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
Gnom [1K]
3 years ago
13

In a large school, it was found that 71% of students are taking a math class, 77% of student are taking an English class, and 58

% 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.
Mathematics
1 answer:
Anni [7]3 years ago
8 0

Answer:

P (Math or English) = 0.90

Step-by-step explanation:

* Lets study the meaning of or , and on probability

- The use of the word or means that you are calculating the probability

  that either event A or event B happened

- Both events do not have to happen

- The use of the word and, means that both event A and B have to

  happened

* The addition rules are:

# P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen

  at the same time)

# P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they  

   have at least one outcome in common)

- The union is written as A ∪ B or “A or B”.  

- The Both is written as A ∩ B or “A and B”

* Lets solve the question

- The probability of taking Math class 71%

- The probability of taking English class 77%

- The probability of taking both classes is 58%

∵ P(Math) = 71% = 0.71

∵ P(English) = 77% = 0.77

∵ P(Math and English) = 58% = 0.58

- To find P(Math or English) use the rule of non-mutually exclusive

∵ P(A or B) = P(A) + P(B) - P(A and B)

∴ P(Math or English) = P(Math) + P(English) - P(Math and English)

- Lets substitute the values of P(Math) , P(English) , P(Math and English)

 in the rule

∵ P(Math or English) = 0.71 + 0.77 - 0.58 ⇒ simplify

∴ P(Math or English) =  0.90

* P(Math or English) = 0.90

You might be interested in
You have $50 and are buying some movies on DVDs that cost $15 each. Write an expression that shows how
alexdok [17]

Answer:

50 - 15m

Step-by-step explanation:

You start out with 50 dollars so that is the constant.

Each DVD is 15 dollars, so for every dvd(m) it is 15 dollars.

3 0
2 years ago
The board of a large company is made up of 7 women and 9 men. 6 of them will go as a delegation to a national conference.
Burka [1]

Answer:

a) 5765760

b) 60480

c) 5705280

Step-by-step explanation:

Assuming that order is not important:

Number of women = 7

Number of men = 9

Members of the delegation = 6

a) How many delegations are possible?

n=\frac{16!}{(16-6)!}=16*15*14*13*12*11\\ n= 5765760

b) How many of these delegations have all men?

n_{men} = \frac{9!}{(9-6)!}=9*8*7*6*5*4  \\n_{men} = 60480

c) How many of these delegations have at least one woman?

n_{women >0}=n-n_{men}\\n_{women >0} =5765760-60480\\n_{women >0} =5705280

4 0
3 years ago
Assume that women's heights are normally distributed with a mean given by , and a standard deviation given by . μ = 63.5 in σ =
tresset_1 [31]
<span> (a) if 1 woman is randomly selected, find the probability that her height is less than 64 in
using z-score formula:
z-score=(x-mu)/sig
(64-63.5)/2.8
=0.18
thus
P(x<64)=P(z<0.18)-=0.5714

B] </span><span> if 33 women are randomly selected, find the probability that they have a mean height less than 64 in
using the central limit theorem of sample means, we shall have:
2.8/</span>√33=0.49
since n>30 we use z-distribtuion
z(64)=(64-63.5)/0.49=1.191
The
P(x_bar<64)=P(x<1.191)=0.8830
8 0
3 years ago
Please help me (attachment)<br><br>PLease DO NOT FLAG it appilies to all the rules!
lara31 [8.8K]
9) 46
10) 4
11) 46
12) 5.8
13) 36
14) 34
15) 9
16) 56
5 0
1 year ago
Read 2 more answers
Is the fraction 6 over 6 equivalent to 6
Alex17521 [72]

Answer:

D o you have the problem so I can see what I the question is?

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • the. radio of the radius and height of a cylinder 2:3 if the volume is 12.936cm cube find tsa of cylinder
    7·1 answer
  • Which of the following graphs represents the function f(x) = x2 + x − 6?
    12·2 answers
  • How to solve 3x+4=9x-8
    10·2 answers
  • PLS HELP WORH THE LAST ONE TYSM PLS ANSWER WITH AN EXPLANATION TYSM
    14·1 answer
  • Fill in the table for the following rule:
    13·1 answer
  • Help please!!!!!!!!!!!!
    14·2 answers
  • Pz daddy help me please​
    8·2 answers
  • I need help ill do anything
    10·1 answer
  • Answer pls urgent shhzhzhsensnsj
    9·1 answer
  • What is the answer for 3(h-5)
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!