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
Novosadov [1.4K]
3 years ago
14

In a large school, it was found that 77% of students are taking a math class, 74% of student are taking an English class, and 70

% of students are taking both. Find the probability that a randomly selected student is taking a math class or an English class. Write your answer as a decimal, and round to 2 decimal places if necessary. Find the probability that a randomly selected student is taking neither a math class nor an English class. Write your answer as a decimal, and round to 2 decimal places if necessary.
Mathematics
1 answer:
Iteru [2.4K]3 years ago
6 0

Answer:

0.81 = 81% probability that a randomly selected student is taking a math class or an English class.

0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class

Step-by-step explanation:

We solve this question working with the probabilities as Venn sets.

I am going to say that:

Event A: Taking a math class.

Event B: Taking an English class.

77% of students are taking a math class

This means that P(A) = 0.77

74% of student are taking an English class

This means that P(B) = 0.74

70% of students are taking both

This means that P(A \cap B) = 0.7

Find the probability that a randomly selected student is taking a math class or an English class.

This is P(A \cup B), which is given by:

P(A \cup B) = P(A) + P(B) - P(A \cap B)

So

P(A \cup B) = 0.77 + 0.74 - 0.7 = 0.81

0.81 = 81% probability that a randomly selected student is taking a math class or an English class.

Find the probability that a randomly selected student is taking neither a math class nor an English class.

This is

1 - P(A \cup B) = 1 - 0.81 = 0.19

0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class

You might be interested in
Help!! plz help and full explanation plz
Lemur [1.5K]

Answer:

the answer will be 86%

Step-by-step explanation:

first you  (70x30=2100)

20x62=1240

2100-1240=860

and finally

you say 860÷10=86%

4 0
3 years ago
Major has 25 free minutes left until he needs to head to tennis practice he already spent four of the minute playing a video gam
Elan Coil [88]

Answer:

ok so he has 25 minutes in total and then we need to subtract the time hes alredy used so

25-4=21

so he has 21 minutes to do homework

Hope This Helps!!!

4 0
3 years ago
Rosa has 16 unit cubes. how many different rectangular prisms can she build with the cubes?
Serhud [2]
The volume of the prism=volume of cube
l*b*h=16(1*1*1) , since it is a unit cube 
l*b*h= 16, number of possibilities for 16 are 16*1*1,2*8*1,4*4*1,2*2*4.
Please do not take fractions into consideration because it is a unit cube only integer values will be accepted for l,b and h. 
So, total 4 possibilities.
5 0
4 years ago
Please help due tonight
Alona [7]

Answer:

n = 13

Step-by-step explanation:

1. (9n-8) and (6n-7) combined equal 180 degrees, and we can translate that into an equation and then solve it: 9n - 8 + 6n- 7 = 180

2. (Solving)

Step 1: Simplify both sides of the equation.

  • (9n+6n)+(-8-7) = 180
  • 15n-15=180

Step 2: Add 15 to both sides.

  • 15n-15+15 = 180+15
  • 15n = 195

Step 3: Divide both sides by 15.

  • \frac{15n}{15}  = \frac{195}{15}
  • n = 13

Therefore, n = 13.

3 0
3 years ago
Find the midpoint of the line segment with endpoint of (-1,14) and (7,0)?
rusak2 [61]
Midpoint Formula


M = -1 + 7/ 2. M = 14 + 0/2

6/2 =3. 14/2 =7

(3,7)
4 0
3 years ago
Other questions:
  • -5x+10x+3=5x+6 how many solutions does this equation have?
    10·2 answers
  • Whole numbers that 96 lies between
    14·1 answer
  • Describe how you think you can use U.S. traditional multiplication to multiply a 1 digit number by any size number .
    8·1 answer
  • Convert 8.3 to a percent. A. 0.083% B. 8.3% C. 83% D. 830%
    5·2 answers
  • If a man is removed from the data set, the correlation decreases only slightly from 0.83 to 0.81. Why do you think the change in
    5·1 answer
  • How to evaluate 3ac if a=4 and c=7
    9·2 answers
  • I don’t know how to do this at all. I don’t need work just the answer
    12·1 answer
  • How are the place value positions to either side of a particular number related
    13·2 answers
  • Darrien is making a solid figure out of folded paper. His solid figure has six congruent faces that are all squares. What sold f
    8·1 answer
  • Csctheta x tantheta= sectheta
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!