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
This shape is made up if the following
Alex

Answer:

a. 100.48

b. 1,004.8

c. 1,105.28

Step-by-step explanation:

a. a cone with volume = ⅓×3.14×4²×6=

100.48

b. a cylinder with volume = 3.14×4²×20=

1,004.8

c. total volume = 100.48+1,004.8

= 1,105.28

5 0
3 years ago
According to a survey of adults, 64 percent have money in a bank savings account. If we were to survey 50 randomly selected adul
zheka24 [161]

Answer:

The mean number of adults who would have bank savings accounts is 32.

Step-by-step explanation:

For each adult surveyed, there are only two possible outcomes. Either they have bank savings accounts, or they do not. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

In this problem, we have that:

p = 0.64

If we were to survey 50 randomly selected adults, find the mean number of adults who would have bank savings accounts.

This is E(X) when n = 50.

So

E(X) = np = 50*0.64 = 32

The mean number of adults who would have bank savings accounts is 32.

6 0
3 years ago
Which number satisfies the inequality 12n &lt; 3n+28<br>A) 3<br>B) 4 <br>C) 5<br>D) 6
DiKsa [7]
Your answer would be (A)
3 0
3 years ago
Esosa pays $43.19 for 3.7 pounds of salmon. What is the price per pound of the salmon?
joja [24]

Answer:

$11.67

Step-by-step explanation:

$43.19÷3.7=11.672972973, which rounds to $11.67.

3 0
3 years ago
Read 2 more answers
Mario brought a 1 gallon can of paint to paint his room. He used 0.5 gal for the fist coat and 0.4 gal for the second coat. How
emmainna [20.7K]
It would be 1/10 OR 0.1
7 0
3 years ago
Read 2 more answers
Other questions:
  • Is 100,60,50 a right triangle
    14·1 answer
  • Ashley’s Phone bill went from 32.25 to 18.70 what was the percent of decrease? Plz help a little confused...plz explain how you
    10·1 answer
  • Hearts win. In a new card game, you start with a well-shuffled full deck and draw 3 cards without replacement. If you draw 3 hea
    14·1 answer
  • Sam works a part-time job making $11 per hour. This week, she worked for eight hours. Penni also worked this week. The money Sam
    14·1 answer
  • 10.76568623 to the nearest hundred place
    8·2 answers
  • Is -5 3/8 a rational or irrational number?
    10·1 answer
  • Which of the following in not an essential part of a two-column proof?
    13·2 answers
  • In January, Mr Tan's students read 20 books. In Febuary, they read 15 books. What is the percent increase or decrease in the num
    11·1 answer
  • Nasim is ordering a taxi from an online taxi service. The taxi charges $3 just for the
    9·1 answer
  • Find the height of a cylinder with a volume of 720pi ft3 and the radius of 6 ft ​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!