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
m_a_m_a [10]
3 years ago
11

Suppose that S is the set of successful students in a classroom, and that F stands for the set of freshmen students in that clas

sroom.
Find n(S ∩ F) given that n(S) = 54, n(F) = 28 and n(S ∪ F) = 58a) 112b) 24c) 82d) 0e) 140
Mathematics
1 answer:
lora16 [44]3 years ago
3 0

Answer:

b) 24

Step-by-step explanation:

We solve building the Venn's diagram of these sets.

We have that n(S) is the number of succesful students in a classroom.

n(F) is the number of freshmen student in that classroom.

We have that:

n(S) = n(s) + n(S \cap F)

In which n(s) are those who are succeful but not freshmen and n(S \cap F) are those who are succesful and freshmen.

By the same logic, we also have that:

n(F) = n(f) + n(S \cap F)

The union is:

n(S \cup F) = n(s) + n(f) + n(S \cap F)

In which

n(S \cup F) = 58

n(s) = n(S) - n(S \cap F) = 54 - n(S \cap F)

n(f) = n(F) - n(S \cap F) = 28 - n(S \cap F)

So

n(S \cup F) = n(s) + n(f) + n(S \cap F)

58 = 54 - n(S \cap F) + 28 - n(S \cap F) + n(S \cap F)

n(S \cap F) = 24

So the correct answer is:

b) 24

You might be interested in
Please answer i need help
skad [1K]
1. 72 to 50 points
50/72 = 69%
100-69= 31% decrease

2. 14 to 40 books
14 / 40 = 35%
100-35= 65% increase

3. 10 plus 30% increase
10 * 0.3 = 13
8 0
2 years ago
Read 2 more answers
What is the slope of the line that passes through the points (-6,8) and (-16,33)? write your answer in the simplest form
MrRa [10]

Answer:

slope or m= -5/2

Step-by-step explanation:

7 0
2 years ago
PLEASE HELP!!!!<br> i need help on all of these but if you only have 1 answer that’s still great
hodyreva [135]

Answer:

n = -6

x = -7

n = 27

Step-by-step explanation:

Question 1

-3n - n + 12 = 36

First we get all the variables to one side using subtraction property of equality.

-3n - n + 12 (-12) = 36 (-12)

-4n = 24

divide by the coefficient of n to isolate the variable

-4n/-4 = 24/-4

n = -6

Question 2

-2x - 3x - 15 = 20

-5x - 15 = 20

-5x = 35

x = -7

Question 3

3 + n/9 = 6

Isolate the n variable

n/9 = 6 - 3

multiply by 9

n = 27

7 0
2 years ago
Read 2 more answers
I Need help! If you help me you'll get 10 points!!
natka813 [3]

To solve this problem you must apply the proccedure shown below:

1. You have that the number of innings are expressed as a mixed number in the exercise:

102^{\frac{2}{3} }

2. If you want to write it as a decimal, you can convert the fraction as a decimal by dividing the numerator by the denominator and then, you must add this to the whole number part:

102+\frac{2}{3}=102+0.67=102.67

The answer is: 102.67

7 0
2 years ago
- 12. What is the greatest common factor of 120 and 84?
sweet [91]

Answer:

12 (the third one is the greatest common factor of 120 and 84)

7 0
3 years ago
Read 2 more answers
Other questions:
  • rectangular piece of board is 61.8 centimeters by 84.9 centimeters. What is the perimeter of the piece of board?
    10·1 answer
  • Solve the inequalities for x, and match each solution to its number line graph.
    10·1 answer
  • What times itself equals 32 (sorry i suck at maths)
    7·1 answer
  • The price of an item is $35 but you have to pay $38.22 what is the sale tax rate?
    5·1 answer
  • What is the difference between a function and a relation​
    13·1 answer
  • Potted plant:18.69<br> Discount rate: 8.25%
    15·1 answer
  • Two swimming teams are competing in a 400 meter medley relay. During the last leg of the race,
    9·1 answer
  • 1. How many students have read more than 10 books
    9·2 answers
  • Mrs. Johnson borrows $1400 with an interest rate of 5.5%. How much interest does she pay if she pays off the debt in 8 months?
    14·1 answer
  • 45 POINTS FOR AWNSER PLS EXPLAIN NUMBER 42
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!