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
Can someone help me plz?
mr_godi [17]

Answer:

60 degrees

Step-by-step explanation:

The total measures of a triangle should equal 180 total. Add the three known angles to get 120. Subtract that from 180 to get 60. So, the last angle measures 60 degrees.

6 0
3 years ago
How many tens are there in 10 ones? <br>​
AlexFokin [52]

Answer:

1 ten.

Step-by-step explanation:

1 ten = 10 ones/units

7 0
3 years ago
Read 2 more answers
A, b, c, and d please
DIA [1.3K]
<h2>Answers / Step-by-step explanation:</h2><h3>a. What is the length of one side of the square.</h3>

<em>Looking at the image, the radius (r) of the circle appears to cover half of the length of a side of the square. Hence, the side of the square has a length of </em><em>2r</em><em>.</em>

<em />

<u><em>-------------------------------------------------------------------------------------------------------</em></u>

<em />

<h3>b. The formula A= πr² is used to find the area of a circle. The formula A=4r² can be used to find the area of the square. Write the ratio of the area of the circle to the area of the square in the simplest form.</h3>

<em />Ratio=\frac{\pi r^{2} }{4r^2} =\frac{\pi}{4}.

<em>Notice that the value "r²" disappears from the expression because is being multiplied and divided by it at the same time.</em>

<em />

Ratio=\frac{4\pi }{16} =0.7854.

<em />

<u><em>-------------------------------------------------------------------------------------------------------</em></u>

<em />

c. Complete the table.

<em>To complete each cell of the table, simply take the equation of the asked parameter and substitute the value of r by the number indicated in the title of the column. For example, column 3 should be filled out like this:</em>

Area of Circle (units²): π(3)²or 9π.

Length of 1 Side of the Square: 2r= 2(3)= 6.

Area of Square (units²)= 4r²= 4(3)²= 36.

Ratio: \frac{\pi}{4}.

<em>Do the same for all the other columns. </em>

<em>The answers to the table are presented on the attached image</em><em>.</em>

<em />

<u><em>-------------------------------------------------------------------------------------------------------</em></u>

<em />

d. What can you conclude about the relationship between the area of the circle and the square?

<em>They will always have the same value, π/4, regardless of the size of the square and circle. As long as the circle borders meet the square's at the middle of each side of the square, the relationship will be the same</em><em>.</em>

4 0
2 years ago
How do you write 70% as a fraction in simplest form ?
alexdok [17]
70% equals to 70/100 in fraction form.
But, you need to write it in simplest form. so, divide both of them from 10 'cause they both can divide completely by it.
70/100 = 7/10
so, your answer is 7/10
3 0
3 years ago
Question 5
anzhelika [568]

Answer:anwser would be c

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Find the unit rate. Enter your answer as a mixed number.
    12·1 answer
  • Consider the figure. What is the value of x?
    5·1 answer
  • 85/100 = x/80. What is the unknown quantity?
    15·2 answers
  • PLs answer this question
    13·1 answer
  • 2 box plots. The number line goes from 175 to 450. For resort A, the whiskers range from 175 to 375, and the box ranges from 250
    12·2 answers
  • 10 points for whoever can solve this for my brother
    9·2 answers
  • 4p-7=10p+11<br><br> 6<br> -6<br> 3<br> -3<br> 8<br> -8<br> 5<br> -5
    7·2 answers
  • One-half of the sum of 8 and x. write in algebraic expression
    15·1 answer
  • What is the following simplified product? Assume x 0.<br> (sqrt6x^2+4sqrt8x^3)(sqrt9x-xsqrt5x^5)
    5·1 answer
  • The lengths of the legs of a right triangle are 4.5 inches and 6 inches.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!