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Inessa05 [86]
2 years ago
12

An ad agency is developing a campaign to promote a business opening in a new mall development. To develop an appropriate mailing

list, they decide to purchase lists of credit card holders from MasterCard and American Express. Combining the lists, they find the following: 40 percent of the people on the list have only a MasterCard and 10 percent have only an American Express card. Another 20 percent hold both MasterCard and American Express. Finally, 30 percent of those on the list have neither card. Suppose a person on the list is known to have a MasterCard. What is the probability that person also has an American Express card?
Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
6 0

Answer:

The answer is 1/3 or 0.33

Step-by-step explanation:

Let's consider the following ocurrences:

A: A person has a MasterCard

B: A person has an American Express

The data says:

P(A∩B) = 0.2

P(A without B) = 0.4

P(B without A) = 0.1

Then, P(A) =  P(A∩B) +P(A without B) = 0.2+0.4 = 0.6

By conditional probability theory:

P (B/A) = P(A∩B) / P(A) = 0.2 / 0.6 = 1/3 = 0.33

Thus

P(B/A) = 1/3 = 0.33

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Answer:

  18.5 m

Step-by-step explanation:

The diameter in meters is 5.90, so the circumference of the room is ...

  C = πd = 5.90π m ≈ 18.5 m

The perimeter of the room is about 18.5 m.

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2 years ago
In blueprints an architects firm drew everything 1/24 of the actual size the windows will actually measure 4feet by 6 feet and t
stich3 [128]
To apply a scale to a measure, you have to follow this rule:

Real measure x Scale = Scaled measure

So the drawings will have:

4 x 1/24 = 0'167 feet
6 x 1/24 = 0'25 feet
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</span>
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2 years ago
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The Parker family drove a total of 180 miles on the road trip. This distance is 1.5 times the distance they drove on the first d
Veronika [31]

Parker family drove 120 miles on the first day

Step-by-step explanation:

Given:

Total miles driven on the road trip= 180 miles

solution:

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Hence, x = 120.

The distance travelled on the first day is 120 miles.

4 0
2 years ago
THE COST OF SALAD AT A RESTAURANT DEPENDS ON MANY FACTORS LIST AT LEAST TWO INDEPENDENT VARIABLES THAT COULD AFFECT THE COST OD
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Answer:

A

Step-by-step explanation:

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Joaquin and Trisha are playing a game in which the lower median wins the game. Their scores are shown below.
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Median is defined as the middle term when the scores are arranged in increasing/decreasing order.

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