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
Mandarinka [93]
3 years ago
9

The usher at a wedding asked each of the 80 guests whether they were a friend of the bride or of the groom. Find the probability

that a randomly selected person from this sample was a friend of the bride OR of the groom.
Mathematics
1 answer:
yawa3891 [41]3 years ago
4 0

<u>Complete Question</u>

The usher at a wedding asked each of the 80 guests whether they were a friend of the bride or of the groom. The results are: 59 for Bride, 50 for Groom, 30 for both. Find the probability that a randomly selected person from this sample was a friend of the bride OR of the groom.

Answer:

0.9875

Step-by-step explanation:

Total Number of Guests which forms the Sample Space, n(S)=80

Let the Event (a friend of the bride) =A

Let the Event (a friend of the groom) =B

n(A) =59

n(B)=50

Friends of both bride and groom, n(A \cap B)=30

Therefore:

n(A \cup B)=n(A)+n(B)-n(A \cap B)\\n(A \cup B)=59+50-30\\n(A \cup B)=79

The number of Guests who was a friend of the bride OR of the groom = 79

Therefore:

The probability that a randomly selected person from this sample was a friend of the bride OR of the groom.

P(A \cup B) =\dfrac{n(A \cup B) }{n(S)} \\\\=\dfrac{79 }{80}\\\\=0.9875

You might be interested in
What is the exact circumstance of circle with 16 in.<br><br>8in<br>16in<br>32in<br>48in​
rusak2 [61]

The answer is c=50.272, for other problems like this use the formula: The circumference = π x the diameter of the circle (Pi multiplied by the diameter of the circle).

5 0
3 years ago
A community college has 2,000 students and 50 instructors. Next year the enrollment will be 6,000. How many new instructors shou
juin [17]
\begin{array}{ccc}2,000&-&50\\\\6,000&-&x\end{array}\\\\\\2,000x=50\times6,000\ \ \ \ \ /:2,000\\\\x=\frac{300,000}{2,000}\\\\x=150\\\\150-50=100\\\\Answer:100\ new\ instructors.
7 0
3 years ago
Which is a quadratic function?
ryzh [129]

Answer: f(x)=5x^2-4x+5

Step-by-step explanation:

A quadratic function is as following; ax^2+bx+c

Notice that it cannot be f(x)=0x^2-4x+7 because if you solve; 0x^2=0 which eliminates the x^2.

5 0
3 years ago
12. Phil invests $5000 in a high-interest savings account and earns 3.5% simple
Ksenya-84 [330]

Answer: 13 years

Step-by-step explanation: this is the equation

5000(1+0.035)^n=7800

4 0
3 years ago
F(2) = -13 and f(-3) = 12
mario62 [17]

Answer:

f(x) = -5x-3

Step-by-step explanation:

f(x) = ax + b

f(2)=-13 & f(-3) =12

2a + b = -13

-3a+ b = 12

_________-

5a = -25

a = -5

b= -13+10= -3

so the formula of f(x) = -5x -3

5 0
3 years ago
Other questions:
  • What are the dimensions of the rectangle shown below? Remember to use the axes on the coordinate grid to help you.
    15·1 answer
  • Lisa earns $8.10 an hour and worked 40 hours. Jamie earns $10.80 an hour. How many hours would Jamie need to work to equal Lisa’
    15·2 answers
  • Help me ! Please I’m trying to get pass this !
    14·2 answers
  • Find the product AB if possible A = (1 -6 1 -8 -1 -9 -4 -1 -9) B = (-4 -5 1 -3 3 -4 -1 4 9)
    14·1 answer
  • Josie wants to hang a “Happy Birthday” banner across the diagonal of a rectangular opening that has a width of 9 feet and a heig
    10·1 answer
  • 80 POINTS !!!!! PLEASE HELP.
    7·1 answer
  • Can someone plz help me
    6·1 answer
  • The sum of the second and third terms of G.P is six times the fourth term. Find the two possible values of the common ratio​
    13·1 answer
  • Please can you help?
    9·2 answers
  • (2 squared • 3 to the fourth power) cubed
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!