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Karolina [17]
3 years ago
8

The probability that a comic book reader in a particular city prefers comics published by Company A is 25%. The probability that

a comic book reader in the city is male is 70%. If the probability of a comic book reader in the city being a male, given that the reader prefers Company A's comics, is 40%, what is the probability of the reader preferring Company A's comics, given that the reader is a male? 0.14 0.25 0.30 0.45
Mathematics
2 answers:
Andrew [12]3 years ago
6 0
We know that 70% of all comic book fans are male, and that 40% of Company A fans are male. 

Since 25% of all comic book fans are company A fans: 
0.4 * 0.25 (meaning 40% of 25%) = 0.1, or 10% of all comic book fans are male company A fans. 

What percentage, then, of male comic book fans are company A fans?
0.1 ÷ 0.7 = 0.142
We divide 10%, the percentage of all comic book fans that are male and company A fans, by the percentage of comic book fans that are male, since we are given that the fan is male. 

Answer is 0.14
kolezko [41]3 years ago
3 0

Answer:

0.14

A is the correct answer.

Step-by-step explanation:

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The number of potential customers that the company has reached is 10,000  e--mail addresses.

<h3>What is a word problem in mathematics?</h3>

A word problem is a real-life problem and it can be approached with the use of a mathematical model, interpretation into variables, and arithmetic operations usage.

Given that:

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The number of potential customers that the company has reached is:

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8 0
2 years ago
Penny's garden has alength of 16ft. and the width is 5 ft. with a rectangular fountain in the middle that measures 5 ft by 9 ft.
lilavasa [31]

First we need the whole garden:

16 x 5 = 80

Now we need to fountain:

5 x 9 = 45

Now to find our answer:

80 - 45 = 35

So our answer is B. 35ft²

4 0
3 years ago
Two cards are drawn with replacement, one after the other, and the outcomes recorded. What is the probability that at least one
babymother [125]

Answer:

The probability is 0.231

Step-by-step explanation:

In this question, we are tasked with calculating the probability that out of two cards drawn with replacement from a pack of cards , at least one of the two is a face card.

In a standard pack of cards, there are 52 cards.

Now let’s calculate the number of face cards we have.

There are 12 face cards in a pack of cards. There are 4 of each of Jack, Queen or King

The probability of drawing a face card is 12/52 = 3/13

Now, we want to calculate the probability of at least one of the cards drawn are face cards.

Mathematically, what we are needing to calculate is

Probability of drawing a single face card or probability of the two being a face card

Now let’s calculate.

The probability of the first card drawn being a face card is 3/13. The probability of the second card not being a face card will be 1-3/13 = 10/13

The joint probability under this first set of condition will be 3/13 * 10/13 = 30/169

Now, for the second condition, here we are considering that both cards drawn are face cards. What we have is 3/13 * 3/13 = 9/169

Now in probabilities, whenever we are having the statement or, we add the probabilities together

Thus, the probability here would be 30/169 + 9/169 = 39/169 = 3/13

In decimal this will be 0.231

8 0
3 years ago
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alex41 [277]
The slope formula is y2-y1/x2-x1 so 5-(-1) =6 Then. 1-(-1)=2 so 6/2. =3. THE ANSWER IS 3
8 0
3 years ago
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Consider a simple example of moral hazard. Suppose that Woodrow goes into a casino to make one bet a day. The casino is very bas
Neko [114]

Answer:

The expected value of the safe bet equal $0

Step-by-step explanation:

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is its probability distribution, then the expected value of the distribution is defined as

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What is the expected value of the safe bet?

In the safe bet we have only two possible outcomes: head or tail. Woodrow wins $100 with head and “wins” $-100 with tail So the sample space of incomes in one bet is

S = {100,-100}

Since the coin is supposed to be fair,  

P(X=100)=0.5

P(X=-100)=0.5

and the expected value is

E(X) = 100*0.5 - 100*0.5 = 0

6 0
3 years ago
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