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
Vladimir [108]
3 years ago
14

Of all the soft drink consumers in a particular sales region, 30% prefer Brand A and 70% prefer Brand

Mathematics
2 answers:
weeeeeb [17]3 years ago
5 0
67% (0.67) because 30% like brand a and 20% of people are females that like brand A so 20:30 is 2/3 which is 0.6 repeating which rounds to 0.67
victus00 [196]3 years ago
3 0

Answer:

Option D -0.67

Step-by-step explanation:

Given : Preference of Brand A =30% ⇒ P(A)=\frac{30}{100}=0.3

Preference of Brand B =70% ⇒ P(B)=\frac{70}{100}=0.7

Prefer Brand A and are Female = 20% ⇒ P(A/F)=\frac{20}{100}=0.2

Prefer Brand B and are Female = 40% ⇒ P(B/F)=\frac{40}{100}=0.4

To find : Selected consumer is female, given that the person prefers Brand A P(F/A)

Solution : Using Bayes' theorem, which state that

P(A/B)=\frac{P(B/A)P(A)}{P(B)}

where, P(A) and P(B) are probabilities of observing A and B.

P(B/A)= is a conditional probability where event B occur and A is true

P(A/B)= also a conditional probability where event A occur and B is true.

Now, applying Bayes' theorem,

P(F/A)=\frac{P(A/F)P(A)}{P(B)P(B/F)+P(A)P(A/F)}

P(F/A)=\frac{(0.2)(0.3)}{(0.7)(0.4)+(0.3)(0.2)}

P(F/A)=\frac{0.6}{0.28+0.6}

P(F/A)=\frac{0.6}{0.88}

P(F/A)=0.68

Therefore, Option D is correct probability that a randomly selected consumer is female, given that the person prefers Brand A -0.67

You might be interested in
Daja is packing her backpack for school. Her textbook weighs 1 ¼ pounds. Her notebooks weigh ¼ pound. Her other supplies weigh ¾
Shalnov [3]

Answer:

2 1/4 or 2.25

Step-by-step explanation:

1 1/4 + 1/4 = 1 2/4

1 2/4 + 3/4 = 2 1/4

6 0
2 years ago
Read 2 more answers
Rhonda bought five shirts from a
densk [106]

Answer:

Option C 10+5x=24+3x

Step-by-step explanation:

Let

x ------> the cost of each shirt

we know that

The cost of 5 shirts plus $10 (amount of money that would remain) must be equal to the cost of 3 shirts plus $24 (amount of money that would remain). Considering that the cost of the shirts is the same

The linear equation that represent this scenario is

10+5x=24+3x

Solve for x

5x-3x=24-10

2x=14

x=\$7

8 0
2 years ago
Are any of you fans of Bath & Body Works Into The Night fragrance? And what do you think it smells like?​
lubasha [3.4K]

Answer:

I am I fan I have lots of stuff there I thinks it smells okay

7 0
3 years ago
Read 2 more answers
State the domain of the following : a. y = √ x + 1 /√ 25 − x^2 <br>b. f(x) = (√ 1 − x ) ln x
almond37 [142]

Answer:

a.) -1 < x < 5

b.) x <= 1

Step-by-step explanation: Domain is the independent variable (x).

For both question a and b, make sure that the number under the square root does not end up being negative. And the denominator of the fractional number is not equal to zero when variable x is being substituted for any value.

a.) y = √ x + 1 /√ 25 − x^2 

Domain : -1 < x < 5

That is the minimum value for x is 0 and the maximum value is 4

b. f(x) = (√ 1 − x ) ln x

Domain : x <= 1

That is, x is less than or equal to 1

The maximum value for x is 1. x can be

1, 0, -1, -2, -3, ..........

8 0
2 years ago
What is the correct answer
blagie [28]

Answer:

i think 3rd

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Which expression is equivalent to one over fivem − 20?
    7·2 answers
  • The graph of the function, ƒ, is shown. Find all numbers, x, such that f(x) = 1.
    8·2 answers
  • There are 26 students at Williams math class the mean height of the student is 160 cm and the median height is 156 cm to inch aq
    6·1 answer
  • What is the measure of angle x?
    8·2 answers
  • Sam‘s final grade for an class is based on his sores form a midterm test (M), a project (P) and a final exam ( F). The midterm t
    8·1 answer
  • Please Help Me!!!! ;)
    12·1 answer
  • I dont quite understand this.. Check the picture and help
    9·1 answer
  • 2.(08.01 MC)
    10·1 answer
  • Please help me on thiss
    6·2 answers
  • Hi please help i’m stuck
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!