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
oksano4ka [1.4K]
4 years ago
11

A high school is offering 3 classes: math, physics, and chemistry. The classes are open to any of the 100 students in the school

. There are 28 students in the math class, 26 in the physics class, and 16 in the chemistry class. There are 12 students who are in both math and physics, 4 who are in both math and chemistry, and 6 who are in both physics and chemistry. In addition, there are 2 students taking all 3 classes. If a student is chosen randomly, what is the probability that he or she is not in any of the classes?

Mathematics
1 answer:
worty [1.4K]4 years ago
5 0

Answer: Student is chosen randomly than probability of every student is same to chosen = \frac{50}{100}

Step-by-step explanation:

No of student = 100

Let A denote Math class , B denote Physics class , C denote Chemistry class

n(A) = 28 , n(B) = 26 , n( C)= 16

Student both in math and physics class = n(A\bigcup B) = 12

Student both in math and chemistry = n(A\bigcup C) = 4

Student both in physics and chemistry = n(B\bigcup C) = 6

Student taking all classes = n(A\bigcap  B\bigcap c) = 2

Student is chosen randomly than probability of every student is same to chosen

probability of 1 student being chosen = \frac{1}{100}

student is chosen randomly then probability of student he or she not taking any classes

but from the Venn diagram the probability is = \frac{50}{100}

P(A\bigcup B\bigcup C)^{c} =   1-P((A\bigcup B\bigcup C))

P((A\bigcup B\bigcup C)) = P(A) + P(B) + P(C) - P(A\bigcap B) - P(B\bigcap C) - P(A\bigcap C) + P(A\bigcap  B\bigcap c)  ( using venn diagram)

= \frac{28}{100} + \frac{26}{100} + \frac{16}{100} - \frac{12}{100} - \frac{4}{100} - \frac{6}{100} + \frac{2}{100}

= \frac{50}{100}

P(A\bigcup B\bigcup C)^{c} = 1-P((A\bigcup B\bigcup C))

= 1 -  \frac{50}{100} = \frac{50}{100}

You might be interested in
Please help me with this. No links or files allowed! Explanation needed!
jonny [76]

Answer:

1/368

Step-by-step explanation:

I think that it is you add the number twice like 23+23=46 so you would do 184+184 or 184*2 to get you answer I hope this helps

7 0
3 years ago
Read 2 more answers
Solve the system y = -x + 7 and y = -0.5(x - 3)2 + 8
arlik [135]

Answer:

The solution of the system is at point (1,6) and (7,0).

Step-by-step explanation:

Given : System of equation y=-x+7 and y=-0.5(x-3)^2+8

To find : Solve the system of equation?

Solution :

We solve the equation graphically as the intersection points give you the solution of the system.

The equation given is one linear and one parabolic.

(1) y=-x+7 is a linear equation in red line passes through (0,7) and (7,0).

(2) y=-0.5(x-3)^2+8 is a parabolic equation in blue line passes through (-1,0) and (7,0)

The intersection point of the equations are (1,6) and (7,0).

<u>Refer the attached figure below.</u>

Therefore, The solution of the system is at point (1,6) and (7,0).

3 0
4 years ago
You save $5,000.00 and invest 60% of it in stocks while leaving the rest in a savings account earning a 4.9% APR. The stock incr
Sati [7]
Hi there:)
Amount invested in stock
=5000×0.6=3000
Amount invested in a saving account
5000-3000=2000

The stock increases 9% in the first year
3,000×(1+0.09)=3,270
and loses 4% of its value the second year
3,270×(1−0.04)=3,139.2
Amount of a saving account after two years
2,000×(1+0.049)^(2)=2,200.8

the total amount gained during the 2 years
3,139.2+2,200.8=5,340...answer

Hope it helps
3 0
3 years ago
The boys go to the store after their “Time-Out" to buy flowers for Lisa as
SpyIntel [72]

Answer:

20% of the carnations have wilted.

I hope this helps you :D

8 0
3 years ago
1/6(x-5)=1/2(x+6) help
anygoal [31]

Answer: x= -23/2

Step-by-step explanation:

multiply both sides of the equation by 6

x-5=3(x+6)

distribute 3

x-5=3x+18

move variables to lest-hand side and change sign

x-3x=18+5

like terms

-2x=23

the divide both sides by -2

x= -23/2

7 0
3 years ago
Other questions:
  • anna has a 10 foot long ladder that she is going to rest against a vertical wall along the bottom of a window still that is 8.5
    14·1 answer
  • an amusement park ride cannot safely restrain people under 50 in tall or over 78 in tall. write two different inequalities that
    14·1 answer
  • Find the percentage of $23,010 x 6.0%
    9·1 answer
  • The point (17,−9) is translated to the point (6,2). Select the description of the translation.
    8·1 answer
  • Question 6
    15·1 answer
  • 2-13^3-10(23+21) = X
    7·2 answers
  • The consecutive monthly flows into and out a reservoir in a given year are the following, in relative units: Month J F M A M J J
    6·1 answer
  • Help me plssssssssssssss
    8·2 answers
  • 0.006 Reapting <br><br><br>does anyone know what it is??​
    14·1 answer
  • According to the diagram, which are congruent? check all that apply.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!