation:

Which of the following has the ability to line- item veto a law? A Governors b. The president C. Mayors can you help me please

2. Vernon practiced soccer 5 hours this week. He practiced 4 hours on weekdays and the rest over the weekend.
a. Write an equation that represents the situation. Define your variable.

b. What is the least common multiple of the denominators of 5 and 4 ? Show your work.

c. Solve the equation and interpret the solution. Show your work.​

Answers

I think it is either b or a

Answer:

a- Vernon practiced soccer 5  3/4hours this week. He practiced 4  1/3hours on weekdays and the rest over the weekend.

Step-by-step explanation:

Hope this helps

y=-4x +9 Identify the rate of change

Answers

Answer:

the rate of change is -4

Step-by-step explanation:

it's set up as y=mx+b

m is the rate of change

b is the y-intercept

m= -4

b=9

Answer:

f ( x ) = [tex]x^{2}[/tex] , [ 2 , 3 ]

− 4

Step-by-step explanation:

Please help this is due today!

Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.

Answers

Answer:

perdita is correct

Step-by-step explanation:

perdita is correct because A isoceles triangle has two of the same. The triangle will just be very very thin

what does 1/2 x 2/3 equal

Answers

Answer:

9/2

Step-by-step explanation:

Valerie and Seth are measuring the outside walls of a house using two different instruments. They want to find the house's perimeter. Valeria measured the north and east sides while Seth measured the west and south sides. Their results are listed in the table.

Part A
Use decimal numbers to write an expression that represents the length of the walls that Valerie measured.

Part B
Now use decimal numbers to write an expression that represents the length of the wall that Seth measured.

Part C
Write an expression for the perimeter of the house. Use the work you completed in part A & B to guide you.

Part D
Simplify the expression from part C to find the perimeter of the house in feet.

Part E
Suppose that you evaluate the expression for Valerie's wall and the expression for Seth's wall separately. Then you add the two expressions together. Will you get the same answer that you arrived at in part D? Why or why not? Show your work to prove your case.​

PLEASE PLEASE PLEASE HELP I REALLY NEED HELP IN THIS WORK, THANK YOU.

Answers

Answer:

A)

Valerie measured 4 walls at 2 1/2 feet. In decimal form, each wall is 2.5 feet long. So, the total length of the 4 walls is (2.5 × 4) feet.

Valerie measured 3 walls at 21 1/4 feet. In decimal form, each wall is 21.25 feet long. So, the total length of the 3 walls is (21.25 × 3) feet.

Valerie measured 1 wall at 32 feet.

The expression that gives the total length of the walls that Valerie measured is (2.5 × 4) + (21.25 × 3) + 32.

B)

Seth measured 1 wall at 3.5 feet.

Seth measured 2 walls at 22.75 feet. So, the total length of the 2 walls is (22.75 × 2) feet.

Seth measured 1 wall at 58 feet.

The expression that gives the total length of the walls that Seth measured is 3.5 + (22.75 × 2) + 58.

C)

The total length of Valerie’s walls is (2.5 × 4) + (21.25 × 3) + 32.

The total length of Seth’s walls is 3.5 + (22.75 × 2) + 58.

To find the expression for the perimeter of the house, add Valerie’s expression to Seth’s:

(2.5 × 4) + (21.25 × 3) + 32 + 3.5 + (22.75 × 2) + 58.

D)

(2.5 × 4) + (21.25 × 3) + 32 + 3.5 + (22.75 × 2) + 58

= 10 + 63.75 + 32 + 3.5 + 45.5 + 58

= 212.75

The perimeter of the house is 212.75 feet.

E)

The total length of Valerie’s walls is 105.75 feet:

(2.5 × 4) + (21.25 × 3) + 32 = 10 + 63.75 + 32 = 105.75 feet.

The total length of Seth’s walls is 107 feet:

3.5 + (22.75 × 2) + 58 = 3.5 + 45.5 + 58 = 107 feet.

The sum of 105.75 feet and 107 feet is 212.75 feet. The Commutative Property allows me to add numbers in any order. This is why the answers in parts D and E match.

edmentum answers :)

the equations are
option 1. y= -3x+5
option 2. y= -1/3x+5
option 3. y= -3x-5
option 4. y= 1/3x+5

Answers

Answer:

option one

Step-by-step explanation:

the y intercept is at 5 and the slope is change in y over change in x and as y goes down 3 x goes up 1. -3/1=-3

Please please give answer for this question

Answers

ANSWER: 25

EXPLANATION: First find the area of one single square by multiplying b(BASE) * h(HEIGHT). Repeat for other figure. Finally you will add both sums.

Solve each multi-step equation. Show your work. A - 2 + 3 = -2

Answers

Answer:

a is -3

Step-by-step explanation:

negative 3 minus 2 is negative 5 plus 3 is negative 2

the standard form of the equation through the points (-2,-2) and (2,-1)​

Answers

Answer:

y = 1/4x - 3/2

Step-by-step explanation:

for slope, use formula (y2-y1)/(x2-x1):

(-1-(-2))/(2-(-2))

=1/4

use formula y=mx+b for equation:

y=1/4x+b (substitute x and y for either (-2, -2) or (2, -1))

-1=1/4(2)+b

-1=1/2+b

-3/2 = b

equation:

y = 1/4x - 3/2

NEED HELP ASAP (only need help on 8)
step by step preferably but any help will do

Answers

Answer:

∠W=110

∠X=110

∠Y=70

∠Z=70

Step-by-step explanation:

∠X+∠Y=180 (supplementary angles)

(13x-7)+(8x-2)=180

21x=189

x=9

∠X = 13x-7 = 13(9)-7 = 117-7 = 110

∠Y = 8x-2 = 8(9)-2 = 72-2 = 70

Since WX║ZY and WZ=XY, ∠Z=∠Y and ∠W=∠X

I need to know the probability of a yellow marble not being drawn at all.

Answers

Answer:

9/13

Step-by-step explanation:

Select the expression that is equivalent to 2b+ 5 + 6b − 2b − 1.

Answers

Step-by-step explanation:

no entiendo.....aaaaa

Answer:

6b+4

Step-by-step explanation:

A tree casts a shadow 38 m long.
At the same time, the shadow cast by a 37 cm tall
statue is 75 cm long.
Find the height of the tree. Use correct units.

Answers

Answer:

Step-by-step explanation:

let the height of tree=h

[tex]\frac{h}{38} =\frac{37}{75} \\h=\frac{37}{75} \times 38 \approx 18.75 ~cm[/tex]

A restaurant has 23 tables. Some of the tables seat 4 persons and the rest seat two persons. In all, 76 persons can be seated at once. How many tables of each kind are there?

Answers

Answer:

15 tables with 4 seats and 8 tables with 2 seats.

Step-by-step explanation:

x = 4 seated tables

y = 2 seated tables

x + y = 23

4x + 2y = 76

Multiply first equation by -2 to cancel y's:

-2x - 2y = -46

4x + 2y = 76

2x = 30

x = 30 / 2

x = 15

And we said 23 tables so:

23 - 15 = 8

x = 15

y = 8

Use the epression to answer the question.
24-6×6÷4
What is the value of the epression?
A. 3
B. 15
C. 20
D. 27

Answers

Answer:

The answer is B.

Step-by-step explanation:

To subtract fractions, find the LCD and then combine.

So the answer is 15.

Hope this helps :)

-ilovejiminssi♡

The midpoint of AB is M(-2,1). If the coordinates of A are
(1, -2), what are the coordinates of B?

Answers

Answer:

(-1, 2)

Step-by-step explanation:

Yesterday,
5/8
of the 72 students in a contest gave their speeches. How many students gave their speeches?
Write your answer in simplest form?

Answers

Answer:

45

Step-by-step explanation:

5 divided by 8, multiply by 72

=(5÷8)72

=(0.625)72

=45

7. Mrs. Dyson asked her students to draw a figure with a perimeter of 4x+4.
Shown below are 4 drawings made by her students. (They are not drawn to
scale.) Which one is NOT correct? *

Answers

Answer:

the answer is b

Step-by-step explanation:

Other Questions
Describe the transformation that took place if f(x)=x? became f (x) = 0.2(x - 5)2 2 MARKING BRAINLIEST PLEASE HELP. Louie's Lemonade is available in 2.5 gallon jugs. A Serving is 8 fl.oz. How many servings are in one jug of lemonade? 1 cup = 8 oz. 1 gallon = 16 cups What's an example of random mating? Which of the following BEST describes the effect of Triangular Trade. A rectangle has a width of 9 km and a length of 6 km. How does the area change when each dimension is multiplied by 3? The area is increased by a factor of 3. The area is increased by a factor of 6. The area is increased by a factor of 9. The area is increased by a factor of 18. How does paragraph 2 of "The Chance of a Lifetime" contribute to the development of the plot? Use details from the text in your response. I need help in 30 mins PLS natural resources are important for proper growth development and survival justify this statement I need help with this question ASAP Select the best answer for the question9. You start a new business selling a product that's the best of its kind on the market. In addition toA. Good marketingB. A large staffC. A franchise licenseD. Sales experience 5.Who created the earliest known empire in history?SargonO GilgameshO EnkiduO Hammurabi "what is the food and agricultural organisation of the United Nations (FAO) recommendations to mitigate (ease) the risk of the pandemic on food security and nutrition" juanyra,hannah,and bella went out for pizza.juanyra ate 1/3 of the pizza,hannah ate 2/6 of the pizza,and bella ate 1/4 of the pizza.how much did they eat toghether. In two paragraphs, please respond:1) Your general reaction in relation to the theory of Observational Learning.2) Share something you've had to "unlearn" or revise after you got distance from the environment from which were raised. NEED ANSWER ASAPStudents in a Biology class were formulating an argument about a cell they viewed under the microscope. Halfof the class argued it was a plant cell and the other half argued in favor of an animal cell. Below is the image thestudents saw under the microscope. Which argument is supported by the image?A. The students who said the plant cell are correct because there are chloroplasts B. The students who said a plant cell are correct because there are mitochondria present. C. The students who said animal cell are correct because there are chloroplasts present. D. The students who said an animal cell are correct because there are mitochondria present. Who was Justinian's most trusted adviser?Emperor ConstantineCyrilthe patriarch of ConstantinopleEmpress Theodora I AM THE PEOPLE, THE MOB last question A nurse files a complaint with OSHA about the hazardous working conditions in her hospital. She is concerned that hospital practices do not prevent against slips, trips, and falls. Which of these observations might be included in her report?(A.) bathroom floors are often wet(B.) railings are installed in patient rooms(C.) hallways are frequently swept and maintained.(A.) S'Correct How are the functions of the endoplasmic reticulum and the Golgi apparatus related? A. Golgi apparatus receives proteins and other materials from the endoplasmic reticulum, packages them, and distributes them to vacuoles. B. The nucleus directs the cell's activity, including any transfer of material between the endoplasmic reticulum and the Golgi apparatus. C. Proteins and other substances made in the endoplasmic reticulum are stored, packaged, and distributed by the Golgi apparatus. D. In order to function, both plant and animal cells require an endoplasmic reticulum and Golgi apparatus. 7. Documento por el cual, el empresario, presidente o gerente de una empresa ocorporacin emite una comunicacin de carcter importante a todo el personal. Lamayora de las veces son disposiciones genricas que deben ser cumplidas por todoel personal. * on noinomos 96916 196 10 210 18.(1 Punto) slib si noeld 5129 eup 6169 sibem no soubeb ovogs le siloz obsqu0919 stribuize nU 2015191ob is op 29 nu nog ebnoq2911911029721Sobsq 19 osilitu oimo ob oqi 993(onu 90ActaCircularO Memorando196096Solicitud find the value of y and (4x+8)