answer.
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
navik
1 month ago
12

Of all the Sunny Club members in a particular city, 25% prefer swimming on weekends and 75% prefer swimming on weekdays. It is f

ound that 10% of the members in that city prefer swimming on weekends and are female, while 55% of the members in that city prefer swimming on weekdays and are female. The probability that a club member picked randomly is female, given that the person prefers swimming on weekends, is . NextReset
Mathematics
2 answers:
Svet_ta [12.7K]1 month ago
6 0

Answer: The likelihood that a randomly selected club member is female, assuming the individual enjoys swimming on weekends, is 40%.

Step-by-step explanation:

Let E₁ represent the scenario where members favor weekend swimming.

Let E₂ denote the scenario where members favor weekday swimming.

Let A signify the event that members are female.

The probability that members prefer weekend swimming P(E₁) is 25%.

The probability for members who prefer weekday swimming P(E₂) is 75%.

The probability of members who are female and prefer weekend swimming P(A∩E₁) is 10%.

The probability of female members who prefer weekday swimming P(A∩E₂) is 55%.

To determine the probability of a member being female when they prefer weekend swimming, we apply the Conditional theorem.

P(A\mid E_1)=\dfrac{P(A\cap E_1)}{P(E_1)}\\\\P(A\mid E_1)=\dfrac{10}{25}\\\\P(A\mid E_1)=0.4\\\\P(A\mid E_1)=0.4\times 100\%=40\%

Thus, the chance that a randomly chosen club member is female, provided they like swimming on weekends, is 40%.

Leona [12.6K]1 month ago
3 0
P(f | weekend) = p(f & weekend)/p(weekend)
.. = 10%/25%
.. = 0.4 = 2/5
You might be interested in
Mary wrote a book of 1536 pages. She numbered all pages by hand. How many times did she write the digit 6?
lawyer [12517]

Response:

404 instances

Detailed breakdown:

8 0
1 month ago
If Ana devotes all her time to making fudge, she can make 3 pounds of fudge an hour, and if he devotes all her time to making to
lawyer [12517]

Answer: Ana should produce more fudge, and Leo should produce more toffee.

Step-by-step explanation:

Comparative advantage defined: A person or country has a comparative advantage producing a good if their opportunity cost for it is lower than someone else's.

In this case, Ana and Leo will both benefit if they focus on the product for which they have the lower opportunity cost.

(a) Ana’s production possibilities:

If she spends all her time making fudge: 3 pounds; or toffee: 2 pounds.

Opportunity cost of 1 pound fudge = 2/3 = 0.66 pounds toffee

Opportunity cost of 1 pound toffee = 3/2 = 1.5 pounds fudge

(b) Leo’s production opportunities:

All time making fudge: 4 pounds; or toffee: 5 pounds.

Opportunity cost of 1 pound fudge = 5/4 = 1.25 pounds toffee

Opportunity cost of 1 pound toffee = 4/5 = 0.8 pounds fudge

Since Ana’s opportunity cost for fudge is lower than Leo’s, she should specialize in fudge production.

Conversely, Leo has a lower opportunity cost for toffee, so he should focus on producing toffee.

7 0
2 months ago
On her birthday, Sonia distributed chocolates in an orphanage. She gave 5 chocolates to each child and 20 chocolates to adults.
Svet_ta [12734]

Answer with explanation:

Total number of children = x

Total chocolates shared = y

In total, the chocolates distributed to the children equals 5 times the number of children, or 5 x.

Chocolates received by adults equal 20.

Let the number of adults be z.

Expressing this situation as an equation:

y = 5 x + 20 z

z=\frac{y-5 x}{20}

⇒Number of adults = z

       =\frac{y-5 x}{20}

3 0
1 month ago
Marie saved $3,000 dollars last year. She saved $600 in the month of January. What percent of the money she saved last year was
tester [12383]
In January, 20% of the total savings were achieved. To find this percentage, first determine the difference (increase) between the two amounts you’re scrutinizing. The increase is calculated as New Number - Original Number. Next, divide this increase by the original figure and then multiply by 100 for the percentage increase.
5 0
16 days ago
Read 2 more answers
Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?
Inessa [12570]
X^3-7x^2-5x+35

= x^2(x-7) - 5 (x-7) using definitions

=(x^2-5)(x-7)

I hope this is helpful.
8 0
1 month ago
Read 2 more answers
Other questions:
  • The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation an
    5·2 answers
  • A 3m ladder stands on horizontal ground and reaches 2.8 m up a vertical wall. how far is the foot of the ladder from the base of
    10·1 answer
  • Explain what it means to have a correlation in a scatterplot.
    9·2 answers
  • Which is the missing number: 9876, 6447, 2527, x?
    15·1 answer
  • Name three common measurements that are expressed as a ratio of two units.
    5·1 answer
  • Suppose pieces of chocolate pie served at a restaurant average 350 calories with a standard deviation of 20 calories. Calories h
    15·1 answer
  • Which graph shows a function whose inverse is also a function? On a coordinate plane, two curved graphs are shown. f (x) sharply
    13·1 answer
  • There are 30 students in Mrs. Woodward’s class, and 1/5 of the class has their own cell phone. Of this group of students, 1/2 of
    8·1 answer
  • A bag of garden soil weighs 38 pounds and holds 4 cubic feet. Find the weight of 15 bags in kilograms and the volume of 15 bags
    5·1 answer
  • The Sahara Desert has an area of approximately 9,400,400 km2. While estimates of its average depth vary, they center around 150
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!