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
cluponka [151]
3 years ago
12

Box 1 contains 3 blue and 5 red balls, whereas Box 2 contains 2 blue and 4 red ball. A ball is randomly chosen from Box 1 and th

en transferred to Box 2, and a ball is then randomly selected from Box 2. What is the conditional probability that the transferred ball was blue, given that a red ball is selected from Box 2 (round off to second decimal place)?
Mathematics
1 answer:
muminat3 years ago
3 0

Answer:

0.32

Step-by-step explanation:

Let A be the event that the transferred ball was blue.

B be the event that the red ball is selected from box 2

C be the event that the transferred ball was red

Then:

P(A) be the probability that the transferred ball was blue, which is 3/8

P(C) be the probability that the transferred ball was red, which is 5/8

P(B|A) is the probability that selected ball is red, given that the transferred ball was blue, which is 4/7

P(B|C) is the probability that selected ball is red, given that the transferred ball was red, which is 5/7

P(B) is the probability that the selected ball is red, which there are 2 scenarios, given that the transferred ball is blue and red

P(B) = P(B|A)P(A) + P(B|C)P(C)

P(B) = \frac{4}{7}\frac{3}{8} + \frac{5}{7}\frac{5}{8}

P(B) = \frac{3}{14} + \frac{25}{56} = \frac{37}{56}

P(A|B) is the probability that the transferred ball was blue, given that a red ball is selected from Box 2, which can be solved using Bayes theorem

P(A|B) = \frac{P(B|A)P(A)}{P(B)} = \frac{\frac{4}{7}*\frac{3}{8}}{\frac{37}{56}} = \frac{3}{14}\frac{56}{37} = \frac{12}{37} = 0.324

You might be interested in
Sarah is paid biweekly. Her annual salary is $33,000.
bezimeni [28]

Answer:

$1269.23

Step-by-step explanation:

Since Sarah is paid biweekly (every 2 weeks), and there are 52 weeks in a year...

52 ÷ 2=26

Sarah is being paid 26 weeks out of the year.

Divide 33,000 by 26 (I only list 4 places after the decimal):

33000 ÷ 26=1269.2307

Round 1269.2307 to the nearest cent (hundredth):

1269.23

3 0
3 years ago
I need the smaller and larger angle
SSSSS [86.1K]

Answer:

x=11

Step-by-step explanation:

(4x)+(3x+13)=90                

if you look at the beam, it includes a 90 degree angle.

7x+13=90

distributive property

7x=77

subtracted both sides by 13

x=11

divided both sides by 7 to isolate x

4(11)         3(11)+13

44             33+13

                36

4(x) is the larger angle

6 0
3 years ago
2 Complete the statement An B = {...}
slamgirl [31]
B= What’s the question. Maybe try looking at math-way
4 0
3 years ago
Complete the square to put () in vertex form. () = 3<br> 2 + 30 − 12. What is the vertex?
gulaghasi [49]

Answer:

A and A

the equation of a parabola in vertex form is

y = a(x - h)² + k

where ( h, k ) are the coordinates of the vertex and a is a multiplier

y = - 2(x + 3)² + 2  is in this form

with vertex = ( - 3, 2)

To find the y-intercept let x = 0

y = - 2(3)² + 2 = - 18 + 2 = - 16

Similarly

y = - 2(x + 2)² + 2 is in vertex form

vertex = ( - 2 , 2)

x = 0 : y = - 2(2)² + 2 = - 8 + 2 = - 6 ← y- intercept

hope this helped

8 0
2 years ago
What are the polar coordinates for (-7, 7)?​
scZoUnD [109]

Answer:

The polar form of (7, - 7) is (r, θ) = (7√2, - π/4)

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Is x=-2 calculate the value of x2 +2x
    14·1 answer
  • What is 35 times 676
    13·2 answers
  • What is the estimate of 176?
    8·1 answer
  • What is the surface area of a cylinder with base radius 444 and height 555?
    11·1 answer
  • A pair of shoes cost $22.99 to make, the local store sells them for $36.99. What is the percent markup? (Round to the nearest hu
    12·1 answer
  • Yard #1: Part 1<br> Find the Area of the entire yard.
    9·1 answer
  • Need help with this.
    8·2 answers
  • I have a big test coming up and i nedd help with this question please :)
    11·1 answer
  • How to solve the equation 8b - 12 = 5b
    13·1 answer
  • Five friends buy tickets to a carnival. They each also spend $4 on a funnel cake. They spent a total of $60. How much does one t
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!