1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ololo11 [35]
3 years ago
6

You are going to meet a friend at the airport. Your experience tells you that the plane is late 70% of the time when it rains, b

ut is late only 20% of the time when it does not rain.What is the probability that the plane will be late?
Mathematics
1 answer:
Feliz [49]3 years ago
6 0

Answer:

0.4

Step-by-step explanation:

Probability of rain = P(R)

Probability of late plane = P(L)

So, the probability of no rain = P(R')

Breaking it down

If it rains, 40% chance, P(R) = 0.4

That the plane would be late if it rains = 70% × 40%, that is, P(R n L) = 0.7 × 0.4 = 0.28, 28% of the total chance.

That the plane would be on time if it rains = 30% × 40%, that is, P(R n L') = 0.3 × 0.4 = 0.12, 12% of the total chance.

If it doesn't rain, 60% chance, P(R') = 1 - P(R) = 1 - 0.4 = 0.6

That the plane would be late if it doesn't rain = 20% × 60%, that is, P(R n L') = 0.2 × 0.6 = 0.12, 12% of the total chance.

That the plane would be on time if it doesn't rain = 80% × 60%, that is, P(R' n L') = 0.8 × 0.6 = 0.48, 48% of the total chance.

So, probability that the plane would be late = P(L) = P(R n L) + P(R' n L) = 0.28 + 0.12 = 0.4 = 40%

You might be interested in
Please solve for M<PRQ​
MakcuM [25]

Answer:

m\angle PRQ =49\degree

Step-by-step explanation:

m\angle PSQ = 360\degree - (128\degree + 134\degree )

m\angle PSQ = 360\degree - 262\degree

m\angle PSQ = 98\degree

Now, by inscribed angle theorem:

m\angle PRQ = \frac{1}{2} \times m\angle PSQ

m\angle PRQ = \frac{1}{2} \times 98\degree

m\angle PRQ =49\degree

5 0
2 years ago
2/v + 2 = 9 solve for v
kenny6666 [7]
2/v+2=9
-2 -2
2/v=7
(2)2/v=7(2)

V=14
6 0
3 years ago
Read 2 more answers
Which of these are mathematical laws that help us solve numerical problems? decimals graphs formulas percentages fractions
ladessa [460]
Formulas are mathematical laws that help us solve problems.

Decimals are a type of number; graphs are displays of data; percentages are comparisons of a number to 100; and fractions are a type of number.
6 0
2 years ago
Read 2 more answers
F(2)=-7<br> f(x) = f(x-1) + 1
m_a_m_a [10]

Answer:

F930

Step-by-step explanation:

You guys suck so much ohhhhhhhhhhhhhhhhhhhhh

3 0
2 years ago
It's the day before Valentine's Day and Shelly needs to get Valentine cards for all of her classmates.The desks are arranged in
Vitek1552 [10]

Answer:

32

Step-by-step explanation:

No of desks along  length of the rectangle = 7 as it is 7 rows wide.

No of desks along  breadth of the rectangle = 7 as it is 5 rows long.

Total number of students is product of these two numbers.

So number of students = 35.

But three desks are empty.

Total students = 35- 3

                         = 32.

4 0
2 years ago
Other questions:
  • Find the value of y.
    15·1 answer
  • Write each fraction or mixed number as a decimal.
    15·1 answer
  • A scuba diver is 33 feet below sea level, while a hiker is 64 feet above sea level directly overhead on the cliffs overlooking t
    14·2 answers
  • If 10 pounds of potatos cost 6.55 how much would 1 pound cost
    12·2 answers
  • I need help please someone help me
    7·1 answer
  • Match each equivalent expression with the property that it represents.
    10·1 answer
  • Tanisha rode her bike 19.625 miles in 2.5 hours. What was her average speed
    12·2 answers
  • Please help! Thank you! :D Giving brainlest
    11·1 answer
  • WHAT VALUE ARE SOULTIONS TO X&lt;7
    13·1 answer
  • I’m quitting rob lox anyone want my account?<br> Yes I took a pic of my pass and user to not forget
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!