88% of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 72% have an emergency locator, whereas 86% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared.
A) If it has an emergency locator, what is the probability that it will not be discovered?B) If it does not have an emergency locator, what is the probability that it will be discovered?C) If we consider 10 light aircraft that disappeared in flight with an emergency recorder, what isthe probability that 7 of them are discovered?

Answers

Answer 1

Answer:

a) [tex]P(D'/L)=0.03[/tex]

b) [tex]P(D/L')=0.7[/tex]

Step-by-step explanation:

From the question we are told that

Probability of discovered [tex]P(D)=0.88[/tex]

Probability of aircraft with locator [tex]P(L/D)=0.72[/tex]

Probability of lost aircraft without locator [tex]P(L'/D')=0.86[/tex]

Generally the probability that aircraft are not discovered is mathematically given as

[tex]P(D')=1-0.88[/tex]

[tex]P(D')=0.12[/tex]

Generally the probability that aircraft with locator are discovered is mathematically given as

[tex]P(L'/D)=1-0.72[/tex]

[tex]P(L'/D)=0.28[/tex]

Generally the  Probability of lost aircraft without locator mathematically given as

[tex]P(L/D')=1-0.86[/tex]

[tex]P(L/D')=0.14[/tex]

Generally the  Probability of having a locator mathematically given as

[tex]P(L)=P(L/D)*P(D)+P(L/D')*P(D')[/tex]

[tex]P(L)=0.72*0.88+0.14 *0.12[/tex]

[tex]P(L)=0.6504[/tex]

a)Generally the  Probability of getting lost even with locator mathematically given as

[tex]P(D'/L)=\frac{P(L/D')(P(D')}{P(L)}[/tex]

[tex]P(D'/L)=\frac{0.14*0.12}{0.6504}[/tex]

[tex]P(D'/L)=0.0258302583[/tex]

[tex]P(D'/L)=0.03[/tex]

b)Generally the  Probability of getting lost even with locator mathematically given as

[tex]P(D/L')=\frac{P(L'/D)(P(D)}{P(L')}[/tex]

[tex]P(D/L')=\frac{0.28*0.88}{1-0.6504}[/tex]

[tex]P(D/L')=0.704805492[/tex]

[tex]P(D/L')=0.7[/tex]


Related Questions

Morgan’s books sold 660 bookmarks last year, in comparison to 528 bookmarks this year. What is the percent of decrease in the number of bookmarks sold annually

Answers

Answer:

A 20% decrease I believe

Step-by-step explanation:

So, you subtract 660-528 which is 132. You then divide that by 660 and you get 0.2 or 20%

I just learnt this in math today so I hope it helps you and I hope it's correct :>

Help me please guys .
What is the answer?


4.3

4.2

4.1

4.4

Answers

Cosine = adjacent/ hypotenuse
cos(53) = x/7
7 * cos(53) = x
x = 4.2

Sine = opposite / hypotenuse
sin(53) = y/7
7 * sin(53) = y
y = 3.2

A student wrote the following equation for the graph: y = -3/2 - 4. This is incorrect. What is the mistake? What is the correct equation?​

Answers

Their mistake was doing run over rise so the correct equation should be y= -2/3x -4. I hope this helps

Answer:

y=6

Step-by-step explanation:

y= -3/2(-4) : y=4

y=-2 3/4(-4)

y=3/2. 4

y= 3×4/2

y =12/2

12/2 =6

y =6

Solve for n:
3(2−8n)=3n+6

Select one:

-15

5

-5

0

Answers

n=0 bc you remove the parentheses, cancel the equal terms what would be 6 being cancel it would look like -24n=3n now and move the variable to the left collet like terms and then you will divide the sides. Your answer is 0

Bella and Zoe went blueberry picking. Their blueberries weighed a total of 23.4 ounces. If Bella's
blueberries weighed 11.9 ounces, how many ounces (z) did Zoe pick? *

Answers

Answer:

Zoe picked 11.5 ounces

Step-by-step explanation:

23.4 - 11.9 = 11.5 ounces

PLEASE HELP THIS IS DUE TODAY

Answers

Answer:

do u want the answers to the whole book? I can give u a link...

Step-by-step explanation:

its 0.125

Given the function f(x) =2x+5 what would the output be with an input of 6?

Answers

The output would be 17

What is the constant of proplity?
O 0.75
O 0.8
01.25
O 1.5

Answers

the answer to the problem- 1.5

Hello, how are you?. I need help. Do you know where they sell teething toys for puppies in California?​

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Petco has a bunch of stuff for puppies

The sum of the digits in a two-digit number is 16. The digit in the tens place is 2 more than the digit in the
ones place. The system of linear equations shown below represents this situation, where x is the digit in
the tens place and y is the digit in the ones place. Solve the system to find the two-digit number.
(x + y = 16
Ix-y=2
The two digit number is

Answers

Answer:

kapag napag aralan mo yan beh malalaman mo yung sagot kapit lang tiwala ka lang pag aralan mo tignan mo malalaman mo yung sagot jan wag kang magagalit dahil totoo yung sinbi ko cge keep safe and god bless..

Greta currently works 45 hours per week and earns a weekly salary of $729. She
will soon be starting a new job where her salary will be increased by 10% and her hours reduced by 10%.

How much more will she be earning per hour at her new job?

PLEASE SHOW YOUR WORK!!

Answers

Answer:

Greta will be earning 3.6/h more at her new job.

Step-by-step explanation:

To find the difference subract Greta‘s salary from her current job from Greta’s salary from her future job.

To find Greta’s salary (numerator) at her future job divide her current weekly salary ($729) by 45h then multiply that answer (16.2) by the increase in salary 10% or 1.1. You should end up with $17.82- this is your numerator. To find the denominator divide her current hours (45h) by 45 then multiply that answer (1) by 0.9 which is the 10% decrease in hours. Now you have a fraction ($17.82/0.9) then multiply that fraction by 1.1/1.1 to get the denominator to 1 hour so you can subtract the fractions. You should end up with $19.8/h.

Now subtract Greta’s current salary ($16.2/h)- you just take the numbers from the first part before you increase or decrease- from her future salary ($19.8/h), you will end up with 3.6/h.

I was challenged to write this in a single equation:

[((($729\45h)x1.1)/((45h\45)x0.9))x1.1/1.1]-[($729\45h)/(45h\45)]

=$3.6/h

/ means a fraction bar

\ means division

Also I am just a student so please tell me if you find any mistakes I could fix or any suggestions to make this a better explanation, and if you have any questions ask away.

If -10x+3y = 9 and -4x+7y =1 are true equations,what would be the value of -6x-4y

Answers

Answer:

8

Step-by-step explanation:

Notice: we do not have to solve for x, and y. All we really have to do is to subtract the two equations.

(-10x + 3y) - (-4x + 7y) = 9 - 1.

Taking off the parentheses, we get:

-10x + 3y + 4x - 7y = 8.

Simplifying, we get:

-6x - 4y = 8.

So, the answer is 8.

Enter the value for x that makes the equation true.​

Answers

Answer:

Step-by-step explanation:

⅔(x-6) = ¾(x+16)

Multiply both sides by 12

8(x-6) = 9(x+16)

8x - 48 = 9x + 144

x = -192

How do I turn 42-5=37 into 42=37+5?

Answers

Answer:

You move the -5 to the other side.

Answer:

you move the -5 to the other side equation

out of 75/6 is 72%. (Write as a fraction in simplest form.)

Answers

Answer:22%

Step-by-step explanation:

The simplest form of the total of 75/6 would be 432 / 7500.

What is the percentage?

A percentage is a minimum number or ratio that is measured by a fraction of 100. Suppose the value of which a thing is expressed in percentage is "a' Suppose the percent that considered thing is of "a" is b%

Then the percent; per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Given that out of 75/6 is 72%.

Therefore, it will be written as;

x of 75/6 = 72%.

We need to find the value of total x.

x of 75/6 = 72%.

x × 75/6 = 72%

x × 75/6 = 72/100

Cross multiplication;

x = 72/100  ×  6/75

x = 432 / 7500

x = 0.0576

Hence, the simplest form of the total of 75/6 would be 432 / 7500.

Learn more about percentages;

brainly.com/question/24159063

#SPJ2

oh nawgs whats thay do to the bod :(

Answers

Answer:

lol

Step-by-step explanation:

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

find the vertical asympotes y= 3/ x+5

Answers

Answer:

the vertical asymptotes is x= -5

Lin is paid 90$ for 5 hours of work?


At this rate, how much would Lin be paid for 5.5 hours of work?

Answers

Answer:

99 dollars

Step-by-step explanation:

90 divided by 5 equals 18 slice that in half you get 9.

90 + 9 =99

Answer:

the awnser for this question is 99 hope this helps

A pet store has 9 ​puppies, including 2 ​poodles, 2 ​terriers, and 5 retrievers. If Rebecka and​ Aaron, in that​ order, each select one puppy at random with replacement​ (they may both select the same​ one), find the probability that Rebecka selects a terrier and Aaron selects a retriever.

Answers

Answer:

5/162

Step-by-step explanation:

Probability of getting terrier = 2/18 = 1/9

Probability of getting retriever = 5/18

5/18 x 1/9 = 5/162

Hope that helps!

Crystal receives a monthly salary of $3,980. Find her earnings per year and earnings per week.

Answers

Answer:

per year: $47,760 per year

per week: $918.46 per week

Step-by-step explanation:

$3980 per month x 12 months = $47,760 per year

$47,760 per year divided by 52 weeks = $918.4615384615

Since we're talking money, let's round off our answer to the hundredths place ($918.46 per week)

Double check our answer (918.46 x 52 = 47,760) great!

Answer:

47760 per year

918.46154 per week

Step-by-step explanation:

$3,980 x 12= $47760

$47760/52= $918.46154

On a roulette wheel, half of the slots numbered 1 through 36 are red and half are black. Two slots numbered 0 and 00, are green. What are the odds against a ball landing in a red slot on any spin of the wheel? I'm also having a hard time on this please help me!!!! :(

Answers

Answer:

Two slots, numbered 0 and 00, are green.  

What are the odds against a red slot's coming up on any spin of the wheel?

Step-by-step explanation:

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Answers

Answer:

30

Step-by-step explanation:

If CUB is 78 and that’s the full angle just to 48 minus 78 and you get your answer.

Solve w=3/7(ay+m) for y

Answers

Answer:gd

Step-by-step explanation:

Vygfy

Answer:

y = (7w - 3m) / 3a

Step-by-step explanation:

w = 3/7ay + 3/7m

multiply each side by 7 to eliminate fractions

7w = 3ay + 3m

3ay = 7w - 3m

y = (7w - 3m) / 3a

Which is less and why? -5 OR-6

Answers

-6. because -6 is farther away from 0 than -5

Please help with this anyone

Answers

Sum of angles inside a triangle is 180 degrees

So,

(6x+10)+(2x+5)+(3x-11)=180

11x+4=180
11x = 176
x = 176/11 = 16

So the required angle R will be 6(16)+10 = 106 degrees

What is a sum of 1/2 and 3/10 in simplest from

Answers

Answer:

4/5

Step-by-step explanation:

1/2=5/10

5/10+3/10=8/10

simplified or  8/10 divided by 2 =4/5 and u cant simplify it anymore

Answer:

4/5

Step-by-step explanation:

convert 1/2 to 5/10 then and 3/10 then simplify and you get 4/5

Carrie is 36 years old. She has worked in the same store for 12 years. Today, she had 63 customers. How old was Carrie when she began working in the store?
A. 24
B. 27
C. 48
D. 51

Answers

Answer:

A. 24

Step-by-step explanation:

A. 24
36-12=24
This is the final answer for this question.

A publisher reports that 40% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 200 found that 31% of the readers owned a particular make of car. Determine the P-value of the test statistic. Round your answer to four decimal places.

Answers

Answer:

[tex]p-value = 0.9953[/tex]

Step-by-step explanation:

Given

[tex]P = 40\%[/tex] --- proportion of population

[tex]n = 200[/tex] -- samples

[tex]p = 31\%[/tex] -- proportion of samples

Required

Determine the p value

First, calculate the standard deviation ([tex]\sigma[/tex])

[tex]\sigma = \sqrt{\frac{P*(1 - P)}{n}}[/tex]

[tex]\sigma = \sqrt{\frac{40\%*(1 - 40\%)}{200}}[/tex]

[tex]\sigma = \sqrt{\frac{0.40*(1 - 0.40)}{200}}[/tex]

[tex]\sigma = \sqrt{\frac{0.40*0.60}{200}}[/tex]

[tex]\sigma = \sqrt{\frac{0.24}{200}}[/tex]

[tex]\sigma = \sqrt{0.0012}[/tex]

[tex]\sigma = 0.0346[/tex]

Next, we calculate the z score

[tex]z = \frac{p - P}{\sigma}[/tex]

[tex]z = \frac{40\% - 31\%}{0.0346}[/tex]

[tex]z = \frac{9\%}{0.0346}[/tex]

[tex]z = \frac{0.09}{0.0346}[/tex]

[tex]z = 2.6012[/tex]

[tex]z \approx 2.60[/tex]

From the z table, the p value of [tex]z = 2.60[/tex] is: 0.9953

Hence:

[tex]p-value = 0.9953[/tex]

Last week, a pharmacy sold a bottle of shampoo for $5.00. This week, the shampoo sells for $6.50. By what percent did price increase?


how would we find the original price if we know the sale price and the % of savings?​

Answers

Answer:1.5 i think i dont know the second question tho

plzzzzzzzz tell fast​

Answers

It would be 7xu/ becaus
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