(Extra Credit) Eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 75% have an emergency locator, whereas 90% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. If it has an emergency locator, what is the probability that it will not be discovered?

Answers

Answer 1

Answer:

0.0323 = 3.23% probability that it will not be discovered

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

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

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Has emergency locator

Event B: Probability it will not be discovered.

Eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered.

So 20% are not discovered, which means that [tex]P(B) = 0.2[/tex].

90% of the aircraft not discovered do not have such a locator.

So 10% of the aircraft discovered have the location, which means that [tex]P(A|B) = 0.1[/tex]

Probability of having the locator:

75% of 80%(Discovered).

10% of 20%(Not discovered). So

[tex]P(A) = 0.75*0.8 + 0.1*0.2 = 0.62[/tex]

If it has an emergency locator, what is the probability that it will not be discovered?

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.2*0.1}{0.62} = 0.0323[/tex]

0.0323 = 3.23% probability that it will not be discovered


Related Questions

what fraction is greater than 3/4​

Answers

Answer:

any positive whole number more than 0

or one example is 5/4

The single equivalent discount rate of the trade discount 6/4/2 is:

Answers

Answer:

3/1

Step-by-step explanation:

Given the expression 6/4/2, we are to express as a single fraction.

6/4/2

= 6÷4/2

= 6×2/4

= 12/4

= 3/1

Hence the expression as a single fraction is 3/1

Find each difference.
• (-5) – 6 =
.
35 – (-8) =
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43 - (-1) =

Answers

Answer:

1=1

2=43

3=44

Step-by-step explanation:

the subtraction negative and the negative in the parentheses make a positive so instead of subtracting them you add them together

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Answer:

mooltiplication

The solution is, Multiplication is a cows favorite type of math.

What exactly is the Purple Cow Poem about?

Gelett Burgess, author of The Purple Cow (1866–1951), I've never seen a Purple Cow and I've never hoped to; nevertheless, I can tell you that I'd much prefer see than be one. Death is a definite fact and a guarantee of life. Despite his unflinching devotion, Andrew Hudgins admits that the cow will inevitably die when it becomes feeble since he will slaughter it in stanza three. When she becomes too weak to provide us with fresh cream, we will cut her scarlet throat. Gelett Burgess, an American author, wrote a brief nonsensical poem titled "Purple Cow." In 1895, it was first printed.

here, we have,

In an experimental setup the independent variable is the one which can be changed and manipulated in an experiment the effect of which is observed on the dependent variable (s). The dependent variable is the one which cannot be manipulated in an experiment instead the changes occurring in a dependent variable are because of the manipulation of the independent variable. The dependent variable represents the outcome of the experiment.

According to the given situation, type of feed is the independent variable this is because of the fact that the there were two type of feeds were used one was experimented feed other was regular feed. The effect of both type of feeds has been observed on the weight of the cow which is the dependent variable.

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2 Find the area of the
shaded region.
5in
3in
8in
15in
A 51 square inches
B 75 square inches
C 9 square inches
D 31 square inches

Answers

A.51
because 5x15=75, 8x3=24, 75-24=51

Answer:

A.51

Step-by-step explanation:

Find the solution of the system of equations.
-9x + 2y = -19
5x + 4y = –15

Answers

Answer:

x=1 and y=-5

Step-by-step explanation:

i think that is right

Suppose you roll a special 24-sided die. What is the probability that the number is a 1 or a 2

Answers

On the roll a special "24-sided" die, the probability that the number is a "1" or a "2" is 1/12.

The probability of rolling a "1" or "2" on a 24-sided die is the sum of the probabilities of rolling a 1 and rolling a 2, because the events are mutually exclusive.

Since each face of the 24 sided-die is equally likely to come up, the probability of rolling any particular-face is 1/24.

So, the probability of rolling a "1" is 1/24, and the probability of rolling a "2" is also 1/24.

The probability of rolling either a 1 or a 2 is the sum of these probabilities:

⇒ P(rolling a 1 or a 2) = P(rolling a 1) + P(rolling a 2),

⇒ 1/24 + 1/24,

⇒ 2/24,

⇒ 1/12.

Therefore, the required probability is 1/12.

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Question 12
The average mass of Jeremy, Mark and Zack is 28 kg. If Jeremy and Zack's average mass is
29kg. How heavy is Mark?​

Answers

Answer:

Mark's mass is 26 kg.

Step-by-step explanation:

Average mass of Jeremy, Mark and Zack = 28kg

Average mass of Jeremy and Zack = 29 kg

Let,

Jeremy's mass = x

Mark's mass = y

Zack's mass = z

Average of three of them = [tex]\frac{Jeremy's mass + Mark's + Zack's}{3}[/tex]

28 = [tex]\frac{x+y+z}{3}\\[/tex]

[tex]28*3 = x+y+z\\84 = x+y+z[/tex]

x+y+z = 84     Eqn 1

[tex]29 =\frac{x+z}{2}\\58=x+z\\[/tex]

x+z = 58    Eqn 2

Now putting value of x+z from Eqn 2 in Eqn 1

x + z + y = 84

58 + y = 84

y = 84 - 58

y = 26

Thereofore,

Mark's mass is 26 kg.

The piecewise function h(x) is shown on the graph.
What is the value of h(3)?

Answers

Answer:

In the given graph h(x)

When x=3, h(3)=1

1 is the right answer.

What language your figure the thunder rose

Answers

Answer: ok buddy

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Paul picked 5482 peaches. Peter
picked four times as many as Pual
picked. Sam picked twice as many as
Peter picked. How many peaches did
hey pick altogether?

Answers

Answer:

71,266 peaches

Step-by-step explanation:

paul=5482

peter=5482*4=21,928

sam=21928*2=43,856

5482+21,928+43,856=71,266

I’m pretty sure All together they picked around 49338 peaches together

Find the length of the line segment formed by the points (2, 3) and (2, 5)

Answers

Answer:

2 units

Step-by-step explanation:

Given data

The points are  (2, 3) and (2, 5)

x1= 2

y1= 3

x2= 2

y2= 5

substitute into the distance between two points formula

d=√((x_2-x_1)²+(y_2-y_1)²)

d=√((2-2)²+(5-3)²)

d=√(2)²)

d=√4

d= 2 units

Hence the length is 2 units

2
A sum of money is shared in the ratio 2:3
If the larger share is £27, how much money is there altogether?

Answers

Answer:

45 euros

Step-by-step explanation:

When the whole ratio is equals to 5 and 3 parts are 27 euros first we should find of one part which 27 divide by 3 equals to 9 then 9 times 5 equals to 45 euros the answer is 45 euros

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x = 9
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Answers

Answer:

16 subsets

Step-by-step explanation:

To know the number of subsets that the set have, we will have to find the power of the set.

Given the set a = ( a,b,c,d)

P(a) = 2^n where;

n is the total number of element in the set

n = 4

p(a) = 2^4

P(a) = 16

Hence the set has 16 subsets

Karen spent 39 minutes knitting 3 hats. In all, how many hats could Karen knit in 117 minutes?

Answers

Answer:

9

Step-by-step explanation:

i did the math

What is the value of the x?

Answers

Answer:

53

Step-by-step explanation:

37+90=127

180-127=53

help asap i will give brainliest

Answers

Answer: 6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Determine the x- and y-intercepts of the graph of x−4y=8.

Then plot the intercepts to graph the equation.

Answers

Answer:

y-intercept = -2

x-intercept = 8

Step-by-step explanation:

[tex]x - 4y = 8\\x = 0 => y = -2\\y=0 => x = 8[/tex]

Francis ran 2 1/5 miles in 7/12 of an hour. How many miles can Francis run in one hour?

Answers

Answer:

3 7/10 miles

Step-by-step explanation:

divide miles by hours

11/5 ÷ 7/12  =  11/5 · 12/7  =  132/35 or 3.7 mph

help please (place and label the following numbers on the number line. Order them as best as you can.)
-1
1.75
-1.75
-2
-2.5
-5/2
9/4

Answers

Answer:

least to greatest in order: -5/2(-2.5), -2.5, -2, -1.75, -1, 1.75, 9/4(2.25)

The numbers -1, 1.75, -1.75, -2, -2.5, -2.5, and 2.25 represented on the number line are given below.

What is a number line?

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The following numbers on the number line are given below.

-1, 1.75, -1.75, -2, -2.5, -5/2, 9/4

Convert the fraction number into a decimal number. Then we have

-1, 1.75, -1.75, -2, -2.5, -5/2, 9/4

-1, 1.75, -1.75, -2, -2.5, -2.5, 2.25

The numbers -1, 1.75, -1.75, -2, -2.5, -2.5, and 2.25 represented on the number line are given below.

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Drag each expression to show whether it is equivalent to 6(4x−1), 24x+6, or (4⋅6x)+(4⋅2) somebody please help me i need to get this right

Answers

1.We have to find equivalent expression of ⇒ 54 x+18

These are the equivalent expression of

=3×3×3×2× x+3×3×2

=3×3×2×(3 x+1)

=18×(3 x+1)

2.⇒Equivalent expression of→ 18×(3 x-1)

=18× 3 x -18------[Using commutative property of Multiplication with respect to subtraction)

=54 x-18

3.⇒Equivalent expression of→6×9 x+ 6×1

                 =54 x +6

⇒Option B

6×9 x +6×3-------equivalent expression of →54 x+18

⇒Option C

54 x+6-------equivalent expression of →6×9 x+ 6×1

⇒Option D

3×(18 x+2)------equivalent expression of →6×9 x+ 6×1

⇒Option F

9×6 x -9×2-------equivalent expression of → 18×(3 x-1)

(credit to: not me-)

Answer:

wrong question i'm sorry, but I can't delete this lol so here's my question :(

Drag each expression to show whether the expression is equivalent to 12x−6, 24x+12, or neither.

Will give brainless ⭐️!!!
A triangle is translated 4 units down and 8 units to the right
Which translation returns it to its original location?
O(x, y) - (x + 4, y - 8)
o (x, y) - (x - 8, y + 4)
O (x, y) - (x - 4, y + 8)
O(x, y) — (x + 8, y - 4)

Answers

Answer:

It's the second on, 4 units up and 8 units to the left

the second one is the answer

can anyone help me please ?

Answers

Answer: 84 dollars

Step-by-step explanation:

The answer is 84....

About 5% of the surface area of the U.S. is water. What decimal represents the amount of the U.S. surface area taken up by water?

This is the last question on my homework whoever answers gets brainliest :)

Answers

Answer:

.05

Step-by-step explanation: .5 would be 50%

Please help thank you! (read the screenshot)

Answers

Answer:

Step-by-step explanation:

Answer:

i dont know this one sorry wish i could help

Step-by-step explanation:

16. Using a standard 52 card deck, what is the probability of pulling the king of hearts if you are
given two attempts (you will pull out one card and then another card)?

Answers

Answer:

Step-by-step explanation:

The way to do this (I think) is to figure out the probability of not getting said king on either throw.

First Throw: P(no King Hearts) = 51/52

Second Throw: P(no King Hearts) = 50/51

Total probability = 51/52*50/51 = 50/52

Therefore the probability of getting it right is

P(KH) = 1 - 50/52 = 2/52 = 1/26

I have a feeling that this is not correct. If you get a different answer  that looks reasonable, take it.

If a car travels at an average speed of 68 miles an hour, how many miles will the car
travel in 3 hours and 30 minutes?​

Answers

Answer:

I did the math and I think its 238 if I'm wrong I'm sorry

-3(2x+1)+x
Please help me thx:)

Answers

-5x-3 (that’s if you are asking for that to be simplified)

Write a multiplication equation and a division equation that represent this situation. Use “?” to represent the unknown quantity.

Answers

Answer:

csdkc kwhbfc d cjasd c

Step-by-step explanation:

sdjnf ewaihfbashehkf liq4bf;wjhf

In one particular suburb, there are 5 families that own a boxer. If there are a total of
25 families that own a dog in general, then what percentage of dog owners have a boxer?
Round your answer to the nearest whole number if necessary.

Answers

Answer:

60%

Step-by-step explanation:

Explanation:

To get percentages, take the part of a population that is being specified and divided that by the whole population and multiply that value by  

100

%

.

So there are  

30

people that own boxers, this is the specific population that is being compared to the whole dog-owning population, which is comprised of  

50

total families. So

30

50

can be reduced to  

3

5

and that gives us  

.6

When that value is multiplied by  

100

%

, it gives us our percentage of

.6

100

%

=

60

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