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
worty [1.4K]
3 years ago
10

20 people applied for a job. Everyone either has a school certificate or diploma or even both. If 14 have school certificates an

d 11 diplomas how many have a school certificate only
Mathematics
1 answer:
STatiana [176]3 years ago
3 0

Given:

Either has a school certificate or diploma or even both = 20 people

Having school certificates = 14

Having diplomas = 11

To find:

The number of people who have a school certificate only.

Solution:

Let A be the set of people who have school certificates and B be the set of people who have diplomas.

According to the given information, we have

n(A)=14

n(B)=11

n(A\cup B)=20

We know that,

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

20=14+11-n(A\cap B)

20=25-n(A\cap B)

Subtract both sides by 25.

20-25=-n(A\cap B)

-5=-n(A\cap B)

5=n(A\cap B)

We need to find the number of people who have a school certificate only, i.e. n(A\cap B').

n(A\cap B')=n(A)-n(A\cap B)

n(A\cap B')=14-5

n(A\cap B')=9

Therefore, 9 people have a school certificate only.

You might be interested in
4
kiruha [24]

Answer:

39 tons

Step-by-step explanation:

35 + 4 = 39

6 0
3 years ago
V=(-2,4) what is the absolute value of v
zheka24 [161]

Answer:-2,4 is the answer

Step-by-step explanation:

7 0
3 years ago
What is 186 over 31​
KATRIN_1 [288]
Use Photomath it’s a good app for math
4 0
3 years ago
Read 2 more answers
Explain why the triangles are similar. Then find the missing​ length,
Law Incorporation [45]
6 because the small triangle is a dilation of 3
8 0
2 years ago
Solving an Equation with Decimals
zhuklara [117]

Answer:

y = 4

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • It’s takes a ant farm to eat an apple 4 days to eat 1/2 how long will it take to eat 3 apples
    14·1 answer
  • The following data represent the number of people aged 25 to 64 years covered by health insurance (private or government) in 201
    14·2 answers
  • Hannah went to the fair with her friends. She spent $7 to enter the fair and decided to play games until she won a stuffed anima
    9·1 answer
  • 1. Round this number to the nearest hundred.
    13·2 answers
  • A catering company charges $300 plus $40 per guest for a wedding. Sarah and Eric do not want to spend more than $5,000 on cateri
    12·1 answer
  • Can y’all also show me how to do this so I won’t have to come back here for help plz
    15·1 answer
  • The tape diagram shows the ratio of boys to girls at 4:5. If there are 275 total girls. How many boys are there?
    8·2 answers
  • I need all the angles of all four please, I uploaded them in order of each question
    5·1 answer
  • Find the value of y for the given value of x.
    12·1 answer
  • Sarah was thinking of a number. Sarah halves it and gets an answer of 46.5. What was the original number?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!