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
mezya [45]
3 years ago
9

Fiction Cruiseline offers three ways to exercise on their cruise ships. 73 of the 86 passengers participated in at least one met

hod of exercise. 36 people went rock climbing, 44 people went ice skating, and 27 went to the fitness center. 14 people went rock climbing and ice skating, 11 people went rock climbing and to the fitness center, and 9 people went ice skating and to the fitness center. Calculate the probability for each given event.
Mathematics
1 answer:
lutik1710 [3]3 years ago
4 0

Answer:

The probability of exercise in cruise ships = 73

Step-by-step explanation:

Let A be the probability of rock climbing

Let B be the probability of ice skating

Let C be the probability of fitness center

P(A) = 36, P(B) = 44, P(C) = 27

P(A ∩ B) = 14, P(A ∩ C) = 11, P(B ∩ C) = 9

P(A ∩ B ∩ C)=0

By formula,

P(A ∪ B ∪ C) = P(A) + P(B) + P(C) − P(A ∩ B) − P(A ∩ C) − P(B ∩ C) + P(A ∩ B ∩ C).

Substituting the values in the above formula,

P(A ∪ B ∪ C) = 36 + 44 + 27 - 14 - 11 - 9 + 0

  = 107 - 14 - 11 - 9

P(A ∪ B ∪ C)  = 73

You might be interested in
Calculate cos(480°) and sin(480°).
hram777 [196]

Answer:

\cos(480^\circ)=-\dfrac{1}{2}

\sin(480^\circ)=\dfrac{\sqrt{3}}{2}

Step-by-step explanation:

Calculate the value of trigonometry function.

\cos(480^\circ) and \sin(480^\circ)

Split the angle between 0 to 90° using trigonometry formula.

\Rightarrow \cos(360^\circ+120^\circ)  

\Rightarrow \cos(120^\circ)                \because \cos(360+\theta)=\cos\theta

\Rightarrow \cos(180^\circ-60^\circ)             \because 120=180-60

\Rightarrow -\cos(60^\circ)                       \because \cos(180-\theta)=-\cos\theta

\Rightarrow -\dfrac{1}{2}

Therefore, cos(480°) = -0.5

\Rightarrow \sin(360^\circ+120^\circ)  

\Rightarrow \sin(120^\circ)                \because \sin(360+\theta)=\sin\theta

\Rightarrow \sin(180^\circ-60^\circ)             \because 120=180-60

\Rightarrow \sin(60^\circ)                       \because \sin(180-\theta)=\sin\theta

\Rightarrow \dfrac{\sqrt{3}}{2}

Therefore, sin(480°) = 0.866

7 0
3 years ago
Hi i want to ask you something Emma wrote thirty-six thousand,forty-two as 3,642.Explain what she did wrong.Then write the numbe
nirvana33 [79]
She did not put 36 as a thousand. The real answer is 36,042
4 0
2 years ago
Read 2 more answers
What is a+b=c if a is equal to b
swat32
If a = b then a + b = c is

2a = c

OR

2b = c
6 0
3 years ago
Someone help 9th grade math i will give brainliest
DENIUS [597]

Answer:

I think it may be H. but let me know if i am wrong. if i am right plz mark brainliest

Step-by-step explanation:

27 divided by 3 is 9, 27/3=9 because 27/3 is the same exact thing as 27 divided by 3. So the answer has to be 9

6 0
2 years ago
Can you help me with this ,please?​
lana [24]
First one and the last one are rational. And the other two of them are irrational.
8 0
2 years ago
Other questions:
  • F(x)=(x-1)2-9<br> f(x)=(x+2)(x-4)
    13·1 answer
  • What is the best first step to solve the inequality 5x - 322?
    13·1 answer
  • What is 160% of what is 32
    8·2 answers
  • A1 = 5 and d = 5 find the 25th term
    9·1 answer
  • Paula drew this plan for a new backyard shed. each unit is 1 foot. what is the perimeter of the shed?
    15·1 answer
  • 40 pages in 4 days =<br> pages per day
    8·2 answers
  • On a map, 1 in.represents 20 mi. Two cities are 3 1/2 in. apart on the map.How far apart are the actual cities
    13·2 answers
  • Find the values of x and y.<br> 3x - 5<br> 5y - 4<br> y + 12<br> X =<br> y=
    8·1 answer
  • What is the length of the rectangular plot of land​ shown? Use pencil and paper. How are the lengths of the legs of a right tria
    13·1 answer
  • Us mathematical symbols to write an inequality that compares -2 and -9
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!