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
Musya8 [376]
2 years ago
10

The probability that event A occurs is 0.4, and the probability that events A and B both occur is 0.25. If the probability that

either event A or event B occurs is 0.6, what is the probability that event B will occur
Mathematics
1 answer:
ICE Princess25 [194]2 years ago
4 0

Answer:

The probability that event B will occur is 0.45

Step-by-step explanation:

Given;

probability that event A occurs, P(A) = 0.4

the probability that events A and B both occur, P(A ∩ B) = 0.25

the probability that either event A or event B occurs, P(A ∪ B) = 0.6

To determine the probability that event B will occur, we use probability addition rule;

P(A) + P(B) = P(A ∩ B) + P(A ∪ B)

0.4 + P(B) = 0.25 + 0.6

0.4 + P(B) = 0.85

P(B) = 0.85 - 0.4

P(B) = 0.45

Therefore, the probability that event B will occur is 0.45

You might be interested in
What is 477÷9 done using distributive property?
Tasya [4]
 the answer for 477/9= 53
5 0
3 years ago
Sqrt x^ 2 +7 -2*=x-1​
balu736 [363]
<h2>Answer:</h2>

<h3>No solution for X€®</h3><h2>Step-by-step explanation:</h2>

<h2>HOPE IT HELPS OR NOT SURE !!!!!!</h2>

8 0
2 years ago
Dr.Lee's dentist practices is open for 7 hours each day. His receptionist schedules appointments, allowing 1/2 hour for a cleani
Maurinko [17]

Step-by-step explanation:

Below is an attachment containing the solution.

4 0
3 years ago
Question 2 of 5
AlekseyPX

Given:

The different recursive formulae.

To find:

The explicit formulae for the given recursive formulae.

Solution:

The recursive formula of an arithmetic sequence is f(n)=f(n-1)+d, f(1)=a,n\geq 2 and the explicit formula is f(n)=a+(n-1)d, where a is the first term and d is the common difference.

The recursive formula of a geometric sequence is f(n)=rf(n-1), f(1)=a,n\geq 2 and the explicit formula is f(n)=ar^{n-1}, where a is the first term and r is the common ratio.

The first recursive formula is:

f(1)=5

f(n)=f(n-1)+5 for n\geq 2.

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 5. So, the explicit formula for this recursive formula is:

f(n)=5+(n-1)(5)

f(n)=5+5(n-1)

Therefore, the correct option is A, i.e., f(n)=5+5(n-1).

The second recursive formula is:

f(1)=5

f(n)=3f(n-1) for n\geq 2.

It is the recursive formula of a geometric sequence with first term 5 and common ratio 3. So, the explicit formula for this recursive formula is:

f(n)=5(3)^{n-1}

Therefore, the correct option is F, i.e., f(n)=5(3)^{n-1}.

The third recursive formula is:

f(1)=5

f(n)=f(n-1)+3 for n\geq 2.

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 3. So, the explicit formula for this recursive formula is:

f(n)=5+(n-1)(3)

f(n)=5+3(n-1)

Therefore, the correct option is D, i.e., f(n)=5+3(n-1).

6 0
3 years ago
Read 2 more answers
PLEASE ANSWER FAST AND CORRECTLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Paha777 [63]

Answer:

C. 7790.83 cm^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

We know the radius is 12.3

Using 3.14 for pi  (This will give us an approximation, not an exact value)

V = 4/3(3.14) (12.3)^3

   =7790.82984 cm^3

6 0
3 years ago
Other questions:
  • A survey of 600 randomly selected employees in Company X found that 150 of them completed web analytics training. If there were
    5·1 answer
  • Someone please help me its do Friday and i'm so lost :(
    6·2 answers
  • Factor each completely.
    10·1 answer
  • Really need help with this problem. Picture included
    14·1 answer
  • Need an answer thanks
    8·1 answer
  • What is the volume of the box with a height of 3/2 length of 7/2 and width of 5/2
    12·1 answer
  • Solve using elimination.
    6·1 answer
  • A jar contains at least 600 marbles. Two-thirds of the marbles are red. The rest are blue. How many marbles are blue?
    8·2 answers
  • A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 14cm. A stone is placed in the water
    14·2 answers
  • Please help! I don't understand this!! Solve using substitution:
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!