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
Aleks [24]
3 years ago
10

A survey of 500 high school students was taken to determine their favorite chocolate candy. Of the 500 students surveyed, 150 li

ke Snickers, 204 like Twix, 206 like Reese's Peanut Butter Cups, 75 like Snickers and Twix, 98 like Twix and Reese's Peanut Butter Cups, 100 like Snickers and Reese's Peanut Butter Cups, and 38 like all three kinds of chocolate candy.
How many students like Reese's Peanut Butter Cups or Snickers, but not Twix?

Mathematics
1 answer:
Anika [276]3 years ago
6 0

Answer:

N(AUC∩B') = 121

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121

Step-by-step explanation:

Let A represent snickers, B represent Twix and C represent Reese's Peanut Butter Cups.

Given;

N(A) = 150

N(B) = 204

N(C) = 206

N(A∩B) = 75

N(A∩C) = 100

N(B∩C) = 98

N(A∩B∩C) = 38

N(Total) = 500

How many students like Reese's Peanut Butter Cups or Snickers, but not Twix;

N(AUC∩B')

This can be derived by first finding;

N(AUC) = N(A) + N(C) - N(A∩C)

N(AUC) = 150+206-100 = 256

Also,

N(A∩B U B∩C) = N(A∩B) + N(B∩C) - N(A∩B∩C) = 75 + 98 - 38 = 135

N(AUC∩B') = N(AUC) - N(A∩B U B∩C) = 256-135 = 121

N(AUC∩B') = 121

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121

See attached venn diagram for clarity.

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is the shaded part

You might be interested in
Shawna invests $8,251 in a savings account with a fixed annual interest rate of 7% compounded quarterly. What will the account b
damaskus [11]

Answer: $11,572

Step-by-step explanation:

6 0
3 years ago
Triangle ABC is congruent to triangle DFE. Find x.
Archy [21]

ΔABC ≡ ΔDFE

⇒ line EF = BC

.

<u>Solve x:</u>

3x - 4 = 20

3x = 24

x = 8

.

Answer: x = 8

4 0
3 years ago
If sales tax in a specific county is 6.5% what is the total price paid on a purchase of $156.00
olasank [31]
Then, it would be 156 + 156*6.5 /100 = 156+10.14 = $166.14
8 0
3 years ago
Displays the frequencies for categorical data in a two-way table
Nezavi [6.7K]

Answer:

l

Step-by-step explanation:

3 0
3 years ago
Jacob rolls two fair number cubes. The faces of the number cubes are labeled 1 through 6. If Jacob rolls the number cubes at the
sweet-ann [11.9K]

Answer:

(1,1), (1,2), (2,1), (2,2)

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • 9:45 on Tuesday Questions
    14·2 answers
  • Where should you endorse a check?
    15·2 answers
  • What is the result of isolating Y squared in the equation below 4X squared +25Y squared -100
    11·1 answer
  • How do you write 6.359 × 10^-14 in standard form?
    5·1 answer
  • What is the diameter of the smallest circle that would enclose 2,000 pennies?
    8·1 answer
  • Find the measure of angles a, b, c, d, and e. Only use numbers for your answers.
    6·2 answers
  • Please help me!! Thank you
    5·1 answer
  • Please help...............
    11·1 answer
  • Help me plss I have a f
    5·1 answer
  • bills normal temperature is 98.6 today ballistic and has a temperature of 104.3 how many degrees above his normal temperature is
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!