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]
4 years ago
15

ABC Company prints text books. They use two modes of transportation to ship, rail and truck. In the 20 years during which they h

ave operated, only 2 percent of the packages carried by rail and only 3.5 percent of the packages carried by truck have been lost. The claims manager receives a call and is informed that a package containing text books sent by ABC Company has been lost. ABC sends 60% of the packages by rail and 40% by truck. The text books are indeed lost. What is the probability the text books were shipped by truck
Mathematics
1 answer:
yuradex [85]4 years ago
4 0

Answer:

53.85% probability the text books were shipped by truck

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

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: Textbooks lost.

Event B: Shipped by truck.

40% of the packages sent by truck.

This means that P(B) = 0.4

3.5 percent of the packages carried by truck have been lost.

This means that P(A|B) = 0.035

Probability package is lost:

60% probability it is sent by rail. Of those, 2% are lost.

40% sent by truck. Of those, 3.5% are lost.

So

P(A) = 0.6*0.02 + 0.4*0.035 = 0.026

What is the probability the text books were shipped by truck

P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.4*0.035}{0.026} = 0.5385

53.85% probability the text books were shipped by truck

You might be interested in
Keri has $30.67. She goes to Target and buys a pack of pencils for $2.38 and an eraser for 56 cents. How much money did Keri spe
AlekseyPX

Answer:

Keri spent $2.94 and Keri now has $27.73.

Step-by-step explanation:

$2.38+$0.56= $2.94

$30.67-$2.94=$27.73

6 0
3 years ago
Dwight and Walt are building model cars. Dwight builds 7 fewer models than 4 times the number Walt builds.Dwight builds at most
romanna [79]

 4x-7\leq 9  inequality could be used to find the number of models Walt builds. Correct option B).

<u>Step-by-step explanation:</u>

Here we have , Dwight and Walt are building model cars. Dwight builds 7 fewer models than 4 times the number Walt builds.Dwight builds at most 9 models. We need to find Which inequality could be used to find the number of models Walt builds . Let's find out:

Let the  the number Walt builds is x , So Dwight builds 7 fewer models than 4 times the number Walt builds i.e.

⇒ 4x-7

But , according to question Dwight builds at most 9 models i.e.

⇒ 4x-7\leq 9

⇒ 4x\leq 16

⇒ \frac{4x}{4}\leq \frac{16}{4}

⇒ x\leq 4

Therefore ,  4x-7\leq 9  inequality could be used to find the number of models Walt builds which is Dwight builds at most 9 and Walt builds at most 4 .

4 0
3 years ago
9. The endpoints of a diameter of a circle are A (2,1) and B(5,5). Find the area of the circle in terms of . (1 point)
Georgia [21]

Answer:

Area of the circle is 6.25π sq.unit

Step-by-step explanation:

The centre of the circle is at the mid point of a diameter. Th mid point of the diameter is at (5+22,5+12)or(72,3),which is centre. Radius is the distance from end point (5,5)to centre (72,3)∴r=√(5−72)2+(5−3)2=√1.52+4=√6.25=2.5∴

Area of the circle is Ac=π⋅r2=π⋅2.52=6.25π sq.unit[Ans]

5 0
3 years ago
Read 2 more answers
£90 is divided between Mark, Henry &amp; Gavin so that Mark gets twice as much as Henry, and Henry gets three times as much as G
Phantasy [73]

Answer:

Mark gets £54

Step-by-step explanation:

Let Gavin share=x

Henry=3x

Mark=2(3x)

x+3x+2(3x)=£90

x+3x+6x=£90

10x=£90

x=9

Gavin=x=£9

Henry=3x

=3(9)=£27

Mark=2(3x)

=2(3*9)

=2(27)

=£54

4 0
3 years ago
The Factors shot 5 rolls of film with 36 exposures on each roll. It cost $14.85 to process each roll. How much did it cost for e
kondor19780726 [428]
Your answer is .41, hope this helps
6 0
3 years ago
Read 2 more answers
Other questions:
  • Ok guys good luck 6[4x(72-63)/3] ( / =divided by )
    7·1 answer
  • What number is 45% of 90 explain?
    7·2 answers
  • Below are the data collected from two random samples of 100 members of a large travel club regarding the type of vacation they p
    10·2 answers
  • A department store sells yellow and purple shirts. Each yellow shirt is the same price. Each purple shirt is the same price. How
    12·2 answers
  • What two numbers multiply to -60 and add to -11
    8·1 answer
  • Please help with this question!
    15·1 answer
  • What are the coordinates of side HI?
    8·1 answer
  • Verbal expression for the following numerical expression: ( 4 + 9 ) x 3
    7·1 answer
  • Giving 40 points PLEASE help ASAP The ratio of the number of teachers to students in a school is 3:35. The ratio of male student
    15·1 answer
  • Salary paid ra10,000 and still due rs2000 ​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!